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A general prerequisite for all mathematical sciences courses (except MA 103 and CS 100-G) is that each student has satisfactorily met the Tabor College mathematical competency requirement. The Cooperative Department of Mathematical Sciences requires a student to have achieved at least a C grade in any prerequisite before going on to the next course.

For a full list of concentrations and corresponding course requirements, download our complete catalog.

**MA 103 Basic Mathematics/3**

Subject matter includes elementary algebra and flow charts. The student acquires some technical competence in computer use to aid in solving elementary practical problems. Does not meet Core Curriculum requirement. Spring semester.

**MA 104 Intermediate Algebra/3**

Emphasis on using simple mathematical operations to explore polynomials, linear equations and inequalities, quadradic equations, exponential and logarithmic functions, and graphs of each. Prepares students to take MA 105, MA 106, MA 221, and MA 222. This course does not meet the Core Curriculum deductive reasoning requirement. Fall semester.

**MA 105-G College Algebra/3**

A study of elementary concepts of sets, logic, linear and nonlinear relations, algebraic functions and their graphical representations, matrices and determinants, and mathematical induction. Prerequisite: Algebra II in high schoolor MA 104. Fall semester.

**MA 106-G Precalculus/5**

A detailed study and analysis of algebraic and transcendental functions. Includes their properties, related analytic geometry, limits, continuity, propositional logic, sets, relations, and functions. Prerequisite: Algebra II in high school or MA 104. Fall semester.

**MA 114-G Calculus I/4**

Logic, sets, relations and functions. An introduction to limits, the derivative, and the Riemann integral for algebraic and elementary transcendental functions.. Prerequisite: Four years of high school mathematics, MA 106-G, or consent of instructor. Fall semester.

**MA 203-G Discrete Mathematics/3**

Covers topics in mathematics which are especially useful in computer science: logic, functions and relations, combinatorics, trees, analysis of algorithms, and elementary modern algebra. Prerequisite: MA 106-G. Interterm.

**MA 204-G Nature of Mathematics/4**

A course designed to acquaint the students with the nature, philosophy, methodology, significance, and use of mathematics from ancient times to the present and in various cultural contexts. The concept of a mathematical system is emphasized. The following topics are included: inductive/deductive reasoning, logic, set theory, concepts, and relations in number theory, numeration systems, probability, and statistics. This course is required of all prospective teachers preparing for licensure in the state of Kansas. Prerequisite: Successful completion of mathematics competency requirements. Fall semester.

**MA 205 Mathematics for Elementary Teachers/4**

This is a continuation of MA 204-G and is required of those preparing to teach kindergarten through sixth grade. The course will include topics from algebra, geometric figures and their properties, transformational geometry, analytic geometry, contrast of Euclidean and non-Euclidean geometries, measurement, representations of algebraic and geometric situations/solutions. Students will be encouraged to recognize patterns, and form and test conjectures. Prerequisite: MA 204-G. Spring semester.

**MA 206 Linear Algebra/3**

This course comprises an in-depth study of vectors, matrices and vector spaces, including systems of equations, vector methods, eigenvectors and eigenvalues, linear independence, dimension and linear transformations. Prerequisite: MA 114-G. Interterm.

**MA 214 Calculus II/4**

A continuation of MA 114-G,includes methods and applications of integration, indeterminate forms, parametric and polar equations, and sequences and series. Prerequisite: MA 114-G or MA 203-G. (If Calculus I was not taken at Tabor College, the student must take MA 203-G before enrolling in MA 214.) Spring semester.

**MA 221-G Elementary Statistics/4**

This course includes both discrete and inferential statistics, probability, binomial, normal and chi-squared distributions, tests of hypotheses, confidence intervals, regression, and correlation. A statistical package is used throughout the course. Recommended for students in biology, environmental studies, pre-nursing, economics, business, psychology, and sociology. Prerequisite: One of the following two courses: Plane Geometry or Algebra II, and Mathematics ACT score of 19, Mathematics SAT score of 460, or consent of instructor. Spring semester.

**MA 222-G Finite Mathematics and Calculus/4**

Combinatorial analysis. Matrices and applications. Linear programming. Derivatives and integrals with applications. With MA 221-G this course provides the mathematics recommended for students in the social and biological sciences. Prerequisite: Algebra II in high school or MA 104.

**MA 225 Statistical Reasoning/1**

A course for students whose transfer of statistics does not meet deductive reasoning standards, this course will cover topics in basic logic, basic set theory, probability (including Bayes’ Theorem) and the Central Limit Theorem. Spring and fall semesters.

**MA 301 Multivariable Mathematics/4**

A continuation of MA 214-G, this course is a generalization of Calculus concepts to multidimensional spaces. Topics include multidimensional limits, continuity, differentiation, and integration, also includes discussion of the grad, div, curl, and Laplace operators with the goal of reaching Green’s and Stokes’ theorems by the end of the semester. Prerequisite: MA 214-G. Fall semester.

**MA 311 Advanced Analysis/4**

Fundamental concepts of analysis, functions of bounded variation, integration, sequences of functions. Fourier series and functions of a complex variable. Prerequisite: MA 301. Fall semester, odd-numbered years.

**MA 312 Topics in Advanced Analysis/1-3**

A continuation of MA 311, demanding independent work by the students. Spring semester, even-numbered years.

**MA 321 Applied Mathematics for the Physical Sciences/4**

A continuation of MA 301. Differential equations, Laplace transforms, and Fourier series. Prerequisite: MA 301. Spring semester.

**MA 341 Modern Geometry/4**

A survey course which includes selected topics in Euclidean geometry, projective geometry, non-Euclidean geometry, foundations of geometry, and convex figures. Prerequisite: MA 301. Interterm, odd-numbered years.

**MA 371 Operations Research/3**

Mathematical techniques used in systems analysis including linear programming, dynamic programming, probability models, game theory, optimization, and statistical techniques. Prerequisite: MA 214 or MA 222-G, CS 150-G, or CS 201-G. Spring semester, odd-numbered years.

**MA 411 Modern Algebra/4**

Groups, rings, polynomial rings, fields, vector spaces, and modules. Prerequisite: MA 301. Fall semester, even-numbered years.

**MA 412 Topics in Modern Algebra/1-3**

A continuation of MA 411, demanding more independent work by the student. Topics include field extensions and canonical forms. Spring semester, odd-numbered years.

**MA 420 Readings/Research/1-3**

The writing of a major paper based on a program of assigned readings. Students preparing for a career in secondary education will trace the historical development of a mathematical topic. Fall and Spring semesters.

**MA 441 Combinatorics and Graph Theory/3**

Directed graphs, trees, circuits, paths, network flows, basic combinatorics, generating functions, and difference equations. Emphasis on applications and use of computer in problem solving. Prerequisite: MA 214. Interterm, even-numbered years.

**MA 462 Mathematical Theory of Statistics/4**

Significance tests, the theory of estimation, theory of hypothesis testing, and elements of sequential analysis. Prerequisite: MA 301. Spring semester, even-numbered years.