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Calculus 30

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

Stewart Text

Review/Preview videos and skills

Before you begin the course, you might want to watch some review videos from Pre-Calculus 30 before watching the Calculus videos… here is a link to Pre-Calculus 30 Course Page

The videos in the section below should be viewed before your first Calculus class if possible. There are other videos on functions, graphing, etc you may want to view to refresh your skills as well during the first week of class. I will be going over this material briefly before launching into section 1.1.

Calculus 30 – chapter 1

Homework:

Review and Preview to Ch. 1 ( p.3 #1ace, 2ace, 3ace, 4ace and p.4 #1ace, 2ac)
1.1 #1ac, 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 (2023 AP optional)
1.8 Review #1, 2, 3ace, 4aceg, 6, 7, 8bc, 11

Zeno’s paradoxes and infinity video

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

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

Chapter 5 – Curve Sketching

Homework:

Review and Preview : p204#1acegi, p206 #1,2aceg

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, 3,4
5.7 p. 245 Review #1bd, 2bd, 3bd, 4bd, 5bd

Curve Sketching song rehearsal…

Ch 7 – Derivatives of Trig Functions applications / Ch 3 – Related Rates

7.1 #1, 3, 7, 8, 9, 16, 20, 31

7.2 #1acegikmo, 2af, 3a, 5a

7.3 #1acegik, 2a, 4, 5

7.4 Part 1 #1ad,3,6,7

3.5 #1, 3, 4, 5, 7, 9, 10, 14

7.4 Part 2#8-10, 14

Review Asn’t (7.7) #2aceg, 3bdf, 4, 7, 9, 13

Ch 8 – Exponential and Logarithmic Functions

Homework:

8.1 #1bd, 4ch

8.2 #4aceg

8.3 #3, 4, 5, 6, 7ace, 18

8.4 #1, 3ac, 4abc, 5ac, 7ace, 8a

8.7 #1ac, 2a, 3a, 4, 5, 6a, 7acegik, 11

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

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.)

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 in 20 Minutes with Professor Edward Burger

Calculus 30 in 20 minutes… hilarious and memorable!!!
University Level Math 110 (Calculus 1) Lab manual
University Level Math 111 (Calculus 2)Lab manual