GRADUATE MATHEMATICS COURSES

MATH 211. Abstract Algebra

Course Description: Binary operations, algebraic systems such as semi groups, rings integral domains, field, extensions

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 111

Semester/s Offered: First Semester

 

MATH 213. Theory of Matrices

Course Description: Operations on matrices; canonical forms, determinants; characteristic equations; eigenvalues

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 120

Semester/s Offered: First Semester

 

MATH 222. Finite Geometries

Course Description: The finite plane, projective plane, affine plane, hyperbolic plane; Galois geometries; combinatorial applications of finite geometries; finite inverse geometry and block design

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 211

Semester/s Offered: Second Semester

 

MATH 225. Topology

Course Description: Topological spaces; bases and subbases; continuity; metric spaces; separation axioms; compactness; product spaces; connectedness

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 101 or its equivalent

Semester/s Offered: Second Semester

 

MATH 230. Real Analysis 

Course Description: The real number system; Lebesque measures; Riemann and Lebesque integrals; differentiation and integration

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 155

Semester/s Offered: First Semester

 

MATH 231. Functions of a Complex Variable

Course Description: Complex differentiation and integration; analytic continuation; residue theorem; conformal mapping; and some special functions

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 155

Semester/s Offered: Second Semester

 

AMAT 266. Deterministic Mathematical Decision Models

Course Description: Linear models; inventory modes; integer programming and combinatorial models; elementary dynamic programming models; introduction to nonlinear programming

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 160 or COI

Semester/s Offered: First Semester

 

AMAT 267. Probabilistic Mathematical Decision Models

Course Description: Basic concepts and application of probabilistic mathematical decision models such as queuing, inventory, dynamic programming and simulation models

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 160 or COI

Semester/s Offered: Second Semester

 

MATH 215. Coding Theory and Cryptography

Course Description: Concepts and mathematical theory of error-correcting codes, encryption and decryption schemes

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 111

Semester/s Offered: First Semester

 

MATH 217. Algebraic Combinatorics 

Course Description: Discrete structures from an algebraic perspective

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 211

Semester/s Offered: Second Semester

 

MATH 220. Algebraic Geometry

Course Description: Concepts and theorems of algebraic geometry

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 211

Semester/s Offered: First Semester

 

MATH 235. Functional Analysis

Course Description: Concepts, principles, methods and applications of functional analysis; normed and Banach spaces; Hilbert space theory

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 213

Semester/s Offered: Second Semester

 

MATH 291. Special Topics

Course Description: May be taken twice provided that the total number of units to be credited to the student’s program will not exceed 4 units

Course Credit: 1-3 units

Prerequisite: COI

Semester/s Offered:

 

MATH 299. Graduate Seminar

Course Description: May be taken twice

Course Credit: 1 unit

Prerequisite: COI

Semester/s Offered: First Semester, Second Semester

 

MATH 300. Master’s Thesis

Course Description: 

Course Credit: 6 units

Prerequisite: 

Semester/s Offered: First Semester, Second Semester, Midyear

Last Updated on Monday, 16 October 2017 14:05

RGEP COURSES

MATH 1 (MST). Quantitative Reasoning

Course Description: Logical, quantitative, and mathematical thinking

Course Credit: 3 units (3 hrs (class))

Prerequisite: None

Semester/s Offered: First Semester, Second Semester

 

MATH 2 (MST). Problem Solving

Course Description: Approaches, techniques and strategies of problem solving using discrete mathematics

Course Credit: 3 units (3 hrs (class))

Prerequisite: None

Semester/s Offered: First Semester, Second Semester

Last Updated on Monday, 16 October 2017 14:00

APPLIED MATHEMATICS COURSES

AMAT 19. Finite Mathematics

Course Description: An introduction to the concepts of logic, probability, mathematical programming, theory of games and graph

Course Credit: 3 units (3 hrs (class))

Prerequisite: None

Semester/s Offered: First Semester

 

AMAT 110. Mathematical Modeling

Course Description: Principles, methods and applications of mathematical modeling.

