CSTM 100
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CS-Element Algebra
|
CS-Element Algebra
|
CSTM 120
|
Intermediate Algebra
|
Intermediate Algebra
|
CSTM 121
|
Rev Intermed Algebra
|
Rev Intermed Algebra
|
CSTM 130
|
Prelim College Math
|
Prelim College Math
|
CSTM 131
|
Rev Precalculus Prlm
|
Rev Precalculus Prlm
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FSPM 10
|
Elementary Algebra I
|
Elementary Algebra I
|
FSPM 100
|
Elementary Algebra
|
Elementary Algebra
|
FSPM 102
|
MTH 0100 + MTH 0120
|
MTH 0100 + MTH 0120
|
FSPM 1023
|
Intermediate and College Algebra
|
This course is identical to MTH 1023 and is to be part of the college’s summer immersion program for new students. It develops the algebraic topics that are needed for most basic quantitative courses at the college, including factoring, quadratics,...
|
FSPM 1030
|
College Algebra
|
College Algebra
|
FSPM 1031
|
College Algebra
|
College Algebra
|
FSPM 120
|
Elem Algebra II
|
Elem Algebra II
|
FSPM 121
|
Modified Elementary Algebra
|
Modified Elementary Algebra
|
FSPM 130
|
Intermed Algegra
|
Intermed Algegra
|
FSPM 131
|
Modified Intermd Alg
|
Modified Intermd Alg
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FSPM 20
|
Elementary Algebra II
|
Elementary Algebra II
|
FSPM 2001
|
Precalculus
|
Precalculus
|
FSPM 2300
|
Discrete Mathematics
|
Discrete Mathematics
|
FSPM 30
|
Intermediate Algebra
|
Intermediate Algebra
|
FSPM 8
|
Basic Skills Refresh
|
Basic Skills Refresh
|
FSPM 9
|
Basic Skills Refresh
|
Basic Skills Refresh
|
MATH ADVR1
|
Math Adviser 1
|
Math Adviser 1
|
MATH ADVR2
|
Math Adviser 2
|
Math Adviser 2
|
MATH ADVSR
|
See Math Advisor
|
See Math Advisor
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MATH PRLDE
|
Prelude To Success
|
Prelude To Success
|
MTH 1
|
Preparatory Math I
|
Preparatory Math I
|
MTH 10
|
Elementary Algebra I
|
Elementary Algebra I
|
MTH 100
|
Preliminary Math
|
Preliminary Math
|
MTH 1002
|
Math Of Investments
|
Math Of Investments
|
MTH 1003
|
Intro To Finite Math
|
Intro To Finite Math
|
MTH 1007
|
Intro Coll Algebra
|
Intro Coll Algebra
|
MTH 1023
|
Intermediate and College Algebra
|
This course develops the algebraic topics that are needed for most basic quantitative courses at the college, including factoring, quadratics, linear equations, rates of change, rational and irrational expressions, functions and their graphs, non-lin...
|
MTH 1030
|
College Algebra
|
This course develops the algebraic topics that are needed for most basic quantitative courses at the college, including linear equations, rates of change, rational expressions, functions and their graphs, Exponential and logarithmic functions, non-li...
|
MTH 1052
|
Elementary Mathematics of Finance and Probability Theory
|
This course contains elementary mathematics concepts useful in finance, including sigma notation, geometric sums, compound interest simple annuities, general annuities, perpetuities, elementary probability theory, and an introduction to life annuitie...
|
MTH 11
|
Preparatory Math I
|
Preparatory Math I
|
MTH 111
|
Prelim Mathematics B
|
Prelim Mathematics B
|
MTH 112
|
Prep Mathematics B
|
Prep Mathematics B
|
MTH 12
|
Preparatory Math II
|
Preparatory Math II
|
MTH 120
|
Elementary Algebra
|
Elementary Algebra
|
MTH 121
|
Modified Elem Algebr
|
Modified Elem Algebr
|
MTH 122
|
Elementary Algebra B
|
Elementary Algebra B
|
MTH 122L
|
Mth 0122 Lecture
|
Mth 0122 Lecture
|
MTH 123
|
Preparatory Algebra
|
Preparatory Algebra
|
MTH 123L
|
Mth 0123 Lect
|
Mth 0123 Lect
|
MTH 13
|
Preparatory Math III
|
Preparatory Math III
|
MTH 130
|
Intermediate Algebra
|
Intermediate Algebra
|
MTH 131
|
Modified Intermediate Algebra
|
Modified Intermediate Algebra
|
MTH 132
|
Intermediate Algebra B
|
Intermediate Algebra B
|
MTH 132L
|
Mth 0132 Lecture
|
Mth 0132 Lecture
|
MTH 14
|
Preparatory Math IV
|
Preparatory Math IV
|
MTH 150
|
Basic Math I
|
Basic Math I
|
MTH 150B
|
Basic Math II
|
Basic Math II
|
MTH 2
|
Preparatory Math II
|
Preparatory Math II
|
MTH 20
|
Elementary Algebra II
|
Elementary Algebra II
|
MTH 2000
|
Pre-Calculus: College Algebra and Trigonometry
|
The course is designed to provide the student with the background needed for the student of calculus. Algebra topics to be discussed include algebraic functions and equations, exponential and logarithmic functions and equations, systems of linear equ...
|
MTH 2001
|
Pre-Calculus
|
This course introduces the student to techniques of algebra, trigonometry, and matrix theory necessary for the study of calculus as well as quantitative courses in allied disciplines. Topics to be covered include advanced topics in algebra, analytic...
|
MTH 2002T
|
Pre-Calculus with Tutorial
|
This course contains most of the content of MTH 2001, with the exception of the theory of algebraic equations and operations with matrices. It also includes a tutorial covering topics from intermediate algebra. Not open to students who completed MTH...
