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Calculus II

  • Course name: Calculus II
  • Course number: XYZ

Course Characteristics

Key concepts of the class

  • Multivariate calculus: derivatives, differentials, maxima and minima
  • Multivariate integration
  • Functional series. Fourier series
  • Integrals with parameters

What is the purpose of this course?

The goal of the course is to study basic mathematical concepts that will be required in further studies. The course is based on Mathematical Analysis I, and the concepts studied there are widely used in this course. The course covers differentiation and integration of functions of several variables. Some more advanced concepts, as uniform convergence of series and integrals, are also considered, since they are important for understanding applicability of many theorems of mathematical analysis. In the end of the course some useful applications are covered, such as gamma-function, beta-function, and Fourier transform.