MATH111: CALCULUS 1

introduction

1.1: 4 ways to represent a function, the vertical line test

1.1: Piecewise Functions, Odd and even functions

1.2: A catalog of essential functions

1:3 1 Combinations of functions

1.3: 2 Transformation of functions

1.1-3 Exercises

Sample 1

Sample 2

Sample 3

Major 251

Sample 1

Sample 2

Sample 3

2.2: The limit of a function

2.2: Infinte Limits_ Vertical Asymptotes

2.3: Limit Laws

2.3: 2 Limit Laws2

2.3: Solving Limits Questions

2.3:The Squeeze Theorem

2.5: Continuity

2.5: Properties of Continuous Functions

2.5: Continuity Theorems

2.5: The Intermediate Value Theorem

2.6: Limits at Infinity

2.7: Derivatives and Rates of change

2.7: The Tangent Line

2.8: The Derivative as a Function

2.8: Differentiability

3.1: Derivatives of Polynomials and Exponential Functions

3.1: Sum and Difference Rule

3.1: Derivative of the Natural Exponential Function

3.2: The Product Rule

3.2: The Quotient Rule

3.2: Exercises

3.3: Derivatives of Trigonometric Functions

3.3: Special Trigonometric Limits

3.3: Exercises

3.5: Implicit Differentiation

Sample 1

sample 2

sample 3