Academic Courses

Mathematics

NOTE: On the basis of placement tests in mathematics, students are assigned to math courses at an appropriate level. There are courses at the pre-college level, as well as a variety of transferable college courses. All courses numbered below 100 are pre-college courses.

MATH 016
Arithmetic
3-0-3
Integers, fractions, decimals, scientific notation, ratio and proportion, percents, geometry and measurement, applications, approximations, use of a scientific calculator. Credit will not apply toward graduation.

MATH 017
Elementary Algebra
3-0-3
Integer and rational arithmetic; algebraic expressions; linear equations and inequalities in one variable; rectangular coordinates; linear equations in two variables and their graphs; polynomials; factoring; quadratic equations. Credit will not apply toward graduation. Prerequisites: MATH 016.

MATH 118
Intermediate Algebra
3-0-3
Real numbers, polynomials, rational expressions, algebraic expressions, linear equations and inequalities in one variable, absolute value equations and inequalities, linear equations in two variables, graphs of lines, systems of linear equations in two variables, quadratic equations in one variable, problem solving. Prerequisite: MATH 017.

MATH 121
Computer Mathematics and Logic
3-0-3
Introduction to mathematical topics pertinent to Computer Information Systems: number bases, computer coding, logic, set theory, boolean algebra and logic gates. Prerequisite: MATH 017 or MATH 118 or higher placement. *This course is open only to Computer Information Systems students.

MATH 135
Introduction to Mathematics
3-0-3
Logical fallacies in language, proposi-tional logic, negation, conjunction, disjunction, implication, validity, soundness, Boolean algebra, applications.

MATH 137
Geometry for Design
3-0-3
Introduction to two- and three-dimensional geometry for student in visual design curricula. Traditional and computer-based geometrical construction; inductive and deductive reasoning; properties of triangles, polygons and circles; transformations and tessellations; area; the Pythagorean theorem; volume; similarity and the golden mean. Prerequisite: MATH 017 or MATH 118 or higher placement.

MATH 150
Introductory Data Analysis
3-0-3
Introduction to statistical thinking. Visual presentation of data, summarizing of data, probability, sampling and simulation. Evaluate of inferences drawn from a variety of statistical material and generation of reports summarizing and communicating statistical results. Students whose curriculum requires ECON 112/114 may not substitute MATH 150. Prerequisite: MATH 118 with a grade of C or better or MATH 161 or higher placement.

MATH 151
Linear Mathematics
3-0-3
Cartesian coordinates, linear equations in two variables, graphing lines, systems of linear equations and inequalities, Guass-Jordan elimination, matrices, matrix addition and multiplication, matrix inversion, geometric solution of linear programming problems, the Simplex method, duality. Prerequisite: MATH 118 with a grade of C or better or MATH 161 or higher placement.

MATH 152
Probability
3-0-3
Elementary set theory, counting, inclusion-exclusion, permutations and combinations, the binomial theorem, probability, sample space, events, a priori and a posteriori probability models, conditional probability, independence, discrete random variables, mean, variance, standard deviation, normal approximation to the binomial distribution. Prerequisite: MATH 118 with a grade of C or better or MATH 161 or higher placement.

MATH 153
Mathematics of Personal Finance
3-0-3
Practical introduction to basic mathematical concepts applied in the context of consumer decision making. Application of ratios, percents, powers, roots and other mathematical techniques and formulas in calculations of markup, markdown, discounts, interest compounding (earned and paid), mortgage, declining balances, depreciation, taxes, payroll deductions, automobile financing, utility bills, credit card accounts, investments and savings. Prerequisite: MATH 118 with a grade of C or better or MATH 161 or higher placement.

MATH 161
Precalculus I
3-0-3
Functions and relations and their graphs, transformations and symmetries; composition of functions; one-to-one functions and their inverses; polynomial functions; complex numbers; rational functions; conic sections. Prerequisite: MATH 118 with a grade of C or better.

