Welcome to the Calculus 30 Course page! This is the greatest course you will ever take in MATH!! The awe and wonder of a new and fresh “version” of math will leave you breathless and amazed!!! Well maybe that’s my HOPE! But haven’t you always wondered what the “calculus” fuss was all about?? You are about to find out…

Textbook used: Calculus a First Course, McGraw-Hill Ryerson Limited c. 1989

Review/Preview videos and skills

• Algebra basics (Organic Chemistry Tour)
• Factoring Basics
• Factoring Quadratics 1
• Factoring Quadratics 2
• Trigonometry BASIC REVIEW video
• Linear Graphing basics
• Simplifying Rational Functions
• Synthetic Division of Polynomials
• Calculus concepts at a 5th grade level (Lukey B)
• Calculus introduction / Pre-Calculus Review
• Calculus Review/Preview Skills part 2

Calculus 30 – chapter 1

Homework:

Review and Preview to Ch. 1 ( p.3 #1ace, 2ace, 3ace, 4ace and p.4 #1ace, 2ac)
1.1 #1, 2, 8
1.2 #1, 2, 4aceg, 5a, 6ab, 9(optional)
1.3 #1, 3, 4acegi, 5, 9, 13(optional)
1.4 #1ab, 2ab, 3, 7ab (i,ii,v-formula 1 and formula 2), 10
1.5 #1, 2b, 3, 8
1.6 #1ace, 2ace, 3acegikmo
1.8 Review #1, 2, 3ace, 4aceg, 6, 7, 8bc, 11

• Calculus 30 PreCalculus Review Lesson (#1of2)
• Calculus 30 PreCalculus Review Lesson (#2of2)
• Calculus 30 1.1 Tangent Problem (FULL Lesson) 2021
• Calculus 30 1.1 Tangent Problem (MINI Lesson) 2021
  • Tangent Line Animation
  • Calculus 30 1.1 #2 Find equation of a line given points on the line HW
    • Calculus 30 1.1 #7 using secant slopes to calculate tangent slope
  • Calculus 30 1.1 #8 homework question
• Calculus 30 1.2 Limits of a Function Full Lesson 2021
• Calculus 30 1.2 Limits Lesson
  • Calculus 30 1.2 #1, 2, 4 homework questions
  • Calculus 30 1.2 #9 Evaluate limit by rationalizing numerator and denominator

Zeno’s paradoxes and infinity video

• Calculus 30 Finding limits by rationalizing numerator
• Calculus 30 Finding limits by factoring and rationalizing

• Calculus 30 1.3 Limits of Functions (2021 Lesson part 1)
• Calculus 30 1.3 Piecewise Functions (2021 Lesson part 2)
• Calculus 30 1.3 Piecewise functions and their limits
  • Calculus 30 1.3 #1,3,4,5,6,9,13 one sided limits homework
• Graphing Piecewise functions on Ti-84
• Calculus 30 1.4 Slope of Tangent using Limits (2021) Formula 1 Lesson
• Calculus 30 1.4 (part 2) Slope of Tangent using Limits (2021) Formula 2 Lesson

• Calculus 30 1.4 #7 HW Slope of Tangent line using limits rational function
• Calculus 30 1.4 #10 homework question YouTube video   ‪4 minutes
• ‬Calculus 30 1.4 #10b Slope of Tangent using Limits

• Calculus 30 1.6 Infinite limits of Rational Functions Lesson
  • Calculus 30 Chapter Test Question (1.9 #1c) Limit Question
• Calculus 30 – Ch 1 Limits Review Mr. MathWell

Chapter 2 – Derivatives

Homework:

2.1 #1ace, 2, 3, 4, 7, 8ab, 11a
2.2 #1aceg, 2acegik, 3a, 4, 7, 9
2.3 #1aceg, 2c, 3d, 4, 5, 8, 9, 10
2.4 #1, 2ace, 3ac, 5, 9
2.5 #1acfij, 2ae, 3b, 5, 6
2.6 #1, 2, 3, 6acegil, 8, 11ag (optional)
2.7 #1acef, 2ac, 3ac, 9(optional)
2.8 #1ace, 2c, 4, 7
2.9 (Review) #1a, 2, 3, 4acegim, 5, 7ac, 8ac, 9af, 10

Chapter 3 – Applications of Derivatives (Velocity and Acceleration)

Homework:

3.1#1,2
3.2# 3bd, 4, 6

• Calculus 30 3.1/3.2 Velocity and AccelerationYouTube video   ‪17 minutes‬
  • Calculus 30 3.1 #2, 4 Applications of Derivatives (velocity and acceleration)
  • Calculus 30 3.2 #3d Velocity and Acceleration Functions (medium difficulty)