|
MTH 2003
|
Precalculus and Elements of Calculus 1A
|
This course will integrate material from precalculus with introductory topics from applied calculus, including a detailed study of functions, limits and continuity, the circle, tangent lines, rates of change, differentiation of algebraic functions, m...
|
MTH 2004
|
College Algebra
|
College Algebra
|
MTH 2005
|
Topics Applied Math
|
Topics Applied Math
|
MTH 2006
|
Introductory Calculus
|
This course is an introduction to the differential calculus of one and several variables with applications to business and economics. Topics to be discussed include intuitive and geometric definitions of the limit; derivatives of algebraic, exponenti...
|
MTH 2006L
|
Mth 2006 Lecture
|
Mth 2006 Lecture
|
MTH 2006W
|
Calculus Workshop
|
Calculus Workshop
|
MTH 2007
|
Introductory Calculus and Matrix Algebra
|
This course covers all the calculus in MTH 2006 and includes the matrix algebra found in MTH 2001. Topics to be discussed include algebra or matrices; inverses; linear systems of equations; Gaussian elimination; intuitive and geometric definitions of...
|
MTH 2007L
|
Mth 2007 Lecture
|
Mth 2007 Lecture
|
MTH 2008
|
Calculus Computer Laboratory
|
This laboratory course is taken concurrently with sections of MTH 2610 (Calculus I) or MTH 2206 (Applied Calculus). The topics to be covered include an introduction to DOS, an introduction to the features of the software package, and the use of the p...
|
MTH 2009
|
Precalculus
|
This course integrates material from pre-calculus with introductory topics from applied calculus, including a detailed study of functions, limits and continuity, the circle, tangent lines, rates of change, differentiation of algebraic functions, matr...
|
MTH 2010
|
Elementary Calculus I
|
Topics to be discussed include functions, inequalities, limits, derivatives of functions, applications to geometry and elementary economic analysis, theory of maxima and minima, antiderivatives, integration of functions, applications to geometry, and...
|
MTH 2011
|
Elm Calculs I Modify
|
Elm Calculs I Modify
|
MTH 2030
|
Analytic Geometry and Calculus I
|
Topics to be discussed include elements of plane analytic geometry; vectors in the plane and their properties; limits, derivatives, and integrals of functions of one variable; polynomial, rational, trigonometric, exponential, and logarithmic function...
|
MTH 21
|
Elementary Algebra II
|
Elementary Algebra II
|
MTH 2100
|
Finite Math
|
Finite Math
|
MTH 2107
|
Bus Calc Ext Alg Rev
|
Bus Calc Ext Alg Rev
|
MTH 2120
|
Mathematics Appreciation
|
This class is designed to introduce students with basic math skills to the beauty and importance of mathematics in the arts and sciences. Students will read and write about subjects that can be understood with a minimal amount of mathematics. Topics...
|
MTH 2140
|
Mathematics and Quantitative Reasoning
|
This class is designed to introduce students to thinking critically and applying it to problem solving. It will review the necessary basic skills while examining problems in financial management, statistical reasoning, basic notions in probability, a...
|
MTH 2150
|
Topics in Finite Mathematics with Basic Programming
|
Topics to be included are: Linear systems (Gauss Elimination) vectors, matrices, sets, classification, analysis, probability, conditional probability. Markov chains; compound interest, annuities, perpetuities, computer programming (BASIC).
|
MTH 2160
|
Ideas in Mathematics and Their Applications
|
This course is designed for the liberal arts student who wants to sample the intellectual breadth of mathematics. Topics are chosen which are representative of the following fields: number theory, infinity in mathematics, geometry and topology, moder...
|
MTH 2161T
|
Ideas In Math with Tutor
|
Ideas In Math with Tutor
|
MTH 2200
|
Cultural Mathematics
|
Cultural Mathematics
|
MTH 2201
|
Applied Calculus with Algebra Refresher
|
Formerly MTH 2107. This course contains all the content of both MTH 2206 and 2207 and includes a detailed review of the necessary algebraic techniques needed for calculus. Students are required to have a graphical calculator recommended by the depart...
|
MTH 2202
|
Mathematics for Elementary and Early Childhood Education
|
This course develops elementary school mathematics from an advanced viewpoint. Emphasis is placed on developing reasoning and problem-solving skills. Topics included are operations and algorithms in the system of whole numbers, arithmetic operations,...
|
MTH 2205
|
Precalculus and Elements of Calculus 1B
|
This course will include the first and second derivative tests, optimization, exponential and logarithmic functions, Riemann sums, areas, antiderivatives and business applications. This course is not open to students who have completed MTH 2201, 2206...
|
MTH 2206
|
Applied Calculus
|
This course is an introduction to the differential calculus of one and several variables with applications to business and economics. Topics to be discussed include intuitive and geometric definitions of the limit; derivatives of algebraic, exponenti...
|
MTH 2207
|
Elements of Calculus I and Matrix Algebra
|
This course contains the calculus included in MTH 2003 and MTH 2205 and the matrix algebra found in MTH 2003. Topics to be discussed include algebra of matrices; inverses; linear systems of equations; Gaussian elimination; intuitive and geometric def...
|
MTH 2300
|
Discrete Mathematics
|
This course covers fundamental mathematics relating to computer information system including matrix addition, multiplication, and inversion; Gaussian elimination for both unique and non-unique systems of linear equations; numeration systems; logic, t...
|
MTH 2301
|
Concepts of Discrete Mathematics
|
This course covers various mathematics concepts relating to computer and information systems, including logic, truth tables, and logical arguments; Boolean algebras, Boolean functions, and elementary switching theory; mathematical induction, permutat...
