Lecturer:  Maria Angelica Cueto 

Email:  macueto at math dot columbia dot edu 
Location:  207 Mathematics Building 
Time:  TR 11:40am12:55pm (Section 8). 
Office hours:  TR 10:30am11:30am (Room 621 Math) or by appointment 
Teaching assistants:  Paul Lewis , Dowon Lim and Samantha Zeller . Help Room office hours 
Schedule and Assignments  Textbook  Exams  Homework  Help  Disability Services 

The book is available at the reserve desk in the math library, 303 Math. More details on the book can be found here. We will mainly cover Chapters 12, 13 and 14. If you have an earlier version of the textbook, then it is entirely your responsibility to deal with any differences between editions. In particular, written homework problems will be assigned by problem number and you will be expected to answer the question with that number in the current edition. Access to WebAssign is NOT required for students in this section of Calculus III, but it could be useful as a source to practice problems.
TopIf you have a conflict with any of the exam dates, you must contact me ahead of time so we can make arrangements. (At least a week ahead is preferable.) If you are unable to take the exam because of a medical problem, you must go to the health center and get a note from them  and contact me as soon as you can.
No course material, notes or summary cards will be allowed during the midterms and final exams. Calculators are not required for this course and will not be allowed on exams.
TopStudents with disabilities requiring special accommodation should contact the Office of Disability Services (ODS) promptly to discuss appropriate arrangements. More information can be found here.
TopHomework will count for 20% of your final grade, and should be turned in by 4 PM on the due date (mostly Tuesdays) in the appropriate box outside of 410 Math. Clearly print your first and last name (as it appears on the registrar) 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 strongly 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.
To receive full credit for a solution, it is not enough for you to simply write down the correct answer. You must also show all relevant work in an organized fashion. Include explanatory words or phrases if it is not completely obvious how one step leads to the next, so that any other calculus student would be able to read your solution and understand how you obtained your answer. Circle or otherwise clearly indicate your final answer, and include units (meters, seconds, square feet, etc.), if applicable.
Your TA will verify that you are working the assigned problems,
but only four of the problems (marked after the due date by a star)
are fully graded. Homework solutions will be posted here on the
respective due date:
HW1: due Sept. 10 (exercises graded: 12.2.12, 15.8.9, 12.2.21, 12.2.32 (+12.2.51 bonus)) Solutions.
HW2: due Sept.17 (exercises graded: 12.3.43, 12.3.49 (+12.3.56 bonus), 12.4.15, 12.4.20 ) Solutions.
HW3: due Sept. 24 (exercises graded: 12.5.21, 12.5.23, 12.5.39, 10.5.34) Solutions.
HW4: due Sept. 30 (exercises graded: 12.6.4, 12.6.15, 12.6.31, 12.6.36) Solutions.
HW5: due Oct. 8 (exercises graded: 13.1.2, 13.1.9, 13.1.27, 13.1.40) Solutions.
HW6: due Oct. 15 (exercises graded: 13.2.7, 13.2.41 (+13.2.51 bonus), 14.1.15, 14.1.30) Solutions.
HW7: due Oct. 22 (exercises graded: 14.1.26, 14.2.16. 14.2.38, 14.3.29) Solutions.
HW8: due Oct. 29 (exercises graded: (14.3.94 bonus), 14.4.21, 14.4.31, 14.5.13, 14.5.38) Solutions.
HW9: due Nov. 19 (exercises graded: 14.6.56 (+14.6.66.a bonus), 14.7.12, 14.7.39, 14.7.46) Solutions.
HW10: due Nov. 26 (exercises graded: 14.8.18, 14.8.36, 13.3.13, 13.3.32 (+13.3.52 bonus)) Solutions.
HW11: due Dec. 5 (exercises graded: 13.4.16, 13.4.22, H.12, H.21) Solutions.
If you're having trouble, get help immediately. Everyone who works seriously on mathematics struggles. But if you don't get help promptly you will soon be completely lost. The first places to look for help are my office hours and the course TA in the help room. Talking to your other classmates can also be helpful. The Barnard Help room in 333 Milbank is open 10 am10 pm MondayThursday and 15 pm on Friday. You may drop by whenever the Help Room is open; no appointment is necessary.
TopDATE  READING  HOMEWORK 
Sept. 3rd 
§12.1, first parts of §10.3, §15.8 and §15.9: Coordinate systems in 2 and 3dimensions 
Due 9/10 Assignment #1 §12.1: 4, 12, 15, 37, 39. §15.8: 5, 7, 9. §15.9: 5, 6, 10. 
Sept. 5th 
§12.2: Vectors 
Due 9/10 Assignment #1 §12.2: 3, 21, 29, 32, [51 (bonus)]. 
Sept. 10th 
§12.3: The Dot Product 
Due 9/17 Assignment #2 §12.3: 1, 7, 11, 19, 43, 49, 53, [56 (bonus)]. 
Sept. 12th 
§12.4: The Cross Product 
Due 9/17 Assignment #2 §12.4: 4, 8, 15, 20, 34, 44. 
Sept. 17th 
§12.5: Equations of lines and planes 
Due 9/24 Assignment #3 §12.5: 2, 5, 9, 12, 14, 18, 21, 23, 28. 
Sept. 19th 
§10.5: Conic sections 
Due 9/24 Assignment #3 §12.5: 34, 39, 47, 49. §10.5: 34, 40, 48. 
Sept. 24th 
§12.6: Cylinders and quadratic surfaces 
Due 9/30 (Monday) Assignment #4 §12.6: 4, 7, 13, 14, 15, 30, 31, 36. 
Sept. 26th  
Practice Midterm 1 Solutions. 
Oct. 1st   Midterm 1 with solutions 
Oct. 3rd 
§13.1: Vector functions 
Due 10/8 Assignment #5 §13.1: 2, 4, 6, 9, 12, 14, 27, 29, 40, 42, 48. 
Oct. 8th   
Oct. 8th  Review of limits and
continuity in one variable, §13.2: Derivatives and integrals of vector functions 
Due 10/15 Assignment #6 §13.2: 3, 5, 7, 9, 21, 27, [51 (bonus)]. 
Oct. 10th 
§13.2: Derivatives and integrals of vector functions (continued) §14.1: Functions of several variables 
Due 10/15 Assignment #6 §13.2: 28, 33, 37, 41. §14.1: 9, 10, 15, 20, 25, 30. 
Oct. 15th 
§14.1: Functions of several variables (continued) §14.2: Limit and continuity of functions of several variables 
Due 10/22 Assignment #7 §14.1: 11, 32, 46, 47, 49, 66, 67. 
Oct. 17th  §14.2: Limit and continuity of functions of several variables (continued) §14.3: Partial derivatives 
Due 10/22 Assignment #7 §14.2: 8, 9, 16, 17, 21, 26, 38. §14.3: 29, 32, 33, 34, 35, 55, 58, 67, 68. 
Oct. 22th 
§14.3: Partial derivatives (continued) §14.4: Tangent planes and linear approximation 
Due 10/29 Assignment #8 §14.3: [94 (bonus): sketch the graph if you can], 95. §14.4: 3, 5, 11, 14, 17, 21, 25, 31, 33, 42. 
Oct. 24th 
§14.5: Chain rule 
Due 10/29 Assignment #8 §14.5: 4, 5, 13, 24, 34, 38, 39. 
Oct. 29th 

