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Course Criteria
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4.00 Credits
Study of the concepts of differentiation and integration with an emphasis on applications in the life sciences. Topics include elementary functions and graphing, discrete models, discrete population models, limits, continuous functions, derivatives, differentiation with biological applications, linear approximation, optimization, difference equations, stability, and integration with biological applications.
Corequisite:
A grade of C or better in MATH 1404 or 1505 or placement by exam taken at UH-Downtown
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4.00 Credits
Topics include integration, approximation by Taylor series, differential equations, matrices, eigenvalues and eigenvectors, functions of several variables, partial derivatives, tangent planes and linearization, systems of difference equations, systems of linear and nonlinear differential equations, and equilibria and stability.
Corequisite:
A grade of C or better in MATH 2411 or 2401
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4.00 Credits
Study of one or more major topic in sophomore-level mathematics. May be repeated for credit when topic varies.
Corequisite:
Department approval
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1.00 Credits
Study of one or more major topics in junior-level mathematics. May be repeated for credit when topic varies.
Corequisite:
Department approval
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2.00 Credits
Study of one or more major topics in junior-level mathematics. May be repeated for credit when topic varies.
Corequisite:
Department approval
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3.00 Credits
Ordinary differential equations, with emphasis on methods of solution of first order equations, homogeneous and non-homogeneous linear equations and systems of linear equations. Power series solutions of some linear equations and elementary applications are also covered.
Corequisite:
A grade of C or better in MATH 2401and MATH 2402. Credit or enrollment in MATH 2407 is recommended
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3.00 Credits
Probability and statistics useful for science and engineering applications. Topics include: probability distributions, statistical inference, estimation, testing of hypotheses, linear regression and analysis of variance. Standard statistical packages are used. Credit may not be earned for both MATH 3302 and STAT 3309.
Corequisite:
A grade of C or better in MATH 2402
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3.00 Credits
Topics selected from: properties of angles, lines, triangles, polygons, polyhedra, circles, similarity and congruency of triangles, area perimeter, surface area, volume geometric constructions, transformations, tessellation, investigating patterns in geometry for problem solving, the Pythagorean Theorem, the coordinate plane and an introduction to geometric proofs. This course is primarily designed for students in the Teacher Preparation program.
Corequisite:
A grade of C or better in MATH 1301 and junior standing
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3.00 Credits
Rigorous treatment of modern algebra topics including group theory (elementary properties, direct products, cosets, isomorphisms, homomorphisms, factor groups) and introduction to rings and fields. Applications include coding, permutation groups, symmetry and polynomial rings.
Corequisite:
A grade of C or better in MATH 2405 and MATH 2407
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3.00 Credits
Rigorous treatment of real analysis topics including properties of the real numbers, sequences and series of real numbers, limits, continuity and differentiability of functions, sequences and series of functions and the Riemann integral.
Corequisite:
A grade of C or better in MATH 2407 and MATH 2402
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