## Mathematics Course Descriptions

**(A grade of "C" or better must be earned in the course used to satisfy the general education mathematics requirement.)**

### MATH 0803: Foundations of College Mathematics

Co-requisite: MATH 1003

The purpose of this course is to prepare for college level mathematics those students whose mathematics background is inadequate. This course is a review of solving basic equations, operations, exponents, formulas, basic numeracy, statistics, percentages, scientific notation, conversions, and other mathematical skills. This course prepares students through a focus on problem solving, working with data, and emphasis on thinking critically.

Note: The grade in the course will be computed in semester and cumulative grade point averages, but the course may not be used to satisfy general education requirements nor provide credit toward any degree.

Note: A student who makes a D or F in MATH 0803 must repeat the course in each subsequent semester until he or she earns a grade of C or better. Students who make a grade of C or better in MATH 0803 must enroll in MATH 1003 the following semester.

### MATH 0900: Beginning/Intermediate Algebra Lab

Co-requisite: MATH 0903

The purpose of this course is to prepare students for college level mathematics whose mathematics background is inadequate. This is a laboratory course designed to foster success in Intermediate Algebra and to provide additional active learning opportunities and assistance for application of the basic skills and concepts in Intermediate Algebra. The lab will take the major content areas from Intermediate class and reinforce the learning in those areas through extra practice and different perspectives.

### MATH 0903: Beginning and Intermediate Algebra

Co-requisite: Students scoring below 17 on math section of the ACT; below 460 on the math section of the RSAT; or below 243 on arithmetic section of ACCUPLACER will be required to enroll in MATH 0900.

The purpose of this course is to prepare for college level mathematics those students whose mathematics background is inadequate. Content of the course is the language of algebra, fundamental operations, signed numbers, various equations, problem solving, special products and factoring, fractions, functions, graphs, exponents, and systems of linear equations.

Note: The grade in the course will be computed in semester and cumulative grade point averages, but will not be calculated in earned hours. The course may not be used to satisfy general education requirements nor provide credit toward any degree.

Note: A student who makes a D or F in MATH 0903 must repeat the course in each subsequent semester until he or she earns a C or better. Students who make a grade of C or better in MATH 0903 must enroll in MATH 1003 or MATH 1113 the following semester.

### MATH 1001: Orientation to Mathematics

This course is designed to provide information and enhance skills that will enable students to make a successful transition to college. The course will expose students to college resources, requirements, and promote the development of practical skills for college success. Learning experiences also include exploration of career paths available in the field of mathematics.

### MATH 1003: College Mathematics

ACTS Common Course - MATH 1113

Prerequisite: Score of 19 or above on the math section of the ACTE; score of 500 or above on the math section of RSAT; score of 250 or above on the arithmetic section or quantitative reasoning, algebra, and statistics section of ACCUPLACER; or earn a grade of C* or higher in MATH 0803 or MATH 0903.

Co-requisite: Students not meeting the above prerequisite, will enroll in MATH 1003 and the co-requisite MATH 0803.

The course focuses upon the mathematics of contemporary life. Topics include Planning and Scheduling schemes from Management Science, Data Analysis, Probability and Inference from Statistics, Voting Systems and Division Schemes from the science of Social Choice, and various Growth Models.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 1110: College Algebra Lab

Co-requisite: MATH 1113 with a math ACT score of 19 or 20.

The purpose of this course is to prepare students for college level mathematics whose mathematics background is inadequate. This a laboratory course designed to foster success in College Algebra and to provide additional active learning opportunities and assistance for application of the basic skills and concepts in College Algebra. The lab will take the major content areas from the college algebra class and reinforce the learning in those areas through extra practice and different perspectives.

### MATH 1113: College Algebra

ACTS Common Course - MATH 1103

Prerequisite: Score of 21 or above on the math section of the ACTE; score of 530 or above on the math section of RSAT; score of 253 or above on the quantitative reasoning, algebra, and statistics section of ACCUPLACER; or earn a grade of C* or better in MATH 0903.

Co-requisite: Students not meeting the above prerequisite but who score 19-20 on the math section of ACTE; score 500-520 the math section of RSAT; or score 250-252 on the Quantitative Reasoning, Algebra, and Statistics section of ACCUPLACER, will enroll in MATH 1113 and the co-requisite: MATH 1110.

Co-requisite: Students not meeting the above prerequisite but who score 17-18 on the math section of ACTE; score 460-490 the math section of RSAT; or score 243-249 on the Quantitative Reasoning, Algebra, and Statistics section of ACCUPLACER, will enroll in MATH 1113 and the co-requisite: MATH 0903.

