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Course Criteria
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3.00 Credits
In-depth study of mathematical content suitable to secondary classrooms. Integrated discussions of student's learning, pedagogy, secondary curricula, National Council of Teachers of Mathematics standards, and relevant research. Requires at least 6 hours of fieldwork in a high school setting, including structured observations or small group teaching of instructor-provided activities. Offered fall semester. Prerequisites: MTH 201 or equivalent and sophomore standing. Graphing calculator required: TI recommended. See your instructor for details.
Prerequisite:
Prerequisites: MTH 201 or equivalent and sophomore standing. Graphing calculator required: TI recommended. See your instructor for details.
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3.00 Credits
Multivariable calculus and vector analysis including the change of variables formula, line integrals, surface integrals, Green's theorem, Stokes' theorem, and the divergence theorem. Applications in physics. Offered winter semester. Prerequisites: MTH 203.
Prerequisite:
Prerequisites: MTH 203.
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4.00 Credits
Matrix algebra and determinants. Introduction to the theory of differential equations. Methods of solution (including Laplace transform techniques) of linear equations, as well as some special types of nonlinear equations. Applications in physical, biological, and social sciences. Offered fall and winter semesters. Prerequisite: MTH 203.
Prerequisite:
Prerequisite: MTH 203.
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3.00 Credits
Solution methods for first order and second order linear equations (including power series and numerical methods). The linear algebra of linear systems and their solutions. Qualitative analysis of linear and nonlinear systems: phase plane; existence and uniqueness; stability, and applications in physical, biological, and social sciences. Offered fall and winter semesters. Prerequisites: MTH 202 and MTH 204.
Prerequisite:
Prerequisites: MTH 202 and MTH 204.
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3.00 Credits
Introduction to the mathematical modeling process. Students will gain experience in the construction, computational implementation, and analysis of mathematical models arising from various applications. Models will be developed in mathematical contexts including linear algebra, calculus, discrete dynamical systems, and differential equations. Prerequisites: CIS 161, or CIS 162, or EGR 112; and MTH 302 or MTH 304; (304 may be taken concurrently).
Prerequisite:
Prerequisites: CIS 161, or CIS 162, or EGR 112; and MTH 302 or MTH 304; (304 may be taken concurrently).
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3.00 Credits
An introduction to cryptography and information security with a focus on applications and issues from diverse areas. Topics will include a study of cryptographic primitives, historical cipher systems, symmetric and public-key cryptography, hash functions, digital signatures, electronic voting, and contemporary issues in privacy and security. Part of Information, Innovation, or Technology Issue. Offered winter semester. Prerequisites: Junior standing and successful completion of any Foundations - Mathematical Sciences course.
Prerequisite:
Prerequisites: Junior standing and successful completion of any Foundations - Mathematical Sciences course.
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3.00 Credits
Basic and advanced counting techniques, including the Pigeonhole Principle and inclusion-exclusion; recurrence relations; partial orderings; and graph theory, special paths, planarity, chromatic number, networks, trees, traversals, and digraphs. Algorithms and proof techniques. Offered fall and winter semesters. Prerequisite: MTH 210.
Prerequisite:
Prerequisite: MTH 210.
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3.00 Credits
Analyze characteristics and properties of geometric objects, transformations and representations, visualization and spatial reasoning, measurement systems and tools, and dynamic geometric software. Integrated discussion of children's learning, curricula, standards, and research for K-8. Fieldwork is focused on lesson design and implementation and includes visits to a local elementary school. Offered at least one semester per year. Prerequisite: MTH 226 or (MTH 210 and EDF 115).
Prerequisite:
Prerequisite: MTH 226 or (MTH 210 and EDF 115).
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3.00 Credits
Analyze data and chance. Gathering, organizing, constructing, and interpreting data displays, distributions and models, making inferences and predictions. Integrated discussions of children's learning, pedagogy, curricula, assessment, standards, and relevant research for K-8. Fieldwork is focused on unit-planning and assessment and includes visits to a local elementary school. (2-0-2) Offered at least one semester per year. Prerequisites: MTH 226 or (MTH 210 and EDF 115).
Prerequisite:
Prerequisites: MTH 226 or (MTH 210 and EDF 115).
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3.00 Credits
Understand the development of algebraic thinking, including patterns, proportions, functions, variables, and algebraic structures. Topics include research on student thinking, representations, teaching methods, school curricula, and national standards. Fieldwork includes at least 6 hours of microteaching and structured observations in grades 5-8, including writing lessons/problems and observing/eliciting students' mathematical thinking. Offered at least one semester per year. Prerequisites: MTH 326 or (MTH 210 and one of: MTH 229, 322, 323).
Prerequisite:
Prerequisites: MTH 326 or (MTH 210 and one of: MTH 229, 322, 323).
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