UC Davis Math 21A
Calculus
Basic information
| CRN code for Section C0x: | 60307 + x, where x=1,2,3,4.
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| Room/Time of the Lectures: | 10:00-10:50a.m. MWF in Social Sciences 1100 |
| Discussion Section C01: | 07:10-08:00p.m. Tues. Olsen 147 (TA in charge: Arpy Mikaelian) |
| Discussion Section C02: | 05:10-06:00p.m. Tues. Olsen 223 (TA in charge: Creed Erickson)
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| Discussion Section C03: | 06:10-07:00p.m. Tues. Olsen 223 (TA in charge: Creed Erickson)
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| Discussion Section C04: | 06:10-07:00p.m. Tues. Olsen 147 (TA in charge: Samuel Denton) |
| Instructor: | Professor Alexander Soshnikov |
| Office: | 3140 Mathematical Sciences Building |
| Office Hours: | Wednesday 3:10-4p.m., Thursday 5:10-6p.m., Friday 11:00-11:50 a.m.
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| E-mail: |
soshniko@math.ucdavis.edu |
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| Lead TA : | Arpy Mikaelian |
| Office: | 3131 Mathematical Sciences Building |
| Office Hours: | Tue 11:00-11:50a.m.
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| E-mail: |
arpymikaelian@math.ucdavis.edu |
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| TA : | Creed Erickson |
| Office: | 2202 Mathematical Sciences Building |
| E-mail: |
caverick@math.ucdavis.edu |
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| TA : | Samuel Denton |
| Office: | 2145 Mathematical Sciences Building |
| E-mail: |
sdenton@math.ucdavis.edu |
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| Quiz #1 : | Tuesday, October 23, during your discussion session | |
| Quiz #2 : | Tuesday, November 13, during your discussiobn session | |
| Quiz #3 : | Tuesday, December 4, during your discussion session | |
| Final: | Monday, December 10, 10:30am-12:30 pm, room 1100 SocSci.
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| Grading: |
Three Quizes 20% each, Final Exam 40%. |
| Webpage: | http://www.math.ucdavis.edu/~soshniko/21A | |
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Textbook:
Thomas' Calculus: Early Transcendentals , 11th edition, by Weir/Hass/Giordano.
My Math Lab: This is the online component, included with the purchase of a new book. If you buy a
used book, you will have to buy an access to My Math Lab separately. MyMathLab comes with an online text version of the textbook,
so you might choose to buy just MyMathLab ISBN:032119991 (no hard copy of the book).
MyMathLab will work on any computer that (a) runs Windows, (b) has MyMathLab plugins installed. This means that you can work with
MyMathLab from your home desktop or a laptop.
In addition, the following campus labs that are set up with My Math
Lab:
1131 Meyer Hall - 31 PCs
177 MU - 29 PCs
75 Hutchison - 26 PCs
163 Shields - 22 PCs
Go to http://clm.ucdavis.edu/ to see the lab schedules.
Syllabus
Homework
Homework will be assigned each Wednesday from the textbook. The Quizes will be based on the homework
problems. In addition, for training purposes, some problems will be
assigned in My Math Lab
My Math Lab is a great learning experience. It covers all types of homework and exam problems.
Students will have to register
(with the access code from their My Math Lab kits/textbooks).
Register your MyMathLab coursework at MYCourseCompass
with Course ID: soshnikov25254.
Homework 1.
Reading: Sections 2.1-2.4.
Exercises: 2.1.3, 2.1.5, 2.1.6, 2.1.32 (pages 75-77), 2.2.9, 2.2.29, 2.2.34, 2.2.50, 2.2.58
(pages 83-85), 2.3.5, 2.3.22, 2.3.26, 2.3.35, 2.3.57 (pages 92-94), 2.4.6, 2.4.12, 2.4.45 (pages 107-108).
Homework 2.
Reading: Sections 2.5-2.7.
Exercises: 2.5.3, 2.5.14, 2.5.35, 2.5.48, 2.5.54, 2.5.56 (pages 117-118), 2.6.4, 2.6.5, 2.6.15, 2.6.23, 2.6.31, 2.6.47,
2.6.53 (pages 129-130), 2.7.7, 2.7.14, 2.7.23, 2.7.31 (pages 136-137).
Homework 3.
Reading: Sections 2.7, 3.1, and 3.2.
Exercises: 2.7.19, 2.7.20, 2.7.29 (page 137), 3.1.4, 3.1.9, 3.1.15, 3.1.22, 3.1.25, 3.1.32, 3.1.33, 3.1.49, 3.1.50,
3.1.54, 3.1.56, 3.1.57, 3.1.58 (pages 152-155).
Homework 4.
Reading: Sections 3.2, 3.3, and 3.4.
Exercises: 3.2.9, 3.2.12, 3.2.24, 3.2.27, 3.2.33, 3.2.36, 3.2.44, 3.2.49 (pages 166-168),
3.3.5, 3.3.8, 3.3.17, 3.3.29, 3.3.24 (pages 178-181), 3.4.11,
3.4.14, 3.4.25, 3.4.42, 3.4.43, 3.4.48, 3.4.49 (pages 186-187).
