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# Mathematics and Statistics

## Courses - MATH Lower Division

Satisfying the Entry-Level Math (ELM) requirement (see "Undergraduate Programs" section of this catalog) is a prerequisite for all mathematics courses and mathematics education courses. Please contact the ELM Coordinator in the Department of Mathematics and Statistics for details regarding the ELM test score.

### 103. Mathematical Ideas (3)

Prerequisite: Appropriate ELM score, ELM exemption, or MAPB 7 or MAPB 11.
Surveys variety of concepts in undergraduate mathematics. Includes elementary logic, numeration systems, rational and real numbers, modular number systems, elementary combinatorics, probability and statistics, using real world examples.
Not open for credit to students with credit in any MATH or MTED course numbered greater than 103, or the equivalent. (Lecture 3 hrs.)

### 109. Modeling with Algebra (3)

Prerequisite: Appropriate ELM score, ELM exemption, or MAPB 7 or MAPB 11.
Data, functions, domain, range, representations of functions (verbal, numerical, graphical, algebraic), visualizing functions (increasing, decreasing, maximum, minimum, concave up, concave down). Linear functions, rate of change, slope, modeling data, systems of linear equations, linear inequalities. Exponentials, logs, growth decay, semi log plots for modeling.
Not open for credit to students with credit in any MATH or MTED course numbered greater than 103, or the equivalent. (Lecture 3 hrs.)

### 111. Precalculus Trigonometry (3)

Prerequisite: Appropriate ELM score, ELM exemption, or MAPB 11.
Trigonometric functions and applications. Arithmetic and graphical representation of complex numbers, polar form, DeMoivre's Theorem.
Not open for credit to students with credit in MATH 101, MATH 117 or MATH 122. (Lecture 3 hrs.)

### 113. Precalculus Algebra (3)

Prerequisite: Appropriate ELM score, ELM exemption, or MAPB 11.
Equations, inequalities. Functions, their graphs, inverses, transformations. Polynomial, rational functions, theory of equations. Exponential, logarithmic functions, modeling. Systems of equations, matrices, determinants. Sequences, series.
Not open for credit to students with credit in MATH 112, MATH 115, MATH 117, MATH 119A, MATH 120, or MATH 122. For students who will continue to MATH 115, MATH 119A, or MATH 122. (Lecture 3 hrs.)

### 114. Finite Mathematics (3)

Prerequisite: Appropriate ELM score, ELM exemption, or MAPB 11.
Combinatorial techniques and introduction to probability. Equations of lines and systems of linear equations, matrices, introduction to linear programming.
Not open for credit to students with credit in MATH 233 or MATH 380. (Lecture 3 hrs.)

### 115. Calculus for Business (3)

Prerequisite: Appropriate ELM score, ELM exemption, or MAPB 11.
Functions, derivatives, optimization problems, graphs, partial derivatives. Applications to business and economics. Emphasis on problem-solving techniques.
(Lecture 2 hrs., Activity 2 hrs) Not open for credit to students with credit in MATH 119A, MATH 120, or MATH 122.

### 115Z. Calculus for Business (3)

Prerequisites: ELM or ELM exemption or MAPB 11 or 12.
Functions, derivatives, optimization problems, graphs, partial derivatives. Lagrange multipliers, intergration of functions of one variable. Applications to business and economics. Emphasis on problem-solving techniques.
Only students with contracts through SB 1440 (the STAR Act) may enroll in this class. (Seminar 3 hours.)

### 119A. Survey of Calculus I (3)

Prerequisite: Appropriate MDPT placement or a grade of "C" or better in MATH 113.
Functions, limits and continuity, differentiation and integration of functions of one variable including exponential, logarithmic, and trigonometric functions. Graphing, optimization, parametric equations, integration by substitution and by parts, numerical integration. Applications to the life sciences. Emphasis on problem solving.
Not open for credit to students with credit in MATH 115, MATH 120 or MATH 122. (Lecture 3 hrs.)

### 119B. Survey of Calculus II (3)

Prerequisite: A grade of "C" or better in MATH 119A or MATH 122.
Functions of several variables, partial derivatives, optimization. First order differential equations, second order linear homogeneous differential equations, systems of differential equations. Probability, random variables, difference equations. Introduces matrices, Gaussian elimination, determinants. Life science applications. Emphasis on problem solving.
Not open for credit to students with credit in MATH 123 or MATH 224. (Lecture 3 hrs.)

### 122. Calculus I (4)

Prerequisite: Appropriate MDPT placement or a grade of "C" or better in MATH 111 and MATH 113.
Continuous functions. Derivatives and applications including graphing, related rates, and optimization. Transcendental functions. L'Hospital's Rule. Antiderivatives. Definite integrals. Area under a curve.
(Lecture 3 hrs., problem session 2 hrs.)

### 123. Calculus II (4)

Prerequisite: A grade of "C" or better in MATH 122.
Applications of the integral. Techniques of integration. Infinite series including convergence tests and Taylor series. Parametric equations. Polar coordinates. Introduces differential equations.
Not open for credit to students with credit in MATH 222. (Lecture 3 hrs., problem session 2 hrs.)

### 173. Programming in Mathematical Software (3)

Prerequisite: MATH 113 or equivalent.
Introduction to basic concepts and fundamental techniques for solving mathematical and scientific problems by using software MatLab and Maple. Structured problem solving and programming.
(Lecture 2 hrs, problem session, 2 hrs.) Letter grade only (A-F).

### 224. Calculus III (4)

Prerequisite: A grade of "C" or better in MATH 123 or 222.
Vectors and three-dimensional analytic geometry. Partial derivatives and Lagrange multipliers. Multiple integrals. Vector calculus, line and surface integrals. Green's Theorem, Stokes' Theorem, and the Divergence Theorem.
(Lecture 3 hrs., problem session 2 hrs.)

### 233. Fundamental Concepts for Advanced Mathematics (3)

Prerequisite: MATH 123 with a grade of "C" or better.
Fundamentals of logic and set theory, counting principles, functions and relations, induction and recursion, introduction to probability, elementary number theory, congruences. Introduces writing proofs.
(Lecture 3 hrs.)

### 247. Introduction to Linear Algebra (3)

Prerequisite: MATH 123.
Matrix algebra, solution of systems of equations, determinants, vector spaces including function spaces, inner product spaces, linear transformations, eigenvalues, eigenvectors, quadratic forms, and applications. Emphasis on computational methods.
(Lecture 3 hrs.)

### 297. Directed Study (1-6)

Prerequisite: Consent of instructor.
For students who wish to undertake special study, at the lower division level, which is not a part of any regular course, under the direction of a faculty member. Individual investigation, studies or surveys of selected problems.

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