A UNIT 1 - cOURSE oVERVIEW

*See Appendix A in the textbook starting on page 577 for formulas from Precalculus!


​BONUS: The book "Calculus Made Easy" by Sylvanus Thompson from Project Gutenberg (gutenberg.org) 

A UNIT 2 - PREREQUISITES fOR CALCULUS

LIVELESSONS

8/3/2021   Welcome Recording
COURSE LESSONS:  
​
2-1   Linear Functions 
2-2   Functions & Graphs  
2-3   Exponential Functions  
2-4   Inverse Functions & Logarithms  
2-5   Trigonometric Functions 
  
​
Khan Academy Video Units:  
Linear Equations & Graphs 
Forms of Linear Equations   
Functions 
Exponential Growth & Decay 
Logarithms 
Trigonometric Functions 
​

unit 3 - Limits & Continuity

LIVELESSONS
​
​8/10/2021 - Course Overview, Notetaking & the Unit 3 Portfolio
8/17/2021 - Class Reminders, Deriving Instantaneous Rate of Change from Slope
8/24/2021 - Class Reminders - Secants & Tangents - Asymptotes - Infinity Limits
​​
COURSE LESSONS:  
​
3-1   Overview of Limits    
3-2   Using Properties of Limits    
3-3   Limits Involving Infinity    
3-4   Continuity & Discontinuity    
3-5   Secant Lines & Average Rate of Change   
3-6   Tangent Lines & Instantaneous Rate of Change  
3-7   Unit Review  
    
​
AP® STUDENT VIDEOS:

3-1 watch Daily 1.1, 1.2 
3-2 watch Daily 1.3-1.9 
3-3 watch Daily 1.14, 1.15 
3-4 watch Daily 1.10-1.13
3-5 watch Daily 2.1
3-6 watch Daily 2.1

A UNIT 4 - DERIVATIVES​

LIVELESSONS
COURSE LESSONS:  
​
4-1   Using the Definition of a Derivative  
4-2   Graphs of Derivatives  
4-3   Differentiability at a Point  
4-4   Differentiability on an Interval  
4-5   The Intermediate Value Theorem for Derivatives  
4-6   Numerical Derivatives  
4-7   Using Differentiation Rules  
4-8   Rates of Change  
4-9   Derivatives of Trigonometric Functions  
​4-10  Unit Review  
    
AP® STUDENT VIDEOS:

4-1 watch Daily 2.2 
4-2 watch Daily 5.3 
4-3 watch Daily 2.3 
4-4 watch Daily 4.4
4-5 watch Daily 1.16
4-6 watch Daily 4.6
4-7 watch Daily 2.5,6,8,9
4-8 watch Daily 4.1,2,3
4-9 watch Daily 2.7, 2.10

A UNIT 5 MID-SEMESTER  CHECK

A UNIT 6 - MORE DERIVATIVES

LIVELESSONS

10/12/2021 - Chain Rule for Derivatives
10/19/2021 - Finding Trig Ratios w/o a Unit Circle​
10/26/2021 - Chain Rule using "u" Substitution; Implicit Differentiation ​
​11/03/2021 - 2nd Derivatives by Implicit Differentiation  
LESSONS:  
​
6-1   The Chain Rule  
6-2   Applications of the Chain Rule  
6-3   Implicit differentiation  
6-4   Applications of Implicit Differentiation  
6-5   Derivatives of Inverse Trigonometric Functions  
6-6   Derivatives of Exponential Functions  
6-7   Derivatives of Logarithms  
6-8   Logarithmic Differentiation  
6-9   Unit Review  
    
AP® STUDENT VIDEOS:

6-1 watch Daily  3.1, 3.6
6-2 watch Daily  3.1
6-3 watch Daily  3.2
6-4 watch Daily  3.2, 5.12
6-5 watch Daily  3.3, 3.4
6-6 watch Daily 
6-7 watch Daily
​6-8 watch Daily  
​6-9 watch Daily  3.5

A UNIT 7 - APPLICATIONS OF DERIVATIVES

LIVELESSONS
​11/09/21 - The Twice Differentiable Function Presentation Portfolio 
11/16/21 - Conditions for MVT 
​
LESSONS:  
​
7-1   Extreme Values of Functions 
7-2   Mean Value Theorem  
7-3   Connecting Derivatives of f with the Graph of f  
7-4   More Function Analysis Using Derivatives  
7-5   Modeling and Optimization  
7-6   Linearization, Sensitivity, and Differentials  
7-7   Related Rates  
7-8   Unit Review  
    
AP® STUDENT VIDEOS:

7-1 watch Daily  5.2 5.7
7-2 watch Daily  5.1  
7-3 watch Daily  5.4, 5.8, 5.9
7-4 watch Daily  5.5 5.6
7-5 watch Daily  5.10, 5.11
7-6 watch Daily  4.6
7-7 watch Daily  4.4
​

A UNIT 8 - SEMESTER REVIEW & EXAM

USA Test PRep PROJECTS


​Complete the assigned ACT Math Practice Tests at USA Test Prep, then submit the corrections reports described in the test comments.
​​
The semester ends on Friday, Dec. 17.
All lessons, assessments, and reworks must be submitted by 8:59 pm, 
​as you will lose access to your courses at 9 pm.
​AP® and Advanced Placement® are registered trademarks of the College Board. Used with permission.