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Course Criteria
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1.00 Credits
May be repeated to a maximum of nine semester hours.
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1.00 Credits
Prerequisites: LNW 3211, LNW 3323, and instructor permission. Intensive work by a small number of undergraduates on a specific topic or research problem in Latin studies. May be repeated as topics vary to a maximum of six semester hours.
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3.00 Credits
Prerequisites: MAC 2313, MAS 3105, and prior experience with mathematical proofs from MGF 3301 or MAD 2104 or other proof-based courses. Not open to students with credit in MAA 4226. A rigorous treatment of elementary calculus. Topics include the completeness of the real numbers, sequences and series, limits and continuity, derivatives, integrals, the Fundamental Theorem of Calculus, and sequences and series of functions.
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3.00 Credits
Prerequisites: MAC 2313, MAS 3105, and prior experience with mathematical proofs from MGF 3301 or MAD 2104 or other proof-based courses. Functions, sequences, limits; continuity, uniform continuity; differentiation; integration; convergence, uniform convergence. For strong students with adviser approval only.
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3.00 Credits
Prerequisite: MAA 4226. This course is a continuation of MAA 4226.
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3.00 Credits
Prerequisite: MAC 2313. Analytic functions, Cauchy-Riemann conditions; complex integration, Cauchy's theorem and integral formula; power series, analytic continuation, Riemann surfaces; residues and applications; conformal mapping.
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1.00 - 3.00 Credits
Prerequisite: Instructor permission. Special topics course. May be repeated to a maximum of twelve semester hours. May be repeated within the same semester.
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3.00 Credits
Prerequisite: MAT 1033 with a grade of "C–" or better or a suitable mathematics examination placement score. Recommended background: two years of high school algebra. On basis of test scores the student may be required to take a community college course before MAC 1105. Review of algebraic operations, equations, and inequalities; functions and functional notation; graphs; inverse functions; linear, quadratic, rational function; absolute value; radicals; exponential and logarithmic functions; system of equations and inequalities; applications.
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2.00 Credits
Prerequisite: MAC 1105. Trigonometric functions, inverse trigonometric functions and their graphs; identities and conditional equations; solution of triangles; trigonometric form of complex numbers; DeMoivre's theorem and nth roots; introduction to plane vectors.
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3.00 Credits
Prerequisite: MAC 1105 or suitable mathematics examination placement score. May be taken concurrently with MAC 1114. The course covers functions and graphs, especially higher degree polynomial, rational, exponential, and logarithmic functions; systems of equations; solution of linear systems, matrix methods; determinants; sequences and series, induction; and the binomial theorem. The course also explores applications, approximation, and methods of proof.
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