This course is designed to introduce the student to the main ideas of calculus, such as limits, continuity, derivatives and differentiation, includes integration, methods of integration, applications of derivative in planar areas and 3-dimensional space and curve sketching rotated rates and mix/max problem, differentiation of transcendental function including trigonometric and inverse trigonometric functions, exponential logarithmic functions, expansions and functions in series, Talor polynomials, fundamental theorem of calculus substitution, vector field theory.