General Information | Syllabus | Canvas Page | Homework and Reading |
Lectures | Sections in Text | Brief Description |
---|---|---|
9/11 | Chap 1 & 2.1 | Review of functions (especially exponential). Introduction to tangent lines and velocity |
9/13 | 2.2 and 2.3 | Limits and limit laws |
9/15 | 2.3 and 2.4 | More on limits and the precise definition of a limit |
9/18 | 2.5 | Continuity and a review of trig functions |
9/20 | 2.5 and 2.6 | Continuity, limts at infinity, and asymptotes |
9/22 | 2.7 and 2.8 | Rates of change, the derivative, and the derivative as a function |
9/25 | 3.1 | Dervatives of polynomials and exponential functions |
9/27 | 3.2 | The product and quotient rules |
9/29 | 3.3 | The derivatives of trig functions |
10/2 | 3.4 | The chain rule |
10/3 | Preliminary Exam | |
10/4 | 3.5 | Implicit differentiation |
10/6 | 3.6 and 3.7 | The derivative of logarithmic functions and applications to rates of change |
10/9 | 3.8 | Exponential growth and decay |
10/11 | 3.9 | Related rates |
10/13 | 3.10 and 3.11 | Linear approximation and hyperbolic functions |
10/16 | 4.1 | Maximums and minimums |
10/18 | 4.2 and 4.3 | The Mean Value Theorem and the shape of graphs |
10/20 | 4.3 | The derivative and the shape of graphs |
10/23 | 4.4 | Indeterminate forms and L'Hospital's rule |
10/25 | 4.5 | Curve sketching |
10/26 | Midterm Exam | |
10/27 | 4.7 | Optimization |
10/30 | 4.8 and 4.9 | Newton's method and antiderivatives |
11/1 | 5.1 | Areas and distances |
11/3 | 5.2 | The definite integral |
11/6 | 5.3 | The Fundamental Theorem of Calculus |
11/8 | 5.4 | Indefinite integrals and the net change theorem |
11/10 | 5.5 | Substitution |
11/13 | 7.1 | Integration by parts |
11/17 | Final Exam |
Dana P. Williams
Last updated August 22, 2023 15:34:42 EDT