MATH 2374: CSE Multivariable Calculus Syllabus
Spring Semester, 2025
Course Schedule
| Type | Instructor | Time | Location |
|---|---|---|---|
| Lecture | Erkao Bao | MWF 1:25 PM - 2:15 PM | Anderson Hall 370 |
| Discussion (22) | Te-Lun Lu (Alan) | TTh 12:20 PM - 1:10 PM | Folwell Hall 105 |
| Discussion (24) | Te-Lun Lu (Alan) | TTh 1:25 PM - 2:15 PM | Amundson Hall 162 |
| Discussion (21) | Jeremiah Williams | TTh 12:20 PM - 1:10 PM | Folwell Hall 4 |
| Discussion (23) | Jeremiah Williams | TTh 1:25 PM - 2:15 PM | Akerman Hall 313 |
Office Hours
| Name | Time | Location |
|---|---|---|
| Erkao Bao | 2:30pm-4:00pm MW | 356 Vincent Hall |
| Te-Lun Lu (Alan) | 14:30pm-16:30pm TTh | 454 Vincent Hall |
| Jeremiah Williams | 10am-12pm TTh | 105 Vincent Hall |
Zoom Meeting ID: 973 584 3950
Course Summary
- Derivative as a linear map.
- Differential/integral calculus of functions of several variables, including change of coordinates using Jacobians.
- Line/surface integrals.
- Gauss’, Green’s, and Stokes’ theorems.
- Training in the use of computer technology included.
Prerequisites
- Courses: MATH 1272, MATH 1282, MATH 1372, or MATH 1572
- Minimum Grade: C-
- Programs: CSE or pre-Bioprod/Biosys Engr
Goals and Objectives
- Graph and analyze surfaces using software and by hand.
- Compute partial and directional derivatives.
- Evaluate multivariable integrals over complex domains.
- Express curves and surfaces in parametric form.
- Apply Green’s, Stokes’, and Gauss’ Theorems.
Required Textbook
Title: Vector Calculus (6th Ed) by Marsden & Tromba
Online Reading
Grading Breakdown
Total Points: 365
- Quizzes (80 points): Weekly on Thursdays (13 total, lowest 3 dropped).
- Midterms (3*50 points)
- 3 midterms, lowest score dropped.
- Final Exam (130 points): Thursday, May 8; 12:00 PM - 3:00 PM.
- Lab Participation (5 points): based on the submission of lab HW.
Exam times
- Midterm Schedule:
- Midterm 1: Tuesday, February 18
- Midterm 2: Tuesday, March 25
- Midterm 3: Tuesday, April 15
- Final Exam: Thursday, May 8; 12:00 PM - 3:00 PM.
Letter Grades (minimum scores):
- 90%: A-
- 80%: B-
- 65%: C-
- 50%: D
Class Policies
- Calculator Policy: Not allowed during quizzes and exams.
- Communication: Students must stay informed via announcements, Canvas, and email.
Weekly Topics:
MATH 2374: Spring 2025 Week-by-Week Schedule
| Week | Dates | Quiz / Exam Dates | Lecture Topics / Agenda |
|---|---|---|---|
| Week 1 | Jan 20 - Jan 24 | (1.1-1.2) Review of Vectors in first discussion; (1.3, 1.5) Matrices, Determinants, and Cross Products, n-Dimensional Space | |
| Week 2 | Jan 27 - Jan 31 | Quiz 1 | (2.1) The Geometry of Multivariable Functions; (2.3) Differentiation; (2.4) Intro to Paths and Curves |
| Week 3 | Feb 3 - Feb 7 | Quiz 2 | (2.5) Multivariable Chain Rule, Properties of Derivatives; (2.6) Gradients and Directional Derivatives |
| Week 4 | Feb 10 - Feb 14 | Quiz 3 | (5.1-5.2) Intro to Double Integrals; (5.3-5.4) General Double Integrals and Changing the Order of Integration |
| Week 5 | Feb 17 - Feb 21 | Midterm 1 and Quiz 4 | Midterm 1; (5.5) Triple Integrals |
| Week 6 | Feb 24 - Feb 28 | Quiz 5 | (4.1-4.2) Acceleration, Newton’s 2nd Law, Arc Length; (4.3-4.4) Vector Fields, Divergence and Curl |
| Week 7 | Mar 3 - Mar 7 | Quiz 6 | (7.1-7.2) Path Integrals and Line Integrals; (8.1) Green’s Theorem |
| Spring Break | Mar 10 - Mar 14 | No classes. | Spring Break |
| Week 8 | Mar 17 - Mar 21 | Quiz 7 | (8.3) Conservative Vector Fields; (6.1 and part of 6.2) Change of Variables in 2D |
| Week 9 | Mar 24 - Mar 28 | Midterm 2 and Quiz 8 | Midterm 2; (1.4, 6.2) Cylindrical and Spherical Coordinates, Change of Variables in 3D |
| Week 10 | Mar 31 - Apr 4 | Quiz 9 | (7.3-7.4) Parametric Surfaces and Surface Area; (7.5-7.6) Scalar Integrals over Surfaces, Vector Integrals over Surfaces |
| Week 11 | Apr 7 - Apr 11 | Quiz 10 | (7.6) Continued from previous week; (8.2) Stokes’ Theorem |
| Week 12 | Apr 14 - Apr 18 | Midterm 3 and Quiz 11 | Midterm 3; (8.4) Gauss’s Theorem, aka The Divergence Theorem; (3.1-2) Iterated Partials and Taylor Expansions |
| Week 13 | Apr 21 - Apr 25 | Quiz 12 | (3.3 part 1) Local Maxima and Minima; (3.3 part 2) Absolute Maxima and Minima |
| Week 14 | Apr 28 - May 2 | Quiz 13 | Lagrange Multipliers |
| Week 15 | May 5 - May 6 | Last day of instruction |
Useful Links
Note: Syllabus details may be subject to change with advance notice.
Disability Accommodations:
The Disability Resource Center (DRC): Phone: (612) 626-1333, Webpage: https://diversity.umn.edu/disability