Mathematics 30, Spring 2018

Calculus I

Lectures:

Section 1: Mondays, Tuesdays, Wednesdays, and Fridays, 8-8:50am
Room 227, Alpine Hall

Section 10: Mondays, Wednesdays, and Fridays, 12-12:50pm, in Room 203, Brighton Hall
and Tuesdays, 12-12:50pm, in Room 209, Brighton Hall




Instructor: Michael VanValkenburgh.

Office: Room 140, Brighton Hall
Office Hours: MWF 9-9:50am, and Tuesdays 4-5pm, and also by appointment. Please come visit!


The Official Syllabus:

Math 30, Spring 2018 (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 MW 12-12:50pm, SLN 4008
NSM 12E-02 TR 12-12:50pm, ALP 205
NSM 12E-03 MW 2-2:50pm, AMD 362
NSM 12E-04 MW 1-1:50pm, CLV 134



Final Exam Schedule. Please take this into account when registering for classes:
Section 1: Monday, May 14, 8-10am.
Section 10: Wednesday, May 16, 10:15am-12:15pm.




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 Friday, January 26:
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 5:
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 Monday, February 12:
OpenStax Section 2.3 (126, 127)
OpenStax Section 2.4 (159-167)
OpenStax Section 2.5 (180-183, 196-198)
...and read the book.

Quiz 3 on Tuesday, February 20:
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 Tuesday, February 27:
OpenStax Section 3.3 (106-121, 133-143)
...and read the book.

Quiz 5 on Monday, 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.

Quiz 6 on Tuesday, March 13:
To make up points on the exam.

Quiz 7 on Friday, March 16:
OpenStax Section 3.7 (264, 266, 272, 279, 280, 290)
OpenStax Section 3.9 (332, 333, 338, 340, 341, 346)
OpenStax Section 4.1 (2, 6, 8, 10)
...and read the book.

Quiz 8 on Wednesday, March 28:
OpenStax Section 4.1 (14, 16, 18, 20, 28)
OpenStax Section 4.2 (50, 54, 56, 58, 70)
...and read the book.

Quiz 9 on Wednesday, April 4:
OpenStax Section 4.3 (91, 92, 100, 106, 108, 118, 120, 130, 132)
OpenStax Section 4.4 (150, 164, 168, 182)

Quiz 10 on Wednesday, April 11:
OpenStax Section 4.4 (190, 192)
OpenStax Section 4.5 (194, 196, 200, 202, 206, 212, 222, 224, 226, 228)

Exam 3 on Friday, April 20:
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 11 on Friday, April 27:
To make up points on the exam.

Quiz 12 on Friday, May 4:
OpenStax Section 4.10 (472, 476, 480, 482)
OpenStax Section 5.1 (2, 4, 6, 8, 12)
OpenStax Section 5.2 (62, 64, 66)
OpenStax Section 5.3 (148, 150, 152)


Quiz 13 on Friday, May 11:
OpenStax Section 5.3 (170, 174, 178, 184, 190, 194)
OpenStax Section 5.4 (210, 212)
OpenStax Section 5.5 (262, 266, 270, 272, 276, 282, 292, 294)



Exams:

Exams and Solutions are posted on Sac CT.




