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Course Criteria
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4.00 Credits
Required for Biology majors. Not open to Mathematics majors. A study of functions of one variable; derivatives, integrals and their applications to Biological Sciences and Business. Special attention will be given to exponential functions with respect to growth and decay applications. Topics of multi-variable calculus will also be included. Credit, 4 semester hours. PREREQ: MAT 1070 or MAT 1090 or equivalent.
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4.00 Credits
Study of functions of one variable, topics from analytic geometry, limits and continuity; differentiation of algebraic functions; curve sketching; various applications chosen from physics, economics, and optimization. Credit, 4 semester hours. PREREQ: MAT 1070 and MAT 1080, or MAT 1090, or equivalent.
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4.00 Credits
A study of integrals, the definite integral, the fundamental theorem of the calculus, applications of the definite integral. The derivative and integral of exponential, logarithmic, trigonometric and inverse trigonometric functions; and techniques of integration. Credit, 4 semester hours. PREREQ: C or better in MAT 2210.
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3.00 Credits
Introduction to set theory, elementary concepts of the topology of the real line and the plane, elementary logic, and techniques of proof. Credit, 3 sem. hours. PREREQ: MAT 2210 or 2150.
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2.00 Credits
Designed to provide an overview of mathematics in the secondary school and early experiences for prospective mathematics teachers. These experiences include a planned program of observational and participatory experience in the mathematics classroom. Credit, 2 semester hours. PREREQ: EDN 3020, MAT 2210 or 2150.
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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 calculus-related topics. 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. PREREQ/COREQ: MAT 2220.
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3.00 Credits
An introduction to the theory of vector spaces, linear transformations, systems of linear equations, matrices, inverses, rank, determinants, inner products. Applications of matrices to problems involving systems of equations. Credit, 3 semester hours. PREREQ: MAT 2210 or 2150.
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3.00 Credits
Eigenvalues and eigenvectors, similarity of matrices, reduction of matrices to diagonal form. Cayley Hamilton theorem, minimum polynomial, Jordan canonical form. Hermitian, unitary, and normal matrices, orthonormal basis, Gram Schmidt process. Simplification of quadratic forms and other applications. Credit, 3 semester hours. PREREQ: MAT 3150.
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3.00 Credits
Introduction to groups, integral domains, rings and fields, with further study of subgroups, cyclic groups, groups of permutations, isomorphisms and homomorphisms of groups, direct products, and factor groups. Credit, 3 semester hours. PREREQ: MAT 2300; PREREQ or COREQ: MAT 3150.
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3.00 Credits
Further topics in group theory; rings, integral domains, fields, ideals, quotient rings, homomorphisms, direct sums, polynomial rings, extension fields. Credit, 3 semester hours. PREREQ: MAT 3250.
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