MATH 5205. Advanced Calculus II
|Course Code||MATE 5205|
|Course Title||Advanced Calculus II|
|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