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 37 and STAT I

Semester/s Offered: Second Semester

 

AMAT 112. Introduction to Mathematical Optimization

Course Description: A survey of major techniques in the mathematical modeling of optimization problems

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 28 or MATH 38 and AMAT 110

Semester/s Offered: First Semester

 

AMAT 115. Introduction to Mathematical Decision Theory

Course Description: Fundamental concepts of quantitative decision making

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 110 and MATH 181 or Stat 145

Semester/s Offered: Second Semester

 

AMAT 150. Computer Programming

Course Description: Basic computer programming concepts; program constructs and techniques in algorithm development; syntax of programming language

Course Credit: 3 units (5 hrs (2 class, 3 lab))

Prerequisite: COI

Semester/s Offered: First Semester, Second Semester, Midyear

 

AMAT 160. Linear Programming

Course Description: Formulation, computation, solutions and applications of linear programming

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 120 and AMAT 110 or COI

Semester/s Offered: First Semester

 

AMAT 161. Nonlinear Programming

Course Description: Formulation, computation, solutions and applications of nonlinear programming

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 120 and AMAT 110 or COI

Semester/s Offered: Second Semester

 

AMAT 162. Integer and Dynamic Programming

Course Description: Survey of integer and dynamic programming techniques

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 160

Semester/s Offered: Second Semester

 

AMAT 167. Mathematical Models in Operations Research I

Course Description: Survey and analysis of mathematical models used in inventories, queues, maintenance of systems, and project management

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 110

Semester/s Offered: First Semester

 

AMAT 168. Mathematical Models in Operations Research II 

Course Description: Survey and analysis of mathematical models used in transportation planning, facility layout and location, finance and investment, and performance evaluation of systems

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 160

Semester/s Offered: Second Semester

 

AMAT 170. Theory of Interest

Course Description: Principles, methods and applications of the theory of interest

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 27 or MATH 37

Semester/s Offered: Second Semester

 

AMAT 171. Life Insurance Mathematics I 

Course Description: Mortality, life annuities, life insurance policies and net premiums, methods of valuation, modified and net level reserves, non-forfeiture options, and gross premiums

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 170 and STAT 1

Semester/s Offered: First Semester

 

AMAT 172. Life Insurance Mathematics II

Course Description: Mathematical theory of contingencies of single and multiple lines

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 171

Semester/s Offered: Second Semester

 

AMAT 174. Measurement of Mortality

Course Description: Theory and methods of measuring mortality

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 172

Semester/s Offered: First Semester

 

AMAT 176. Actuarial Science

Course Description: Investment of life insurance funds, selection of risks and reinsurance, valuation of liabilities, non-forfeiture values, asset share studies, process of premium formulation

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 172

Semester/s Offered: First Semester

 

AMAT 177. Introduction to Mathematical Finance

Course Description: Mathematical theory underlying the pricing and analysis of financial derivatives

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 170 and MATH 181

Semester/s Offered: Second Semester

 

AMAT 178. Stochastic Calculus for Finance

Course Description: Ito processes, their construction, properties and application to the pricing of financial derivatives

Course Credit: 3 units (3 hrs (class))

Prerequisite: AMAT 177 and MATH 182

Semester/s Offered: First Semester

 

AMAT 180. Introduction to Biomathematics

Course Description: Discrete and continuous mathematical models of biological processes

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 28 or MATH 38 and MATH 120 or COI 

Semester/s Offered: Second Semester

 

AMAT 190. Special Problems

Course Description: Maybe taken twice provided the total number of units to be credited to the student’s program will not exceed 4 units

Course Credit: 1-3 units 

Prerequisite: COI

Semester/s Offered: First Semester, Second Semester, Midyear

 

AMAT 191a. Special Topics in Operations Research

Course Description: May be taken twice provided that total number of units to be credited to the student’s program will not exceed 4 units

Course Credit: 1-3 units (3 hrs (class))

Prerequisite: COI

Semester/s Offered: Second Semester

 

AMAT 191b. Special Topics in Actuarial Science

Course Description: May be taken twice provided that total number of units to be credited to the student’s program will not exceed 4 units