Exponents and radicals, introduction to quadratic equations, systems of equations involving quadratics, ratio, proportion, variation, progressions, the binomial theorem, inequalities, logarithms, and partial fractions.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

Note: May not be taken for credit after completion of MATH 2703 or any higher level mathematics course.

### MATH 1203: Plane Trigonometry

ACTS Common Course - MATH 1203

Prerequisite: Math ACTE score of 22 or higher, MATH 1113, or consent of Mathematics Department.

A study of the properties of the trigonometric functions and their graphs, solution of right and oblique triangles, formulas and identities, inverse functions, and trigonometric equations.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 1914: Precalculus

ACTS Common Course - MATH 1305

Prerequisite: A math ACT score of 21 or above; score of 530 or above on the math section of RSAT; score of 253 or above on the quantitative reasoning, algebra, and statistics section of ACCUPLACER; or earn a grade of C or better in MATH 1113.

This course is designed to provide additional mathematical background before enrolling in the calculus sequence.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 2033: Mathematical Concepts I

Prerequisite: MATH 1003 or 1113, elementary education major

Elementary set theory, numeration systems, elementary number theory and the real number system.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 2043: Mathematical Concepts II

Prerequisites: MATH 2033, elementary education major

A continuation of MATH 2033, including a study of the elementary concepts of probability and statistics, and an informal study of geometry.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 2223: Quantitative Business Analysis

Prerequisites: A math ACT score of 22 or higher or grade of "C" or better in MATH 1113.

This course is designed to develop the ability to use quantitative methods in accounting, business, and economics; it includes models of cost, revenue, and profit, linear programming, and probability.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 2243: Calculus for Business and Economics

ACTS Common Course - MATH 2203

Prerequisites: A math ACT score of 22 or above or a C or above MATH 1113.

An introduction to the concepts of differentiation and integration. Emphasis will be placed on applications of calculus in business, economics, accounting, social sciences, and life sciences.

Note: May not be taken for credit after completion of MATH 2914 or equivalent.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 2703: Discrete Mathematics

Prerequisite: A grade of C or above in MATH 2914 or higher level math course.

A study of graph theory, trees, combinatorics, logic, and Boolean Algebra.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 2914: Calculus I

ACTS Common Course - MATH 2405

Prerequisites: Math ACT score of 26 or higher, or a grade of C or higher in MATH 1914 or MATH 1203 or consent of instructor.

This is the first of two courses covering the calculus of functions of a single variable. The content covers differentiation of all single variable functions and introduces integration of functions.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 2924: Calculus II

ACTS Common Course - MATH 2505

Prerequisite: C or above in MATH 2914 or equivalent

This is the second of two courses covering the calculus of functions of a single variable.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 2934: Calculus III

ACTS Common Course - MATH 2603

Prerequisite: C or above in MATH 2924 or equivalent

This is the third course in the elementary calculus sequence. It covers the calculus of functions of several variables.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 3003: Foundations of Number Systems

Prerequisite: MATH 2703

A brief review of elementary set theory, followed by the construction of the natural numbers, the integers, the rational numbers, the real numbers and the complex numbers accompanied by a development of the order and field properties.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 3033: Methods of Teaching Elementary Mathematics

Prerequisite: MATH 2043 and admission to Stage II.

A course on methods of teaching the mathematics of the elementary school using mathematical concepts and principles taught in these grades.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 3123: College Geometry

Prerequisite: MATH 2924

A formal approach to plane geometry with coordinates; sets, points, lines, planes, distance, and coordinate systems, angles, congruence, parallelism, and similarity.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 3173: Math Methods for Engineers

Offered: Annually

Cross-listed: ELEG 3173

Prerequisite: MATH 3243

This course is designed to give the undergraduate student an introduction to a variety of advanced mathematical techniques used in solving engineering problems. The course will cover linear algebra, complex variables, discrete mathematics, and applied statistics.

### MATH 3203: Introduction to Analysis

Prerequisite: MATH 3003

A careful development of the real number system and the theory of calculus on the real line.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 3243: Differential Equations I

Prerequisite: C or above in MATH 2924

A study of differential equations of the first order; linear equations of higher order including the methods of undetermined coefficients and variation of parameters; linear equations with constant coefficients; special equations of order two and systems of linear first-order differential equations using matrices.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 3703: Mathematics in the Secondary Schools

Prerequisites: SEED 2002 and junior standing.

This course is an in-depth study of the mathematics curriculum currently taught in secondary schools with an emphasis on content knowledge for teaching. The course consists of classroom instruction and a field component.

