Math V1201: Calculus III (Section 9 & 10)
Email: hom [at] math.columbia.eduLocation: 207 Math
Time: TR 11:4012:55 (Section 9) & TR 1:10 2:25 (Section 10)
Office: 613 Math
Office hours: Tuesday 2:303:30 pm, Wednesday 11 amnoon
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 writeup 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 inclass 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 makeup 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 am10 pm MondayThursday and 15 pm on Friday. Information about tutoring services is available here.In order to receive disabilityrelated 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 equivalentTextbook: 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 3dimensions (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, 2128, 33, 46 Due 10/2 (HW 4) 
9/25  Review  Suggested Practice Problems (do NOT handin) 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) 122 
9/30  Midterm Exam I  
10/2  Vectors functions (13.1)  13.1 2, 5, 7, 14, 15, 2126, 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, 5964 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 handin) 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): 112, 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): 13, 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 handin) 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, 5964 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, 2:303:30 pm Monday 12/15, 11noon 