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Course Criteria
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0.00 Credits
No course description available.
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4.00 - 5.00 Credits
First semester: limits, derivatives, and integrals; continuous and differentiable functions, mean value theorem, chain rule, implicit differentiation. Applications: curve sketching, maxima and minima, related rates, motion, area. Trigonometric, inverse trigonometric, logarithmic and exponential functions. Second semester: methods of integration, area, moments, volume. Indeterminate forms, improper integrals, sequences and series. Parametric equations, arc length and polar coordinates.
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3.00 - 5.00 Credits
No course description available.
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0.00 - 4.00 Credits
No course description available.
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0.00 - 5.00 Credits
Limits and continuity in Euclidean spaces; partial derivatives, gradient, and chain rule; maxima and minima with constraints; multiple integrals, cylindrical and spherical coordinates; vector calculus; theorems of Green, Gauss, and Stokes.
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3.00 - 3.50 Credits
Real numbers; theorems on limits; continuous, differentiable, and integrable functions; sequences and series of functions; metric space methods, fixed points, existence Theorems for differential equations; implicit function theorem.
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3.00 Credits
Real numbers; theorems on limits; continuous, differentiable, and integrable functions; sequences and series of functions; metric space methods, fixed points, existence Theorems for differential equations; implicit function theorem.
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3.00 Credits
Analytic functions, Cauchy-Riemann equations, Cauchy integral formula, residue theory, conformal mappings. Prerequisite: MATH 1520 or permission of the instructor.
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3.00 Credits
Analytic functions, Cauchy-Riemann equations, Cauchy integral formula, residue theory, conformal mappings. Prerequisite: MATH 1520 or permission of the instructor.
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0.00 - 3.00 Credits
No course description available.
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