#### Applied Mathematics Courses

**AMAT 19. Finite Mathematics (3)**

An introduction to the concepts of logic, probability, mathematical programming, theory of

games and graph. 3 hrs (class). (1)**AMAT 110. Mathematical Modeling (3)**

Principles, methods and applications of mathematical modeling.

3 hrs (class). PR. MATH 37 and STAT I. (2)**AMAT 115. Introduction to Mathematical Decision Theory (3) **

Fundamental concepts of quantitative decision making.

3 hrs (class). PR. AMAT 110 and MATH 181 or Stat 145. (2)**AMAT 150. Computer Programming (3)**

Basic computer programming concepts; program constructs and techniques in algorithm

development; syntax of programming language.

5 hrs (2 class, 3 lab). PR. COI. (1,2,S)**AMAT 160. Linear Programming (3)**

Formulation, computation, solutions and applications of linear programming.

3 hrs (class). PR. MATH 120 and AMAT 110 or COI. (1)**AMAT 161. Nonlinear Programming (3)**

Formulation, computation, solutions and applications of nonlinear programming.

3 hrs (class). PR. MATH 120 and AMAT 110 or COI (2)**AMAT 162. Integer and Dynamic Programming (3)**

Survey of integer and dynamic programming techniques.

3 hrs (class). PR. AMAT 160. (2)**AMAT 167. Mathematical Models in Operations Research I (3)**

Survey and analysis of mathematical models used in inventories, queues, maintenance

of systems, and project management.

3 hrs (class). PR. AMAT 110. (1)**AMAT 168. Mathematical Models in Operations Research II (3)**

Survey and analysis of mathematical models used in transportation planning, facility layout

and location, finance and investment, and performance evaluation of systems.

3 hrs (class). PR. AMAT 160. (2)**AMAT 170. Theory of Interest (3)**

Principles, methods and applications of the theory of interest.

3 hrs (class). PR. MATH 27 or MATH 37. (2)**AMAT 171. Life Insurance Mathematics I (3)**

Mortality, life annuities, life insurance policies and net premiums, methods of valuation,

modified and net level reserves, non-forfeiture options, and gross premiums.

3 hrs (class). PR. AMAT 170 and STAT 1. (1)**AMAT 172. Life Insurance Mathematics II (3)**

Mathematical theory of contingencies of single and multiple lines.

3 hrs (class). PR. AMAT 171. (2)**AMAT 174. Measurement of Mortality (3)**

Theory and methods of measuring mortality. 3 hrs (class). PR. AMAT 172 (1)**AMAT 176. Actuarial Science (3)**

Investment of life insurance funds, selection of risks and reinsurance, valuation of liabilities,

non-forfeiture values, asset share studies, process of premium formulation.

3 hrs (class). PR. AMAT 172. (1)**AMAT 190. Special Problems (1-3)**

Maybe taken twice provided the total number of units to be credited to the student’s

program will not exceed 4 units. PR COI (1,2,S)**AMAT 191a. Special Topics in Operations Research (1-3)**

May be taken twice provided that total number of units to be credited to the student’s

program will not exceed 4 units. PR. COI. (2)**AMAT 191b. Special Topics in Actuarial Science (1-3)**

May be taken twice provided that total number of units to be credited to the student’s

program will not exceed 4 units. PR. COI. (2)**AMAT 198. Practicum (3)**

PR. COI. (S)**AMAT 199. Undergraduate Seminar (1)**

May be taken twice. 1 hr (class). PR. COI. (1,2)

#### Mathematics Courses

**MATH 11. College Algebra (3)**

Sets, real number system; radicals and rational exponents; linear equations and inequalities;

quadratics; systems of equations; functions

3 hrs (class). (1,2,S)**MATH 14. Plane Trigonometry (3)**

Functions and relations; logarithms and applications; circular and trigonometric functions

and their inverses; solutions of right and oblique triangles.

3 hrs (class). PR. MATH 11. (1,2,S)**MATH 17. Algebra and Trigonometry (5)**

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.

