This course discusses the concepts of calculus with some applications. It introduces the formal definitions of limit, derivative, and definite integral. The theory of limits, continuity, differentiation, and integration of functions of one variable is developed up to the fundamental theorem of calculus. The natural exponential function, which is defined as the inverse of the natural logarithmic function, is studied. Various techniques of integration are discussed as well. Finally, applications of differentiation and integration on curve sketching, optimization problem, and finding of areas and volumes are also presented.
Skill Level: Beginner