# Mathematics – ASMA

#### ASMA 103 - College Mathematics (3)

Designed to equip the student with mathematical reasoning skills and to introduce the student to a diversity of mathematical areas. Topics will include problem solving, set theory, data interpretation, the real number system, introduction to algebra, functions, consumer mathematics and an introduction to statistics. This class is not open to students who have previously obtained a waiver of three mathematics credits of the liberal arts requirements or have been awarded three credits by CLEP examination. (3 credit hours)

#### ASMA 105 - Intermediate Algebra (3)

A study of the fundamental operations of the real numbers, algebraic expressions, linear equations, graphing, systems of equations, linear inequalities, factoring of polynomials, and quadratic equations. This course does not apply to any major, minor, or concentration. (3 credit hours)

#### ASMA 131 - College Algebra (3)

A comprehensive study of polynomials, equations, inequalities, exponential and logarithmic functions with their graphs, systems of linear equations, introduction to matrix theory, introduction to probability theory, and work in the complex number system. Prerequisite: A "C" or above in ASMA 105, or Math ACT score of 22, or placement test score of 70%. (3 credit hours)

#### ASMA 136 - Pre Calculus (3)

A comprehensive study of polynomials, equations, inequalities, exponential and logarithmic functions with their graphs, systems of linear equations, introduction to matrix theory, introduction to probability theory, and work in the complex number system. Prerequisite: A C or better in ASMA 131, or Math ACT score of 22, or placement test score of 80%. (3 credit hours)

#### ASMA 140 - Math Seminar 1 (1)

Designed for Mathematics Education Majors to prepare them to use trigonometry, graphing calculators, and basic calculator programming in the college mathematics curriculum. Investigations and applications will be the primary method of learning. Prerequisite: ASMA 131 or successful completion of two years of high school algebra. (1 credit hour)

#### ASMA 143 - Calculus 1 (5)

A study which includes discussion of limits, differentiation of algebraic and transcendental functions, integration and the fundamental theorem of calculus, and applications. Prerequisites: A C or better in ASMA 136, or a Math ACT score of 24 or better, or a Calculus placement test score of 24. A TI-83 or better graphing calculator is required for this course. (5 credit hours)

#### ASMA 220 - Mathematics Lab (0)

(0 credit hours)

#### ASMA 232 - Calculus 2 (5)

A study of the techniques of integration and applications including an introduction to differential equations, sequences and series, and parametric equations. Prerequisite: A C or better in ASMA 143. A TI-83 or better graphing calculator is required for this course. (5 credit hours)

#### ASMA 234 - Calculus 3 (3)

A study of vectors and vector-valued functions and geometric space, including functions of several variables, multiple integration, and vector analysis. Prerequisite: A C or better in ASMA 232. A TI-83 or better graphing calculator is required for this course. (3 credit hours)

#### ASMA 238 - Probability and Statistics (3)

A study of probability models, conditional probability, elements of combinatorial math, random variables, discrete and continuous probability distributions, expectations, random sampling, statistics, and estimation and confidence levels. Prerequisite: A "C" or above in ASMA 105 or above, or math ACT score of 22, or an Algebra placement test score of 80%. (3 credit hours)

#### ASMA 250 - Foundations of Mathematics (2)

Designed to prepare the student for upper-level mathematics courses and graduate study in mathematics. Topics will include mathematical logic, mathematical reasoning, set theory, structure of proofs, countable and uncountable sets, and mathematical induction. Prerequisite: ASMA 234 or consent of instructor. (2 credit hours)

#### ASMA 301 - Math Seminar 2 (2)

Designed for Mathematics Education Majors to enhance their preparation for teaching high-school mathematics material. Prerequisite: Upper Level Status as a Mathematics Education major. (2 credit hour)

#### ASMA 335 - Advanced Geometry (3)

Examines concepts of Euclidean and non-Euclidean Geometries. Students will use the computer program Geometer's Sketchpad to discover the logic of Geometry. The students will make predictions and Sketchpad to confirm or refute their predictions. Prerequisite: ASMA 143. Non-math majors or minors must have consent of instructor. (3 credit hours)

#### ASMA 339 - Abstract Algebra (3)

A study of mappings, group theory, isomorphisms, rings, integral domains, and fields. Prerequisite: ASMA 234 or consent of instructor. (3 credit hours)

#### ASMA 341 - Linear Algebra (3)

A study of matrices, matrix operations, determinants, methods of solving systems of linear equations, real vector spaces, eigenvalues, and eigenvectors. Prerequisite: Successful completion of ASMA 131 or higher. (3 credit hours)

#### ASMA 343 - Statistics 2 (2)

Designed to advance the background of the student in probability and statistics. Topics include ANOVA, student's t-distribution, the F-distribution, the Chi-square distribution, multiple correlation and regression, and non-parametric statistical methods. Prerequisite: A C or better in ASMA 238. (2 credit hours)

#### ASMA 346 - Number Theory (2)

A study of the properties of the integers, the properties of primes, divisibility, linear and quadratic congruences, and Diophantine equations. (2 credit hours)