Math V1201: Calculus III (Section 9 & 10)

Email: hom [at] math.columbia.edu
Location: 207 Math
Time: TR 11:40-12:55 (Section 9) & TR 1:10- 2:25 (Section 10)
Office: 613 Math
Office hours: Tuesday 2:30-3:30 pm, Wednesday 11 am-noon

Homework

Homework will count for 20% of your final grade, and is due on Thursdays before class in the appropriate box outside of 410 Math. Clearly print your first and last name on your assignment. Staple together all of your homework that is due on a given day. Only homework that is turned into the correct location will be graded. You are encouraged to work together with your classmates on the assignments, but the write-up must be in your own words. Late homework will not be accepted. Your lowest homework score will be dropped. Solutions will be posted on Courseworks after each assignment is due.

Exams

There will be two in-class midterms, tentatively scheduled for Tuesday, September 30 and Thursday, October 30. Each midterm will count for 20% of your final grade. The final exam will count for 40% of your final grade, and will be scheduled by the registrar. No calculators will be permitted for use on the exams. There will be no make-up exams.

The final for Section 9 is on Thursday, December 18 at 4:10 pm in Math 207. The final for Section 10 is on Tuesday, December 16 at 1:10 pm in Math 207.

Help

If you find yourself confused, please seek help sooner rather than later. I will be available to answer questions during my office hours. Additionally, the Barnard help room in 333 Milbank is open 10 am-10 pm Monday-Thursday and 1-5 pm on Friday. Information about tutoring services is available here.

In order to receive disability-related academic accommodations, students must first be registered with the Disability Services (DS). More information on the DS registration process is available online at www.health.columbia.edu/ods. Registered students must present an accommodation letter to the professor before exam or other accommodations can be provided. Students who have, or think they may have, a disability are invited to contact DS for a confidential discussion.

Schedule & Assignments

Prerequisites: Math V1101 or the equivalent
Textbook: Calculus: Early Transcendentals, 7th Edition, J. Stewart. The cheapest way for you to buy a new book is directly from the publisher:
          www.cengagebrain.com/micro/ColumbiaCalculus.
More information about the textbook is available here. WebAssign will not be required for this course, but may be a helpful supplement for you to have; more information here. The material that we will cover will come mostly from Chapters 12, 13 and 14. The homework assignments below all come from the 7th Edition of Stewart.