|
MTH 2610
|
Calculus I
|
Topics to be discussed include functions, inequalities, limits, derivatives of functions, applications to geometry and elementary economic analysis, theory of maxima and minima, antiderivatives, integration of functions, applications to geometry, and...
|
MTH 2610H
|
Honors - Calculus I
|
Topics to be discussed include functions, inequalities, limits, derivatives of functions, applications to geometry and elementary economic analysis, theory of maxima and minima, anti-derivatives, integration of functions, applications to geometry, an...
|
MTH 2630
|
Analytic Geometry and Calculus I
|
Topics to be discussed include elements of plane analytic geometry; vectors in the plane and their properties; limits, derivatives, and integrals of functions of one variable; polynomial, rational, trigonometric, exponential, and logarithmic function...
|
MTH 2630H
|
Honors - Analysis Calculus I
|
Topics to be discussed include elements of plane analytic geometry; vectors in the plane and their properties; limits, derivatives, and integrals of functions of one variable; polynomial, rational, trigonometric, exponential, and logarithmic function...
|
MTH 3
|
Preparatory Math III
|
Preparatory Math III
|
MTH 30
|
Intermediate Algebra
|
Intermediate Algebra
|
MTH 3006
|
Elements of Calculus II
|
Topics to be discussed include implicit differentiation, related rates, antiderivatives, definite integrals with applications, fundamental theorem of calculus, properties of trigonometric and inverse trigonometric functions, methods of integration, l...
|
MTH 3007
|
Infinite Series
|
This course concerns infinite series and various commonly used tests to determine their convergence or divergence, as well as power series expansions and Taylor and Maclaurin series representations of common functions. Students passing this course wi...
|
MTH 3010
|
Calculus II
|
Topics to be discussed include transcendental functions, techniques of integration, improper integration, numerical integration, Taylor polynomial, introduction to multivariable functions, Lagrange multipliers, and indefinite and definite multiple in...
|
MTH 3020
|
Calculus III
|
Topics to be discussed include conics, parametric equations, polar coordinates, vectors in the plane and three dimensional space, multivariable calculus; chain rules, implicit functions, change of variables in multiple integrals; limits, continuity,...
|
MTH 3020L
|
Mth 3020 Lecture
|
Mth 3020 Lecture
|
MTH 3030
|
Elements of Calculus III
|
Topics to be discussed include elements of solid geometry, level curves and surfaces, vectors in space and their properties, differential calculus of functions of several variables, infinite sequences and series, convergence tests, Taylor's formula w...
|
MTH 3035
|
Vector Calculus
|
This class concerns vector fields, line integrals and surface integrals. It focuses on four versions of the Fundamental Theorem of Calculus: the fundamental theorem of calculus for vector fields on curves; Green's theorem; Stokes's theorem; and the D...
|
MTH 3040
|
Actuarial Seminar : R for Actuaries
|
This course is an introduction to R programming with applications in actuarial Science. Although many applications may be related to topics in probability, interest theory, insurance and risk modeling, and mathematical finance, no prior knowledge of...
|
MTH 3050
|
Calculus III and Vector Calculus
|
In this course, the primary goal is to study the geometry of change in two and three dimensional space. In particular, we use vectors to describe curves and surfaces in space mathematically, and to study the derivatives (rates of change) and integral...
|
MTH 3100
|
Selective Topics in Finite Mathematics
|
This course introduces the fundamental and unifying concepts of discrete mathematics. Topics covered divide into three categories: (1) fundamental concepts of mathematics: definitions, proofs, sets, functions, elementary number theory; (2) discrete s...
|
MTH 3102
|
Chaotic Dynamical Systems
|
Chaos arises in mathematics when arbitrarily small changes in initial data can lead to immense changes in results over a fixed time interval. This course studies these phenomena both in the abstract and by experimentally using the computer algebra sy...
|
MTH 3120
|
Elementary Probability
|
This course will introduce the student to the basic elements of discrete probability including: sample spaces, rules of probability, independence, conditional probability, Bayes' Theorem, discrete multivariate distribution, covariance, correlation an...
|
MTH 3150
|
Discrete Math: An Invitation to Computer Science
|
Topics discussed in this course include propositional logic; sets and functions; elements of number theory, combinatorics, and probability; and graph theory. Instruction in proof writing will be provided. MTH 3150 is not open to students who have com...
|
MTH 3300
|
Algorithms, Computers, and Programming I
|
The objective of this course is to provide the basic knowledge and experience necessary to use computers effectively by developing an understanding of the interplay between the computer, its associated languages, and the structured development of alg...
|
MTH 3400
|
Math For Busin Anals
|
Math For Busin Anals
|
MTH 3410
|
Math Of Finance
|
Math Of Finance
|
MTH 3901
|
Actuarial Science Internship
|
This course consists of a coordinated and supervised internship in actuarial science. Students enhance their educational experience by working as actuarial science interns. Students keep a journal describing each day's activities, duties, and respons...
|
MTH 3902
|
Actuarial Science Internship
|
This course consists of a coordinated and supervised internship in actuarial science. Students enhance their educational experience by working as actuarial science interns. Students keep a journal describing each day's activities, duties, and respons...
|
MTH 3903
|
Actuarial Science Internship
|
This course consists of a coordinated and supervised internship in actuarial science. Students enhance their educational experience by working as actuarial science interns. Students keep a journal describing each day's activities, duties, and respons...
|
MTH 3904
|
Actuarial Science Internship
|
This course consists of a coordinated and supervised internship in actuarial science. Students enhance their educational experience by working as actuarial science interns. Students keep a journal describing each day's activities, duties, and respons...
