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# University Catalog

### MATH 105. Cultural Mathematics

Credits: 3
 Description: Topics selected by the instructor to demonstrate the nature of mathematics. Semester Offered: DEMAND

### MATH 111. Technical Mathematics

Credits: 3
 Description: Applications of linear and quadratic functions, systems of equations, exponential and logarithmic functions and trigonometric functions. No more than 5 credits from MATH 111, 112, 113, and MATH 115 may be counted toward graduation. Prerequisites: MATH 072, or high school advanced algebra with satisfactory math placement score. Semester Offered: DEMAND

### MATH 112. College Algebra

Credits: 3
 Description: Functions and graphs; polynomial, radical, rational, exponential, logarithmic functions; equations, inequalities, systems of equations; applications. No more than 6 credits from MATH 112, 113, and MATH 115 may be counted toward graduation. Prerequisites: MATH 072 or high school advanced algebra with a satisfactory math placement score. Semester Offered: FallSpringSummer Goal Area: GOAL AREA 4: MATHEMATICAL THINKING & QUANTITATIVE REASONING

### MATH 113. Trigonometry

Credits: 3
 Description: Trigonometric functions and their graphs; inverse trigonometric functions; trigonometric identities, equations, trigonometric applications, polar coordinates. No more than 6 credits from MATH 112, 113, and MATH 115 may be counted toward graduation. Prerequisites: MATH 112, or high school pre-calculus with satisfactory math placement score. Semester Offered: FallSpring Goal Area: GOAL AREA 4: MATHEMATICAL THINKING & QUANTITATIVE REASONING

### MATH 115. Precalculus

Credits: 5
 Description: Functions and their graphs; polynomial, rational, radical, logarithmic, trigonometric and inverse trigonometric functions; algebraic and trigonometric equations and inequalities, identities, systems of equations, applications. No more than 6 credits from MATH 112, 113, and MATH 115 may be counted toward graduation. Prerequisites: MATH 072 or high school advanced algebra with a satisfactory math placement score. Semester Offered: FallSpring Goal Area: GOAL AREA 4: MATHEMATICAL THINKING & QUANTITATIVE REASONING

### MATH 170. Mind Over Math

Credits: 1
 Description: A math course for the non-mathematician. Knowledge and tools to develop non-routine problem solving skills and to reduce math avoidance. Semester Offered: DEMAND

### MATH 171. Fundamentals of Mathematics

Credits: 3
 Description: Mathematics as a problem solving tool. Concepts of sets, logic, induction, combinatorics, numeration, recursion, trees, graph theory, and matrices. Prerequisites: MATH 072, or high school advanced algebra with satisfactory math placement score Semester Offered: DEMAND

### MATH 193. Mathematical Thinking

Credits: 3
 Description: Development of problem solving and decision making strategies using mathematical tools from arithmetic, algebra, geometry, probability, and statistics. Skills to communicate and defend solutions and decisions. Prerequisites: MATH 070 or high school advanced algebra with a satisfactory math placement score. Semester Offered: FallSpringSummer Goal Area: GOAL AREA 4: MATHEMATICAL THINKING & QUANTITATIVE REASONING

### MATH 196. Finite Mathematics

Credits: 3
 Description: Functions (linear, quadratic, exponential, and logarithmic), simple and compound interest, annuities, linear programming, and probability. Mathematical modeling and applications. Prerequisites: MATH 072 or high school advanced algebra with a satisfactory math placement score. Semester Offered: FallSpringSummer Goal Area: GOAL AREA 4: MATHEMATICAL THINKING & QUANTITATIVE REASONING

### MATH 201. Elements of Mathematics I

Credits: 3
 Description: Nature of mathematics from a problem solving approach using sets, relations, number systems, discrete mathematics, and basic algebra. Prerequisites: MATH 072 or high school advanced algebra with satisfactory math placement score. Semester Offered: FallSpringSummer Goal Area: GOAL AREA 4: MATHEMATICAL THINKING & QUANTITATIVE REASONING

### MATH 211. Survey of Calculus I

Credits: 3
 Description: Ideas and concepts of calculus. Topics from differential and integral calculus of one variable. Applications to business, life sciences, economics, and other disciplines. Prerequisites: MATH 111, MATH 112, MATH 115, MATH 196 or satisfactory math placement score Semester Offered: FallSpring Goal Area: GOAL AREA 4: MATHEMATICAL THINKING & QUANTITATIVE REASONING

### MATH 212. Survey of Calculus II

Credits: 3
 Description: Differentiation and integration of trigonometric functions, integration techniques and applications, three-dimensional analytic geometry, multivariable calculus, differential equations. Prerequisites: MATH 211 Semester Offered: Spring

