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MATH 5010: Technology for Teaching Mathematics
3.00 Credits
Utah State University
Students will learn to use technology for teaching and learning mathematics and they will deepen their understanding of topics in geometry and functions through technology-enhanced investigation. Prerequisite/Restriction: C- or better in MATH 3310
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MATH 5020: Mathematical Cognition and Assessment of Mathematical Achievement
3.00 Credits
Utah State University
Pre-service and inservice mathematics teachers (1) examine cognitive principles relevant to learning mathematics, (2) apply research-based principles for designing, validating, and interpreting measures of mathematical achievement, and (3) interpret the results of standardized and high-stakes tests, and communicate those results to mathematics students and their parents. Prerequisite/Restriction: Completion of an upper-level mathematics or statistics course (3000-level or higher).
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MATH 5020 - Mathematical Cognition and Assessment of Mathematical Achievement
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MATH 5110: Differential Geometry
3.00 Credits
Utah State University
This course provides an introduction to the geometry of curves and surfaces in three dimensions using graphic and symbolic software. Prerequisites/Restrictions: All prerequisite courses require a grade of C- or better. MATH 2210 MATH 2270 MATH 4200 or MATH 4310 or MATH 5340 All of the above, or instructor permission
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MATH 5210: Introduction to Analysis I
3.00 Credits
Utah State University
One and several variable calculus from an advanced point of view. Proofs of all main theorems in calculus. Prerequisite/Restriction: C- or better in MATH 4200 or MATH 5510.
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MATH 5210 - Introduction to Analysis I
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MATH 5220: Introduction to Analysis II
3.00 Credits
Utah State University
Continuation of MATH 5210. Rigorous development of multivariable advanced calculus. Prerequisite/Restriction: C- or better in MATH 5210.
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MATH 5270: Complex Variables
3.00 Credits
Utah State University
Basic theory and applications of complex variables for mathematics, physics, and engineering students. Topics include analytic functions, contour integration, and residue theorem conformal mappings. Prerequisite/Restriction: C- or better in MATH 2210 and MATH 2250; or C- or better in MATH 2210, MATH 2270, and MATH 2280.
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MATH 5310: Introduction to Modern Algebra
3.00 Credits
Utah State University
Continuation of MATH 4310. Topics include: Sylow theory for finite groups, factorization theory for commutative rings, and Galois theory. Prerequisite/Restriction: C- or better in MATH 4310.
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MATH 5340: Theory of Linear Algebra
3.00 Credits
Utah State University
Vector space theory, linear transformations and matrices, eigenvalues and eigenvectors, inner product spaces, orthogonality, canonical forms, and Hermitian matrices. Prerequisite/Restriction: C- or better in MATH 2270; or C- or better in MATH 4310; or instructor permission.
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MATH 5410: Methods of Applied Mathematics
3.00 Credits
Utah State University
This course introduces traditional approaches in applied mathematics, including dimensional analysis, the Buckingham Pi Theorem, perturbation methods and successive approximation to solutions of differential equations, singular perturbations and boundary layer problems, variational methods and the Euler-Lagrange equation, and Hamiltonian systems. Prerequisite/Restriction: 2210 with a C- or better 2250 or 2270/80 with a C- or better
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MATH 5420: Partial Differential Equations
3.00 Credits
Utah State University
This course emphasizes the understanding and solution of physically relevant partial differential equations. Topics include derivation and analysis of the transport; diffusion, wave, and Laplace equations; the method of characteristics; eigenfunctions/Fourier series; transform methods; and fundamental solutions. Prerequisite/Restriction: MATH 2250 or MATH 2280 with a C- or better
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