Mathematics 30, Spring 2020

Calculus I

Lectures:

Section 9: MTWF 12-12:50pm, Room 115, Brighton Hall

Section 10: MWRF 1-1:50pm, Room 115, Brighton Hall




Instructor: Michael VanValkenburgh.

Office: Room 140, Brighton Hall
Office Hours: Tuesdays 1-2pm and Thursdays 11am-12:50pm, and by appointment


The Official Syllabus:

Math 30, Spring 2020 (pdf)

Drop Policy


Announcements:

Textbook. I highly recommend the classic: Calculus (Early Transcendentals), by James Stewart (you can use as old as the 5th edition)
Another good resource is: OpenStax Calculus, Volume 1.

I strongly recommend that you enroll in one of the following (one-unit) PAL classes for Math 30, to get further help from your peers (working in groups, etc.).
NSM 12E-01 TR 12-12:50pm, SLN 3008
NSM 12E-03 TR 3-3:50pm, ALP 205
NSM 12E-04 MW 10-10:50am, MND 1032



Basic Needs Support If you are experiencing challenges in the area of food and/or stable housing, help is just a click, email or phone call away! Sacramento State offers basic needs support for students who are experiencing challenges in these areas. Please visit our Basic Needs website to learn more about your options and resources available.
Basic Needs Support webpage.



Final Exam Schedule. Please take this into account when registering for classes:
Section 9 (noon class): Wednesday, May 13, 10:15am-12:15pm.

Section 10 (1pm class): Monday, May 11, 12:45pm-2:45pm.




Homework:

Homework will not be collected; instead, on the ``due date'' there will be an in-class quiz with problems taken from the homework. This will prepare you for the testing environment and will show you my grading style.

(You need to download the book to see the problem numbers.)

Quiz 1 on Monday, January 27:
The handout from the first lecture, and:
OpenStax Section 2.2 (46-80) (It looks like a lot, but the problems are very short.)
...and read Sections 2.1 and 2.2.

Quiz 2 on Monday, February 3:
OpenStax Section 2.3 (84, 90, 92, 94, 96, 98, 100, 102, 118, 120)
OpenStax Section 2.4 (132, 134, 136, 138, 140, 146, 148, 156)
...and read the book.

Quiz 3 on Wednesday, February 12:
(Remember: Exam 1 is on Friday, Febrauary 14!)
OpenStax Section 2.3 (126, 127)
OpenStax Section 2.4 (159-167)
OpenStax Section 2.5 (180-183, 196-198)
OpenStax Section 3.1 (8, 16, 24, 43)
...and read the book.

Quiz 4 on Friday, February 21:
OpenStax Section 3.1 (8, 16, 24, 43)
OpenStax Section 3.2 (54, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 82)
Feel free to try other problems, too!
...and read the book.

Quiz 5 on Friday, February 28:
OpenStax Section 3.3 (106-121, 133-143)
...and read the book.

Exam 2 on Monday, March 9:
OpenStax Section 3.5 (175, 178, 180)
OpenStax Section 3.6 (220, 222, 226, 228, 234)
OpenStax Section 3.8 (300, 302, 304, 310, 316a, 318)
...and read the book.

Quiz 6 on Wednesday, March 18:
OpenStax Section 3.7 (264, 266, 272, 279, 280, 290)
OpenStax Section 3.9 (332, 340, 341, 346)
OpenStax Section 4.1 (2, 8) and please work on the handout from class.
...and read the book.


Exams:

Exams and Solutions are posted on Canvas.




