Notes 


I will post blank outlines of the notes I will use in lecture here. New notes will be posted as I finish preparing them.


1.1 Four Ways to Represent a Function
1.2 Mathematical Models: A Catalog of Essential Functions
1.3 New Functions from Old Functions
1.4 The Tangent and Velocity Problem
1.5 The Limit of a Function
1.6 Calculating Limits Using Limit Laws
1.7 The Precise Definition of a Limit
1.8 Continuity


2.1 Derivatives and Rates of Change
2.2 The Derivative as a Function


Exam I Review


EXAM I


2.3 Differentiation Formulas
2.4 Derivatives of Trigonometric Functions
2.5 The Chain Rule
2.6 Implicit Differentiation
2.7 Rates of Change in the Natural and Social Sciences
2.8 Related Rates
2.9 Linear Approximations and Differentials


3.1 Maximum and Minimum Values
3.2 The Mean Value Theorem


Exam II Review


EXAM II


3.3 How Derivatives Affect the Shape of a Graph
3.4 Limits at Infinity: Horizontal Asymptotes
3.5 Summary of Curve Sketching
3.6 Graphing with Calculus AND Calculators (Bring a graphing calculator, if you have access to one)
3.7 Optimization Problems
3.8 Newton's Method (Bring a graphing calculator, if you have access to one)
3.9 Antiderivatives


4.1 Areas and Distances
4.2 The Definite Integral


Exam III Review (NOT IN-CLASS)


EXAM III


4.3 The Fundamental Theorem of Calculus
4.4 Inde finite Integrals and the Net Change Theorem
4.5 The Substitution Rule


5.1 Area Between Curves
5.2 Volumes
5.3 Volumes by Cylindrical Shells
5.4 Work
5.5 Average Value of a Function


6.1 Inverse Functions
6.2 Exponential Functions and Their Derivatives
6.3 Logarithmic Functions
6.4 Derivatives of Logarithmic Functions


Exam IV Review


EXAM IV


FINAL EXAM