Course Credit: 1-3 units (3 hrs (class))

Prerequisite: COI

Semester/s Offered: Second Semester

 

AMAT 198. Practicum

Course Credit: 3 units (3 hrs (class))

Prerequisite: COI

Semester/s Offered: Midyear

 

AMAT 199. Undergraduate Seminar

Course Description: May be taken twice

Course Credit: 1 units (1 hr (class))

Prerequisite: COI

Semester/s Offered: First Semester, Second Semester

Last Updated on Monday, 16 October 2017 13:49

MATHEMATICS AND SCIENCE TEACHING COURSES

MST 40 (or DEVC 40). Fundamentals of Educational Communication and Technology

Course Description: Theories, principles and concepts of educational communication and technology; practice in planning and designing of media-based learning systems

Course Credit: 3 units (3 hrs (lecture/recitation))

Prerequisite: DEVC 11 or COI

Semester/s Offered: First Semester, Second Semester

 

MST 123. The Teaching of Mathematics and Science

Course Description: Principles, trends and method of teaching mathematics and science

Course Credit: 3 units (5 hrs (2 class, 3 lab))

Prerequisite: MST 40/DEVC 40 and EDUC 122

Semester/s Offered: Second Semester

 

MST 190. Special Problems

Course Description: Theories, principles and concepts of educational communication and technology; practice in planning and designing of media-based learning systems

Course Credit: 3 units

Prerequisite: COI

Semester/s Offered: First Semester, Second Semester

 

MST 199. Undergraduate Seminar

Course Description: 

Course Credit: 1 unit (1 hr (class))

Prerequisite: COI

Semester/s Offered: First Semester, Second Semester

 

MST 200a. Student Teaching I

Course Description: (on campus)

Course Credit: 3 units

Prerequisite: MST 102

Semester/s Offered: First Semester, Second Semester

 

MST 200b. Student Teaching II

Course Description: (off campus)

Course Credit: 3 units

Prerequisite: MST 200a

Semester/s Offered: First Semester, Second Semester

Last Updated on Monday, 16 October 2017 13:59

MATHEMATICS COURSES

 MATH 11. College Algebra

Course Description: Sets, real number system; radicals and rational exponents; linear equations and inequalities; quadratics; systems of equations; functions

Course Credit: 3 units (3 hrs (class))

Prerequisite: None

Semester/s Offered: First Semester, Second Semester, Midyear

 

MATH 14. Plane Trigonometry

Course Description: Functions and relations; logarithms and applications; circular and trigonometric functions and their inverses; solutions of right and oblique triangles

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 11

Semester/s Offered: First Semester, Second Semester, Midyear

 

MATH 17. Algebra and Trigonometry

Course Description: Sets and numbers; the algebra of numbers as a logical system; inequalities; absolute values and coordinate systems, functions and graphs; circular, linear, polynomial and quadratic functions; exponential and logarithmic functions; applications of the circular functions, angles

Course Credit: 5 units (5 hrs (class))

Prerequisite: None

Semester/s Offered: First Semester, Second Semester

 

MATH 18. College Geometry

Course Description: Axioms and propositions of plane, solid and spherical geometry

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 14 or MATH 17

Semester/s Offered: First Semester, Second Semester

 

MATH 20. The Landscape of Mathematics

Course Description: Fundamental concepts and theorems of mathematics

Course Credit: 3 units (3 hrs (class))

Prerequisite: None

Semester/s Offered: First Semester

 

MATH 26. Analytic Geometry and Calculus I

Course Description: Straight lines, functions and graphs; limits and continuity; concepts of derivatives; derivatives of algebraic functions; differential applications of curve sketching; related rates; maxima and minima problems; equations of the second degree; indefinite integral and its applications; area under the curve; definite integral

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 14 or MATH 17

Semester/s Offered: First Semester, Second Semester, Midyear

 

MATH 27. Analytic Geometry and Calculus II 

Course Description: Differentiation and integration of transcendental functions. Indeterminate forms; integration formulas. Integration procedures. Application of integration. Polar coordinate system