|
MTH 3905
|
Mathematics Internship
|
This course consists of a coordinated and supervised internship in mathematics. Students enhance their educational experience by working as mathematics interns. Students keep a journal describing each day's activities, duties, and responsibilities wi...
|
MTH 3906
|
Mathematics Internship
|
This course consists of a coordinated and supervised internship in mathematics. Students enhance their educational experience by working as mathematics interns. Students keep a journal describing each day's activities, duties, and responsibilities wi...
|
MTH 3907
|
Mathematics Internship
|
This course consists of a coordinated and supervised internship in mathematics. Students enhance their educational experience by working as mathematics interns. Students keep a journal describing each day's activities, duties, and responsibilities wi...
|
MTH 3908
|
Mathematics Internship
|
This course consists of a coordinated and supervised internship in mathematics. Students enhance their educational experience by working as mathematics interns. Students keep a journal describing each day's activities, duties, and responsibilities wi...
|
MTH 3909
|
Financial Mathematics Internship I
|
This course consists of a coordinated and supervised internship in financialmathematics. Students enhance their educational experiences by working asfinancial mathematics interns. Students keep journals describing each day’sactivities, duties, and re...
|
MTH 3910
|
Financial Mathematics Internship II
|
This course consists of a coordinated and supervised internship in financialmathematics. Students enhance their educational experiences by working asfinancial mathematics interns. Students keep journals describing each day’sactivities, duties, and re...
|
MTH 3911
|
Financial Mathematics Internship III
|
This course consists of a coordinated and supervised internship in financialmathematics. Students enhance their educational experiences by working asfinancial mathematics interns. Students keep journals describing each day’sactivities, duties, and re...
|
MTH 3912
|
Financial Mathematics Internship IV
|
This course consists of a coordinated and supervised internship in financialmathematics. Students enhance their educational experiences by working asfinancial mathematics interns. Students keep journals describing each day’sactivities, duties, and re...
|
MTH 4
|
Preparatory Math IV
|
Preparatory Math IV
|
MTH 4000
|
Bridge to Higher Mathematics
|
This class introduces the fundamental and unifying concepts of the contemporary mathematics. Topics covered divide into four categories: 1) fundamental concepts of mathematics: definitions, proofs, sets, functions, elementary number theory; 2) discre...
|
MTH 4005
|
Problem-Solving Seminar
|
This course introduces the fundamental techniques for problem solving in mathematical and for creating/writing sound mathematical proofs. Topics covered include a variety of methods from disciplines such as number theory, classical inequalities, real...
|
MTH 4009
|
Proof Writing for Mathematical Analysis
|
This course is designed to prepare students who will be taking mathematics 4010 to understand, and compose for themselves, the kind of demanding proofs that occur in advanced calculus. This course may not be used in the mathematics minor.MTH 4009 is...
|
MTH 4010
|
Mathematical Analysis I
|
This course presents a rigorous treatment of the limit, continuity, differentiability, and integrability of a function of one variable. Other topics include real numbers and the axiom of continuity; convergence of a sequence of real numbers; elements...
|
MTH 4020
|
Advanced Calculus II
|
This course presents rigorous treatment of the limit, continuity, differentiability, and differential of a function of two or more variables. Other topics include integration; multiple, improper, line, and surface integrals; and implicit function the...
|
MTH 4030
|
Topology
|
This class introduces the fundamental and unifying concepts of one of the pillars of contemporary mathematics, point-set, or general, topology. Topics covered are metric spaces, general topological spaces, connectedness, and compactness. The relation...
|
MTH 4100
|
Linear Algebra and Matrix Methods
|
Topics to be included are Gauss-Jordan reduction, linear independence, linear vector spaces, linear transformations, similarity of matrices, diagonalizable matrices, characteristic values and vectors, and symmetric matrices and quadratic forms.
|
MTH 4110
|
Ordinary Differential Equations
|
Topics to be included are existence and uniqueness of solutions, first order equations, linear equations, series solutions of second order linear equations, Laplace transforms linear systems, boundary value problems, and numerical methods.
|
MTH 4115
|
Numerical Methods for Differential Equations in Finance
|
This course covers exact solutions of ordinary and partial differential equations, as well as numerical solutions to these differential equations using finite difference methods. The financial applications include the Black-Scholes model and correspo...
|
MTH 4119
|
Multivariate Probability Distributions
|
This class will examine the properties of bivariate and multivariate continuousprobability distributions and their applications. Not open to students who havecompleted mathematics 4120.
|
MTH 4120
|
Introduction to Probability
|
This course is an introduction to the theory of probability. Topics to be included are basic theorems of probability, permutations and combinations, binomial and multinomial theorems, random variables with densities, sequences of independent identica...
|
MTH 4120H
|
Honors- Introduction to Probability
|
This course is an introduction to the theory of probability. Topics to be included are basic theorems of probability, permutations and combinations, binomial and multinomial theorems, random variables with densities, sequences of independent identica...
|
MTH 4125
|
Introduction to Stochastic Processes
|
This course is designed to introduce the undergraduate to the fundamental ideas of stochastic (or random) processes. Such processes are used in the study of mathematical models where there are elements of uncertainty and hence probabilistic quantitie...
|
MTH 4130
|
Mathematics of Data Analysis
|
This course is an introduction to statistics with a focus on data analysis. Topics covered during the first half of the course include confidence intervals, hypothesis testing, and linear regression. The second half of the course concerns time-series...
|
MTH 4135
|
Computational Methods in Probability
|
This course is an introduction to the numerical techniques of Monte Carlo simulation and recursion in applications where randomness occurs. Topics include: random number generators; generating discrete and continuous random variables; simulating syst...
|
MTH 4140
|
Graph Theory
|
This course covers basic topics in graph theory, including connectivity, Eulerian graphs, planarity, genus, Hamitonicity, isomorphism, chromatic number, Ramsey numbers, and enumeration. These are followed by an introduction to networks with graph alg...