5 hrs. (class). (1,2,)**MATH 18. College Geometry (3) **

Axioms and propositions of plane, solid and spherical geometry.

3 hrs (class). PR. MATH 14 or MATH 17. (1,2)**MATH 26. Analytic Geometry and Calculus I (3)**

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.

3 hrs (class). PR. MATH 14 or MATH 17. (1,2,S)**MATH 27. Analytic Geometry and Calculus II (3)**

Differentiation and integration of transcendental functions. Indeterminate forms; integration

formulas. Integration procedures. Application of integration. Polar coordinate system.

3 hrs (class). PR. MATH 26. (1,2,S)**MATH 28. Analytic Geometry and Calculus III (3)**

Parametric equations, vectors and solid analytic geometry; partial differentiation; multiple

integrals; infinite series.

3 hrs (class). PR. MATH 27. (1,2,S)**MATH 36. Mathematical Analysis I (5)**

The real number system; plane analytic geometry and conic sections, limits and continuity,

differentiation and integration of algebraic functions.

5 hrs (class). PR. MATH 14 or MATH 17. (1,2)**MATH 37. Mathematical Analysis II (5)**

Derivatives and integrals of transcendental functions; parametric equations; polar coordinates,

techniques of integration and applications; vectors in two and three dimensions; loci in space.

5 hrs (class). PR. MATH 36. (1,2)**MATH 38. Mathematical Analysis III (3)**

Theories, techniques and applications of partial differentiation and multiple integration, vector

differential and integral calculus; elements of infinite series.

3 hrs (class). PR. MATH 37. (1,2)**MATH 101. Logic and Set Theory (3)**

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.

3 hrs (class). PR. MATH 26 or MATH 36 or COI. (1,2)**MATH 103. Elementary Theory of Numbers (3)**

Divisibility of integers; primes; congruences; quadratic reciprocity; some functions in number

theory and diophantine equations.

3 hrs (class). PR. MATH 101. (2)**MATH 111. Modern Algebra I (3)**

Binary operations and groups; subgroups; groups of permutations; cyclic groups; isomorphism,

homomorphism; cosets and factor groups.

3 hrs (class). PR. MATH 101. (1)**MATH 112. Modern Algebra II (3)**

Rings, fields and integral domains, ideals and quotient rings, polynomial fields, automorphisms,

selected topics,.

3 hrs (class) PR. MATH111, (2)**MATH 120. Linear Algebra (3)**

Solution of system of linear equations by matrices; matrix operations and vector spaces;

linear operators and linear transformation; determinants and eigenvalues.

3 hrs (class). PR. MATH 37 and MATH 101 or COI. (1,2)**MATH 130. Metric Geometry (3)**

Foundation and structure of metric geometry as a postulational system of reasoning.

3 hrs (class). PR. MATH 101. (2)**MATH 133. Non-Euclidean Geometries (3)**

Origin and development of non-Euclidean geometries.

3 hrs (class). PR. MATH 130. (1)**MATH 135. Projective Geometry (3)**

Synthetic and analytic treatment of projective transformations, duality, conics, polarities and

involution; axiomatic projective geometry; extensions of real projective geometry.

3 hrs (class). PR. MATH 133 or COI. (2)**MATH 141. Introductory Combinatorics (3)**

Elementary configurations; enumeration of configurations and investigation of unknown

configurations.

3 hrs (class). PR. MATH 38 and either MATH 101 or CMSC 56 and CMSC 57. (1)**MATH 143. Graph Theory (3)**

Path problems, directed graphs and colorability and their application.

3 hrs (class). PR. MATH 101 or CMSC 56 and CMSC 57. (1)**MATH 151. Ordinary Differential Equations (3)**

Theory methods and applications of ordinary differential equations.

3 hrs (class). PR. MATH 38 or MATH 28. (1)**MATH 152. Partial Differential Equations (3)**

Theory, methods and applications of partial differential equations.