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 26

Semester/s Offered: First Semester, Second Semester, Midyear

 

MATH 28. Analytic Geometry and Calculus III

Course Description: Parametric equations, vectors and solid analytic geometry; partial differentiation; multiple integrals; infinite series

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 27

Semester/s Offered: First Semester, Second Semester, Midyear

 

MATH 36. Mathematical Analysis I

Course Description: The real number system; plane analytic geometry and conic sections, limits and continuity, differentiation and integration of algebraic functions

Course Credit: 5 units (5 hrs (class))

Prerequisite: MATH 14 or MATH 17

Semester/s Offered: First Semester, Second Semester

 

MATH 37. Mathematical Analysis II

Course Description: Derivatives and integrals of transcendental functions; parametric equations; polar coordinates, techniques of integration and applications; vectors in two and three dimensions; loci in space

Course Credit: 5 units (5 hrs (class))

Prerequisite: MATH 36

Semester/s Offered: First Semester, Second Semester

 

MATH 38. Mathematical Analysis III

Course Description: Theories, techniques and applications of partial differentiation and multiple integration, vector differential and integral calculus; elements of infinite series

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 37

Semester/s Offered: First Semester, Second Semester

 

MATH 101. Logic and Set Theory

Course Description: Elements of mathematical logic and the algebra of propositions; arguments, set operations, functions and relations; algebra of sets; cardinal and ordinal numbers; ordered sets; axiom of  choice and other topics in set theory

Course Credit: 3 units (5 hrs (2 class, 3 lab))

Prerequisite: AMAT 19 or MATH 20 and MATH 26 or MATH 36

Semester/s Offered: First Semester, Second Semester

 

 MATH 103. Elementary Theory of Numbers

Course Description: Divisibility of integers; primes; congruences; quadratic reciprocity; some functions in number theory and diophantine equations

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 101

Semester/s Offered: Second Semester

 

MATH 111. Modern Algebra I

Course Description: Binary operations and groups; subgroups; groups of permutations; cyclic groups; isomorphism, homomorphism; cosets and factor groups

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 101

Semester/s Offered: First Semester

 

MATH 112. Modern Algebra II

Course Description: Rings, fields and integral domains, ideals and quotient rings, polynomial fields, automorphisms, selected topics

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 111

Semester/s Offered: Second Semester

 

 MATH 120. Linear Algebra

Course Description: Solution of system of linear equations by matrices; matrix operations and vector spaces; linear operators and linear transformation; determinants and eigenvalues

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 37 and MATH 101 or COI

Semester/s Offered: First Semester, Second Semester

 

MATH 130. Metric Geometry

Course Description: Foundation and structure of metric geometry as a postulational system of reasoning

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 101

Semester/s Offered: Second Semester

 

MATH 133. Non-Euclidean Geometries

Course Description: Origin and development of non-Euclidean geometries

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 130

Semester/s Offered: First Semester

 

MATH 135. Projective Geometry

Course Description: Synthetic and analytic treatment of projective transformations, duality, conics, polarities and involution; axiomatic projective geometry; extensions of real projective geometry

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 133 or COI

Semester/s Offered: Second Semester

 

MATH 141. Introductory Combinatorics

Course Description: Elementary configurations; enumeration of configurations and investigation of unknown configurations

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 38 and either MATH 101 or CMSC 56 and CMSC 57

Semester/s Offered: First Semester

 

MATH 143. Graph Theory

Course Description: Path problems, directed graphs and colorability and their application

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 101 or CMSC 56 and CMSC 57

Semester/s Offered: First Semester

 

MATH 151. Ordinary Differential Equations

Course Description: Theory methods and applications of ordinary differential equations

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 38 or MATH 28

Semester/s Offered: First Semester

 

MATH 152. Partial Differential Equations

Course Description: Theory, methods and applications of partial differential equations

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 151

Semester/s Offered: Second Semester

 

MATH 155. Advanced Calculus I

Course Description: Geometry of the euclidean n-space; topological concepts; sequences; continuity; limits; convergence

