Mathematics 30, Spring 2019

Calculus I

Lectures:

Section 1: MWF 8-8:50am, Room 204, Brighton Hall
and Tuesdays 8-8:50am, Room 214 (different room!), Brighton Hall




Instructor: Michael VanValkenburgh.

Office: Room 140, Brighton Hall
Office Hours: Mondays 9-10am, Tuesdays 12-1pm, Wednesdays 11am-noon, and Fridays 9-10am, and also by appointment. Please come visit!


The Official Syllabus:

Math 30, Spring 2019 (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-02 TR 12-12:50pm, ALP 205
NSM 12E-03 MW 2-2:50pm, BRH 201
NSM 12E-06 TR 3-3:50pm, SQU 450
NSM 12E-07 MW 10-10:50am, MND 4005
"On average, students in PAL earn a 15% bump in class grade."



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 1: Monday, May 13, 8-10am.




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 28:
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 4:
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.

Exam 1 on Wednesday, February 13:
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 3 on Friday, February 22:
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 4 on Wednesday, February 27:
OpenStax Section 3.3 (106-121, 133-143)
...and read the book.

Quiz 5 on Tuesday, March 5:
OpenStax Section 3.5 (178, 180, 192, 194)
OpenStax Section 3.6 (220, 222, 224, 226, 228, 230, 234)
OpenStax Section 3.8 (300, 302, 304, 310, 316a, 318)
...and read the book.
Exam 2 is on Friday, March 8.

Quiz 6 on Wednesday, March 27:
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.
Please come back from Spring Break with questions, so I can help.
...and read the book.

Quiz 7 on Tuesday, April 2:
OpenStax Section 4.1 (14, 16, 18, 20, 28)
OpenStax Section 4.2 (50, 54, 56, 58, 70)
...and read the book.

Quiz 8 on Monday, April 8:
OpenStax Section 4.3 (91, 92, 100, 106, 108, 118, 120, 130, 132)
OpenStax Section 4.4 (150, 164, 168, 182, 190, 192)

Quiz 9 on Friday, April 12:
OpenStax Section 4.5 (194, 196, 200, 202, 206, 212, 222, 224, 226, 228)

Exam 3 on Monday, April 22:
The Exam will cover everything since Exam 2 (including derivatives of inverse functions and related rates).
Here are some homework problems on the most recent topics:
OpenStax Section 4.6 (262, 266, 272, 274, 280, 294, 301, 303, 304)
OpenStax Section 4.7 (315, 316, 317, 320)
OpenStax Section 4.8 (362, 370, 374, 376, 380, 384, 387, 393)
...and read the book.


Quiz 10 on Wednesday, May 1:
OpenStax Section 4.10 (472, 476, 480, 482)
OpenStax Section 5.1 (2, 4, 6, 8, 12)
OpenStax Section 5.2 (62, 64, 66)


Quiz 11 on Wednesday, May 8:
OpenStax Section 5.3 (148, 150, 152, 170, 174, 178, 184, 190, 194)


Final Exam on Monday, May 13:
OpenStax Section 5.4 (210, 212)
OpenStax Section 5.5 (262, 266, 270, 272, 292, 294)


Exams:

Exams and Solutions are posted on Sac CT.




