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    
•  Integration of Functions,   Definite Integrals.