|
MTH 4145
|
Mathematical Modeling
|
Students will define and offer solutions to real-world problems and give both a written and oral presentation of their solutions. Examples of problems to be studied are scheduling, portfolio investment, and reliability of machinery. Some of the follo...
|
MTH 4150
|
Combinatorics
|
This course covers basic topics and techniques of combinatorics, including mathematical induction, the pigeonhole principle, permutations, combinations, distributions, binomial coefficients, generating functions, partitions, recurrence relations, inc...
|
MTH 4200
|
Theory of Numbers
|
Topics to be included are divisibility, primes, unique factorization, arithmetic functions, perfect numbers, linear and quadratic congruencies, primitive roots, quadratic reciprocity, and Diophantine equations.
|
MTH 4210
|
Elements of Modern Algebra
|
Topics to be included are rings, groups, integral domains, fields, vector spaces, axiomatic development of rational and complex numbers, equivalence relations, isomorphism's, mathematical induction, divisibility, congruence, and fundamental theorem o...
|
MTH 4215
|
Finite Fields, Algebraic Curves, and Applications
|
This course introduces the student to the algebraic theory of finite fields and their applications in number theory, cryptography, and error correcting codes. These are the building blocks of all modern uses of algebra in the digital world for commun...
|
MTH 4220
|
Introduction to Modern Geometry
|
Logical deficiencies in Euclidean geometry; rigorous axiomatic development of geometry; betweeness; distance; boundedness of distance; Euclidean and spherical geometry and their models; seperation theorems; convexity; Pasch's postulate; geometric ine...
|
MTH 4230
|
History of Mathematics
|
This course explores the evolution of mathematical ideas in the ancient period (approximately 2000 BCE to 1200 CE), and conclude with a study of the re-emergence of Mathematics in Europe between the fourteenth and sixteenth centuries, the origins of...
|
MTH 4240
|
Differential Geometry
|
This course is an introduction to the basic concepts in differential geometry. The topics to be discussed are the local and the global geometric properties of curves and of surfaces in three-dimensional Euclidean space: parametric representation of...
|
MTH 4300
|
Algorithms, Computers and Programming II
|
This course is intended to be a sequel to MTH 3300 and focuses on the notion of classes, along with the concepts of pointers, inheritance, and polymorphism. The implementation of classes in a practical setting, such as scientific computing, quantitat...
|
MTH 4310
|
Methods of Numerical Analysis
|
This course is concerned primarily with techniques for solving mathematical problems on digital computers. Topics to be included are: solutions of non-linear equations and systems; direct and indirect methods of solving linear systems; numerical diff...
|
MTH 4315
|
Introduction to Mathematical Logic
|
This course will introduce the student to the basic notions of mathematical logic. Topics to be covered include the syntax and semantics of propositional and first order logic, the completeness and compactness theorems, computability theory (includin...
|
MTH 4320
|
Fundamental Algorithms
|
In this course, one learns how to design efficient algorithms and becomes familiar with common real-world algorithms. Examples include algorithms for data compression, error correcting codes, common graph algorithms such as shortest paths and network...
|
MTH 4330
|
Introduction to Machine Learning
|
This course provides an introduction to Machine Learning, where students will learn both theory and application of this subject. Students will get exposure to a broad range of machine learning methods and hands-on practice with real data. Topics incl...
|
MTH 4340
|
Switching Theory
|
This course covers logical design and switching circuit theory. Topics to be included are Boolean algebra, Boolean functions, Karnaugh maps, Quine-McCluskey tabulation method, gate implementation, sequential logic, synchronous and asynchronous sequen...
|
MTH 4395
|
Special Topics in Computer Science
|
Advanced study of selected topics in computer science, such as algebraic coding theory, computational number theory, simulation design, VLSI circuits and supercomputers, and other topics not treated in regular courses.
|
MTH 4400
|
Finite Differences
|
This course develops the theory of finite differences methods. Topics to be included are interpolations with equal and unequal intervals, Sheppard's Rules, interpolation of functions of several variables, central difference formulas, summation, appro...
|
MTH 4410
|
Theory of Interest
|
This course provides a mathematical understanding of fundamental concepts offinancial mathematics and their applications in calculating values for various streams of cash flows. Topics to be discussed include measurements of various interest rates, e...
|
MTH 4420
|
Actuarial Mathematics I
|
This course applies probability and the theory of interest to the prices of insurance products. Topics to be covered include survival distributions and life tables, life insurance (whole, term, endowment, deferred, and variable benefit insurance), li...
|
MTH 4421
|
Actuarial Mathematics II
|
This course is a continuation of MTH 4420. Topics to be covered include multiple state and multiple decrement models, joint life and last survivor models, valuation theory for pension plans, non-diversifiable risk, profit testing for insurance portfo...
|
MTH 4430
|
Mathematics of Inferential Statistics
|
This class provides a calculus-based introduction to inferential statistics. Basic concepts of random sampling and statistics including confidence intervals, bias, the method of moments, percentile matching, and sampling distribution estimators will...
|
MTH 4451
|
Short-Term Insurance Mathematics
|
This course builds upon probability theory to introduce a variety of frequency and severity models, the steps involved in the modeling process, and procedures for carrying out these steps in solving business problems. The major topics to be studied a...
|
MTH 4452
|
Short-Term Insurance Mathematics II
|
This course is a continuation of MTH 4451. The major topics to be covered includecredibility procedures for estimating losses, and construction, estimation, andselection of parametric models. This course is intended for actuarial science studentsand...
