Mathematics (MA) Courses

Note: Prerequisites for mathematics courses below are not suggestions. They are requirements for entrance into a course.

1020 Introductory Algebra (3 non-credit hours) F
A review of high school algebra that includes a review of real numbers, equations, inequalities, problem solving, graphing, polynomials, factoring, and systems of equations. Students who score below 15 on the ACT or 360 on the SAT in math will be required to take this course. This is a developmental non-credit course. (See pages 32 and 45 of this catalog concerning Developmental Non-Credit Courses.)

1030 Intermediate Algebra (3 non-credit hours) F, SP, SU
A review of high school algebra that includes factoring, inequalities and problem solving, rational expressions, functions, exponents and radicals, and quadratic equations and functions. This is a developmental non-credit course. (See pages 32 and 45 concerning Developmental Non-Credit Courses.) Prerequisite: At least a 15 ACT (or 360 SAT) math score or Mathematics 1020 with a minimum grade of “C.”

1043 Survey of the Fundamentals of Mathematics (3) F, SP, SU
Mathematics 1043 cannot be used as a prerequisite or as a substitute for college algebra. Topics covered are problem solving, logic, numeration systems, calculators, basic concepts of number theory and algebra, sequences, series and finance mathematics. Required of most students who plan to teach. (See Education section of this catalog.) Prerequisite: At least a 19 ACT (or 460 SAT) math score or Mathematics 1030 with a minimum grade of “C.”

1053 Survey of Algebra and Statistics (3) F, SP, SU
Topics from algebra include functions, graphs, systems of equations and inequalities, matrices, and linear programming. Topics from statistics include probability, sampling techniques, tables and graphs used to represent data, descriptive statistics, and probability distributions including the normal distribution. Required of all K-8 education students. This course does not satisfy specific program requirements of College Algebra (Mathematics 1113) or Elementary Statistics (Mathematics 2183). (It is recommended that students with a grade of “C” or higher in Mathematics 1113 complete Mathematics 2183 to fulfill state knowledge and skills requirements in these two concept areas.) Prerequisite: At least a 19 ACT (or 460 SAT) math score or Mathematics 1030 with a minimum grade of “C.”

1113 College Algebra (3) F, SP, SU
Quick review of equations and inequalities; functions and graphs; polynomial and rational functions; exponential and logarithmic functions; systems of equations and inequalities; sequences, series, and probability. Prerequisites: two years of high school algebra and at least a 21 ACT (or 500 SAT) math score, or Mathematics 1030 with a minimum grade of “C.”

1123 Trigonometry and Analytic Geometry (3) F, SP
The trigonometric and circular functions; trigonometric analysis; analytical geometry of the plane and three space including the conic sections, rotation of axes, polar coordinates, polar equations of conics, plane curves and parametric equations. Prerequisites: two years of high school algebra and at least a 26 ACT (or 590 SAT) math score, or Mathematics 1113 with a minimum grade of “C.”

1135 College Pre-calculus (5) F
Functions and graphs; exponential and logarithmic functions; systems of equations and inequalities; sequences, series, and probability; trigonometric and circular functions, trigonometric analysis. Prerequisites: two years of high school algebra and at least 24 ACT (or 550 SAT math score).

1314 Calculus I (4) F, SP
Functions and limits, differentiation of polynomial functions, applications of the derivative, antidifferentiation, the definite integral, transcendental functions, numerical methods. Prerequisite: Mathematics 1123 with a minimum grade of “C,” or Mathematics 1135 with a minimum grade of “C”; or a semester of high school trigonometry and at least a 26 ACT (or 590 SAT) math score.

2000 Math Lab Tutoring (0) F, SP
Tutoring in the university’s math lab two hours per week. Payment will be provided, but number of tutors allowed each semester will be limited. Required of all Teaching Math majors for a minimum of four semesters. Required of all Regular Math Majors for a minimum of two semesters. Prerequisite: Mathematics 2103.

2053 Survey of Calculus (3) F
This course includes topics from integral and differential calculus which involve polynomials, exponential and logarithmic functions. No trigonometric functions are used. The course does not count toward a math major or minor nor toward the add-on secondary teaching endorsements in mathematics. The course will not serve as a prerequisite for Mathematics 2314. Prerequisite: Mathematics 1113 with a grade of “C” or better or at least a 23 ACT (or 550 SAT) math score.

2103 Discrete Mathematics (3) F, SP
Introduction to the mathematics of computer science, including functions, relations, trees, counting, and computability. Prerequisite: Mathematics 1113 with a minimum grade of “C,”or at least a 23 ACT (or 550 SAT) math score.

2183 Elementary Statistics (3) F, SP, SU
Data collection and presentation; measures of central tendency and variability; discrete and continuous probability distributions; confidence intervals; hypothesis testing; analysis of variance; regression. Prerequisite: Mathematics 1113 with a minimum grade of “C,” or at least a 23 ACT (or 505 SAT) math score. Computer Science 1041 strongly recommended.

