Calculus III

Calculus III

Instructor: Sam C. Collingbourne
Email: sc5197 at columbia dot edu or scc at math dot columbia dot edu
Lecture Times: Monday, Wednesday 1.10pm (section 3)/2.40pm (section 4)
Location: 312 Mathematics Building
Webpage: Here/Courseworks. Homework will be posted to Courseworks
Office: Math 413
Office hours: Room: 413 (may change depending on attendance) Mondays:4.30-5.30pm, Tuesdays: 3-5pm

Teaching Assistants:  Graduate: Yash Deshmukh (deshmukh at math.columbia.edu, Help Room:TuWTh:9-10am), Undergraduate: Aristides Boutris (atb2151 at columbia.edu, Help Room:M:5-6pm,Tu:6-7pm), Ezgi Yildiz (ey2298 at columbia.edu,Help Room:Th:10am-12pm)  

Textbook: Calculus: Early Transcendentals, 9th Edition, by James Stewart. See here for more information.

The textbook is extremely expensive. You are unlikely to refer back to it after you finish with calculus. If you want to purchase a copy, get an older (and cheaper!) edition of the textbook; very little changes except for the problems. You can also find the textbook online/check out it from the library. I will upload my notes on courseworks in files.  

Note that, I will not assign problems from the textbook. I will post (suspiciously similar) problems on gradescope and on coursework/canvas.


Prerequisites: The only prerequisite course is Calculus I (Math UN1101) or equivalent; see here for more information on what constitutes an equivalent. 


Homework: In general, homework will be assigned on Wednesday and due by 10pm the following Wednesday, see the exceptions below (HW9 and 10 will be set on a Monday and due by 10pm the following Monday). Homework will be due on gradescope. You will upload scans of your homework on gradescope, and you will also see your score there. I will upload the homework on both coursework/canvas (in Files) and on gradescope.
You are welcome to work together with other students on the assignments. However, please write your answers in your own words. Please also disclose who you collaborated with.

Important: Late homework will not be accepted.


Tests: There will be two 75-minute midterm exams and a 3-hour final exam.

Midterm 1: 3rd October
Midterm 2: 14th November


Final (Current Projection Not Fixed ): Monday 19th December (Section 3)/Wednesday 21st December

The test dates cannot be moved. You must plan your travel well in advance to not conflict with exam dates.

There will be make-up exams only in exceptional circumstances (for example, for religious reasons or for university athletics competitions). If you believe you cannot take an exam because of such an exceptional circumstance, please contact me as soon as possible.


Grading: The final course grade is weighted as:

Homework: 15%
Midterm 1: 20%
Midterm 2: 25%
Final: 40%

Your bottom three homework scores will automatically be dropped.


Students with disabilities: To receive accommodations for exams (or otherwise), you must register with the Disability Services office and present an accommodation letter.
More information is available here.


Help: Going to university can be hard. I certainly found university challenging, especially the start. So if you are struggling with the course, please seek help. If you don't it may be a tough term.
Please come to my office hours (to be listed on my main page and this syllabus), or to the help room, where there is always TA - your specific TA(s) help room hours will be posted as well. Also, as above work with your friends!


Academic Honesty: You are encouraged to work together with classmates on your homework only. Collaboration during exams is considered cheating and is taken very seriously. Cheating during a midterm or final entails failing the course. Please see the honour code for more information.


Tentative schedule

Date Book Section(s) Homework Notes
7th Sept Brief overview, coordinate systems (12.1, 10.3, 15.7, 15.8)    
12th Sept Vectors (12.2)    
14th Sept Dot product (12.3) HW 1 due  
19th Sept Cross Product (12.4)    
21th Sept Equations of lines and planes (12.5) HW 2 due  
26th Sept Parametric curves, conic sections and quadrics (10.1, 10.5,12.6)    
28th Sept Review HW 3 due    
3rd Oct Midterm 1 Will include (12.1)-(10.5)/not (12.6)
5th Oct Vector-Valued Functions (13.1)  
10th Oct Vector-Valued Functions cont. (13.2)    
12th Oct Multivariable Functions: Intro/Limits (14.1,14.2) HW 4 due  
17th Oct Multivariable Functions: Continuity (14.1, 14.2)    
19th Oct Partial Derivatives (14.3) HW 5 due  
24th Oct Tangent Planes (14.4)    
26th Oct Linear approximations, Differentiablity (14.4) HW 6 due  
31st Oct Linear approximations, differentiablity cont. (14.4)    
2nd Nov The Chain Rule (14.5) HW 7 due    
7th Nov Academic Holiday
9th Nov Review HW 8 due    
14th Nov Midterm 2   Will include (12.6)-(14.5)
16th Nov Directional derivatives/Gradient Vector (14.6)    
21st Nov Directional Derivatives/The Gradient Vector cont. (14.6)    
23rd Nov Academic Holiday  
28th Nov Maxima and minima (14.7)    
30th Nov More Maxima and minima (14.7)  
5th Dec Lagrange multipliers (14.8) HW 9 due    
7th Dec Complex numbers (Appendix H)    
12th Dec Review HW 10 due


I would like to acknowledge that this webpage template is not original and is shamelessly copied from Mike Miller. and Tudor Pădurariu.