# Mathematics Course Descriptions

**MATH 0013****
Pre-Intermediate Algebra** - A course to teach the basic ideas in theory and
application of several areas of mathematics. The student will be prepared to
complete Intermediate Algebra. Course covers real numbers, simple algebraic
expressions, linear equations in one variable, polynomials, factoring and consumer multiplication. *This
course does not count as a degree requirement.*

**MATH 0123**** Intermediate Algebra** - A course designed to meet the curriculum
deficiency for beginning freshmen or transfer students. The course includes
elementary algebra to give the student an adequate mathematical background. Topics covered include equations of lines, factoring, solving equations, polynomials, and the quadratic formula. *This
course does not count as degree a requirement.*

**MATH 1313**** Statistics **- Introductory course in statistics designed to introduce students to the
techniques of experimental statistics and to develop general knowledge of statistics. Topics covered include: data analysis and collection, statistical summary measures, correlation, introductory probability concepts, sampling distributions and sampling variability, point and interval estimation, and hypothesis testing. Pre: High School Algebra

**MATH 1403**** Contemporary Mathematics** - An alternative to Colege Algebra, that offers an overview of traditional algebraic
topics using an applied format. Topics include linear and quadratic functions, consumer mathemtaics, introductory statistics, mathematical modeling and applications. This course will fulfill the general education requirement but will not count as a prerequisite for MATH 1613 or MATH 2215.

**MATH 1513**** College Algebra** - Designed to provide techniques and concepts
necessary to study applications in various fields. Topics include: factoring, solving and graphing equations and inequalities, and an introduction to linear, quadratic, polynomial, exponential, logarithmic and rational functions and their associated applications. Course fulfills general
education requirement. Pre: Curricular requirements from high school.

**MATH 1613**** Trigonometry** - Trigonometric functions, identities, equations, radian
measure and applications, solution of triangles. Pre: MATH 1513 or permission of
the mathematics department.

**MATH 1715** **Precalculus** - This course covers various topics in algebra and trigonometry and is suitable for students preparing for Calculus. Algebra topics covered include: equations and functions (polynomial, rational, radical, exponential, logarithmic), graphing and solving equations, systems of equations, and elementary sequences and series. Additional topics in trigonometry include: trigonometric functions and inverses, graphs of trigonometric functions, trigonometric identities, law of sines, law of cosines, trigonometric form of complex numbers, and applications. Pre: cirricular requirements from high school

**MATH 2215**** Analytic Geometry and Calculus I **- Introduction to theory and
applications of elementary analytical geometry. Topics include: limits and continuity, differentiation and integration techniques and applications. Pre: MATH 1613 or permission of the
mathematics department.

**MATH 2315**** Analytic Geometry and Calculus II **- A continuation and extension of
2215 including coverage of advanced integration techniques, improper integrals, infinite series, power series, Taylor polynomials, conics, parametric equations, and polar coordinates. Pre: MATH 2215

**MATH 3013**** Linear Algebra **- Fundamental concepts of the algebra of matrices,
including the study of matrices, determinants, linear transformations, and
vector spaces. Pre: MATH 2315 and MATH 3053 or permission of the mathematics
department.

**MATH 3023**** Theory of Numbers **- Study of integers including
divisibility, primes, congruences, and number-theoretic functions. Pre: MATH
2315 and MATH 3053 or permission of the mathematics department.

**MATH 3033**** Theory of Probability and Statistics I **- Introduction to the theory and applications of Probability and Statistics. Course covers descriptive statistics, probability, random variables, probability distributions, expected value, and statistical inference. Pre: MATH 2215 and MATH 2315 or
permission of the mathematics department.

**MATH 3042**** Mathematics Technology **- This course will introduce students to
several types of mathematics technology. In particular, students will be
introduced to graphing calculators, computer software such as
Mathematica, Derive, Smart Notebook Math Tools, Microsoft Excel, and Equation Editor. The course is designed to help
students learn and understand mathematics with the aide of technology. The
technology will be used to help illustrate various applications of mathematics,
including solving equations, graphing equations, trigonometry, elementary
statistics, and calculus. Students will gain experience using technology to present mathematics topics as well as use technology to produce technical mathematics writing. Prerequisites: MATH 2215 Calculus I or permission of
the department.

**MATH 3053**** Discrete Mathematics **- Theory and applications of discrete
mathematical models. Topics include: set theory, formal logic and proof techniques, relations and
functions, combinatorics and probability, Boolean algebra, systems of equations
and linear programming. Pre: MATH 2215.

**MATH 3323**** Multivariable Calculus** - A continuation and extension of Calculus I
and II to Euclidean 3-space. Pre: MATH 2315 or permission of the mathematics
department.

**MATH 3353**** Introduction to Modern Algebra - **Fundamental concepts of the
structure of mathematical systems. Group, ring, and field theory. Pre: MATH 2315
and MATH 3513 or permission of the mathematics department.

**MATH 3513**** College Geometry - **Advanced plane geometry with an introduction to non-Euclidean geometrical
concepts. Pre: MATH 2215 or permission of the mathematics
department.

**MATH 4033**** Theory of Probability and Statistics II - **Continuation and extension of MATH 3033 including hypothesis testing, Analysis of Variance, Regression & Correlation, GOF tests, and an introduction to categorical data analysis. Pre: MATH 3033 or permission of the
mathematics department.

**MATH 4113**** Advanced Calculus - **The calculus function of
n and several variables; implicit functions, partial derivatives, Riemann
integrals, infinite series, special functions. Pre: MATH 2315 and MATH 3053.

**MATH 4203**** Differential Equations - **Introduction to the
theory and applications of ordinary differential equations. Pre: MATH 2315 or
permission of the mathematics department.

**MATH 4333**** History of Mathematics -** Historical
development of mathematics and the study of ancient methods in solving problems.
Pre: MATH 2215 or permission of the mathematics department.

**MATH 4442**** Teaching Secondary Mathematics - **Problems and
methods of teaching mathematics. Pre: MATH 2315 or permission of the mathematics
department.

**MATH 4533**** Mathematics Models and Applications - **A study
of the foundations of model building. Applications of advanced mathematics.
Computer algorithms and practical evaluation of models. Pre: MATH 2315 or
permission of the department.

**Mathematics Area of Concentration for
Elementary Teachers ( These classes will NOT satisfy general education
requirements and will NOT count as electives for math majors) **

**MATH 2233**** Structural Concepts in Arithmetic - **A modern introduction to the real number system and its subsystems. This will include an introduction to problem solving; an introduction numeration systems, set operations and properties, whole numbers, integers, rational numbers, and number theory. Pre: High School Algebra

**MATH 3203**** Structural Concepts in Mathematics - **A continuation of Math 2233 Structural Concepts of Arithmetic. Topics covered include: proportions, decimals, percents and associated applications, real numbers & algebraic thinking, introduction to probability, statistics, and data analysis. Pre: Math 2233 or Math 1513 or permission of the department

**MATH 3223**** Geometry for Elementary Teachers - **Introduction to geometric concepts to provide the mathematical
background for elementary teachers. Topics include: linear measure, polygons, symmetry, angles, congruence and similarity conditions, geometric constructions, area and volume. Pre: MATH 3203 or permission of the
mathematics department.