Multivariable Calculus

This course is an introduction to multivariable calculus. We will cover the following topics:

  1. Vectors and matrices: We will learn about vector algebra, dot products, matrix operations, and determinants.
  2. Calculus of functions of several variables: We will study limits, continuity, derivatives, and applications of all these concepts.
  3. Multiple integrals: We will explore double and triple integrals, as well as applications such as volume and surface area.
  4. Vector calculus: We will cover vector fields, line integrals, surface integrals, Green’s theorem, Stokes’ theorem, and the divergence theorem.

Course information

Instructor: John Myers
Office: Marano 175
Office hours: 12-12:30 MWF, and by appointment
Syllabus: link

Schedule, slides, exercises, and info

week date topics slides exercises info
Week 4 02.20 fri
02.19 thu Sec 8: The definition of the derivative Sec 8 Slides Sec 8 Exercises Quiz on Sec 5, 6, and 7
02.18 wed Same as below ↓ Same as below ↓ Same as below ↓
02.16 mon Sec 7: Functions of multiple variables, part 3 Sec 7 Slides Sec 7 Exercises
Week 3 02.13 fri Sec 6: Functions of multiple variables, part 2 Sec 6 Slides Sec 6 Exercises
02.12 thu Sec 5: Functions of multiple variables, part 1 Sec 5 Slides Sec 5 Exercises Quiz on Sec 2 and 3
02.11 wed Sec 4: Planes and linear spaces, part 2 Sec 4 Slides Sec 4 Exercises
02.09 mon Same as below ↓ Same as below ↓ Same as below ↓
Week 2 02.06 fri Sec 3: Planes and linear spaces, part 1 Sec 3 Slides Sec 3 Exercises
02.05 thu Same as below ↓ Same as below ↓ Same as below ↓ Quiz on Sec 1
Just vectors in \(\mathbb{R}^2\) and \(\mathbb{R}^3\), no matrices
02.04 wed Sec 2: Vectors and matrices, part 2 Sec 2 Slides Sec 2 Exercises
02.02 mon Same as below ↓ Same as below ↓ Same as below ↓
Week 1 01.30 fri Sec 1: Vectors and matrices, part 1 Sec 1 Slides Same as below ↓
01.29 thu Another “remote day”: Watch the videos below if you haven’t already, continue working on exercises. Same as below ↓
01.28 wed Another “remote day”: Watch the videos below if you haven’t already, continue working on exercises. Same as below ↓
01.26 mon “Remote day”: Watch the videos here, here, here, here, and here. Complete the exercises (see the link to the right). Sec 1 Exercises