Highlights the importance of differentiation and integration for science and engineering and understanding the relationship between them.
Presentation of the basic rules of differentiation and integration and their applications.
Accustom the student to logical reasoning and acquire the skills needed to solve the issues.
Course Contents
Real numbers, Exponents and Radicals, Polynomials: Basic Operations and Factoring. Solving Equations, Rational Expressions: Basic Operations, Inequalities, Absolute Values.
Definition of Functions (Domain and Range), Graphs of Functions, Operations on Functions, Trigonometric Functions and Identities
Introduction to Limits, Theorems on limits, Limit from Right and from Left, Definition of Continuity
Definition of Derivative (Using Limits), Rules and Theorems for Finding Derivatives, Derivative of Trigonometric Functions, Chain Rule, Higher Order Derivatives, Implicit Differentiation
Maxima and Minimum, Monotonicity, Local Maxima and Minima, Concavity, Sketching the Graphs
