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Course Criteria
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3.00 Credits
Vector spaces, systems of linear equations, linear transformations, matrices, determinants, eigenvalues and eigenvectors. Prerequisite: Sophomore standing, MTH 235 (may be taken concurrently). Offered fall term.
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0.00 - 1.00 Credits
The beginning of the transition from student of mathematics to teacher of mathematics. Students successfully completing this course will: 1) understand philosophically the difference between teacher and student of mathematics, and 2) be capable of determining the difference between traditional Euclidean geometry topics for junior high/middle school and secondary students. Generally taken during the sophomore year. Offered spring term.
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0.00 - 1.00 Credits
An examination of options and topics appropriate for seventh, eighth, and ninth grade mathematics courses. Students successfully completing this course will: 1) be able to determine topics appropriate for general mathematics courses at the junior high level, 2) be able to organize topics for pre-algebra preparation, and 3) become familiar with pedagogy for students of varying abilities. Generally taken during the junior year. Offered fall term.
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0.00 - 1.00 Credits
An examination of algebra topics from beginning to advanced algebra. Students successfully completing this course will: 1) understand appropriate pedagogy for beginning algebra students, 2) be able to assess the background of students entering their first full year of algebra, and 3) determine how to integrate algebra into other mathematics courses. Generally taken during the junior year. Offered spring term.
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4.00 Credits
A selection of topics not covered in Mathematics 323, 324, or 325. Various teaching approaches and methods are examined. Changes that are continually occurring in mathematics education are discussed and appropriate techniques for the teaching of mathematics in the public schools are presented, including teaching from a constructivist point of view, becoming familiar with the vanHiele levels of learning geometry, observing master teachers, and utilizing and integrating technology. Many of the ideas are examined from the viewpoint of the National Council of Teachers of Mathematics. Prerequisite: MTH 323, 324, and 325, enrolled in professional term, or permission. Offered fall term.
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3.00 Credits
First-order equations, linear differential equations, series solutions, systems of linear differential equations, Laplace transforms, applications. Prerequisite: MTH 236.
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3.00 Credits
A study of the models of combinatorial mathematics including graphs, digraphs, trees, recurrence relations, and generating functions. Students who successfully complete this course will be able to use these models in solving problems. Prerequisite: MTH 250. Offered alternate fall terms.
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3.00 Credits
A study of complex numbers, functions of a complex variable, complex limits, complex differentiation and integration, series, residues and poles. Students successfully completing this course will demonstrate a mastery of the fundamentals by performing a wide variety of computations which develop the concepts and apply the techniques developed in the course. Prerequisite: MTH 236 and 250. Offered alternate fall terms.
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4.00 Credits
An examination of differentiation and integration techniques appropriate for functions of multiple variables. Students successfully completing this course will be able to: 1) conceptually understand the multiple-variable expansion of single-variable calculus concepts, 2) apply these multivariate concepts to a variety of theoretical and real-life questions and 3) decisively utilize paper/pencil and technology-based problem-solving techniques. Prerequisite MTH 236. Offered spring terms.
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3.00 Credits
Divisibility, congruences, primitive roots, quadratic residues, Diophantine equations, continued fractions. Prerequisite: MTH 236 and 250. Offered alternate spring terms.
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