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0301311
Mathematical Analysis-I
Course Description :
Functions of bounded variation. Riemann integral: the definition, basic properties and some theorems on Riemann integrable functions. The Riemann-Stieltjes integral: the definition, basic properties of R-S integral, and some theorems related to R-S integral. Linear transformations on Rⁿ and their matrix representation(fast revision). Functions from Rⁿ to Rm (basic setup and examples). The derivative of vector valued functions of several variables. Directional derivatives. Partial derivatives. Matrix representation of the derivative. Important theorems related to the differentiability in Rⁿ.
Pre Request :
0331212
Credit Hour :
3
Department :
Mathematics
Program :
Course Level :
Bachelor
Course Outline :
0301311 Syllabus.pdf