Mathematics Division Course Descriptions

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

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