UC Davis Math 21C
Calculus

Basic information

CRN code for Section A0x: 79802+x, where x=1,2,3, or 4.
Room/Time of the Lectures: 09-09:50a.m. MWF in Kleiber 3
Discussion Section A01: 07:10-8:00p.m. Thursday, Olson 205 (Jaideep Mulherkar)
Discussion Section A02: 04:10-5:00p.m. Thursday, Olson 205 (Jing Xia)
Discussion Section A03: 05:10-6:00p.m. Thursday, Hart 1130 (Jing Xia)
Discussion Section A04: 06:10-7:00p.m. Thursday, Hart 1130 (Jeffery Anderson)
Instructor: Professor Alexander Soshnikov
Office: 3140 Mathematical Sciences Building
Office Hours: M 2:40p.m.-4p.m., Tue 3:40-5p.m.
E-mail: soshniko@math.ucdavis.edu
 
Lead TA : Marion Moore
Office: 2125 Mathematical Sciences Building
Office Hours: M 1-2, W 11-12
E-mail: marion@math.ucdavis.edu
 
TA for Section A01: Jaideep Mulherkar
Office: 3206 Mathematical Sciences Building
Office Hours: W 2-3
E-mail: jmulherkar@math.ucdavis.edu
 
TA for Sections A02 and A03: Jing Xia
Office: 2204 Mathematical Sciences Building
Office Hours: M 1-2, T 1-2
E-mail: jxia@math.ucdavis.edu
 
TA for Section A04: Jeffrey Anderson
Office: 3217 Mathematical Sciences Building
Office Hours: T 10-11
E-mail: janderson@math.ucdavis.edu
 
Quiz 1: Thursday, April 23
Quiz 2: Thursday, May 14
Quiz 3: Thursday, May 28
Midterm: Wednesday, April 29
Final: Saturday, June 6, 01:00-03:00p.m. (123 SCI LECTURE)
Grading: Quizzes 30%, Midterm 30%, Final 40%
Webpage: http://www.math.ucdavis.edu/~soshniko/21C
 

Each student must come to his/her own Discussion Section for the Quizzes!

Textbook:

Thomas' Calculus: Early Transcendentals , 11th edition, by Weir/Hass/Giordano.

Syllabus

Homework

Homework will be assigned each Wednesday. The homeworks will not be collected. However, the Quizzes will heavily rely on the homework.

Homework 1

(assigned on April 1):
Homework 1 (pdf file)

Homework 1 (PostScript file)

Homework 2

(assigned on April 8):
Homework 2 (pdf file)

Homework 2 (PostScript file)

Homework 3

(assigned on April 15):
Homework 3 (pdf file)

Homework 3 (PostScript file)

Homework 4

(assigned on April 22):
Homework 4 (pdf file)

Homework 4 (PostScript file)

Midterm Exam Solutions

Homework 5

(assigned on May 1):
Reading: Sections 12.1 and 12.2

Problems: 12.1.12, 12.1.20, 12.1.24, 12.1.26, 12.1.30, 12.1.31, 12.1.32, 12.1.38, 12.1.50, 12.2.6, 12.2.14, 12.2.26, 12.2.30, 12.2.34, 12.2.38, 12.2.41.

Homework 6

(assigned on May 6):
Reading: Sections 12.3, 12.4, and 12.5

Problems: 12.3.4, 12.3.6, 12.3.14, 12.3.18, 12.3.26, 12.3.32, 12.4.4, 12.4.16, 12.4.30, 12.4.38, 12.4.42, 12.5.4, 12.5.10, 12.5.24, 12.5.36, 12.5.48, 12.5.58

Homework 7

(assigned on May 13):
Reading: Sections 13.1, 13.3, and 13.4.

Problems: 13.1.4, 13.1.14, 13.1.24, 13.1.30, 13.1.34, 13.1.46, 13.3.6, 13.3.8, 13.3.12, 13.3.14, 13.3.16, 13.4.4, 13.4.6, 13.4.12, 13.4.14, 13.4.16, 13.4.18, 13.4.20.

Homework 8

(assigned on May 20):
Reading: Sections 14.1, 14.2, and 14.3.

Problems: 14.1.8, 14.1.32, 14.1.42, 14.1.58, 14.1.60, 14.2.10, 14.2.12, 14.2.16, 14.2.20, 14.2.22, 14.2.24, 14.2.26, 14.2.30, 14.2.38, 14.2.40, 14.2.42, 14.2.48, 14.2.54, 14.2.56, 14.3.12, 14.3.14, 14.3.16, 14.3.26, 14.3.30, 14.3.32, 14.3.48, 14.3.52.

Homework 9

(assigned on May 27):
Reading: Sections 14.4-14.6.

Problems: 14.4.4, 14.4.6, 14.4.8, 14.4.10, 14.4.14, 14.4.20, 14.4.24, 14.4.26, 14.4.30, 14.5.4, 14.5.10, 14.5.20, 14.4.24, 14.4.28, 14.6.6, 14.6.16, 14.6.28, 14.6.32.

Lectures

Lecture 1 (March 30): Introduction. Sequences (section 11.1)

Lecture 2 (April 1): Sequences (section 11.1).

Lecture 3 (April 3): Series (section 11.2).

Lecture 4 (April 6): Integral Test (section 11.3).

Lecture 5 (April 8): Comparison Test ( section 11.4).

Lecture 6 (April 10): Limit Comparison Test and Ratio Test (sections 11.4-11.5).

Lecture 7 (April 13): Root Test (section 11.5).

Lecture 8 (April 15): Alternating Series (section 11.6).

Lecture 9 (April 17): Alternating Series (section 11.6).

Lecture 10 (April 20): Power Series (section 11.7).

Lecture 11 (April 22): Taylor Series (section 11.8).

Quiz 1 (April 23)

Each student must come to his/her own Discussion Section for the Quiz!

Lecture 12 (April 24): Convergence of Taylor Series (sections 11.9).

Lecture 13 (April 27): Applications of Power Series (section 11.10). Midterm Exam Review.

Midterm Exam (Wednesday, April 29).

Lecture 14 (May 1): Three-Dimensional Coordinate Systems (section 12.1).

Lecture 15 (May 4): Vectors (section 12.2).

Lecture 16 (May 6): Dot Product (section 12.3).

Lecture 17 (May 8): Cross Product (section 12.4).

Lecture 18 (May 11): Lines and Planes in Space (section 12.5).

Lecture 19 (May 13): Functions of Several Variables (section 13.1).

Quiz 2 (Thursday, May 14)

Each student must come to his/her own Discussion Section for the Quiz!

Lecture 20 (May 15): Arc Length and the Unit Tangent Vector (section 13.3).

Lecture 21 (May 18): Curvature and Unit Normal Vector (section 13.4).

Lecture 22 (May 20): Functions of Several Variables (section 14.1).

Lecture 23 (May 22): Limits and Continuity in Higher Dimensions (section 14.2).

Lecture 24 (May 27): Partial Derivatives (section 14.3).

Quiz 3 (Thursday, May 28)

Each student must come to his/her own Discussion Section for the Quiz!

Lecture 25 (May 29): The Chain Rule (section 14.4).

Lecture 26 (June 1): Directional Derivatives and Gradient Vectors (section 14.5).

Lecture 27 (June 3): Tangent Planes and Differentials (section 14.6).

Review Session: TBA

Final Exam: Saturday, June 6, 1:00-3:00p.m.

The final exam takes place in 123 SCI LECTURE