Date Section            Homework
from Calculus: Early Transcendentals
7th Edition, J. Stewart.                                
9/2 Conic sections (10.5)
9/4 Coordinate systems in 2- and 3-dimensions
(10.3, 12.1, first parts of 15.8, 15.9) 		10.5: 4, 7, 15, 24, 30, 33, 40, 45, 52, 55
10.3: 4, 5
12.1: 3, 6, 15, 22
15.8: 1, 3, 8, 9
15.9: 1, 3, 7, 8
Due 9/11 (HW 1)
9/9 Vectors (12.2)
9/11 The dot product (12.3) 12.2: 3, 4, 7, 16, 21, 25, 26, 27, 43, 46, 48
12.3: 1, 4, 9, 13, 19, 24, 28, 44, 48, 54, 64
Due 9/18 (HW 2)
9/16 The cross product (12.4)
9/18 Equations of lines and planes (12.5) 12.4: 6, 13, 15, 19, 26, 35, 38, 43, 45, 53
12.5: 1, 5, 12, 15, 20, 24, 32, 37, 55, 64, 79
Due 9/25 (HW 3)
9/23 Cylinders and quadric surfaces (12.6) 12.6: 3, 5, 9, 14, 15, 19, 21-28, 33, 46
Due 10/2 (HW 4)
9/25 Review Suggested Practice Problems
(do NOT hand-in)
10.5: 29, 42, 48, 54
10.3: 3, 13, 17, 22, 65
12.1: 17, 40, 41
15.8: 4, 5, 6, 7
15.9: 4, 5, 6, 7
12.2: 8, 26, 43
12.3: 27, 47, 53, 54
12.4: 30, 46, 53
12.5: 16, 21, 31, 38, 39, 67, 68, 75, 76
12.6: 6, 20, 34, 45, 49
Chapter 12 T/F Quiz (p 834) 1-22
9/30 Midterm Exam I
10/2 Vectors functions (13.1) 13.1 2, 5, 7, 14, 15, 21-26, 29, 47, 48
Due 10/9 (HW 5)
10/7 Derivatives and integrals of vector functions (13.2) [last day to drop class]
10/9 Arc length and curvature (13.3) 13.2: 5, 9, 15, 17, 21, 24, 28, 33, 35, 41, 49, 54
13.3: 2, 3, 13, 15, 17, 19, 21, 33a, 47
Due 10/16 (HW 6)
10/14 Motion in space: velocity and acceleration
(13.4)
10/16 Functions of several variables, limits,
continuity (14.1, 14.2) 		13.4: 4, 8, 11, 16, 19, 22, 27, 36, 39, 40
14.1: 17, 25, 28, 32, 59-64
14.2: 7, 10, 13, 14, 15, 18, 31, 37
Due 10/23 (HW 7)
10/21 Partial derivatives (14.3)
10/23 Tangent planes and linear approximations (14.4) 14.3: 25, 29, 34, 43, 50, 52, 54, 61, 67, 71, 75, 93
14.4: 3, 5, 13, 19, 25, 31
Due 10/30 (HW 8)
10/28 Review Suggested Practice Problems
(do NOT hand-in)
13.1: 29, 48
13.2: 14, 18, 27, 34
13.3: 6, 14, 22
13.4: 13, 38
TF Quiz Chapter 13 (p 873): 1-12, 14
14.1: 21, 36
14.2: 9, 11, 12, 16, 38
14.3: 26, 33, 49, 51, 65, 72
14.4: 2, 4, 14, 21, 32, 33, 42
TF Quiz Chapter 14 (p 967): 1-3, 5, 8
10/30 Midterm Exam II No homework
11/4 University Holiday: Election Day
11/6 The chain rule (14.5) 14.5: 5, 9, 13, 20, 23, 27, 33, 50
Due 11/13 (HW 9)
11/11 Directional derivatives and the gradient vector (14.6)
11/13 More on directional derivatives (14.6) 14.6: 5, 7, 10, 12, 15, 17, 21, 24, 28, 35, 42, 45, 54, 59, 63
Due 11/20 (HW 10)
11/18 Maxima and minima (14.7)
11/20 Maxima and minima (14.7) 14.7: 1, 5, 9, 12, 13, 17, 29, 31, 34, 36, 39, 41, 43, 46, 56
Due Monday 12/1 at noon (HW 11)
11/25 Lagrange multipliers (14.8) 14.8: 4, 7, 9, 17, 21, 43
Due 12/4 (HW 12)
11/27 University Holiday: Thanksgiving
12/2 Complex numbers (Appendix H) Appendix H: 3, 7, 15, 23, 29, 35, 39, 45
do NOT hand in, but this material will be on the final
12/4 Review

Suggested Practice Problems
(do NOT hand-in)
10.5: 41, 47
10.3: 16, 20
12.1: 12, 40
15.8: 2, 7, 10
15.9: 2, 7, 8
12.2: 29, 44
12.3: 26, 45, 53, 64
12.4: 37, 44, 46
12.5 16, 32, 35, 40, 57, 78
12.6: 44, 46
13.1: 30, 47
13.2: 22, 28, 35
13.3: 5, 13, 19, 23
13.4: 15, 19, 25, 35, 42
14.1: 17, 45, 59-64
14.2: 11, 13, 17, 18, 37, 38
14.3: 30, 34, 52, 77
14.4: 15, 18, 19
14.5: 12, 24, 34, 48, 51
14.6: 8, 16, 22, 27, 29, 44, 55, 57, 64a
14.7: 14, 32, 35, 39, 44
14.8: 6, 16, 19, 42, 44b
Appendix H: 22, 32, 36, 38, 44

Office hours:
Friday 12/12, 2:30-3:30 pm
Monday 12/15, 11-noon