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MTH 4500
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Introductory Financial Mathematics
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This course is an introduction to mathematical methods used in finance and their applications. No prior knowledge of finance is assumed. Basic financial instruments such as forward and futures contracts, options, and bonds are introduced. The course...
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MTH 4600
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Data Analysis and Simulation for Financial Engineers
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This "capstone" course for financial engineering majors brings to life their sophisticated mathematical background (in probability, stochastic processes, statistics, and financial mathematics) by connecting it to hands-on analysis of data and simulat...
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MTH 5000
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Independent Study Math I
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See Department for Description.
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MTH 5000H
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Hon - Independent Study Math I
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See Department for Description.
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MTH 5001
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Independent Study Math II
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See Department for Description.
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MTH 5001H
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Hon Independent Study MTH II
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See the Department for description.
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MTH 5002
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Independent Study Math III
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See Department for Description.
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MTH 5003
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Independent Study Math IV
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See Department for Description.
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MTH 5004
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Independent Study Math V
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See Department for Description.
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MTH 5010
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Advance Calculus III
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Integration in n-space, implicit and inverse function theorems change of variables in multiple integrals, vector fields, line and surface integrals, theorems of Green, Stokes, and Gauss.
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MTH 5020
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Theory of Functions of a Complex Variable
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This course discusses the basic concepts in the theory of complex variables. The topics to be discussed will include the planar representation of the complex numbers, De Moivre's theorem, limits, Cauchy-Riemann equations, analytic functions, Taylor a...
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MTH 5030
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Theory of Functional of Real Variables
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Lebesgue measure and integration on the real line, differentiation of real functions and the relation with integration, classical Lp spaces.
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MTH 5100
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Partial Differential Equations and Boundary Value Problems
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This course is an introduction to partial differential equations. Topics to be included are first-order equations, classification of second-order equations, the method of separation of variables, and an introduction to Fourier series and transform me...
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MTH 5220
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Probability Theory (Introduction to Probability)
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Basic theorems of probability, permutations and combinations, binomial and multinomial theorems, mathematical expectation, Stirling's theorem, central limit theorem, and standard type probability distributions.
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MTH 5500
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Stochastic Calculus for Finance
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This course is an introduction to stochastic calculus and its applications to modern finance. The core topics developed in the course are the Ito stochastic integral, Ito's formula, and basic stochastic differential equations. The course will provide...
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MTH 6001
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Honors
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See Department for Description.
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MTH 6001H
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Honors - MATH I
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The honors program in English is designed for the outstanding student.Each student conducts research in an area specific to the student's interest and works closely with a faculty advisor. Registration is by permission only from the department chairp...
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MTH 6002
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Honors
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See Department for Description.
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MTH 6002H
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Honors - MATH II
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The honors program in English is designed for the outstanding student.Each student conducts research in an area specific to the student's interest and works closely with a faculty advisor. Registration is by permission only from the department chairp...
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MTH 6003
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Honors
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See Department for Description.
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MTH 70
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Cultural Math
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Cultural Math
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MTH 7000
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Mathematics Elective
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Mathematics Elective
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MTH 7050
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Mathematics Intermediate Elective
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Mathematics Intermediate Elective
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MTH 7100
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Mathematics Adv Elec
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Mathematics Adv Elec
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MTH 7200
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Mathematics 2000 Lvl
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Mathematics 2000 Lvl
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MTH 7350
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Math Gen Ed Req Met
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Math Gen Ed Req Met
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MTH 7450
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Math Gen Ed Req Met
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Math Gen Ed Req Met
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MTH 8
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Computer Pract Lab
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Computer Pract Lab
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MTH 8000
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Math Analysis
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Math Analysis
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MTH 8001
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Calculus for Applications I
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Topics in calculus, including functions, rates of change, limits, differentiation, higher order derivatives, differentials, maxima and minima, related rates, integration, and business application.
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MTH 8005
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Algebra Refresher
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Review of the essentials of elementary and intermediate algebra. The course is organized as a series of workshops that serve as a guide to outside self-instruction. Topics to be discussed include algebraic notation, linear and quadratic equations and...
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MTH 8007
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Mathematics for Business
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Systems of linear equations, vectors, matrices, sets and probability, conditional probability, Markov models, and methods of differential and integral calculus as applied to business and economic theory.
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MTH 8010
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Calculus for Applications II
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Techniques of integration, infinite series, and differential and integral calculus for functions of two or more variables with applications to optimization theory.
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MTH 8065
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Introduction to Finite Math
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Introduction to Finite Math
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MTH 8100
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Introduction to Finite Mathematics
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Introduction to Finite Mathematics
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MTH 8200
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Essential Discrete Mathematics
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Fundamental mathematics topics relating to computer and information systems, including set operations and properties; logic, truth tables, and logical arguments; relations, equivalence classes, and quantifiers; exponential, logarithmic, and recursive...
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MTH 8500
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Introduction to Linear Algebra and Probability for Financial Applications
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This course covers topics in linear algebra and discrete probability that are further needed for the first semester graduate courses in the MS Program in Applied Mathematics for Finance, MTH 9821 and MTH 9831.
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MTH 9
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Math Practice Lab
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Math Practice Lab
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MTH 9700
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Finite Math Business Decision
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Finite Math Business Decision
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MTH 9703
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Matrix Methods for Applications
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Quantitative and qualitative analysis of systems of linear algebraic equations: Gauss-Jordan reduction, matrix theory, and linear vector spaces; diagonalization of an n by n matrix; and similarity, eigenvalues and eigenvectors, spectral theory for sy...
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MTH 9704
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Finite Mathematics for Applications II
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Further topics in finite mathematics
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MTH 9705
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Intermediate Calculus for Applications
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Ordinary differential equations, Laplace transforms, elements of calculus of variations, and difference equations.