Chapter 4 – Optimization

Suggested homework:

4.1 #1, 2ace, 3ac, 4ace
4.2 #1, 2ac, 3acek, 4ace, 5
4.3 #1a, 2ace, 3a, 4a
4.4 #1, 2, 3, 5, 8, 10, 14

Optimization Asn’t

Review Asn’t (4.6) #1ac, 2ac, 3ac, 4, 6, 9

• Calculus 30 Interval Notation and Sign Analysis (Ch 4 preview lesson)
• Calculus 30 4.1 Increasing and Decreasing functions (2021 Lesson)
• Derivative animation – positive slope = function incr, and negative slope = fxn decr.
  • Tangent Slope Increasing and Decreasing Animation
  • Calculus 30 4.1 #4e Intervals of Increasing and Decreasing in degree 7 function
• Calculus 30 4.2 Critical numbers local absolute maximum minimum
• Calculus 30 4.2/4.3 Max Min / First Derivative Test Combined Lesson (2021)
  • Calculus 30 First Derivative Test ANIMATION
• Calculus 30 4.2 Maximum Minimum values homework question
• Calculus 30 4.3 First Derivative Test Lesson
  • Calculus 30 4.3 First Derivative Test Examples
• Calculus 30 4.4 Optimization Introduction (#1of2)
• Calculus 30 4.4 Optimization Introduction (#2of2)
  • Calculus 30 4.4 #1
  • Calculus 30 4.4 #2 Optimization
  • Calculus 30 4.4 #3 Max Area of Rectangle HW
  • Calculus 30 4.4 #5, 6 Optimization problems
• Calculus 30 4.4 Optimization example
  • Calculus 30 4.4 #8
  • Calculus 30 4.4 #10 homework
  • Calculus 30 Optimization example2
  • Calculus 30 4.4 #14 Optimization Problem (Area of inscribed rectangle)
  • Calculus 30 #17 Optimization asn’t
• AP Exam Question -Optimization (with Cost)
• Calculus 30 Ch 4 Review Video -Extrema and Optimization

Chapter 5 – Curve Sketching

Homework:

5.1 #1, 2agk, 3ac
5.2 #1, 2acg, 3ac, 4ae
5.3 #1, 2acei, 3a-e (i, iii), 4
5.4 #1ace, 2ac, 3ad
5.5 #1, 3,5
5.7 p. 245 Review #1bd, 2bd, 3bd, 4bd, 5bd

• Calculus 30 Ch 5 Preview – Intercepts and Symmetry
• Calculus 30 5.1 Vertical Asymptotes – Using Sign Analysis and Limits LESSSON
• Calculus 30 5.2 Horizontal Asymptotes Lesson 2021
• Calculus 30 5.2 Horizontal Asymptote example
• Calculus 30 5.3 Concavity and Points of Inflection Lesson 2023
  • Calc 30 5.3 #4 homework question
• Calculus 30 5.4 Second Derivative Test (Lesson 2021)
• Calculus 30 5.4 Second Derivative Test (Lesson 2023)
  • Calculus 30 5.4 Second Derivative Test Lesson 2022
• Calculus 30 5.5 Procedure for Curve sketching (Lesson 2021)
  • Calculus 30 5.5 #3 Curve Sketching HW
  • Calculus 30 5.5 curve sketch example
  • Calculus 30 Ch 5 Curve Sketching Example
  • Calculus 30 – Difference in FIRST and SECOND derivative information in curve sketching
• Graphing using derivatives | Derivative applications | Differential Calculus | Khan Academy
  • Calculus 30 Finding symmetry even/odd functions EXAMPLE

• Calculus 30 Preview to Ch 7 Applications Trig Derivatives
• Calculus 30 7.1 Limits of Trig Functions (2018)
• Calculus 30 7.2 Derivatives of Sine and Cosine Functions (2018)
  • Derivatives – An Animation Short About Sine and Cosine Function (0 – 3:30s)
  • Calculus 30 7.2 Trig function derivative HW #1m
• Calculus 30 7.3 Derivatives of Tanx, Cscx, Secx
  • Calculus 30 7.3 Derivatives of Trig functions #1k homework question
• Calculus 30 7.4 Introduction to Applications of Trig Derivatives
• Calculus 30 3.5 Related Rates Introduction with Examples (2019)
• Calculus 30 3.5 Related Rates Lesson (with Example #1)
  • Calculus 30 7.4 (#3) Applications of Trig derivatives Homework
  • Calculus 30 7.4 (#6) Applications of Trig Derivatives Homework
  • Calculus 30 7.4 (#7) Applications of Trig Derivatives Homework
  • Calculus 30 3.5 (#3) Related Rates Homework
  • Calculus 30 3.5 (#4) Related Rates Homework
  • Calculus 30 3.5 (#5) Related Rates Homework
  • Calculus 30 3.5 (#7) Related Rates Snowball HW
  • Calculus 30 3.5 (#9) Three Rates HW Triangle
  • Calculus 30 3.5 (#10) Related Rates Homework
  • Calculus 30 3.5 (#11) Related Rates Homework
  • Calculus 30 3.5 (#14) Related Rates Homework
  • Calculus 30 7.4 (#8) Related Rates Using Trig Homework
  • Calculus 30 7.4 (#9) Related Rates homework question
  • Calculus 30 7.4 (#10) Homework Derivatives of Trig functions
  • Calculus 30 7.4 (#14) homework question
• Calculus 30 7.7 #9 Related rates Trigonometry homework question

