UC Davis Math 21C
Calculus

Basic information

CRN code for Section A0x: 3028x, where x=1,2,3,4,or 5.
Room/Time of the Lectures: 12:10-1:00p.m. MWF in Hunt 100
Discussion Section A01: 08:10-9:00p.m. Tues. Bainer 1130 (Jaideep Mulherkar)
Discussion Section A02: 05:10-6:00p.m. Tues. Wellmn 212 (Nick Ross)
Discussion Section A03: 06:10-7:00p.m. Tues. Bainer 1060 (Matthew Low)
Discussion Section A04: 07:10-8:00p.m. Tues. Bainer 1130
Discussion Section A05: 07:10-8:00p.m. Tues. Hart 1130
Instructor: Professor Alexander Soshnikov
Office: 3140 Mathematical Sciences Building
Office Hours: Monday 5:10-6p.m., Thursday 5:30-6:20p.m. plus by appointment
E-mail: soshniko@math.ucdavis.edu
 
Lead TA : Spiros Michalakis
Office: 3137 Mathematical Sciences Building
E-mail: spiros@math.ucdavis.edu
 
TA : Jaideep Mulherkar
Office: 3137 Mathematical Sciences Building
Office Hours: Monday 10-11 a.m., Thursday 12-1 p.m.
E-mail: jmulherkar@math.ucdavis.edu
 
TA : Matthew Low
Office: 3110 Mathematical Sciences Building
Office Hours: Monday 3:30-4:30p.m., Tuesday 2-3 p.m.
E-mail: mlow@math.ucdavis.edu
 
TA : Nick Ross (Section A02)
Office: 2136 Mathematical Sciences Building
Office Hours: M 3:10-4 p.m.
E-mail: rossnc@gmail.com
 
Midterm #1 : Monday, October 30th, in class
Midterm #2 : Monday, November 20th, in class
Final: Thursday, December 14, 10:30am-12:30 pm, 1100 SOCSCI
Grading: Problem sets 20%, each Midterm 20%, Final 40%
Webpage: http://www.math.ucdavis.edu/~soshniko/21C
 

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 Tuesday in My Math Lab

My Math Lab is a great learning experience. It covers all types of homework and exam problems.

Homework will be due next Tuesday by 5 p.m. 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: michalakis87132

Lectures

Lecture 1 (September 29th): Introduction.

Lecture 2 (October 2): Sequences (section 11.1).

Lecture 3 (October 4): Series (section 11.2).

Lecture 4 (October 6): Series ands Integral Test (sections 11.2-11.3).

Lecture 5 (October 9): Integral Test and Comparison Test (sections 11.3-11.4).

Lecture 6 (October 11): Limit Comparison Test and Ratio Test (sections 11.4-11.5).

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

Lecture 8 (October 16): Alternating Series (section 11.6).

Lecture 9 (October 18): Alternating Series and Power Series (sections 11.6 and 11.7).

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

Lecture 11 (October 23): Power Series and Taylor Series (sections 11.7 and 11.8).

Lecture 12 (October 25): Taylor Series and Taylor Formula (sections 11.8 and 11.9).

Lecture 13 (October 27): Convergence of Taylor Series; Error Estimates (section 11.9).

First Midterm (October 30).

Solutions of the First Midterm

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

Lecture 15 (November 3): Vectors (section 12.2).

Lecture 16 (November 6): The Dot Product (section 12.3).

Lecture 17 (November 8): The Dot Product (section 12.3).

Lecture 18 (November 13): The Cross Product (section 12.4).

Lecture 19 (November 15): Lines and Planes in Space (section 12.5).

Lecture 20 (November 17): Lines and Planes in Space (section 12.5) and midterm review.

Second Midterm (November 20).

Solutions of the Second Midterm

Lecture 21 (November 22): Functions of Several Variables (section 14.1).

Lecture 22 (November 27): Limits and Continuity in Higher Dimensions (section 14.2).

Lecture 23 (November 29): Partial Derivatives (section 14.3).

Lecture 24 (December 1): The Chain Rule (section 14.4).

Lecture 25 (December 4): Directional Derivatives and Gradient Vectors (section 14.5).

Lecture 26 (December 6): Tangent Planes and Differentials (section 14.6).

Lecture 27 (December 8): Extreme Values and Saddle Points (section 14.7).

Review Session: Tuesday, December 12, 4:10-6:00pm, 179 Chemistry.

Final Exam: Thursday, December 14, 10:30am-12:30pm, 1100 SocSci.