# Mathematics Courses

*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 121 Computer Mathematics and Logic

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 FNMT017 or MATH 118 or FNMT 118 (or higher) placement.**This course is open only to Computer Information Systems students.*

### MATH 123 Mathematical Principles I

This course provides an introduction to the foundations of mathematics. Topics include: logic and sets, construction of, representation of, estimation of, algebraic, geometric, ordering and metric structures on natural numbers and whole numbers. This course is open to all students but designed primarily for future teachers. This course will be open to students who are in or have placed into ENGL 098 or higher.**Prerequisite:** MATH 017 or FNMT 017 or MATH 118 or FNMT 118 (or higher) placement.

### MATH 133 Mathematical Principles II

This course is a continuation of Mathematical Principles I. Topics include: construction of, representation of, algebraic, geometric, ordering and metric structures on rational and real numbers, approximation and estimation, elementary combinatorics, probability and statistics, notions of size, mensuration, geometric structures and symmetry. **Prerequisite**: MATH 123 with a "C" or better.

### MATH 137 Geometry for Design

Introduction to two- and three-dimensional geometry for students 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 FNMT 017 or MATH 118 or FNMT 118 (or higher) placement.

### MATH 150 Introductory Data Analysis

Introduction to statistical thinking. Visual presentation of data, summarizing of data, probability, sampling and simulation. Evaluation 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 or FNMT 118 with a grade of "C" or better or MATH 161 (or higher) placement.

### MATH 151 Linear Mathematics

Cartesian coordinates, linear equations in two variables, graphing lines, systems of linear equations and inequalities, Gauss-Jordan elimination, matrices, matrix addition and multiplication, matrix inversion, geometric solution of linear programming problems, the Simplex method, duality. **Prerequisite:** MATH 118 or FNMT 118 with a grade of "C" or better or MATH 161 (or higher) placement.

### MATH 152 Probability

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 or FNMT 118 with a grade of "C" or better or MATH 161 (or higher) placement.

### MATH 153 Mathematics of Personal Finance

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 or FNMT 118 with a grade of "C" or better or MATH 161 (or higher) placement.

### MATH 161 Precalculus I

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 or FNMT 118 with a grade of "C" or better.

### MATH 162 Precalculus II

Exponential and logarithmic functions, trigonometric functions, identities, 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 I

The study of discrete structures. Discussion centers on the following: set theory; functions and relations; counting and discrete probability; introduction to graphs and trees; elements of logic; introduction to proofs, proofs by induction, direct proofs and reductio ad absurdum; recursive equations; Boolean algebra and logic circuits; and applications in computer science. Number theory may also be discussion. ** Prerequisite:** MATH 161 (C or better) or MATH 162 or higher placement.

### MATH 171 Calculus I

Functions, graphs, limits, continuity, derivatives and antiderivatives of algebraic and transcendental functions; techniques of differentiation; applications 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

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

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 or FNMT 118 with a grade of "C" or better or MATH 161 (or higher) placement.

### MATH 263 Discrete Mathematics II

Algorithms and algorithm efficiency; big-O, big-Ω, big-Θ 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. Only offered in spring semester and summer II session. **Prerequisite:** MATH 163 with a grade of "C" or better.

### MATH 270 Linear Algebra

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

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

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. Only offered in spring semester and summer II session. **Prerequisites:** MATH 172 with a grade of "C" or better and MATH 270 with a grade of "C" or better.