Accelerated Multivariable Calculus

Accelerated Multivariable Calculus

Instructor: Sam C. Collingbourne
Email: scc [at] math [dot] columbia [dot] edu
Lecture Times: Tuesday, Thursday 13.10-14.25
Location: 141 Uris Hall
Webpage: Here/Courseworks. Homework will be posted to Courseworks/Gradescope
Office hours: Maths 528 Tuesday, 15.00-16.30 (except 31st Jan, Thursday 2nd Feb)

Teaching Assistants:  Graduate: Taeseok Lee (email:taeseok.lee@columbia.edu, Help Room:Fridays), Undergraduate: TBA (email, Help Room:), TBA (email,Help Room:)  

Textbook: Calculus: Early Transcendentals, 9th Edition, by James Stewart. See here for more information. Note that, I will not assign problems from the textbook.

Notes: I will upload my notes on courseworks in files. For those not registered, here is a link to my notes.

Comment: 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.  


Prerequisites: The prerequisites for the course are Calculus I (Math UN1101) and Calculus II (MATH UN1102); see here for more information on what constitutes an equivalent. 


Homework: I will post problems on gradescope and on coursework/canvas.

Important: Late homework will not be accepted.

Due Date/Time: 11.59pm on due date (see schedule below for dates).

Submission: Homework will be due on gradescope.
You will upload scans of your homework on gradescope, and you will also see your score there.

You are welcome to work together with other students on the assignments. However, please write your answers in your own words.


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

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

Midterm 1: 16th Feb
Midterm 2: 28th Mar

Final (Current Projection Not Fixed): Tuesday 9th May

There will be make-up exams only in exceptional circumstances. 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: 10%
Midterm 1: 20%
Midterm 2: 20%
Final: 50%

Your worst homework score 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: 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, 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
17th Jan Coordinate systems: Cartesian/Polar/Cylindrical/Spherical (12.1, 10.3, 15.7, 15.8)    
19th Jan Vectors and Scalar/Dot Product (12.2/12.3)    
24th Jan Cross Product (12.4)  
26th Jan Equations of Lines and Planes (12.5) HW 1 due   
31th Jan Parametric Curves, Conics, Quadrics  
2nd Feb Vector-Valued Functions (13.1) HW 2 due   
7th Feb Multivariable Functions: Intro/Limits (14.1,14.2)
9th Feb Multivariable Functions: Continuity (14.1,14.2) HW 3 due  
14th Feb Review    
16th Feb Midterm 1  
21st Feb Multivariable Functions: Partial Derivatives (14.3)    Last Day to Drop Classes
23rd Feb Tangent Planes, Linear Approximation, Differentiability (14.4)  
28th Feb Tangent Planes, Linear Approximation, Differentiability (14.4) HW 4 due    
2nd Mar The Chain Rule (14.5)  
7th Mar Directional Derivatives and the Gradient Vector (14.6)    
9th Mar Maxima/Minima (14.6) HW 5 due    
14th Mar Spring Recess
16th Mar Spring Recess    
21st Mar Lagrange Multipliers (14.8)  
23rd Mar Review    
28th Mar Midterm 2    
30th Mar Double Integrals (15.1,15.2)  
4th Apr Double Integrals in Polar Coordinates (15.3,15.4)    
6th Apr Triple Integrals (15.6,15.7,15.8) HW 6 due  
11th Apr Vector Fields, Line Integrals (16.1,16.2)    
13th Apr Green's Theorem (16.3,16.4)    
18th Apr Curl, Divergence (16.5,16.6) HW 7 due
20th Apr Surface Area and Integrals (16.6,16.7)
25th Apr Stokes' Theorem, Divergence Theorem (16.8,16.9)
27th Apr Review HW 8 due


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