3 hrs (class). PR. MATH 151. (2)**MATH 155. Advanced Calculus I (3)**

Geometry of the euclidean n-space; topological concepts; sequences; continuity; limits;

convergence.

3 hrs (class). PR. MATH 38 and MATH 101 or COI. (1)**MATH 156. Advanced Calculus II (3)**

Transformation; differentiation of composite functions; inverses of functions and

transformations; integration-definite integral, improper integral.

3 hrs (class). PR. MATH 155. (2)**MATH 160. Vector Analysis (3)**

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.

3 hrs (class). PR. MATH 38 or MATH 28. (2)**MATH 165. Complex Analysis I (3)**

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.

3 hrs (class). PR. MATH 38 and MATH 101 or COI. (1)**MATH 166. Complex Analysis II (3)**

Generalization of the theories and techniques of power series, integration and transformation

to complex variables. 3 hrs (class). PR. MATH 165. (2)**MATH 168. Introductory Topology (3)**

Basic topological concepts, theory and methods.

3 hrs (class). PR. MATH 38 and MATH 101. (2)**MATH 170. Finite Differences (3)**

Calculus of finite differences; difference equations in general; and linear difference equations

with constant coefficients and selected topics.

3 hrs (class). PR. MATH 38. (1)**MATH 174. Numerical Analysis I (3)**

Theory, analysis and implementation of algorithms in polynomial approximation, numerical

differentiation and integration.

5 hrs (2 class, 3 lab). MATH 38 and either AMAT 150 or CMSC 21. (1)**MATH 175. Numerical Analysis II (3)**

Theory, analysis and implementation of algorithms for solving non-linear equations, linear

systems and ordinary differential equations.

5 hrs (2 class, 3 lab). PR. MATH 174. (2)**MATH 181. Introduction to Probability Theory (3)**

Elements of combinatorial analysis and introductory probability theory.

3 hrs (class) . PR. MATH 101 and MATH 38 or MATH 28 (1)**MATH 182. Introduction to Stochastic Processes (3)**

Theory and applications of Bernoulli trials; infinite sequence of trials; random walk and run

problems; branching processes and Markov chains.

3 hrs (class). PR. MATH 181 or STAT 143.**MATH 190. Special Problems (3)**

Maybe taken twice provided the total number of units to be credited to the student’s

program will not exceed 4 units. PR COI (1,2,S)**MATH 191. Special Topics (3)**

May be taken twice provided that total number of units to be credited to the student’s

program will not exceed 4 units. PR. COI. (1)**MATH 192. Foundations of Mathematics (3)**

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.

3 hrs (class). PR. COI. (2)**MATH 199. Undergraduate Seminar (3)**

May be taken twice. PR. COI. (2)

#### Mathematics and Science Teaching Courses

**MST 40 (or DEVC 40)**

Fundamentals of Educational Communication and Technology (3). Theories, principles and

concepts of educational communication and technology; practice in planning and designing of

media-based learning systems. 3 hrs (lect/recit). PR. DEVC 11 or COI. (1,2)**MST 123**

The Teaching of Mathematics and Science (3). Principles, trends and method of teaching

mathematics and science.

5 hrs (2 class, 3 lab). PR. MST 40/DEVC 40 and EDUC 122. (2)**MST 190. Special Problems (3)**

PR. COI. (1,2)**MST 199. Undergraduate Seminar (1)**

PR. COI. (1,2)**MST 200a. Student Teaching I (on campus) (3)**

PR. MST 102. (1,2)**MST 200b. Student Teaching II (off campus) (3)**

PR. MST 200a. (1,2)

#### RGEP Courses

**MATH 1 (MST). (formerly MATH I) Quantitative Reasoning (3)**

Logical, quantitative, and mathematical thinking.

3 hrs (class). (1,2) **MATH 2 (MST). Problem Solving (3)**

Approaches, techniques and strategies of problem solving using discrete mathematics.

3 hrs (class). (1,2)

Last Updated on Tuesday, 08 November 2011 16:43