### MATH 221. Calculus I

Credits: 4
 Description: Limits, continuity, differentiation, applications of derivatives, integration. Prereq.: 115, or 112 and 113, or high school advanced algebra and trigonometry with a satisfactory math placement score. 4 Cr. F, S, SUM. Prerequisites: MATH 115, or MATH 112 and MATH 113, or high school advanced algebra and trigonometry with a satisfactory math placement score. Semester Offered: FallSpringSummer Goal Area: GOAL AREA 4: MATHEMATICAL THINKING & QUANTITATIVE REASONING

### MATH 222. Calculus II

Credits: 4
 Description: Integration techniques and applications, inverse functions, topics in analytic geometry, sequences and series, improper integrals, plane curves. Prerequisites: MATH 221 Semester Offered: FallSpringSummer Goal Area: GOAL AREA 4: MATHEMATICAL THINKING & QUANTITATIVE REASONING

### MATH 252. Mathematical Problem Solving with MATLAB

Credits: 3
 Description: Use of MATLAB, a mathematical computing and programming environment, to simulate, model and solve mathematically based problems. Prerequisites: MATH 222 Semester Offered: Fall

### MATH 271. Discrete Mathematics

Credits: 3
 Description: Formal logic, sets, relations, functions, introduction to number theory and graph theory, basic counting principle, discrete probability, applications. Prerequisites: MATH 113 or MATH 115 Semester Offered: FallSpring

### MATH 301. Elements of Mathematics II

Credits: 3
 Description: Continuation of MATH 201, including sequences and growth, algebraic concepts, informal geometry and measurement, statistics, and probability. Prerequisites: MATH 201 Semester Offered: FallSpringSummer

### MATH 303. Threads of Mathematical Reasoning

Credits: 2
 Description: Techniques of proof reading and writing; review of discrete mathematics; computer representation of numbers; induction; automata and grammars; computational complexity; formal logic. A transition to upper-level courses, with emphasis on reasoning and proof. Prerequisites: MATH 221 and MATH 271 Semester Offered: FallSpring

### MATH 304. Tools of Mathematical Reasoning

Credits: 3.0
 Description: Techniques of proof reading and writing; review of discrete mathematics; computer representation of numbers; induction; automata and grammars; computational complexity; formal logic; sets and transfinite cardinalities; construction of the familiar number systems. A transition to upper-level courses, with emphasis on reasoning and proof. Prerequisites: MATH 221 and MATH 271 Semester Offered: FallSpring

### MATH 312. Linear Algebra

Credits: 4
 Description: Matrices, matrix operations, systems of linear equations, determinants, geometry of R-n, vector spaces, subspaces, linear transformations, inner products, eigenvalues. Prerequisites: MATH 211 or MATH 221 Semester Offered: FallSpring

### MATH 320. Multivariable Calculus for Engineers

Credits: 3
 Description: Vectors, functions of several variables, gradients, multiple integrals, applications. Prerequisites: MATH 222 Semester Offered: FallSpring

### MATH 321. Vector and Multivariable Calculus

Credits: 4
 Description: Vectors, functions of several variables, gradients, multiple integrals, vector fields, Green's & Stokes' theorems, applications. Prerequisites: MATH 222 Semester Offered: FallSpring

### MATH 325. Differential Equations

Credits: 3
 Description: Separable and first-order linear equations, second-order linear equations having constant coefficient, applications, systems of linear ODE's with constant coefficients, nonhomogenous linear systems, Laplace transforms. Prerequisites: MATH 222, MATH 312 Semester Offered: DEMAND

### MATH 327. Differential Equations with Linear Algebra

Credits: 4
 Description: Matrices and matrix operations, Gaussian elimination, determinants, Euclidean n-space and subspaces, dependence, eigenvalues, eigenvectors, diagonalization. Separable and first-order linear equations, second-order linear equations having constant coefficients, applications, systems of linear ODE's with constant coefficients, nonhomogenous linear systems, Laplace transforms. Prerequisites: MATH 222 Semester Offered: FallSpring

### MATH 336. Data Analysis and Probability for K-8 Teachers

Credits: 3
 Description: Data collection and organization; measures of central tendency and variance; inferences and convincing arguments; subjective, theoretical, experimental, and conditional probability; simulation; counting principles; mathematical expectation. Techniques, technology, and current trends in the teaching and learning of data analysis and probability. Prerequisites: MATH 112, MATH 171, MATH 330 Semester Offered: DEMAND

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