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MTH 9706
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Theory of Functions of a Real Variable
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Least upper bound axiom for reals, epsilon-delta proofs, continuity, differentiability, integration theory, infinite sequences and series, and functions of several variables.
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MTH 9796
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Statistical Natural Language Processing
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This course provides a survey of the challenges, concepts and methodologies employed in Natural Language Processing (NLP). The subject brings together the modeling of the underlying structure of human language with the flexibility and power of neural...
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MTH 9813
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Scientific Computing
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Wall Street firms heavily use C++. This course presents the basics of scientific computing in C++. It is coordinated with Numerical Linear Algebra and Real Analysis and Probability, providing many opportunities for the programming of computational ap...
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MTH 9814
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Financial Markets and Securities
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This course presents some of the fundamental derivative securities traded in the financial markets: options, forwards, futures, and swaps. Pricing principles such as arbitrage pricing, risk-neutral pricing, the Black-Scholes formula, and binomial tre...
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MTH 9815
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Software Engineering in Finance
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This course involves the careful examination of software development techniques for solving problems in finance. Emphasis is placed on productivity and the development of software engineering skills including automation, source control, and API desig...
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MTH 9815
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Software Engineering in Finance
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This course involves the careful examination of software development techniques for solving problems in finance. Emphasis is placed on productivity and the development of software engineering skills including automation, source control, and API desig...
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MTH 9816
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Fundamentals of Trading
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This course familiarizes students with how financial markets operate and the roles of market participants. Students are introduced to various securities and derivatives, order types, and investment objectives. Emphasis is placed on building financial...
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MTH 9821
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Numerical Linear Algebra
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Finite difference methods are discussed and implemented for valuating derivative securities such as plain vanilla European and American options, Bermudan options and barrier options. Numerical linear algebra methods used for finite difference solvers...
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MTH 9831
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Probability and Stochastic Processes for Finance I
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This course covers essentials of measure theory and real analysis, and their use to develop notions leading to stochastic calculus, Martingales, Brownian motion, and stopping times are covered. First examples of stochastic processes and their uses i...
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MTH 9841
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Statistics for Finance
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This course will cover probability and statistics from a Bayesian perspective, with applications to finance. Topics will include joint marginal and conditional probability; discrete and continuous random variables; Bayesian inferences for means and p...
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MTH 9842
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Optimization Techniques in Finance
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Optimization techniques play a key role in the industry both on the buy and sell sides. This course will cover linear and quadratic optimization as well as other nonlinear techniques and their applications to finance.
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MTH 9845
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Market Cred Risk Mgt
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Market Cred Risk Mgt
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MTH 9845
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Market and Credit Risk Management
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This course covers qualitative and quantitative aspects of the financial risk associated to managing financial portfolios and to credit default. Topics include: market risk, Var and stress testing, model risk, spot and forward risk, credit default ri...
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MTH 9848
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Elements of Structured Finance
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The course objective is to allow students to analyze the basic credit quality of securitizations backed by commodity asset types (mortgages, auto loans, credit cards, CDOs). Mastery of the material in this course will let the student model and evalua...
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MTH 9849
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Deal Theory and Structured Analysis
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After taking this class, successful candidates will be able to model a transaction a priori based on the prospectus and issuer databases using the techniques described in class. In addition, the student will be in a position to accurately value asset...
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MTH 9852
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Numerical Methods for PDEs in Finance
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This course covers Monte Carlo methods, their convergence properties and variance reduction techniques, tree pricers and Greeks estimators, implied binomial trees and implied volatility trees, numerical integration techniques, and finite difference m...
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MTH 9855
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Asset Allocation and Portfolio Management
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The course introduces the quantitative techniques and models commonly used in the asset management industry. The emphasis is on practical aspects of modeling, and specific techniques for portfolio construction and risk management. Topics include clas...
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MTH 9862
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Probability and Stochastic Processes for Finance II
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This course covers the basic stochastic processes and probabilistic techniques used in finance, for example: random walks, Markov chains, martingales, Brownian Motion, stochastic integration, and Ito's formula. The Black-Scoles formula is presented f...
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MTH 9863
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Volatility Filtering and Estimation
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This course covers various filtering techniques such as Kalman filter, particle filtering, and chaos based filtering. Applications include estimation of stochastic volatility parameters from timeseries of underlying asset prices and the use of stocha...
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MTH 9864
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Model Review for Quantitative Models in Finance
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This course covers the technical aspects of generating a quantitative model, back-testing it, and implementing it in production. Students will learn about the motivation and practical aspects of the model validation process, and its importance in the...
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MTH 9865
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Commodities and Futures Trading
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This course covers trading and hedging in futures markets. Students will implement trading strategies using futures and options on futures, and analyze their risk, including counterparty risk, and performance based on trading costs and frequency of t...
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MTH 9866
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Modeling and Market Making in Foreign Exchange
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The course introduces mathematical models used to price and risk managefinancial derivatives in foreign exchange markets. The emphasis is onpractical aspects of modeling and the electronic market making in spotmarkets, forward markets, vanilla option...
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MTH 9867
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Time Series Analysis and Algorithmic Trading
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This course covers univariate and multivariate time series analysis, conditionalheteroscedastic models, principal component analysis, and factor models. Students will learn about implementing algorithmic trading strategies and evaluating their perfor...
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MTH 9868
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Advanced Risk and Portfolio Management
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The course provides in-depth understanding of quantitative modeling for the buy-side from the foundations to the newest developments. The most advanced statistical and optimization techniques are thoroughly explained in theory and visualized in pract...
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MTH 9871
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Advanced Computational Methods in Finance
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This course covers the various specialized mathematical numerical methods that are applied to security valuation and risk management. The mathematical principles of arbitrage-free valuation are applied to binomial and other lattice methods, term stru...
