Calculus I

Description

This course provides basic rules of Differentiation – Trigonometric functions and their derivatives – Inverse trigonometric functions and their derivatives – Logarithmic function and its derivative. Logarithmic function and its derivative – Derivatives of hyperbolic and inverse hyperbolic functions – Parametric differentiation, Implicit differentiation – Limits and L’Hopital rule –Partial Differentiation – Taylor’s and Maclaurin’s expansions – Curve sketching: Critical, maximum, minimum and inflection points – Curve sketching (rational functions) and physical application (velocity and acceleration) – Conic sections: Parabola, Ellipse and Hyperbola

Program

Software Engineering 144 CRs

Objectives

• 1. Differentiate certain types of functions (trigonometric functions and their inverse, exponential function, and logarithmic function).
  2. Understand and use the applications of differentiation (l’Hopital, Taylor and Maclaurin’s expansions).