This Course at MIT pages provide context for how the course materials published on OCW were used at MIT. They are part of the OCW Educator initiative, which seeks to enhance the value of OCW for educators.
This page focuses on the course 18.022 Calculus of Several Variables as it was taught by Prof. James McKernan in Fall 2010.
This is a course in multivariable calculus, with more focus on mathematical concepts than 18.02 Multivariable Calculus.
Course Goals for Students
The students will learn about vectors, dot products, cross products, how to describe lines and planes, functions of more than one variable, parameterizations of curves and surfaces, partial derivatives, iterated integrals, gradient, divergence and curl, Green's Theorem, Stokes' Theorem, and the divergence theorem.
Calculus I GIR
Any of the following courses at MIT will prepare you for 18.022:
Calculus II GIR
Every fall semester
The students' grades were based on the following activities:
This course is significantly smaller than 18.02, which usually has close to 500 students.
Breakdown by Year
This is intended mainly as a course for freshmen.
Typical Student Background
- Most MIT students will take 18.02, which emphasizes applications of calculus to the sciences (especially physics).
- This course, 18.022, is geared to students who have a more theoretical interest in multivariable calculus, perhaps because they are interested in majoring in mathematics.
- Some students may have seen calculus in high school and want to take a more challenging class.
How Student Time Was Spent
During an average week, students were expected to spend 12 hours on the course, roughly divided as follows:
3 hours per week
- Met 3 times per week for 1 hour per session; 37 sessions total.
- The final exam was held during Finals Week in one 3-hour session.
2 hours per week
- Met 2 times per week for 1 hour per session; 26 sessions total.
- Students chose 1 of 4 scheduled times to attend; ~20 students in each section.
- Led by the teaching assistants.
Out of Class
Lead Instructor (Prof. James McKernan)
- The lead instructor developed the course material, structured the course, and delivered the lectures
- This course had four teaching assistants
- Each teaching assistant led 1/4 of the students in a recitation section; each section met twice a week for 1 hour each session
- The teaching assistants graded the problem sets and the exams