CHAPTER 2  Limit of a Function

                          2.1 Limits-An Informal Approach
                          2.2 Limit Theorems
                          2.3 Continuity
                          2.4 Trigonometric Limits
                          2.5 Limits That Involve Infinity
                          2.6 Limits-A Formal Approach
                          2.7 The Tangent Line Problem 

CHAPTER 3  The Derivative

                         3.1 The Derivative
                         3.2 Power and Sum Rules
                         3.3 Product and Quotient Rules
                         3.4 Trigonometric Functions
                         3.5 Chain Rule
                         3.6 Implicit Differentiation
                         3.7 Derivatives of Inverse Functions
                         3.8 Exponential Functions
                         3.9 Logarithmic Functions
                         3.10 Hyperbolic Functions

CHAPTER 4  Applications of the Derivative

                         4.1 Rectilinear Motion
                         4.2 Related Rates
                         4.3 Extrema of Function
                         4.4 Mean Value Theorem
                         4.5 Limits Revisited – L’Hopital’s Rule
                         4.6 Graphing and the First Derivative
                         4.7 Graphing and the Second Derivative
                         4.8 Optimization
                         4.9 Linearization and Differentials (optional)
                        4.10 Newton’s Method (optional)
 

CHAPTER 5  Integrals

                         5.1 The Indefinite Integral
                         5.2 Integration by the u-Substitution
                         5.3 The Area Problem
                         5.4 The Definite Integral
                         5.5  Fundamental Theorem of Calculus

Exercises 2.1
Exercises 2.2
Exercises 2.3
Exercises 2.4
Exercises 2.5
Exercises 2.6
Exercises 2.7




Exercises 3.1
Exercises 3.2
Exercises 3.3
Exercises 3.4
Exercises 3.5
Exercises 3.6
Exercises 3.7
Exercises 3.8
Exercises 3.9
Exercises 3.10




Exercises 4.1
Exercises 4.2
Exercises 4.3
Exercises 4.4
Exercises 4.5
Exercises 4.6
Exercises 4.7
Exercises 4.8







Exercises 5.1
Exercises 5.2
Exercises 5.3
Exercises 5.4
Exercises 5.5