• Calculus 30 Max Min Trig function review question

Ch 8 – Exponential and Logarithmic Functions

• Calculus 30 Ch 8 preview – logarithms and exponential functions
  • Calculus 30 – Why absolute value of x in logarithms???
• Calculus 30 8.1 Exponential Functions Review
• Calculus 30 8.2 Derivative Example (base e and trig function)
  • Calculus 30 Laws of Logarithms Review
• Calculus 30 8.2 Derivatives of Exponential functions (BASE E) 2019
• Calculus 30 8.2 homework questions – Differentiating Exponential Equations
• What’s so special about Euler’s number e? | Essence of calculus, chapter 5
  • Calculus 30 8.2 #4c Derivatives of exponential functions example
• Calculus 30 8.3 Natural Logarithm (2019)
• Calculus 30 8.4 Derivatives of Logx, Lnx, b^x
  • Calculus 30 8.4 #1k HW Derivative of ln with Chain Rule
    • Calculus 30 – ln(x) and e^x derivative review questions

Ch 9/10 – Antiderivatives/Area under Curve

Homework:

9.1 #1, 2ac, 3ac, 4, 5ac, 7ac
10.1 #1acegik, 2ace, 5
10.2 #1acegikmo, 2a, 3c

• Calculus 30 9.1 Antiderivatives Lesson (2021)
  • Antiderivatives Intro (Houston Math Prep)
• Calculus 30 10.1 Area Under Curve Lesson (2017)
  • Integrals- An Animation Short About Sine and Cosine Function (3:30 – 5:30s)
  • Calculus 30 10.1 Finding Area Under the Curve EXAMPLE
  • Calculus 30 10.1 Between Curves (Homework #5)
  • Calculus 30 10.1 Area Under Curve Example
  • Calculus 30 10.1 Area under curve example
• Calculus 30 10.2 Area between Curves (LESSON 2025)
  • Calculus 30 10.2 #1o area between curves sinx and cosx HW
  • Calculus 30 10.2 #2a Area between Curves (Absolute Value function) HW
  • Calculus 30 10.2 #3c Area Between Curves TRICKY QUESTION

Ch 11 – Integrals / Fundamental Theorem of Calculus

11.2 #1acegik, 2aceg
11.3 #2abc, 3acegikmoq, 4aceg, 7
Ch 11 Review -11.8 (do as many questions from #3, 4, and 5.)

• Calculus 30 11.1-11.2 Integrals (Definite and Indefinite) 2020
  • Calculus 30 Definite Integral (polynomial) HW
• Calculus 30 11.2 basic Integration problems
• Calculus 30 11.2 part 2 Integral chart and rules
• Calculus 30 11.3 U-Substitution Indefinite Integrals (2020)
• Calculus 30 11.3 U-Substitution Definite Integrals
• Calculus 30 11.3 Indefinite Integral U-Substitution practice
  • Calculus 30 U-Sub HW #3e Review question
  • Calculus 30 11.3 Definite Integral Practice Problems
• Calculus 30 U-Substitution Review Question 11.8 #3e HW

• Calculus song 2021 Grad class – don’t forget the chain rule (or plus C!!)

Final Exam Prep

Calculus 30 – Cumulative Review

Textbook Review homework:
Ch 1-3 p. 157 #1ace, 2, 3a, 5, 7ace, 9, 10, 11b, 17
Ch 4-7 p. 344 #8ac, 9a, 10, 11a, 13
Ch 8-9 p.487 #3, 4, 5, 6, 8, 9, 10
Ch 10-11: Choose your own questions (as we have recently concluded these chapters you may not need extra review)

• Calculus 30 Ch 1-3 Review Ques (Max and Min)
• Calculus 30 Ch 4-7 Review difficult Limit Question HW
• Calculus 30 Ch 8-10 Review #6f (difficult differentiation HW)

Calculus in 20 Minutes with Professor Edward Burger