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Course Criteria
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5.00 Credits
A thorough treatment of the elementary functions and their graphs including polynomials, rational functions, exponential functions and logarithms, and trigonometric functions. Applications of the elementary functions to practical problems. Topics from trigonometry include fundamental identities, radian measure, graphing, inverse trigonometric functions and solving triangles and trigonometric equations. Topics from plane analytic geometry needed in calculus are also covered including vectors, polar coordinates, conic sections and parametric curves . Concludes with an introduction to sequences and series.
Corequisite:
Department approval and a grade of B or better in MATH 1301
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1.00 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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2.00 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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3.00 Credits
This is a problem-solving applied mathematics and programming course that involves modeling, simulation, and visualization in a computer algebra system (CAS) to be chosen by the instructor (MATLAB, Maple, or Mathematica). No prior knowledge of a CAS is necessary. Students will be introduced to the CAS as a useful tool in computational mathematics, and will use it to implement and solve problems covering a wide range of applications.
Corequisite:
A grade of C or better in CS 1410 and credit or enrollment in MATH 2401
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3.00 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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4.00 Credits
Functions, limits, the derivatives of algebraic and trigonometric functions, curve sketching, applications of the derivative and an introduction to the definite and indefinite integrals of algebraic and trigonometric functions. (MATH 2413)
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 differentiation and integration of transcendental functions, techniques of integration, improper integrals and applications of the integral, sequences and infinite series. (MATH 2414)
Corequisite:
A grade of C or better in MATH 2401
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4.00 Credits
Solid analytic geometry, partial derivatives, multiple integrals and line integrals. Applications of the calculus of functions of several variables are also considered. (MATH 2415)
Corequisite:
A grade of C or better in MATH 2402
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4.00 Credits
Topics include sets, relations, and functions, logic, methods of proofs, induction and recursion, counting principles, combinatorics and graphs with emphasis on applications. (MATH 2405)
Corequisite:
Grade of C or better in MATH 1305 or MATH 1404 or MATH 1505 or placement by exam taken at UH-Downtown and credit or enrollment in CS 1305 or CS 1408 or CS 1410
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4.00 Credits
An introduction to the basic concepts of linear algebra including systems of linear equations, matrices, vector spaces, linear transformations, determinants, eigenvalues, eigenvectors, orthogonality and applications.
Corequisite:
A grade of C or better in MATH 2401 or MATH 2305 or placement by exam taken at UH-Downtown
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