Lecture Schedule

DateTopicsStewartOpenStaxNotesCode
Week 11. Introduction. Ch. 1 Ch. 1
2. Introduction to Limits, I. § 2.1 § 2.1
3. F 1/24 Introduction to Limits, II. § 2.2 § 2.2
Week 24. M 1/27 Limit Laws, I. § 2.3 § 2.3
5. Limit Laws, II. § 2.3 § 2.3
6. Left and Right-hand Limits. § 2.4 § 2.5
7. F 1/31 Continuity, I. § 2.5 § 2.4
Week 38. M 2/3 Continuity, II. § 2.5 § 2.4
9. The Precise Definition of a Limit. § 2.6 § 2.5
10. Limits Involving Infinity. § 2.6 § 2.2
11. F 2/7 Instantaneous Rate of Change, I. § 2.7 § 3.1
Week 412. M 2/10 Instantaneous Rate of Change, II. § 2.7 § 3.1
13. Interpreting the Derivative, I. § 2.8 § 3.2
14. Review.
F 2/14 EXAM 1
Week 515. M 2/17 Interpreting the Derivative, II. § 2.8 § 3.2
16. Basic Rules of Differentiation, I. § 3.1 § 3.3
17. Basic Rules of Differentiation, II. § 3.1 § 3.3
18. F 2/21 the Product and Quotient Rules, I. § 3.2 § 3.3
Week 619. M 2/24 the Product and Quotient Rules, II. § 3.2 § 3.3
20. the Chain Rule, I. § 3.4 § 3.6
21. the Chain Rule, II. § 3.4 § 3.6
22. F 2/28 Implicit Differentiation, I. § 3.5 § 3.8
Week 723. M 3/2 Implicit Differentiation, II. § 3.5 § 3.8
24. Logarithmic Differentiation. § 3.6 § 3.9
25. Review.
26. F 3/6 Review.
Week 8M 3/9 EXAM 2
27. Derivatives of Inverse Functions, I and II. § 3.5 § 3.7
28. Related Rates, I. § 3.9 § 4.1
29. F 3/13 Related Rates, II. § 3.9 § 4.1
Week 930. M 3/16 Linear Approximation. § 3.10 § 4.2
31. Maxima and Minima, I. § 4.1 § 4.3
32. Maxima and Minima, II. § 4.1 § 4.3
33. F 3/20 the Mean Value Theorem. § 4.2 § 4.4
Week 1034. M 3/23 Increasing and Decreasing Functions, I. § 4.3 § 4.5
35. Increasing and Decreasing Functions, II. § 4.3 § 4.5
36. Concavity, I. § 4.3 § 4.5
37. F 3/27 Concavity, II. § 4.3 § 4.5
M-F 3/30-4/3 NO CLASS (Spring Break)
Week 1138. M 4/6 l'Hospital's Rule, I. § 4.4 § 4.8
39. l'Hospital's Rule, II. § 4.4 § 4.8
40. Limits at Infinity and Asymptotes. § 4.5 § 4.6
41. F 4/10 More Curve Sketching. § 4.5 § 4.6
Week 1242. M 4/13 Optimization, I. § 4.7 § 4.7
43. Optimization, II. § 4.7 § 4.7
44. Review.
F 4/17 EXAM 3
Week 1345. M 4/20 Antiderivatives. § 4.9 § 4.10
46. Definite Integrals and Area. § 5.1 § 5.1
47. Riemann Sums, I. § 5.2 § 5.2
48. F 4/24 Riemann Sums, II. § 5.2 § 5.2
Week 1449. M 4/27 the Fundamental Theorem of Calculus, I. § 5.3 § 5.3
50. the Fundamental Theorem of Calculus, II. § 5.3 § 5.3
51. the Fundamental Theorem of Calculus, III. § 5.3 § 5.3
52. F 5/1 Indefinite Integrals, I. § 5.4 § 5.4
Week 1553. M 5/4 Indefinite Integrals, II. § 5.4 § 5.4
54. Substitution, I. § 5.5 § 5.5
55. Substitution, II. § 5.5 § 5.5
56. F 5/8 Review.
FINAL EXAM: Section 9 (noon class): Wednesday, May 13, 10:15am-12:15pm
FINAL EXAM: Section 10 (1pm class): Monday, May 11, 12:45pm-2:45pm