Lecture Schedule

DateTopicsStewartOpenStaxNotesCode
Week 11. T 1/22 Introduction. Ch. 1 Ch. 1
2. W 1/23 Introduction to Limits, I. § 2.1 § 2.1
3. F 1/25 Introduction to Limits, II. § 2.2 § 2.2
Week 24. M 1/28 Limit Laws, I. § 2.3 § 2.3
5. T 1/29 Limit Laws, II. § 2.3 § 2.3
6. W 1/30 Left and Right-hand Limits. § 2.4 § 2.5
7. F 2/1 Continuity, I. § 2.5 § 2.4
Week 38. M 2/4 Continuity, II. § 2.5 § 2.4
9. T 2/5 The Precise Definition of a Limit. § 2.6 § 2.5
10. W 2/6 Limits Involving Infinity. § 2.6 § 2.2
11. F 2/8 Instantaneous Rate of Change, I. § 2.7 § 3.1
Week 412. M 2/11 Instantaneous Rate of Change, II. § 2.7 § 3.1
13. T 2/12 Review.
W 2/13 EXAM 1
14. F 2/15 Interpreting the Derivative, I. § 2.8 § 3.2
Week 515. M 2/18 Interpreting the Derivative, II. § 2.8 § 3.2
16. T 2/19 Basic Rules of Differentiation, I. § 3.1 § 3.3
17. W 2/20 Basic Rules of Differentiation, II. § 3.1 § 3.3
18. F 2/22 the Product and Quotient Rules, I. § 3.2 § 3.3
Week 619. M 2/25 the Product and Quotient Rules, II. § 3.2 § 3.3
20. T 2/26 the Chain Rule, I. § 3.4 § 3.6
21. W 2/27 the Chain Rule, II. § 3.4 § 3.6
22. F 3/1 Implicit Differentiation, I. § 3.5 § 3.8
Week 723. M 3/4 Implicit Differentiation, II. § 3.5 § 3.8
24. T 3/5 Logarithmic Differentiation. § 3.6 § 3.9
25. W 3/6 Derivatives of Inverse Functions, I. § 3.5 § 3.7
26. F 3/8 Review.
Week 8M 3/11 EXAM 2
27. T 3/12 Derivatives of Inverse Functions, II. § 3.5 § 3.7
28. W 3/13 Related Rates, I. § 3.9 § 4.1
29. F 3/15 Related Rates, II. § 3.9 § 4.1
M-F 3/18-22 NO CLASS (Spring Break)
Week 930. M 3/25 Linear Approximation. § 3.10 § 4.2
31. T 3/26 Maxima and Minima, I. § 4.1 § 4.3
32. W 3/27 Maxima and Minima, II. § 4.1 § 4.3
33. F 3/29 the Mean Value Theorem. § 4.2 § 4.4
M 4/1 NO CLASS (Cesar Chavez Birthday)
Week 1034. T 4/2 Increasing and Decreasing Functions, I. § 4.3 § 4.5
35. W 4/3 Increasing and Decreasing Functions, II. § 4.3 § 4.5
36. F 4/5 Concavity, I. § 4.3 § 4.5
Week 1137. M 4/8 Concavity, II. § 4.3 § 4.5
38. T 4/9 l'Hospital's Rule, I. § 4.4 § 4.8
39. W 4/10 l'Hospital's Rule, II. § 4.4 § 4.8
40. F 4/12 Limits at Infinity and Asymptotes. § 4.5 § 4.6
Week 1241. M 4/15 More Curve Sketching. § 4.5 § 4.6
42. T 4/16 Optimization, I. § 4.7 § 4.7
43. W 4/17 Optimization, II. § 4.7 § 4.7
44. F 4/19 Review.
Week 13M 4/22 EXAM 3
45. T 4/23 Antiderivatives. § 4.9 § 4.10
46. W 4/24 Definite Integrals and Area. § 5.1 § 5.1
47. F 4/26 Riemann Sums, I. § 5.2 § 5.2
Week 1448. M 4/29 Riemann Sums, II. § 5.2 § 5.2
49. T 4/30 the Fundamental Theorem of Calculus, I. § 5.3 § 5.3
50. W 5/1 the Fundamental Theorem of Calculus, II. § 5.3 § 5.3
51. F 5/3 the Fundamental Theorem of Calculus, III. § 5.3 § 5.3
Week 1552. M 5/6 Indefinite Integrals, I. § 5.4 § 5.4
53. T 5/7 Indefinite Integrals, II. § 5.4 § 5.4
54. W 5/8 Substitution, I. § 5.5 § 5.5
55. F 5/10 Substitution, II. § 5.5 § 5.5
FINAL EXAM: Section 1: Monday, 5/13, 8-10am