Math 21A: Calculus (Fall, 2015)

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Announcements

The Final exam will be in class:

• Final: Friday, December 11, 8:00–10:00 a.m., Haring 2205

It will cover all the material from this quarter, except Sections 3.11 (Linearization) and 4.7 (Newton's method) will not be on the final. Also, it turns out that Section 4.8 (antiderivatives) will be covered at the start of MAT 21B, so it will not be on our final either.

Some sample final problems are here.

Solutions to the sample final problems are here.

Important Dates

• Instruction begins: Friday, September 25
• Last day to add: Friday, October 9
• Last day to drop: Wednesday, October 21
• Last class: Friday, December 4
• Academic holidays: Wednesday, November 11; Thursday–Friday, November 26–27

TA information

Lead TA: Ben Schiffman.
Please e-mail administrative questions about the course to Ben (not me!) at
bcaschiffman@ucdavis.edu

Discussion sections:

• E01, R 3:10–4:00 p.m., Kerr 293, Brian Harvie;
• E02, R 4:10–5:00 p.m., Cruess 107, Ben Schiffman;
• E03, R 5:10–6:00 p.m., Art 217, Yanwen Luo;
• E04, R 6:10–7:00 p.m., Art 217, Yanwen Luo;
• E05, R 7:10–8:00 p.m., Art 217, Yuan Xu;
• E06, R 3:10–4:00 p.m., Hart 1150, Gustavo Navarro.

Calculus Room

The calculus room is located in the ground floor of the Mathematical Science Building (MSB 1118). It is staffed with MAT 21 TAs from 1:00–7:00 p.m. Monday to Thursday and 1:00–6:00 p.m. on Friday. The TAs can answer questions about the homework and course material.

Grade

Grade will be based on the two midterms and the final exam, weighted as follows:

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

There will be no make-up exams. If you require special accomodation in taking the exams, please let me know well in advance of each exam.

Homework will be assigned on this webpage every Friday and is due the following Friday, but it will not be collected or graded. Don't expect to pass this course unless you do the homework.

Exam dates

The Midterms will be in class:

• Midterm 1: Monday, October 19
• Midterm 2: Friday, November 13

The Final is Exam Code U (in class, Haring 2205):

• Final: Friday, December 11, 8:00–10:00 a.m.

All exams are closed book. No calculators or other electronic devices are permitted.

Exam scores will be posted on Smartsite, but this webpage is the homepage for the class. All course information, homework assignments, and other material will be posted here, not on Smartsite.

Syllabus

The department syllabus for MAT 21A is here. We will cover the following topics from the text:

• Chapter 1: Functions
• Chapter 2: Limits of functions and continuity
• Chapter 3: Derivatives
• Chapter 4: Applications of derivatives

Text

The text (Thomas' Calculus) is a new (13th) edition (Early Transcendentals), which comes in both print and digital form. Homework problems will be assigned from the text, but you can use either the print or the digital form. You aren't required to buy the digital text if you don't want to.

The numbering of homework problems and sections in older editions of the text may differ from those in the newest edition, so I recommend that you get the 13th edition (which will also be used in subsequent quarters of the MAT 21 calculus sequence). If you do use the older 12th edition, it is entirely at your own risk, but you may find this transition guide useful.

Midterm 1

The first midterm covers Chapter 2 of the text on limits (with background from Chapter 1).

• 2.1 Rates of change and slopes.
• 2.2 Limits of functions and their properties.
• 2.3 The ε-δ definition of the limit.
• 2.4 One-sided limits. The limit of sin(x)/x as x → 0 and related limits.
• 2.5 Continuous functions: definition and properties.
• 2.6 Limits involving infinity.

The midterms will be returned in discussion sections (Thursday, Oct 29). I will have uncollected exams available in my office hours next week and will also bring them to class. If you have questions about the grading, talk in the first instance to your TA. No requests for regrading the midterm will be considered after Friday, Nov 6.

Solutions to the Midterm 1 are here. Scores are posted on SmartSite.

A sample midterm is here.
Disclaimer: The actual midterm may, and likely will, include questions that cover different topics than the ones in this sample midterm. Solutions to the sample midterm are here.

Midterm 2

Solutions to Midterm 2 are here.

Midterm 2 will be in class on Friday, Nov 13. It will cover Sections 3.1–3.10 from the text on Derivatives. (Section 3.11 will not be on the midterm.)

A sample exam is here.

Solutions to the sample exam are here.

Homework

Set 1 (Friday, October 2)

• Read Chapter 1 in the text. Review tigonometric, exponential, and logarithmic functions.
• Sec. 1.1, p. 11: 1, 4, 6
• Sec. 2.1, p. 64: 1, 4, 19, 21
• Sec. 2.2, p. 74: 1, 4, 11, 15, 22, 32, 33

Set 2 (Friday, October 9):

• Sec. 2.2, p. 74: 44, 47, 53, 56, 60, 61, 63, 66a
• Sec. 2.3, p. 83: 38, 43, 46, 49, 52
• Sec. 2.4, p. 91: 1, 2, 5, 6, 7, 8, 23, 34, 37, 49, 51

Set 3 (Friday, October 16):

• Sec. 2.5, p. 102: 1, 2, 5, 7, 9, 13, 16, 22, 25, 28, 29, 31, 37, 39, 44, 53, 54, 59, 60, 63
• Sec. 2.6, p. 115: 1, 2, 3, 13, 27, 37, 46, 53

Set 4 (Friday, October 23):

• Sec. 3.1, p. 126: 3, 5, 8, 11, 16, 25, 28, 29, 31, 35, 36, 37

Set 5 (Friday, October 30):

• Sec. 3.2, p. 133: 2, 3, 6, 9, 11, 13, 17, 25, 46, 47, 54, 58
• Sec. 3.3, p. 144: 3, 7, 14, 20, 31, 46, 57, 61, 67, 69, 74
• Sec. 3.4, p. 153: 1, 2, 13, 19, 25, 30

  Set 6 (Friday, November 6):

  • Sec. 3.5, p. 160: 3, 8, 13, 25, 60, 62
  • Sec. 3.6, p. 168: 5, 24, 31, 35, 43, 58, 71, 92, 104
  • Sec. 3.7, p. 175: 3, 8, 15, 31, 37, 45, 51
  • Sec. 3.8, p. 185: 13, 20, 27, 30, 32, 97

  Set 7 (Friday, November 13):

  • Sec. 3.9, p. 192: 1, 3, 7, 9, 11, 21, 22, 23, 33, 34, 42, 52, 65
  • Sec. 3.10, p. 198: 1, 12, 17, 23, 29, 30, 44

  Set 8 (Friday, November 20):

  • Sec. 4.1, p. 228: 3, 7, 16, 23, 25, 32, 37, 39, 47, 50, 74, 75, 78, 85

    Set 9 (Monday, November 30):

    • Sec. 4.2, p. 237: 1, 4, 33, 38
    • Sec. 4.3, p. 242: 3, 10, 19, 26, 41, 44, 49, 54, 58, 76
    • Sec. 4.4, p. 248: 1, 5, 11, 19, 37, 45, 51, 57, 68, 77, 80

      Set 10 (Friday, December 4):

      • Sec. 4.5, p. 262: 1, 2, 15, 33, 41, 66
      • Sec. 4.6, p. 270: 3, 8, 9, 15, 20, 24, 25, 61
      • Sec. 4.8, p. 287: 1, 6, 13, 15, 23, 28, 43, 44, 48, 51, 52