FALL SEMESTER
Helpful Stuff
Trigonometric Identities you should know!
Unit Circle
Unit 1-A:
Lesson 1.1 A Preview of Calculus
Video Lesson 1.1
HW Are You Ready for Calculus
Lesson 1.2 and 1.3 Finding Limits Graphically and Numerically
and Evaluating Limits Algebraically
Annotated notes 1.2 and 1.3
Video Lesson 1.2 and 1.3
HW 1.2 & 1.3
Lesson 1.4 Continuity and One-Sided Limits
Annotated notes 1.4
Video Lesson 1.4
HW 1.4
Lesson 1.5 Infinite Limits
Annotated notes 1.5
Video Lesson 1.5
HW 1.5
Chapter 1 Homework Solutions
Test Review Chapter 1#4 needs to be corrected to read (x+1), not (x-1)
Review Solutions corrected 🙂
Unit 1-B:
Lesson 2.1 The Derivative and the Tangent Line Problem|
Annotated notes 2.1
Video Lesson 2.1
Links to helpful Videos:
Ordinary derivative by limit definition
The slope of a secant line
The Tangent Line and the Derivative
HW 2.1
Solutions
Lesson 2.2 Basic Differentiation Rules and Rates of Change
Annotated notes 2.2
Video Lesson 2.2
HW 2.2
Solutions
Lesson 2.3 Product and Quotient Rules and Higher-Order
Annotated notes 2.3
Video Lesson 2.3
HW 2.3
Solutions
Test Review Chapter 2
Test 2.1-2.3 Review Solutions
Unit 2-A
Lesson 2.4 The Chain Rule
Annotated notes 2.4
Video Lesson 2.4
2.4 Homework
2.4 Homework answers
Derivatives Review
Solutions
Unit 2-B
Lesson 3.1 and 3.23.1 Extrema on an Interval and 3.2 Rolle’s Theorem and the Mean Value Theorem
Annotated notes 3.1 and 3.2
Video Lesson 3.1 and 3.2
HW 3.1 and 3.2
Solution: Assignment 3.1 and 3.2
Lesson 3.3 Increasing and Decreasing Functions and the First Derivative Test
Annotated notes 3.3
Video Lesson 3.3
HW 3.3
Lesson 3.4 Concavity and the Second Derivative Test
Annotated Notes
Video Lesson 3.4
HW 3.4
Solutions: Assignments 3.3 and 3.4
Lesson 3.6 Summary of Curve Sketching
Annotated Notes
Video Lesson 3.6 – part 1
Video Lesson 3.6 – part 2
HW 3.6
Solutions: Assignment 3.6
Review 2nd Six Week Exam
Solutions
Unit 3-A
Lesson 2.5 Implicit Differentiation
Annotated Notes
Video Lesson 2.5
HW 2.5
Answers 2.5
Lesson 2.6Related Rates
Annotated Notes
Video Lesson 2.6
HW 2.6 Related Rates
Answers 2.6
HW 2.6 Turvey for Related Rates
Solutions
Review
Answers
Unit 3-B
Lesson 3.7 Optimization – updated fall 2020 with a new example
Annotated Notes
Video Lesson 3.7
HW 3.7 #1 Minimum and Maximum Problems
HW 3.7 #2 Optimization Problems
(bonus or you may skip #5 and #6)
Lesson 3.5 Limits at Infinity
Annotated Notes
Video Lesson 3.5
HW 3.5
Answers 3.5
This link will take you to an excel spreadsheet that will allow you to take your averages for either fall or spring semester and see what you need for the grading period or final to pass class. This is designed for the grading cycles at McNeil High School.
“WHAT IF…”GRADE CHECK for 2020-2021 School Year
SPRING SEMESTER
Lesson 3.5 Limits at Infinity
Annotated Notes
Video Lesson 3.5
HW 3.5
Answers 3.5
Unit 4-A
Lesson 4.2 Area
Annotated Notes
HW 4.2
Answers 4.2 HW
4.2 Video
Lesson 4.1 Antiderivatives and Indefinite Integration
Basic Derivative and Integration Formulas (from textbook lesson 4.1)
Annotated Notes
HW 4.1
Answers 4.1 HW
4.1 Video
Lesson 4.3 Riemann Sums and Definite Integrals
Annotated Notes
HW 4.3
Answers 4.3 HW
Video 4.3
Example: Definite Integration involving an absolute value
Lesson 4.4 The Fundamental Theorem of Calculus
Annotated Notes
HW 4.4
Answers 4.4 HW
Video 4.4
Common derivative and integral formulas
Review 4.1-4.4
Answers to the review
Unit 4-B
Lesson 4.5 Integration by Substitution
Annotated Notes
HW 4.5
Answers 4.5 HW
Video 4.5
Lesson 4.6 Numerical Integration
Annotated Notes
HW4.6
Answers 4.6 HW
Video 4.6
Review Chapter 4
Answers to the review
Unit 5-A
Lesson 5.1 The Natural Logarithmic Function : Differentiation
Annotated Notes
HW 5.1
Video 5.1
Lesson 5.2 The Natural Logarithmic Function : Integration
Annotated Notes
HW 5.2
Video 5.2
Solutions for HW 5.1 and 5.2
HW More 5.1 and 5.2
Answers to More 5.1 and 5.2
Lesson 5.4 Exponential Functions: Differentiation and Integration
Annotated Notes
HW 5.4
Solutions
Video 5.4
Review 5.1, 5.2, 5.4
Solutions
Summary of Chapter 5 Formulas
Unit 5-B
Summary of Chapter 5 Formulas
Lesson 5.5 Bases Other Than e and Applications
Annotated Notes
HW 5.5
Video 5.5
Unit 6-A
Lesson 6.1 Slope Fields
Worksheet
Annotated Notes
Video Lesson
Lesson 6.2 and 6.3 Differential Equations and Separation of Variables
Worksheet
Annotated Notes
Additional Example
Video Lesson
Lesson 8.5 Integration with Partial Fractions
Worksheet
Annotated Notes
Video Lesson
Unit 6-B *these are links to voice recordings of the lessons for Chapter 7
Lesson 7.1 Area of a Region Between Two Curves
Worksheet
Annotated Notes
Video Lesson
Lesson 7.2 Volume: The Disk Method
Worksheet (skip 31)
7.2 HW Help Finding the Radius
Video Lesson
Annotated Notes
Youtube videos that will help you get the visual picture of what is going on in 7.2
Disk Method youtube video 1
Disk Method youtube video 2
Disk Method and Washer methods animation at 53 seconds the washer examples start.
Lesson 7.3 Volume: The Shell Method
Worksheet
Annotated Notes
Video Lesson
Shell Method youtube video