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Course Criteria
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3.00 Credits
An introduction to the solution of mathematical problems by computational techniques, including both finite and iterative methods and error analysis. Credit, 3 semester hours. PREREQ: MAT 3150, 3310, and one high-level programming language.
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3.00 Credits
Probability, sample spaces, counting techniques, random variables, discrete and continuous distribution functions, characteristics functions. Binomial, Poisson, and normal distributions. Central limit theorems. Credit, 3 semester hours. PREREQ: MAT 2220.
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3.00 Credits
Introduction to common theoretical distributions, central limit theorems, two dimensional random variables, sampling distributions, confidence intervals, hypothesis testing, regression theory and applications. Credit, 3 semester hours. PREREQ: MAT 3310, 3280.
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4.00 Credits
A continuation of Calculus I and II from an advanced viewpoint. L'Hospital's rule, improper integrals,Taylor's theorem, infinite series. Multi-variable calculus: limits, continuity, partial derivatives, extrema, iterated integrals, and applications. Credit, 4 semester hours. PREREQ: C or better in MAT 2220.
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3.00 Credits
An introduction to ordinary differential equations including classification of solutions to differential equations, existence and uniqueness of solutions, power series methods, initial value problems, and applications. Credit, 3 semester hours. PREREQ: MAT 3310.
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2.00 Credits
The application of computer software and other technologies specifically used in the mathematics classroom, with their inclusion in appropriate lesson plans. Classroom management of instructional technology will be emphasized. This course is designed as a preservice course for teachers and may not be used as an advanced MAT or CSC requirement. Credit, 2 semester hours. PREREQ: Permission of instructor.
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1.00 Credits
This seminar course is designed to help mathematics and mathematics education majors connect and deepen their mathematical understandings of proof. Emphasis will be placed on research and communication of mathematical ideas. Major course work will include production of portfolio artifacts that represent the major's development of understanding in the mathematics curriculum. Credit, 1 semester hour. Prerequisites: MAT 2300, 2600; PREREQ/COREQ 3150.
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3.00 Credits
Presents modern techniques, methods, materials, and assessment practices in the teaching of mathematics. Directed observation in middle or high school mathematics classes. Laboratory work provides experience in developing lesson plans that utilize materials and methods appropriate for classroom use. NOTE: This course should precede teaching internship by no more than one academic year. Credit, 3 semester hours. PREREQ: MAT 2500.
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3.00 Credits
A study of the development of mathematics in its historical setting from its earliest beginnings to modern times. Note: This course may not be used as an Advanced Mathematics requirement for the major in Mathematics. Credit, 3 semester hours. PREREQ: MAT 2210 or 2150.
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3.00 Credits
A rigorous development of metric and synthetic approaches to Euclidean and non-Euclidean geometries using an axiomatic format. Similarities and differences among definitions, axioms, theorems, and postulates of non-Euclidean geometries will be considered. The relationship of these geometries to Euclidean geometry will also be studied. Credit, 3 semester hours. PREREQ: MAT 2300; PREREQ or COREQ: MAT 3150.
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