CSE Multivariable Calculus


Welcome to the course website for CSE Multivariable Calculus. Here you will find the syllabus, calendar, as well as other course material that I will add as the semester progresses.


IMPORTANT

Read the syllabus, this greatly decreases your chances of missing an important date or misunderstanding the structure of the course.

This website will be updated with useful information (like handouts and solved exercises/quizzes), as well as important announcements that you might miss if you don't go to class. I suggest you bookmark it so that it's easy to reach.

Syllabus: click here.


Important dates.

Date Location Event
Thursday September 27th Willey Hall 175. 5pm-5:50pm or 6pm-6:50pm* First midterm
Thursday October 25th Willey Hall 175. 5pm-5:50pm or 6pm-6:50pm* Second midterm
Thursday November 29th Willey Hall 175. 5pm-5:50pm or 6pm-6:50pm* Third midterm
Friday December 14th Anderson Hall 250 (12, 14), 310 (21-25), 350 (11, 13, 15). 12pm-3pm Final exam
* Or during your discussion if it overlaps with these times.

Office hours

Wednesdays from 8am to 9am and from 10am to 12pm in my office: Vincent Hall 531.
You can also email me for an appointment if necessary: reyg@umn.edu.

Teaching assistant Sections Office Office hours
Zanbing Dai 11, 13 Vincent Hall 557 Mon 9am-11am
Craig M. Corsi 12, 14 Vincent Hall 559 Tue 12:20pm-2:20pm and Wed 3pm-5pm
Bo Zhu 15 Vincent Hall 522 Tue 10:20am-12:20pm
Steven Collazos 21 Vincent Hall 504 Tue 2:30pm-3:30pm and Thu 3:35pm-4:45pm
Jorin Senek Schug 22, 24 Vincent Hall 360 Thu 9am-11am
Zeshen Gu 23, 25 Vincent Hall 522 Mon 1:30pm-3:30pm, Tue 2:30pm-3:30pm, 4:30pm-5:30pm

Resources

Quizzes: Labs are submitted through Canvas
Please see sample lab for an example of a lab submission.
Starting with Lab 02 please load math2374.nb first.
Lab Due date
Lab 00 (Introduction to Mathematica) Not graded
Lab 01 (Graphing surfaces), Addendum. Tuesday September 18th at 11pm
Lab 02 (Continuity and differentiability) Tuesday September 25th at 11pm
Lab 03 (Tangent planes) Tuesday October 2nd at 11pm
Lab 04 (Directional derivatives, gradients, and vector fields) Tuesday October 9th at 11pm
Lab 05 (Applications of integration) Tuesday October 16th at 11pm
Lab 06 (Parametric curves) Tuesday October 23rd at 11pm
Lab 07 (Parametric surfaces) Tuesday October 30th at 11pm
Lab 08 (Arclength and line integrals) Tuesday November 6th at 11pm
Lab 09 (Line integrals) Tuesday November 13th at 11pm
Lab 10 (Surface integrals of scalar functions) Tuesday November 20th at 11pm
Lab 11 (Surface integrals of vector fields) Tuesday November 27th at 11pm
Lab 12 (Stokes' theorem) Tuesday December 4th at 11pm
Lab 13 (Divergence (Gauss') theorem) Tuesday December 11th at 11pm

Detailed schedule

This will be filled as the course progresses.
Date Sections covered Suggested problems Misc
September 5th 1.2, 1.3 Section 1.3: 2, 3, 6, 9, 12, 13
September 7th 1.3 15, 16, 20, 21, 29, 34, 39
September 12th 1.5 Section 1.5: 1, 2, 7, 8
September 14th 2.1, 2.3 Section 2.1: 7, 9, 10, 12-18, 27, 37, 38. Section 2.3: 1, 2, 3
September 19th 2.3 Section 2.3: 5-8, 11-19, 24-26
September 21th 2.5 (Chain Rule) 7, 8, 9, 17, 18, 32, 33, 35, 36
September 26th 2.4, 2.6, 5.1, 5.2 2.6: 1-10, 12, 13, 17, 23, 24. 5.2: 1-4
September 27th Midterm Midterm 1, Solutions
September 26th 5.2-5.4 5.3: 1-4, 10, 12-17, 5.4: 1-5, 14
October 3rd 5.4-5.5, 4.2 5.5: 1-28, 4.2: 1-7, 10-16
October 5th 4.3-4.4 4.3: 1,3,5,7,8, 15-18, 21, 22, 24, 4.4: 1-4, 9-16
October 10th Recap of the meaning of curl, path and line integrals (7.1, 7.2) 7.1: 1-13, 7.2: 1-3 (more on Friday)
October 12th Green's theorem (8.1) 8.1: 9, 10, 11, 15, 18, 20. 23 Some more examples
October 17th Changes of variables in two dimensions (6.2) 6.2: 1-5, 7-11, 16-19
October 19th Changes of variables in three dimensions (6.2) 6.2: 15, 20, 21, 23, 25, 29, 30, 33, 34
October 24th Review
October 25th Midterm Practice problems new version Midterm 2, Solutions
October 26th Parametrized surfaces (7.3) 7.3: 1-3, 7-19, 21, 22.
October 31th Area/Surface intergrals (7.4, 7.5) 7.4: 1-3, 5-17, 21, 24-27, 7.5: 1-17, 20, 23.
November 2nd Surface intergrals of vector fields (7.6) 7.6: 1, 3, 10, 11, 21.
November 7th Stokes Theorem (8.2) 8, 13, 17 Practice problems
November 9th Gauss'/Divergence Theorem (8.4) Practice problems
November 14th Taylor's approximation Practice problems
November 16th Local extrema Practice problems
November 21st Global extrema Not covered
November 23rd
November 28th
November 29th Midterm Midterm 3 Midterm 3 Rubric
November 30th
December 5th
December 7th
December 12th
December 14th Final Exam Final Solutions

Other resources