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Course Criteria
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3.00 Credits
A basic introduction to numerical analysis and scientific computing. Topics which will be studied include: Computer arithmetic, approximation and interpolation of functions, numerical quadratures, solutions of linear systems by direct methods, numerical solutions of nonlinear scalar equations, numerical differentiation, introduction to one step methods for the numerical solution of ordinary differential equations.
Prerequisite:
MAT 325 requires a prerequisite of MAT 162 with a "C" or better.
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3.00 Credits
Geometric foundations from an advanced viewpoint. Topics are chosen from euclidean and noneuclidean geometrics.
Prerequisite:
MAT 331 requires prerequisite of C or better in MAT 162.
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3.00 Credits
Classical differential geometry from a modern viewpoint. Curves and surfaces and shape operators. Introduction to Riemann geometry.
Prerequisite:
MAT 332 requires a prerequisite of C or better in MAT 200, MAT 261, and MAT 331.
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3.00 Credits
The general theory of nth order, and linear differential equations including existence and uniqueness criteria and linearity of the solution space. General solution techniques for variable coefficient equations, series solutions for variable coefficient equations, and study of systems of linear equations.
Prerequisite:
MAT 343 requires a prerequisite of C or better in MAT 162 and MAT 311.
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3.00 Credits
In-depth treatment of current pedagogical strategies and materials for teaching concepts, including: early number sense; place value; addition, subtraction, multiplication, and division of whole numbers; and fractions in an elementary classroom.
Prerequisite:
MAT 351 requires prerequisites of MAT 101 and MAT 102.
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3.00 Credits
A continuation of the pedagogical strategies and methods for teaching the topics covered in MAT 351 extended to topics such as real numbers, geometry, percent, proportional reasoning, measurement, and algebra.
Prerequisite:
MAT 352 requires prerequisites of MAT 351, field clearances, and Teacher Candidacy.
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3.00 Credits
Techniques for teaching children mathematical concepts in the middle school standards. Topics covered include number, algebra, geometry, and probability and statistics.
Prerequisite:
MAT 353 requires prerequisites of MAT 121, MAT 351, field clearances, and Teacher Candidacy, as well as corequisites of MAT 312 and MAT 313.
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2.00 Credits
Teacher candidates enrolled in this course will develop and apply the knowledge, skills and dispositions needed to be an effective teacher of mathematics at the elementary level. This course will provide supportive and authentic learning experiences in local classrooms with practicing teachers. Teacher candidates will integrate content and pedagogical knowledge to develop instructional and assessment techniques that support all learners in mathematics.
Prerequisite:
MAT 361 requires prerequisites of MAT 101 and MAT 102 and a corequisite of MAT 351.
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3.00 Credits
The purpose of this course is to introduce the mathematical theory behind the concepts of: measurement of interest, annuities, yield rates, amortization of loans, sinking funds, and yield rates. Understanding the fundamental concepts of financial mathematics, and how these concepts can be applied to calculate present and future values of various financial instruments, is the prevailing theme of the course.
Prerequisite:
MAT 371 requires a prerequisite of C or better in MAT 162.
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3.00 Credits
This course is the capstone course for grades 4-8 certification students completing the 30-credit mathematics certification option. Topics selected from mathematics, statistics, the history of mathematics, and mathematics education for their significance and interest. Field experience may be required.
Prerequisite:
MAT 390 requires a prerequisite of Teacher Candidacy.
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