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Murphy, Boyd
*Alternate year course
MA101 Intermediate Algebra (3 hours)
Designed for students needing to meet the prerequisite for MA102. Topics include expressions, solving equalities and inequalities, functions, graphs of functions, and systems of equations. No credit will be given to those who have passed College Algebra/Trigonometry or a calculus course. Prerequisites: High school Algebra I with a grade of at least a B, Math ACT score of 16, or a grade of C or better in AS099 (see Academic Support).
MA102 College Algebra/Trigonometry (4 hours)
Designed both as an end course for those students needing College Algebra as a requirement for their major and as preparation for those students needing MA130 who have not met the prerequisite. Topics include inequalities, logarithms, theory of equations, systems of equations by determinants, complex numbers, trigonometric functions, graphs, and identities. No credit will be given to those who have passed a calculus course. A graphing calculator is required: the TI-83 Plus or TI-84 Plus is recommended. Any calculator that performs symbolic manipulation will not be allowed. Prerequisite: Math ACT score of 20, or MA101 with a grade of C or better.
MA120 Elementary Statistics (3 hours)
Sample data, frequency distribution, sampling, estimation, testing hypotheses, correlation, regression. Prerequisite: Math ACT score of 16 or a grade of C or better in AS099.
MA130 Analytic Geometry and Calculus I (4 hours)
This is the normal entry-level course into college mathematics designed for students interested in the sciences, mathematics, and other areas requiring a good math background. Topics include limits, differentiation of the polynomial and trigonometric functions, the rules of differentiation for sums, products, quotients, and compositions, applications of the derivative to find slopes, extrema, concavity, and related rates, integration, and applications of integration such as area, work volumes, and pressure. A graphing calculator is required: the TI-83 Plus or TI-84 Plus is recommended. Any calculator that performs symbolic manipulation will not be allowed. Prerequisites: High school course involving advanced mathematics and trigonometry, a level above Algebra II with a grade of at least a B, or MA102 with a grade of C or better.
MA225 Mathematics for Elementary Teachers (4 hours)
The nature and logical structure of the real number system, concepts of elementary algebra and geometry, introductory probability and statistics, problem solving. (Limited to enrollment by elementary education majors).
MA227* Topics in Geometry (3 hours)
Exposure to geometric systems different from the standard Euclidean geometry of high school. Designed for students preparing to teach middle and secondary mathematics, the course will cover axiomatic development of geometric systems, formal and informal proofs in Euclidean geometry, properties to two and tree-dimensional figures, and transformations. Some topics of non-Euclidean geometries will be investigated. Prerequisite: MA102 College Algebra/Trigonometry and high school geometry.
MA230 Analytic Geometry and Calculus II (4 hours)
Differentiation and integration of logarithmic, exponential, and inverse trigonometric functions including applications, techniques of integration, polar coordinates, conic sections, indeterminate forms, improper integrals, Taylor’s Formula, infinite series. A graphing calculator is required: the TI-83 Plus or TI-84 Plus is recommended. Any calculator that performs symbolic manipulation will not be allowed. Prerequisite: MA130 with a grade of C or better.
MA231 Analytic Geometry and Calculus III (4 hours)
Vectors in the plane and parametric equations; vectors in three-dimensional space and solid analytic geometry, differential calculus of functions of several variables; multiple integration. A graphing calculator is required: the TI-83 Plus or TI-84 Plus is recommended. Any calculator that performs symbolic manipulation will not be allowed. Prerequisite: MA230 with a grade of C or better.
MA250* History of Mathematics (Interterm Course) (2hours)
A survey of the development of mathematics from ancient times to modern, this course is designed to meet Kansas State Department of Education’s Standards for the Mathematics Teaching Major 6-12 and Mathematics Teaching endorsement for Teacher Certification 5-8. Prerequisite: MA130 Analytical Geometry and Calculus I with a grade of C or better. Offered Interterm 2010, ’12, ’14.
MA305* Mathematics for the Physical Sciences (3 hours)
This course is intended for students who want to develop a basic mathematical competence in such areas as chemistry, physics, and engineering. It derives mathematical formulae and procedures used in various applied fields and illustrates them through problem solving. Prerequisite: MA231 with a grade of C or better, Analytic Geometry and Calculus III.
MA342* Discrete Mathematics (3 hours)
Designed to teach the student, via applications, how to go about solving problems. Topics covered include logic, set theory, mathematical induction, relations and functions, combinatorics, and graph theory. Prerequisite: MA230 with a grade of C or better.
MA350* Differential Equations (3 hours)
An introduction to ordinary differential equations: solutions to equations of order one, linear equations, the Laplace transform, power series solutions, and selected applications. Prerequisite MA230 with a grade of C or better.
MA360* Linear Algebra (3 hours)
Vectors, vector spaces, systems of linear equations, linear transformations, matrices, determinants. Prerequisite: MA230 with a grade of C or better.
MA361* Abstract Algebra (3 hours)
Introduction to sets, number systems, integral domains, fields, and groups. Prerequisite: MA230 with a grade of C or better.
MA382* Number Theory (3 hours)
Designed to cover the fundamental topics of classical number theory including the integers, divisibility, prime numbers, congruencies, Feimat’s Theorem, quadratic reciprocity, certain numerical functions, Diophantine equations. Prerequisite: MA230 with a grade of C or better.
MA390* Real Analysis (3 hours)
Axioms of the real numbers, functions, limits, continuity, differentiation, sequences. Prerequisite: MA230 with a grade of C or better.
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