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Calculus I

• Course name: Calculus I
• Course number: XYZ

Course Characteristics

Key concepts of the class

• Calculus for the functions of one variable: differentiation
• Calculus for the functions of one variable: integration
• Basics of series
• Multivariate calculus: derivatives, differentials, maxima and minima
• Multivariate integration
• Functional series. Fourier series
• Integrals with parameters

What is the purpose of this course?

The course is designed to provide Software Engineers the knowledge of basic (core) concepts, definitions, theoretical results and techniques of calculus for the functions of one and several variables. The goal of the course is to study basic mathematical concepts that will be required in further studies.

This calculus course will provide an opportunity for participants to understand key principles involved in differentiation and integration of functions: solve problems that connect small-scale (differential) quantities to large-scale (integrated) quantities,
get hands-on experience with the integral and derivative applications and of the inverse relationship between integration and differentiation.

All definitions and theorem statements (that will be given in lectures and that are needed to explain the keywords listed above) will be formal, but just few of these theorems will be proven formally. Instead (in the tutorial and practice classes) we will try these definitions and theorems on work with routine exercises and applied problems.