2314 Calculus II (4) F, SP
Applications of integration, techniques of integration, indeterminate forms, improper integrals, numerical methods, conics, polar coordinates, infinite series, and parametric equations. Prerequisite: Mathematics 1314 with a minimum grade of “C,” or at least a 3 on the AP exam.

2324 Calculus III (4) F, SP
Plane and space vectors, multivariable differentiation and integration, directional derivatives, gradients, extremes, and vector calculus (including line integrals, Green’s theorem, surface integrals, Gauss’ theorem, and Stokes’ theorem). Prerequisite: Mathematics 2314 with a minimum grade of “C,” or a 5 on the Advanced Placement Calculus BC exam.

2903 Logic, Proof, and Mathematical Modeling (3) SP
Introduction to higher mathematical thinking, including the study of sets, basic logic, proof techniques, and mathematical modeling. Prerequisite: Mathematics 1314 with a minimum grade of “C.” Failure to complete Mathematics 2903 by the end of the sophomore year will result in delay in graduation.

3012 Methods of Teaching Secondary Mathematics (2) SP
Experiences in methods of teaching mathematics in the secondary school, exposure to current trends and issues in mathematics education, and philosophy of mathematics education. To be taken during the semester preceding Professional Semester. Prerequisites: Education 2312, 3322, 3332.

3053 Survey of Geometry (3) F, SP, SU
Both formal and informal methods are used to examine the basic concepts of Euclidean geometry (angles, triangles, circles, parallel lines, polygons). The course is required of all students seeking K-8 certification. It does not satisfy mathematics major or minor requirements or secondary certification requirements. Prerequisites: Mathematics 1043 with a minimum grade of “C” and either Mathematics 1053 or 1113 with a minimum grade of “C.”

3123 Mathematical Theory of Statistics (3) F (even-numbered years)
Probability theory, binomial, hypergeometric, Poisson, normal, gamma, t, F, chi square, and bivariate normal distributions, estimation and hypothesis testing theory with applications to means, proportions, variances, and correlation; computer applications using the Minitab statistical program. Two lecture hours plus two lab/recitation hours per week. Prerequisite: Mathematics 2314 with a minimum grade of “C.”

3133 Differential Equations (3) SP
The solution of differential equations of first order and first degree (with applications); linear differential equations of higher order (with applications); Laplace transform methods; solutions by series. Prerequisite: Mathematics 2314 with a minimum grade of “C.”

3213 Linear Algebra (3) F (odd-numbered years)
Vector spaces; matrices; linear transformations; determinants; systems of equations; inner products; eigenvalues and eigenvectors; Markov chains; applications to differential equations. Prerequisite: Mathematics 2103 or 2903 with a minimum grade of “C.”

4023 History of Mathematics (3) SP (even-numbered years)
Survey of the historical developments and achievements in mathematics from ancient civilizations to the modern era with emphasis on its integral role in the development of civilization. Required of all mathematics teaching majors and elective for all other majors. Writing assignments required. Prerequisite: Mathematics 2314 or consent of instructor.

4113 Abstract Algebra (3) SP (even-numbered years)
The integers; groups; rings; integral domains; fields; polynomials. Prerequisite: Mathematics 3213 with a minimum grade of “C.”

4153 Introduction to Higher Geometry (3) SP (odd-numbered years)
Finite geometries; transformations; convexity; polygons and circles; constructions; inversion; projective and metric properties; duality; non-Euclidean geometries. Prerequisite: Mathematics 2903 with a minimum grade of “C.”

4213 Advanced Calculus (3) F (even-numbered years)
The real numbers; calculus of functions of one variable; sequences and series of functions. Prerequisites: Mathematics 2324, 2903 with minimum grade of “C.”

4303 Numerical Analysis (3) SP
Topics include: numerical differentiation and integration, initial-value problems for ordinary differential equations, direct methods for solving linear systems, iterative techniques in matrix algebra, and approximation of eigenvalues. Computer solution of problems will be required. Prerequisites: Mathematics 2324, 3133 with minimum grade of “C.”

480V Independent Study (1, 2, or 3)
May be taken only with the approval of the mathematics faculty. Offered only to math majors who want to study a math course not in the catalog. Requires junior standing.

4903 Special Topics in Mathematics (3) SP (odd-numbered years)
Selected topics from the field of mathematics are offered. The course may be either lecture or proof-oriented depending upon the topic selected. The study represents an in-depth approach to a specific area of mathematics. This course may be repeated for credit. Prerequisite: Mathematics 2903 with minimum grade of “C.”

4992 Senior Seminar (2) SP
A review of undergraduate mathematics including practice in problem-solving.