Analytical Geometry and Calculus I

Concepts and theorems of differential calculus, elementary functions with emphasis on trigonometric, hyperbolic functions and their inverses, techniques of differentiation, limits, L’Hôpital’s rule and indeterminate forms, the basic concepts of plane analytic geometry particularly conic sections, introduction to three-dimensional coordinate geometry and different coordinate systems, and introduction to functions of several variables and their partial derivatives, sequences, infinite series, convergence and divergence test for series, and power series expansion