MATH 5205. Advanced Calculus II

Course Code MATE 5205
Course Title Advanced Calculus II
Credits 3
Hours 3 per week
Prerequisites MATE 5201, MATE 4031 (recommended)
Description Series of real and complex numbers. Sequences and series of functions, uniform convergence, power series. The Euclidean space: elementary topology of Rn. Notions on metric spaces. Functions of several variables: continuity and differentiation. Contraction mapping theorem. The implicit function theorem. Integration on Rn. Fundamental theorems of vector calculus
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