Homework 5.
Reading: Sections 3.5, 3.6, and 3.7.
Exercises: 3.5.2, 3.5.15, 3.5.42, 3.5.59, 3.5.66, 3.5.69, 3.5.91, 3.5.94, 3.5.106 (pages 199-201),
3.6.7, 3.6.28, 3.6.41, 3.6.52, 3.6.63 (pages 209-210), 3.7.7, 3.7.14, 3.7.39, 3.7.80, 3.7.95
(pages 221-222).
Homework 6.
Reading: Sections 3.7 and 3.8.
Exercises: 3.7.5, 3.7.10, 3.7.13, 3.7.36, 3.7.37, 3.7.44, 3.7.51, 3.7.92, 3.7.96 (pages 221-222),
3.8.4, 3.8.9, 3.8.23, 3.8.34, 3.8.43, 3.8.52, 3.8.59, 3.8.61, 3.8.64, 3.8.70, 3.8.80 (pages 230-231).
Homework 7.
Reading: Sections 3.9, 3.10, 4.1, 4.2.
Exercises: 3.9.20, 3.9.32, 3.10.12, 3.10.17, 3.10.18, 3.10.33, 3.10.36, 3.10.42, 4.1.26, 4.1.32,
4.1.33, 4.1.50, 4.1.53, 4.1.64, 4.2.3, 4.2.4, 4.2.10, 4.2.18, 4.2.21, 4.2.24, 4.2.34.
Homework 8.
Reading: Sections 4.2, 4.3, and 4.4.
Exercises: 4.2.54, 4.2.55, 4.3.4, 4.3.7, 4.3.10, 4.3.18, 4.3.31, 4.3.36, 4.3.40, 4.3.51, 4.3.56,
4.4.22, 4.4.36, 4.4.41, 4.4.68.
Homework 9.
Reading: 4.4, 4.5, and 4.6.
Exercises: 4.4.34, 4.4.37, 4.4.40, 4.4.41, 4.4.50, 4.4.54, 4.4.61, 4.4.62, 4.4.70, 4.5.8, 4.5.10, 4.5.18, 4.5.22, 4.5.29,
4.5.42, 4.5.47, 4.6.11, 4.6.20, 4.6.29, 4.6.32.
Lectures
- Lecture 1 (October 1).
Rates of Change and Limits (Section 2.1).
- Lecture 2 (October 3).
Calculating Limits Using Limit Laws (Section 2.2).
- Lecture 3 (October 5).
The Precise Definition of a Limit (Section 2.3).
- Lecture 4 (October 8).
Precise Definition of a Limit (continuation). One-sided Limits and Limits at Infinity (Section 2.4).
- Lecture 5 (October 10). Infinity Limits and Asymptotes (Section 2.5).
- Lecture 6 (October 12). Continuity (Section 2.6).
- Lecture 7 (October 15). Continuity (Section 2.6).
- Lecture 8 (October 17).Intermediate Value Theorem (Section 2.6).
Tangent Lines and Derivatives. (Section 2.7).
- Lecture 9 (October 19). The Derivative Function (Section 3.1).
Quiz 1 (October 23).
- Lecture 10 (October 22). Derivative Rules (Section 3.2).
- Lecture 11 (October 24). Derivative Rules (continuation, Section 3.2).
- Lecture 12 (October 26). Velocity and Acceleration (Section 3.3).
- Lecture 13 (October 29). Derivatives of trigonometric functions (Section 3.4).
- Lecture 14 (October 31). Chain Rule and Parametric Curves (Section 3.5).
- Lecture 15 (November 2). Chain Rule and Parametric Curves (continuation, Section 3.5).
Implicit differentiation (Section 3.6).
- Lecture 16 (November 5). Implicit differentiation (Section 3.6).
- Lecture 17 (November 7). Derivatives of logs and inverse functions (Section 3.7).
- Lecture 18 (November 9). Inverse Trigonometric Functions (Section 3.8).
Quiz 2 (November 13).
- Lecture 19 (November 14). Related Rates (Section 3.9). Linearization and Differentials (Section 3.10).
- Lecture 20 (November 16). Maxima, Minima, and the Derivative (Section 4.1).
- Lecture 21 (November 19). Mean Value Theorem (Section 4.2).
- Lecture 22 (November 21). Mean Value Theorem (continuation). First Derivative Test (Section 4.3).
- Lecture 23 (November 26). Monotone Functions and First Derivative Test (Section 4.3).
- Lecture 24 (November 28). Concavity and Curve Sketching (Section 4.4).
- Lecture 25 (November 30). Applied Optimization Problems (Section 4.5).
- Lecture 26 (December 3). Applied Optimization Problems (continued).
Quiz 3 (December 4).
- Lecture 27 (December 5). L'Hopital's Rule (Section 4.6).
- Lecture 28 (December 7). Discussion.
Final Exam: Monday, December 10th, 10:30a.m.-12:30p.m. (1100 SocSci)