Calculus I Guided Notebook

MODULE R REVIEW 
Section Topic
 R1 Review of Algebra and Trigonometry 
 R2 Review of Exponential, Logarithmic and Inverse Functions 

MODULE 1 LIMITS AND DERIVATIVES 
Section Topic
 1.1 The Limit of a Function 
 1.2 Calculating Limits 
 1.3 Continuity 
 1.4 Limits Involving In­finity 
 1.5 Derivatives and Rates of Change 
 1.6 The Derivative as a Function 

MODULE 2 DIFFERENTIATION RULES 
Section Topic
 2.1 Basic Differentiation 
 2.2 Product and Quotient Rules 
 2.3 Chain Rule 
 2.4 Differentiation of Exponential and Logarithmic Functions 
 2.5 Implicit Differentiation 
 2.6 Special Derivatives 

MODULE 3 APPLICATIONS OF DIFFERENTIATION 
Section Topic
3.1 Exponential Growth and Decay 
3.2 Related Rates 
3.3 Linear Approximations and Differentials 
3.4 Indeterminate Forms and L’Hôspital’s Rule 

MODULE 4 APPLICATIONS OF DIFFERENTIATION 
Section Topic
4.1 Maximum and Minimum Values 
4.2 The Mean Value Theorem 
4.3 Derivatives and the Shape of Graphs 
4.4 Curve Sketching 
4.5 Optimization 
4.6 Newton’s Method 
4.7 Anti Derivatives