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Mathematics > Courses

Courses

Department of Mathematics

From the 2012-2013 Millsaps Catalog. See a list of all current classes.

1000 Topics in Mathematics (4 sem. hours). A course with varying topics in mathematics chosen by the instructor. The content may focus on a specific subject or may survey several topics in mathematics. Possible topics include mathematics and society, logic and problem solving, and models in business and the social sciences. This course satisfies the Core 8 requirement but not the Core 9 requirement. This course does not serve as a prerequisite for any other mathematics course. Prerequisite: a minimum ACT mathematics sub-score of 16 or permission of department.

1130 Elementary Functions (4 sem. hours). A review of algebraic expressions, equations, and inequalities, and a study of linear, polynomial, rational, exponential, logarithmic, and trigonometric functions. Credit is not allowed for students who have received college credit for Precalculus or any Calculus course. Prerequisite: A minimum ACT mathematics sub-score of 20 or permission of department. Credit is not allowed for both MATH 1130 and College Algebra.

1150 Elementary Statistics (4 sem. hours). Introduction to descriptive statistics and statistical inference. Topics include the Central Limit Theorem, confidence intervals, chi square test of independence and goodness of fit, analysis of variance, correlation, and regression analysis. Applications to business, education, and other disciplines are emphasized. Course includes a computer-based laboratory. Prerequisite: A minimum ACT mathematics sub-score of 16 or permission of department.

1210 Survey of Calculus (4 sem. hours). Topics include limits, the derivative, applications of the derivative with focus on applications in business and the social sciences, antiderivatives, and applications of the definite integral. Course includes a computer-based laboratory. Credit is not allowed for both MATH 1210 and MATH 1220. Prerequisite: Elementary Functions (MATH 1130). (with grade of C- or better) or a minimum ACT mathematics sub-score of 24.

1220 Analytic Geometry and Calculus I (4 sem. hours). Topics include limits, continuity of functions, the derivative, anti-derivatives, integrals, the fundamental theorem, and applications. Course includes a computer-based laboratory. Credit is not allowed for both MATH 1210 and MATH 1220. Prerequisite: Elementary Functions (MATH 1130) (with grade of C- or better) or a minimum ACT mathematics sub-score of 24.

1750-1753 Selected Topics in Introductory Mathematics (1-4 sem. hours). A narrowly defined, introductory study of an area of mathematics that is not covered through regular departmental offerings. While the course content will be decided by the instructor, topics could include mathematics in art and architecture, financial mathematics, and cryptology. Prerequisite: consent of the instructor.

2230 Analytic Geometry and Calculus II (4 sem. hours). Integration techniques; applications of the integral; the properties of exponential, logarithmic, trigonometric, and inverse trigonometric functions; indeterminate forms; improper integrals; and an introduction to infinite series. Prerequisite: MATH 1220 or departmental approval.

2240 Analytic Geometry and Calculus III (4 sem. hours). A continuation of MATH 2230. Infinite series, partial derivatives, and multiple integrals and their applications. Prerequisite: MATH 2230 or departmental approval. 2310 Introduction to Advanced Mathematics (4 sem. hours). Topics include logic and proofs, set theory, relations, functions, and cardinality. Prerequisite: MATH 1220 or departmental approval.

2750-2753 Selected Topics in Intermediate Level Mathematics (1-4 sem. hours). A study of mathematical topics not covered in regular departmental offerings, or an extension of materials covered in regular departmental offerings. Prerequisite: MATH 1220 and consent of instructor.

3540 Differential Equations (4 sem. hours). An introduction to ordinary differential equations, emphasizing equations of first and second order; linear differential equations of higher order and applications to physics, chemistry, and medicine. Prerequisite: MATH 2230 or departmental approval.

3560 Discrete Structures (4 sem. hours). Topics include predicate logic, algorithms, modular arithmetic, counting techniques, recurrence relations, principle of inclusion exclusion, graph theory, and trees. Prerequisite: MATH 2230 and 2310 or departmental approval. This course is the same as CSCI 3500. Offered in alternate years.

3570 Numerical Analysis (4 sem. hours). Solutions of nonlinear equations and systems of linear equations, error analysis, numerical integration and differentiation, solution of differential equations, interpolation, and approximation. Prerequisite: MATH 3540 and MATH 3650 or departmental approval. Offered occasionally.

3620 Number Theory (4 sem. hours). Prime numbers and their distribution, divisibility properties of the integers, Diophantine equations and their applications, theory of congruencies, Fermat’s Theorem, quadratic reciprocity, and the historical background in which the subject evolved. Prerequisite: MATH 2310 or departmental approval. Offered occasionally.

3650 Linear Algebra (4 sem. hours). Systems of linear equations with emphasis on the Gauss-Jordan technique, invertible matrices, determinants, geometric vectors
with applications to analytic geometry, physics, real finite dimensional vector spaces with applications through linear transformations, eigenvectors, eigenvalues, orthogonal diagonalization, and symmetric matrices. Prerequisite: MATH 2230 or departmental approval.

3700-3703 Undergraduate Research (1-4 sem. hours). Research in special areas under the guidance of the instructor. Prerequisite: consent of the instructor.

3750-3753 Selected Topics in Advanced Mathematics (1-4 sem. hours). A study of an area of mathematics that is not covered in regular departmental offerings, or an extension of materials covered in regular departmental offerings. Prerequisite: consent of the instructor.

3850-3853 Internship (1-4 sem. hours). Practical experience and training with selected research, or teaching mathematics. Credit/no credit grading only.

4510 Mathematical Statistics (4 sem. hours). Topics include sample spaces, discrete and continuous probability distributions, independence and conditional probability, properties of distributions of discrete and random variables, moment-generating functions, sampling distributions, and parameter estimation. Prerequisite: MATH 2240 and MATH 2310 or departmental approval.

4620 Abstract Algebra (4 sem. hours). A rigorous treatment of groups, rings, ideals, isomorphisms, homomorphisms, integral domains, and fields. Prerequisite: MATH 2310 or departmental approval.

4630 Advanced Calculus (4 sem. hours). A rigorous treatment of limits, continuity, differentiation, integration, and convergence in n-dimensional Euclidean spaces. Prerequisite: MATH 2310 and MATH 2240 or departmental approval.

4660 Topology (4 sem. hours). Consideration of topological spaces, including metric spaces, product spaces, and quotient spaces; separation axioms; connectedness; compactness; and continuous functions. Prerequisite: MATH 2310 or departmental approval. Offered occasionally.

4750-4753 Selected Topics in Advanced Mathematics (1-4 sem. hours). A study of an area of mathematics not covered in regular departmental offerings that require a high level of mathematical sophistication. Prerequisite: consent of the instructor.

4800 Graph Theory (4 sem. hours). A theoretical study of trees, connectivity, Eulerian graphs, Hamiltonian graphs, planarity, colorability, and extremal graph theory. Prerequisite: MATH 2310 or departmental approval. .Offered occasionally

4810 Complex Analysis (4 sem. hours). Topics include complex numbers, sets, and functions; limits and continuity; analytic functions; Cauchy theorems and integrals; Taylor and Laurent series; residues; and contour integration. Prerequisite: MATH 2310 and MATH 2240 or departmental approval. Offered occasionally.

4902-4912 Senior Seminar (2 sem. hours each). Reading and research in advanced mathematics; group and individual presentations both oral and written; preparation for comprehensive examination; opportunities to expand understanding of topics of interest to the individual student. Prerequisite: senior standing or departmental approval.