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Course Criteria
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4.00 Credits
Boolean algebra and predicate calculus; proof methods; sets, functions and relations; combinatorics; graph theory and algorithms; mathematical induction and recursion; probability and average case analysis of algorithms. (See COM 1504.) (lecture: 3 hours; lab: 2 hours)
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4.00 Credits
Vectors, vector functions and curves; functions of several variables, partial derivatives; multiple integrals, Jacobians; vector fields, line and surface integrals; theorems of Green, Gauss, and Stokes.
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0.00 - 4.00 Credits
No course description available.
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3.00 Credits
Real numbers, limits, intrinsic properties of continuous functions, differentiability and integrability, uniform convergence, implicit and inverse function theorems, point-set topology, metric spaces, curves and surfaces.
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3.00 Credits
Real numbers, limits, intrinsic properties of continuous functions, differentiability and integrability, uniform convergence, implicit and inverse function theorems, point-set topology, metric spaces, curves and surfaces
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3.00 Credits
No course description available.
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0.00 - 3.00 Credits
Analytic functions, Cauchy-Riemann equations, Cauchy integral formula, residue theory; conformal mappings, normal families, Riemann mapping theorem, Weierstrass theorem, applications.
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3.00 Credits
Analytic functions, Cauchy-Riemann equations, Cauchy integral formula, residue theory; conformal mappings, normal families, Riemann mapping theorem, Weierstrass theorem, applications.
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1.00 - 3.00 Credits
No course description available.
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3.00 Credits
Systems of linear equations, Gaussian elimination, matrices, matrix algebra; vector spaces, linear transformations, similarity; inner product spaces; determinants; eigen-values and eigenvectors, diagonalization; quadratic forms; canonical forms; complex vector spaces, spectral theory; applications.
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