MATH 162
Precalculus II
3-0-3
Exponential and logarithmic functions, trigonometric functions, inverse trigonometric functions, law of sines, law of cosines, trigonometric form of complex numbers, applications. Prerequisite: MATH 161 with a grade of C or better.

MATH 163
Discrete Mathematics
4-0-4
Set theory; functions and relations; counting and discrete probability; introduction to graphs and trees; elements of logic; introduction to proofs, proofs by induction, direct proof and proof by contradiction; recursion; Boolean algebra and logic circuits; and applications in computer science. Number theory may also be discussed. Prerequisite: MATH 161 with a grade of C or better or MATH 162 or higher placement.

MATH 165
Differential Calculus I
4-0-4
Integrated precalculus and differential calculus of polynomial, rational and algebraic functions. Graphs, local and global behavior; techniques of differentiation - product rule, quotient rule, chain rule. Introduction to the integral. Prerequisite: MATH 118 with a grade of C or better or MATH 161 or higher placement.

MATH 166
Differential Calculus II
4-0-4
Integrated precalculus and differential calculus of transcendental functions: exponential, logarithmic and trigono-metric functions. Students may then take traditional Calculus II. Prerequisite: MATH 165 with grade of C or better.

MATH 171
Calculus I
4-0-4
Functions, graphs, limits, continuity, derivatives and antiderivatives of algebraic and transcendental functions; techniques of differentiation; applica-tions of derivatives, polynomial approximation; indeterminate forms; maxima and minima and applications; curve sketching; the definite integral, the fundamental theorem of calculus, integration by substitution. Prerequisite: MATH 162 with a grade of C or better.

MATH 172
Calculus II
4-0-4
Fundamental theorem of calculus, integration by substitution, areas and volumes, techniques of integration, arc length, improper integrals, polar coordinates and parametric equations, conic sections, sequences, infinite series, power series, convergence tests, alternating series, Taylor and Maclaurin series. Prerequisite: MATH 166 with a grade of C or better or MATH 171 with a grade of C or better.

MATH 251
Statistics for Science
4-0-4
Algebra based statistics for science. Statistical topics include descriptive measures, graphical methods, discrete and continuous probability distributions, estimation, one and two-tailed hypothesis testing and categorical data. Prerequisite: MATH 118 with a grade of C or better or MATH 161 or higher placement.

MATH 263
Discrete Mathematics II
4-0-4
Algorithms and algorithm efficiency; big-?, big-?, big-? and little-o notation, average and worst-case speed; sorting algorithms; graphs, adjacency and incidence matrices, paths, connectedness, bipartite graphs, isomorphism, Euler and Hamilton paths, shortest paths, Dijkstra's algorithm, planarity, Euler's formula, graph coloring; trees, tree traversal, prefix, infix and postfix notation, spanning trees and minimum spanning trees (Prim, Kruskal). Formal languages, finite state machines and automata may also be discussed. Prerequisites: MATH 163 with a grade of C or better.

MATH 270
Linear Algebra
4-0-4
Matrices, determinants, vector spaces, inner product spaces, eigenvalues, eigenvectors, linear transformations and applications. Prerequisites: MATH 171 with a grade of C or better and MATH 172 with a grade of C or better. (MATH 172 may be taken concurrently).

MATH 271
Calculus III
4-0-4
Calculus of vector-valued functions and multivariate functions; vectors in multi-dimensional space; cylindrical, spherical and other coordinate systems; partial derivatives; multiple integrals; Green's Theorem; the divergence Theorem; Stokes Theorem. Prerequisites: MATH 172 with a grade of C or better and MATH 270 with a grade of C or better.

MATH 272
Differential Equations
4-0-4
First order equations; higher order linear differential equations; systems of linear differential equations; series solutions of linear differential equations; the Laplace transform; applications; first order partial differential equations; Fourier Series. Prerequisites: MATH 172 with a grade of C or better and MATH 270 with a grade of C or better.