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 Function1.2 Mathematical Models: A Catalog of Essential Functions1.3 New Functions from Old Functions1.4 The Tangent and Velocity Problem1.5 The Limit of a Function1.6 Calculating Limits Using Limit Laws1.7 The Precise Definition of a Limit1.8 Continuity
2.1 Derivatives and Rates of Change2.2 The Derivative as a Function
Exam I Review
EXAM I
2.3 Differentiation Formulas2.4 Derivatives of Trigonometric Functions2.5 The Chain Rule2.6 Implicit Differentiation2.7 Rates of Change in the Natural and Social Sciences2.8 Related Rates2.9 Linear Approximations and Differentials
3.1 Maximum and Minimum Values3.2 The Mean Value Theorem
Exam II Review
EXAM II
3.3 How Derivatives Affect the Shape of a Graph3.4 Limits at Infinity: Horizontal Asymptotes3.5 Summary of Curve Sketching3.6 Graphing with Calculus AND Calculators (Bring a graphing calculator, if you have access to one)3.7 Optimization Problems3.8 Newton's Method (Bring a graphing calculator, if you have access to one)3.9 Antiderivatives
4.1 Areas and Distances4.2 The Definite Integral
Exam III Review (NOT IN-CLASS)
EXAM III
4.3 The Fundamental Theorem of Calculus4.4 Indefinite Integrals and the Net Change Theorem4.5 The Substitution Rule
5.1 Area Between Curves5.2 Volumes5.3 Volumes by Cylindrical Shells5.4 Work5.5 Average Value of a Function
6.1 Inverse Functions6.2 Exponential Functions and Their Derivatives6.3 Logarithmic Functions6.4 Derivatives of Logarithmic Functions
Exam IV Review
EXAM IV
FINAL EXAM