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 38 and MATH 101 or COI

Semester/s Offered: First Semester

 

MATH 156. Advanced Calculus II

Course Description: Transformation; differentiation of composite functions; inverses of functions and transformations; integration-definite integral, improper integral

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 155

Semester/s Offered: Second Semester

 

MATH 160. Vector Analysis

Course Description: The algebra of vectors; differentiation of vectors; the vector operators del and curl; divergence; Frenet-Serret formulas; involutes, envelopes, first and second fundamental forms; geodesics, integration of vectors

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 38 or MATH 28

Semester/s Offered: Second Semester

 

MATH 165. Complex Analysis I 

Course Description: Properties of complex numbers; topological concepts in the complex plane; limits and sequences; analytic and elementary functions; complex differentiation and integration; integral formulas and related theorems

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 38 and MATH 101 or COI

Semester/s Offered: First Semester

 

MATH 166. Complex Analysis II

Course Description: Generalization of the theories and techniques of power series, integration and transformation to complex variables

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 165

Semester/s Offered: Second Semester

 

 MATH 168. Introductory Topology

Course Description: Basic topological concepts, theory and methods

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 38 and MATH 101

Semester/s Offered: Second Semester

  

MATH 170. Finite Differences

Course Description: Calculus of finite differences; difference equations in general; and linear difference equations with constant coefficients and selected topics

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 38

Semester/s Offered: First Semester

 

MATH 174. Numerical Analysis I

Course Description: Theory, analysis and implementation of algorithms in polynomial approximation, numerical differentiation and integration

Course Credit: 3 units (5 hrs (2 class, 3 lab))

Prerequisite: MATH 38 and either AMAT 150 or CMSC 21

Semester/s Offered: First Semester

 

MATH 175. Numerical Analysis II

Course Description: Theory, analysis and implementation of algorithms for solving non-linear equations, linear systems and ordinary differential equations

Course Credit: 3 units (5 hrs (2 class, 3 lab))

Prerequisite: MATH 174

Semester/s Offered: Second Semester

 

MATH 181. Introduction to Probability Theory

Course Description: Elements of combinatorial analysis and introductory probability theory

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 101 and MATH 38 or MATH 28 

Semester/s Offered: First Semester

 

MATH 182. Introduction to Stochastic Processes

Course Description: Theory and applications of Bernoulli trials; infinite sequence of trials; random walk and run problems; branching processes and Markov chains

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 181 or STAT 143

Semester/s Offered: 

 

MATH 190. Special Problems

Course Description: Maybe taken twice provided the total number of units to be credited to the student’s program will not exceed 4 units

Course Credit: 3 units

Prerequisite: COI

Semester/s Offered: First Semester, Second Semester, Midyear

 

MATH 191. Special Topics

Course Description: May be taken twice provided that total number of units to be credited to the student’s program will not exceed 4 units

Course Credit: 3 units (3 hrs (class))

Prerequisite: COI

Semester/s Offered: Second Semester

 

MATH 192. Foundations of Mathematics 

Course Description: Axiomatic methods and theories; symbolic logic calculi; school mathematics reform theses; constructivistics, formalistics and related mathematics; various schools of mathematical thought and operationality of their theses

Course Credit: 3 units (3 hrs (class))

Prerequisite: COI

Semester/s Offered: Second Semester

 

MATH 195. Research Methods in Mathematics

Course Description: Principles governing mathematical research and documentation

Course Credit: 3 units (3 hrs (class))

Prerequisite: MATH 38 and MATH 101

Semester/s Offered: First Semester, Second Semester

 

MATH 199. Undergraduate Seminar

Course Description: May be taken twice

Course Credit: 1 units (1 hr (class))

Prerequisite: COI

Semester/s Offered: Second Semester

 

MATH 200. Undergraduate Thesis

Course Description: May be taken twice

Course Credit: 6 units 

Prerequisite: COI

Semester/s Offered: First Semester, Second Semester, Midyear

Last Updated on Monday, 16 October 2017 13:50

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