Analytical Geometry & Calculus I

This course is an introductory course in calculus and the students will study the concepts and theorems of Differentiation. The students learn inverse trigonometric functions, Hyperbolic functions, Inverse Hyperbolic functions. Differentiation rules for any given function are presented. L'Hôpital rule is used to solve limits problems using differentiations. Properties of different conic sections including circle, parabola, ellipse, and hyperbola are studied. Also, the equation of planes, lines and spheres are introduced. The students study the function of several variables and their partial derivatives as well as its applications. The concepts of convergent and divergent series are discussed. The course illustrates the power series expansion