Schedule
 Week #1:
May 22 - 26 |
Four Ways to Represent a Function (1.1)
Mathematical Models: A Catalogue of Essential Functions (1.2) New Functions from Old Functions (1.3) Exponential Functions (1.5) Logarithmic Functions (1.6) Type Arithmetic (Online) Advanced Graphsketching Techniques (Online) Local Behavior of Functions (Online) |
| Week #2:
May 30 - June 2 |
Asymptotic Behavior of Functions (Online)
Classical Notation for Local and Asymptotic Behavior (Online) The Tangent and Velocity Problems (2.1) Tangents, Velocities, and Other Rates of Change (2.7) Exam #1 will be given in class, 10:30 - 11:20, on Thursday, June 1. Lecture will follow, 11:20 - 11:50. Derivatives (2.8) The Derivative as a Function (2.9) |
| Week #3:
June 5 - 9 |
The Derivative as a Function (2.9)
Derivatives of Polynomials and Exponential Functions (3.1) The Product and Quotient Rules (3.2) Derivatives of Trigonometric Functions (3.4) The Chain Rule (3.5) Implicit Differentiation (3.6) Higher Derivatives (3.7) Derivatives of Logarithmic Functions (3.8) |
| Week #4:
June 12 - 16 |
Exam #2 will be given in class, 10:30 - 11:20, on Monday, June 12. Lecture will follow, 11:20 - 11:50.
Derivatives of Logarithmic Functions (3.8) Related Rates (3.10) Linear Approximations and Differentials (3.11) Maximum and Minimum Values (4.1) The Mean Value Theorem (4.2) How Derivatives Affect the Shape of a Graph (4.3) Indeterminate Forms and L'Hopital's Rule (4.4) |
| Week #5:
June 19 - 23 |
Indeterminate Forms and L'Hopital's Rule (4.4)
Summary of Curve Sketching (4.5) Optimization Problems (4.7) Antiderivatives (4.10) Exam #3 will be given in class, 10:30 - 11:20, on Wednesday, June 21. Lecture will follow, 11:20 - 11:50. Areas and Distances (5.1) The Definite Integral (5.2) The Fundamental Theorem of Calculus (5.3) |
| Week #6:
June 26 - 30 |
The Fundamental Theorem of Calculus (5.3)
Indefinite Integrals and the Net Change Theorem (5.4) The Substitution Rule (5.5) Integration by Parts (7.1) Areas between Curves (6.1) Volumes (6.2) Volumes by Cylindrical Shells (6.3) Exam #4 will be given Friday, June 30. You will have the entire time period 10:30 - 11:50 to work. |