Lecture Schedule

I may occasionally type lecture notes.
DateTopicsStewartOpenStaxNotesCode
Week 11. M 1/22 Introduction. Ch. 1 Ch. 1
2. T 1/23 Introduction to Limits, I. § 2.1 § 2.1
3. W 1/24 Introduction to Limits, II. § 2.2 § 2.2
4. F 1/26 Limit Laws, I. § 2.3 § 2.3
Week 25. M 1/29 Limit Laws, II. § 2.3 § 2.3
6. T 1/30 Left and Right-hand Limits. § 2.4 § 2.5
7. W 1/31 Continuity, I. § 2.5 § 2.4
8. F 2/2 Continuity, II. § 2.5 § 2.4
Week 39. M 2/5 The Precise Definition of a Limit. § 2.6 § 2.5
10. T 2/6 Limits Involving Infinity. § 2.6 § 2.2
11. W 2/7 Instantaneous Rate of Change, I. § 2.7 § 3.1
12. F 2/9 Review.
Week 4M 2/12 EXAM 1
13. T 2/13 Instantaneous Rate of Change, II. § 2.7 § 3.1
14. W 2/14 Interpreting the Derivative, I. § 2.8 § 3.2
15. F 2/16 Interpreting the Derivative, II. § 2.8 § 3.2
Week 516. M 2/19 Basic Rules of Differentiation, I. § 3.1 § 3.3
17. T 2/20 Basic Rules of Differentiation, II. § 3.1 § 3.3
18. W 2/21 the Product and Quotient Rules, I. § 3.2 § 3.3
19. F 2/23 the Product and Quotient Rules, II. § 3.2 § 3.3
Week 620. M 2/26 the Chain Rule, I. § 3.4 § 3.6
21. T 2/27 the Chain Rule, II. § 3.4 § 3.6
22. W 2/28 Implicit Differentiation, I. § 3.5 § 3.8
23. F 3/2 Implicit Differentiation, II. § 3.5 § 3.8
Week 724. M 3/5 Logarithmic Differentiation. § 3.6 § 3.9
25. T 3/6 Review.
W 3/7 EXAM 2
26. F 3/9 Derivatives of Inverse Functions, I. § 3.5 § 3.7
Week 827. M 3/12 Derivatives of Inverse Functions, II. § 3.5 § 3.7
28. T 3/13 Related Rates, I. § 3.9 § 4.1
29. W 3/14 Related Rates, II. § 3.9 § 4.1
30. F 3/16 Linear Approximation. § 3.10 § 4.2
M-F 3/19-23 NO CLASS (Spring Break)
Week 931. M 3/26 Maxima and Minima, I. § 4.1 § 4.3
32. T 3/27 Maxima and Minima, II. § 4.1 § 4.3
33. W 3/28 the Mean Value Theorem. § 4.2 § 4.4
F 3/30 NO CLASS (Cesar Chavez Birthday)
Week 1034. M 4/2 Increasing and Decreasing Functions, I. § 4.3 § 4.5
35. T 4/3 Increasing and Decreasing Functions, II. § 4.3 § 4.5
36. W 4/4 Concavity, I. § 4.3 § 4.5
37. F 4/6 Concavity, II. § 4.3 § 4.5
Week 1138. M 4/9 l'Hospital's Rule, I. § 4.4 § 4.8
39. T 4/10 l'Hospital's Rule, II. § 4.4 § 4.8
40. W 4/11 Limits at Infinity and Asymptotes. § 4.5 § 4.6
41. F 4/13 More Curve Sketching. § 4.5 § 4.6
Week 1242. M 4/16 Optimization, I. § 4.7 § 4.7
43. T 4/17 Optimization, II. § 4.7 § 4.7
44. W 4/18 Review.
F 4/20 EXAM 3
Week 1345. M 4/23 Antiderivatives. § 4.9 § 4.10
46. T 4/24 Definite Integrals and Area. § 5.1 § 5.1
47. W 4/25 Riemann Sums, I. § 5.2 § 5.2
48. F 4/27 Riemann Sums, II. § 5.2 § 5.2
Week 1449. M 4/30 the Fundamental Theorem of Calculus, I. § 5.3 § 5.3
50. T 5/1 the Fundamental Theorem of Calculus, II. § 5.3 § 5.3
51. W 5/2 the Fundamental Theorem of Calculus, III. § 5.3 § 5.3
52. F 5/4 Indefinite Integrals, I. § 5.4 § 5.4
Week 1553. M 5/7 Indefinite Integrals, II. § 5.4 § 5.4
54. T 5/8 Substitution, I. § 5.5 § 5.5
55. W 5/9 Substitution, II. § 5.5 § 5.5
56. F 5/11 Review.
FINAL EXAM: Section 1: Monday, 5/14, 8-10am
FINAL EXAM: Section 10: Wednesday, 5/16, 10:15am-12:15pm