Note: A grade of "C" or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 3772: Praxis II Mathematics: Content Knowledge Test Preparation

Offered: Spring

Prerequisite: Admission to Stage II of the teacher education program.

This course is designed to provide preservice teacher candidates in the Mathematics Teacher Licensure program with an intensive study of the mathematical knowledge and competencies assessed by the Praxis Mathematics: Content Knowledge test.

### MATH 4003: Linear Algebra I

Prerequisite: MATH 2924

Matrices and matrix algebra, systems of linear equations, determinants, eigenvalues, eigenvectors, general vector spaces, linear transformations.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 4033: Abstract Algebra I

Prerequisite: MATH 3003

A study of Groups and other algebraic structures. Topics include sub-groups, normal sub- groups, abelian groups, groups of permutations, homomorphisms, kernels, and range.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 4103: Linear Algebra II

Prerequisites: MATH 4003 or the consent of the Department of Mathematics.

A continuation of MATH 4003 with emphasis on abstract vector spaces, inner product spaces, linear transformations, kernel and range, and applications of linear algebra.

Note: MATH 5103 may not be taken for credit after completion of MATH 4103 or equivalent.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 4113: History of Mathematics

Prerequisite: MATH 2934

A study of selected topics from the history and nature of mathematics from ancient to modern times. Emphasis will be placed on the historical development of mathematics through a study of biographies of prominent mathematicians and the evolution of some important mathematical concepts. The fundamental role of mathematics in the rise, maintenance, and extension modern civilization will be considered.

Note: MATH 5113 may not be taken for credit after completion of this course.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 4123: Mathematical Modeling

Prerequisites: MATH 2703 and MATH 3243

This course provides an introduction to the mathematical modeling process and applies this process to problems that may be modeled with pre senior level mathematics. Emphasis will be placed on connections of mathematics to application areas such as business, industry, economics, physical sciences, biological sciences, medicine and social sciences.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 4203: Advanced Logic

Cross-listed: PHIL 4103

Prerequisites: COMS 2903 or MATH 2703 or PHIL 3103

A study of selected topics in advanced logic. Emphasis will be placed on proof theory, quantification theory, semantic tableaux, logicism, theories of completeness and consistency, and some consideration of the logical foundations mathematics.

### MATH 4243: Differential Equations II

Prerequisites: MATH 3243 and MATH 4003 or consent of the instructor.

A continuation of MATH 3243 with emphasis on higher order and systems of differential equations.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 4273: Complex Variables

Prerequisite: MATH 2934

An introduction to complex variables. This course will emphasize the subject matter and skills needed for applications of complex variables in science, engineering, and mathematics. Topics will include complex numbers, analytic functions, elementary functions of a complex variable, mapping by elementary functions, integrals, series, residues and poles and conformal mapping.

Note: MATH 5273 may not be taken for credit after completion of this course.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 4343: Introduction to Partial Differential Equations

Prerequisites: MATH 2934 and MATH 3243

This course is an introduction to partial differential equations with emphasis on applications to physical science and engineering. Analysis covers the equations of heat, wave, diffusion, Laplace, Dirichlet and Neumann equations. Course is suitable for senior level or first year graduate students in Mathematics, Physics, and Engineering.

Note: A grade of C or better must be earned in the course used to satisfy the general education mathematics requirement.

### MATH 4703: Special Methods in Mathematics

Prerequisites: Admission to State II of the teacher education program.

Co-requisites: SEED 4054 and SEED 4556

This course provides preservice teacher candidates with knowledge of current research and practice in mathematics education; a setting in which to apply that knowledge; and the opportunity to assess their teaching performance and formulate a plan for improvement.

Note: A grade of "C" or better must be earned in the course to be used to satisfy the general education mathematics requirement.

### MATH 4951, 4952, 4953, 4954: Undergraduate Research in Mathematics

Offered: On demand

Prerequisite: Departmental approval

Advanced students carry out independent research activity relating to a significant problem in a major field of study. Supervised by faculty member. Formal report and presentation required. One to four credits depending on problem selected and effort made.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.

### MATH 4971: Mathematics Senior Seminar

Prerequisites: MATH 3203 or MATH 4033, or departmental approval.

Students will engage in a research project under the guidance of faculty research advisors. The research area will depend on the interests of the students and available expertise of faculty advisors. The students will present their findings before their peers, faculty advisors, and members of the Mathematics Department Assessment Committee.

### MATH 4991, 4992, 4993, 4994: Special Problems in Mathematics

The content and credit for this course will be designed to meet the needs of the student.

Note: A grade of C of better must be earned in this course if being used to satisfy the general education mathematics requirement.