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Mathematics Courses
Courses | Requirements | Faculty | Mathematics at Jewell
CTI 103. Math Model Building and Statistics. 4 cr. hrs. Formerly GEN 103. For course description see CTI 103 in the Critical Thought and Inquiry section of the 2007-09 Course Catalog.
CTI 104. Applied Calculus and Statistics. 4 cr. hrs. Formerly GEN 104. For course description see CTI 104 in the Critical Thought and Inquiry section of the 2007-09 Course Catalog. This course is equivalent to a Calculus I course and is part of the calculus sequence at William Jewell.
MAT 101. Pre-Calculus. 4 cr. hrs. Basic concepts of precalculus including the study of algebraic and trigonometric functions and limits plus an introduction to the concepts and applications of calculus with particular emphasis on business applications. Students who have credit in CTI 104, MAT 1xx or higher cannot get credit for MAT 101. (Will not count toward a mathematics major). Each semester.
MAT 200. Calculus II. 4 cr. hrs. A continuation of CTI 104. A study of transcendental functions, techniques and applications of integration, improper integrals, sequences and infinite series, topics from analytic geometry, and polar coordinates. Prerequisite: CTI 104 or equivalent, or advanced placement. Spring semester. May be offered fall semester with sufficient demand.
MAT 201. Calculus III. 4 cr. hrs. A continuation of MAT 200. A study of vectors and vector-valued functions, partial differentiation, multiple integration, and topics in vector calculus. Prerequisite: MAT 200 or advanced placement. Fall semester.
MAT 202. Differential Equations. 4 cr. hrs. Ordinary differential equations. Solution of differential equations by operators, power and Fourier series and Laplace transforms included. Prerequisite: MAT 201. Fall semester.
MAT 203. Applied Statistics. 2 cr. hrs. This course builds on the descriptive statistics and statistical inferences for means and proportions covered in GEN 103 and 104. Coverage will include analysis of variance, goodness of fit tests and tests of independence using the chi-squared distribution, and certain non-parametric tests in the context of significant applications and student projects. Students with credit in MAT 216 or BUS 318 will not receive credit in MAT 203. Pre-requisite: GEN 103, GEN 104, or course with an equivalent statistics component.
MAT 281. Applied Linear Algebra. 4 cr. hrs. Development of the algebra and calculus of matrices, introductory theory of vector spaces and eigenvectors with particular attention to topics that arise in applications. Prerequisite: MAT 199 or equivalent. Spring semester, even years.
MAT 301. College Geometry. 3 cr. hrs. A study of Euclidean geometry, finite geometries, and non-Euclidean geometries. Prerequisites: junior standing or consent of instructor. Spring semester.
MAT 305. Introduction to Probability. 4 cr. hrs. An axiomatic study of probability theory, discrete and continuous distributions, multivariate distributions, and runctions of random variables. An emphasis is placed on modeling with distributions. Prerequisite or Corequisite: MAT 201. On demand.
MAT 335. Numerical Analysis. 4 cr. hrs. A study and analysis of the numerical methods of solving algebraic and transcendental equations, ordinary and partial differential equations in integration and other mathematically expressed problems. Prerequisite: MAT 200. Spring semester, odd years.
MAT 347. Abstract Algebra. 4 cr. hrs. An introduction to groups, rings, integral domains and fields. Course material includes LaGrange’s Theorem, isomorphism theorems, Caley’s Theorem, Sylow’s Theorem, polynomia rings and ideals. Prerequisite: MAT 201. Fall semester, even years.
MAT 410. Analysis I. 4 cr. hrs. A rigorous approach to the study of functions, limits, continuity, differentiation and integration of functions of one and several variables. Spring semester, even years.
MAT 443. Complex Variables. 4 cr. hrs. This course is an introduction to the study of complex variables and its applications. Topics studied include: complex numbers, analytic and elementary functions, complex integration and Cauchy’s theorems, sequences, Taylor and Laurent series, residues and poles. Prerequisites: MAT 202 or MAT 281. Spring semester, odd years.
MAT 451. Advanced Mathematics Seminar. 4 cr. hrs. Special topics in advanced mathematics for juniors and seniors to provide advanced study opportunities in analysis, algebra and applied mathematics. On demand.
MAT 490. Independent Study. 1-4 cr. hrs. Approved on- or off-campus projects in independent research and readings by mathematics majors.
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