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.

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.

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 |

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 |

- Quiz 1, Solutions
- Quiz 2, Solutions
- Quiz 3, Solutions
- Quiz 4, Solutions
- Quiz 5, Solutions
- Quiz 6, Solutions
- Quiz 7, Solutions
- Quiz 8, Solutions
- Quiz 9, Solutions

Please see sample lab for an example of a lab submission.

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 |

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 |

- Previous Calculus III that I taught in Fall 2015
- MIT OpenCourseWare
- 3Blue1Brown YouTube page - An awesome channel