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MTH 9873
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Interest Rate Models and Interest Rate Derivatives
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This course covers aspects of interest rate modeling and the valuation of mixed-income securities. Interest rate models such as Ho-Lee, Hull-White, Black-Derman-Toy, and Black-Karasinski will be presented. Topics include: implied volatility and mean...
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MTH 9875
|
The Volatility Surface
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This course explores the volatility surface. The implications of various modelingassumptions such as stochastic volatility are explored as are the consequences for modeling of various empirical observations. The course covers the most recent technica...
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MTH 9876
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Credit Risk Models
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The course introduces the quantitative credit risk models commonly used in the financial industry, and their applications to the pricing and hedging of widely traded credit derivative instruments. The emphasis is on practical aspects of modeling. Fur...
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MTH 9877
|
Interest Rate and Credit Models
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The course introduces mathematical models used to price and risk managefinancial derivatives in the interest rate and credit derivatives markets. Thecourse offers a thorough introduction to all major quantitative methodologiescurrently used in the fi...
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MTH 9878
|
Interest Rate Models
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The course introduces the quantitative interest rate models commonly used in the financial industry and their applications to the pricing and hedging of fixed income derivatives. The emphasis is on practical aspects of modeling, and the significance...
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MTH 9879
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Market Microstructure Models
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This course explores the modeling of market microstructure from the perspective of a trader; that is, to understand the time series of trades, quotes, and cancellations associated with limit order books. Traditional information-based and inventory-ba...
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MTH 9881
|
Current Topics in Mathematical Finance
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Students are assigned current journal articles in financial mathematics for discussion in a seminar format.
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MTH 9882
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Fixed Income Risk Management
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This course covers fixed income products with emphasis on mortgage products. Students will learn to estimate the risk associated with fixed income products portfolios by using quantitative models. Special emphasis will be placed on explaining the pit...
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MTH 9883
|
Deal Theory & Structuring
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This course provides hands-on experience with the valuation of structured securities using covariance matrix analysis and Monte Carlo techniques to analyze the probability of credit losses. A sample deal is synthesized by building a cash flow engine...
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MTH 9884
|
Machine Learning in Financial Engineering
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This course covers machine learning prediction techniques in the context of efficient markets. Students will test these techniques in the context of various trading strategies, and will investigate correlations with maker directional movements.
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MTH 9885
|
Futures and Commodities Trading
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Futures and Commodities Trading
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MTH 9886
|
Emerging Markets and Inflation Modeling
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The course introduces mathematical models used to price and risk manage financial derivatives in Inflation and Emerging Markets. The emphasis is on practical aspects of modeling in special conditions and conventions across Emerging Markets. Modeling...
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MTH 9887
|
Blockchain Technologies in Finance
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This course covers both the technical and financial aspects of the blockchain. The implementation (using code and scripting languages) of various types of financial systems and transactions that can be built on top of blockchain technologies is also...
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MTH 9891
|
Introduction to Applied Financial Econometrics
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This course covers statistical and econometrics methods with applications to finance. Topics include regression models (OLS, ARMA), panel data analysis, GARCH models, PCA, and stationarity/co-integration. These methods will be implemented in Matlab o...
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MTH 9893
|
Time Series Analysis
|
This course covers univariate and multivariate time series analysis, conditional heteroscedastic models, principal component analysis, and factor models. Students will learn about implementing univariate and multivariate volatility models. Note: Stud...
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MTH 9894
|
Algorithmic Trading
|
This course covers implementing algorithmic trading strategies and evaluating their performance. The risk management of algorithmic trading strategies, as well as their execution and monitoring are also covered. Note: Students cannot receive credit f...
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MTH 9895
|
Big Data in Finance
|
This course focuses on developing tools in C++ to work with financial big data. Topics include efficient file formats for big data, parallel data structure and algorithm, and data cleaning, pattern recognition using C++/GPU. The objective of the cour...
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MTH 9896
|
Behavioral Finance
|
This course covers different areas of behavioral finance such as emotional finance, experimental finance, as well as psychological concepts and behavioral biases. Students will use heuristic rules to analyze movements of the markets in extreme market...
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MTH 9897
|
Systematic Trading
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This course covers the implementation of modern execution strategies and high frequency trading strategies and evaluating their performance. The risk management of these strategies, as well as their monitoring and associated portfolio construction ar...
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MTH 9898
|
Data Science in Finance I: Big Data in Finance
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This course focuses on developing tools in C++ to work with financial big data. Topics include efficient file formats for big data, parallel data structure and algorithm, and data cleaning, pattern recognition using C++/GPU. The objective of the cour...
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MTH 9899
|
Data Science in Finance II: Machine Learning
|
This course covers machine learning prediction techniques in the context of efficient markets. Students will test these techniques in the context of various trading strategies and investigate correlations with maker directional movements. (This cours...
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MTH 9900
|
Special Topics in Mathematics
|
This course is designed to expose the advanced student to a variety of mathematical topics that are not covered in the regular curriculum. Topics will vary from year to year.
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MTH 9901
|
Spec Topics Internsh
|
Spec Topics Internsh
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MTH 9902
|
Internship Course
|
Students will register for this course in conjunction with an internship they will conduct in industry which will be relevant to a career in quantitative finance. Upon review of each student's professional work history, the program director may waive...
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MTH 9903
|
Capstone Project and Presentation
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Each student will be required to prepare a case study motivated by a real-world problem in finance whose solution requires the application of mathematical techniques presented in this program. The student's analysis and conclusions will be presented...
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PMMTH 10
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Math Tutorial Enrich
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Math Tutorial Enrich
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TUTM 120
|
Tutorial In Algebra
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Tutorial In Algebra
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