Practice Midterm 2 Solutions 
Oct. 31st   Midterm 2 with solutions 
Nov. 5th 


Nov. 7th 
§14.6: Directional derivatives and the gradient vector 
Due 11/19 Assignment #9 §14.6: 9, 17, 23, 29, 34, 46, 49, 56, [66 a (bonus)]. 
Nov. 12th 
§14.7: Critical points, maxima and minima 
Due 11/19 Assignment #9 §14.7: 2, 4, 6, 8, 12, 19. 
Nov. 14th  DROP DEADLINE FOR OTHER SCHOOLS  
Nov. 14th 
§14.7: Critical points, maxima and minima 
Due 11/19 Assignment #9 §14.7: 31, 35, 39, 46, 51, 56. 
Nov. 19th 
§14.8: Lagrange multipliers 
Due 11/26 Assignment #10 §14.8: 6, 9, 10, 14, 15, 18, 20, 23, 36, 42. 
Nov. 21st 
§13.3: Arc lengths and curvature 
Due 11/26 Assignment #10 §13.3: 4, 5, 11, 13, 17, 25, 30, 32, 38, 46, [52 (bonus): draw the pictures by hand]. 
Nov. 26th 
§13.4: Motion in space: velocity and acceleration 
Due 12/05 (Thursday) Assignment #11 §13.4: 3, 5, 6, 11, 16, 19, 22, 32, 36, 39. 
Nov. 28th 


Dec. 3rd 
Appendix H: Complex Numbers 
Due 12/05 (Thursday) Assignment #11 Appendix H: 1, 6, 11, 12, 16, 20, 21, 29, 39, 44. 
Dec. 5th 

Practice problems Solutions I Solutions II Solutions III Solutions IV 
Dec. 19th 

