Math 109 Calc 1, Fall 2021 with Mitchell Schoenbrun
Lesson Plans
0) Review of Geometry/Algebra/Pre-Calculus
0.5) Finish up Review
1) Introduction to Derivatives
2) Limits
3) Calculating Limits
4) Continuity
5) Limits at Infinity
6) Review of 4.5 Problem
7) Derivatives
8) Derivative Formulas
9) Derivatives of the Exponential Functions and e
10) Reciprocal and Quotient Rules
11) Derivatives of the Trigonometric Functions
12) Some Derivatives and examples
13) Review of Trigonometry
14) The Chain Rule
16) Implicit Differentiation
15) Inverse Function Rule
16) Exponential Growth
17) Related Rates
18) Linear Approximations
19) Hyperbolic Functions
22) Maximums and Minimums
20) The Mean Value Theorem
21) Derivatives and the shape of Graphs
22) Derivatives and the shape of Graphs (More)
23) Derivatives and the shape of Graphs (Even More)
24) L'Hopital's Rule
25) Ti Calculator
26) Optimization
27) Newton's Method
28) Anti-Derivatives
29) Area
30) Definite Integrals
31) The Fundamental Theorem of Calculus
32) Indefinite Integrals
33) Substitution
34) Area Between Curves
35) Volumes
36) Volumes and Surface Areas