Math 21C: Calculus (Fall, 2010)

Final

Solutions for the final are here. Final scores have been posted on SmartSite.

The final will be cumulative and cover all of the material from this course. Here are some sample final questions. Here are some solutions to the sample final questions.

A summary of topics for Midterm 1 is here.
A summary of topics for Midterm 2 is here.
A summary of topics after Midterm 2 is here.

I will hold final week office hours: Wednesday, Dec 8: 2:00–4:00 p.m.

Important Dates

• Instruction begins: Thursday, September 23
• Last day to add: Friday, October 8
• Last day to drop: Wednesday, October 20
• Last class: Friday, December 3
• Academic holidays: Thursday, November 11; Thursday–Friday, November 25–26.

TA information

Lead TA: Sonny Mohammadzadeh

Discussion sections:

• A01, T 0510-0600P, HARING 2016, Euna Chong
• A02, T 0610-0700P, HARING 2016, Benoit Richard
• A03, T 0710-0800P, HARING 2016, Eric Brattain-Morrin
• A04, T 0410-0500P, HARING 2016, Euna Chong
• A05, T 0810-0900P, WELLMAN 1, James Polsinelli

TA Office Hours:

• Euna Chong (eachong@math.ucdavis.edu): T 2:45-3:45pm in MSB 3137
• Benoit Richard (bjr@math.ucdavis.edu): M 4:30-5:30 pm in MSB 2232
• Eric Brattain-Morrin (brattain@math.ucdavis.edu): F 3:30-4:30 pm in MSB 2232
• James Polsinelli (polsi020@math.ucdavis.edu): M 3:30-4:30 pm in MSB 2103

Exams

There will be two in-class midterms and a final. There will be no makeup exams.

• Midterm 1: Monday, October 18
• Midterm 2: Wednesday, November 17
• Final: Friday, December 10, 10:30 a.m.–12:30 p.m. (Exam Code V)

Midterm 1

Solutions to Midterm 1 are here.

Here are some sample midterm questions.

Here are solutions to the sample midterm questions. I strongly recommend that you work through the problems yourself before you look at the solutions.

Here is a summary of the basic results about sequences and series that we have covered.

Midterm 2

Solutions to Midterm 2 are here.

Midterm 2 will cover the following topics.

• Power series and Taylor expansions. Sec. 11.7–Sec. 11.10. For Sec. 11.10, we covered the binomial expansion. There won't be questions on power series solutions of differential equations, but you do need to know how to differentiate, integrate, and manipulate power series.
• Vectors, dot and cross products. Sec. 12.1–Sec. 12.5.
• Partial derivatives. Sec. 14.3.

Here are some sample midterm questions.

Here are solutions to the sample midterm questions. I strongly recommend that you work through the problems yourself before you look at the solutions.

Here is a summary of main results for the midterm.

Grade

Grade will based on the midterm and final exams, weighted as follows:

• 30%: Midterm 1
• 30%: Midterm 2
• 40%: Final

Homework will be assigned but will not be collected or graded. Don't expect to pass this course unless you do the homework.

Grades will be available on Smartsite.

Syllabus

We will cover most of Chapters 11, 12, and 14 of the text (but not Chapter 13). The two main topics are:

• Sequences and series (including Taylor series)
• Multivariable calculus (vectors and partial derivatives)

The detailed Department listing of the course syllabus is here.

Homework

Set 1 (Friday, October 1)
Sec 11.1, p. 741: 2, 9, 19, 24, 29, 41, 46, 59, 81, 90, 92, 115, 116
Sec 11.2, p. 753: 3, 4, 5, 14, 21, 23, 24, 29, 34, 37, 45, 70, 71, 77

Set 2 (Friday, October 8)
Sec 11.3, p. 759: 1, 2, 3, 5, 9, 16, 18, 21, 24, 25, 28, 33, 39, 40, 41
Sec 11.4, p. 765: 3, 8, 9, 17, 20, 25, 34, 35, 40

Set 3 (Friday, October 15)
Sec 11.5, p. 770: 2, 3, 7, 11, 16, 22, 25, 27, 35, 37, 45, 47
Sec 11.6, p. 765: 1, 4, 8, 9, 11, 13, 22, 26, 33, 34, 45, 57, 58, 60, 62

Set 4 (Friday, October 22)
Sec 11.7, p. 788: 1, 4, 9, 12, 15, 24, 27, 28, 33, 36, 41, 42, 45, 46, 47

Set 5 (Friday, October 29)
Sec 11.8, p. 794: 2, 3, 5, 8, 9, 12, 17, 18, 25, 29
Sec 11.9, p. 803: 5, 8, 13, 20, 27, 29, 39, 46, 50, 54
Sec 11.10, p. 803: 1, 3, 8
Read Sec. 11.10 and familiarize yourself with Table 11.1 of frequently used power series

Set 6 (Friday, November 5)
Read over Sec 12.1. We'll start with Sec 12.2 (Vectors) in class on Monday, November 1.
Sec 12.1, p. 836: 5, 11, 17, 41, 45, 49
Sec 12.2, p. 844: 1,4, 9, 10, 17, 22, 25, 33, 36, 41, 42
Sec 12.3, p. 854: 1, 4, 13, 15, 18, 19, 21, 29, 33, 34,35, 40

Set 7 (Friday, November 12)
Sec 12.4, p. 862: 1, 6, 8, 15, 16, 21, 22, 23, 28, 31, 32
Sec 12.5, p. 871: 1, 2, 8, 17, 22, 23, 27, 34, 67, 68
Read over Sec 14.1 and 14.2 (we'll return to them later)
Sec 14.3, p. 978: 4, 7, 12, 15, 16, 21, 23, 26, 32, 33, 41, 42, 47, 50, 53, 57, 63, 66, 69

Set 8 (Friday, November 26)
Sec 14.2, p. 966: 3, 9, 14, 26, 27, 29, 32, 38, 50
Sec 14.4, p. 987: 1, 4, 5, 7, 8, 25, 29, 33, 38, 49, 50
Sec 14.5, p. 997: 1, 2, 5, 8, 9, 10, 14, 15, 17, 20, 23, 28, 36

Set 9 (Friday, December 3)
Sec 14.6, p. 1008: 1, 5, 6, 9, 10, 13, 19, 20, 25, 26, 37, 62
Sec 14.7, p. 1018: 1, 2, 27, 28, 29, 30, 31, 34, 38, 41, 44
Sec 14.8, p. 1031: 1, 4, 5, 9, 10, 12, 25, 41, 43