EPGY Multivariate Calculus M044

  • Review of Vector Algebra
  • Calculus of Vector-Valued Functions
  • Differential Calculus of Scalar and Vector Fields
  • Applications of the Differential Calculus
  • Line Integrals
Course Text

Calculus, vol. 2, 2nd ed., by Tom Apostol, ISBN#0-471-00007-8
The EPGY Multivariate Calculus course covers much of what is generally covered in a fourth-quarter college honors calculus course. The course focuses on theory and rigorous proofs of theorems. The course is designed to take about 12-14 weeks to complete on average. (5 units)

Lectures

A sample lecture screen from Multivariate Calculus. Audio is accompanied by graphical displays.
 The course is divided into several lessons, most of which begin with a lecture presented as digitized audio accompanied by either handwritten or formatted text.

View detailed lesson contents.

Exercises and Quizzes

After most lectures, students are asked to try some sample questions about the new material. Once they have some practice, they receive graded online quizzes. Often, students are asked to fill in steps of proofs of the theorems taught in the course.

Each week, students report their exercise and quiz scores to their instructor, who keeps detailed student records and identifies special problem areas.

Homework

Throughout the course there are four homework assignments from the textbook. These assignments are mailed to the instructor to be hand-graded. Students should expect to spend between 5-10 hours per week completing all the online and offline course assignments.

Exams

The course has a "take-home" midterm and final examination, which are sent to the student by the tutor. The course grade is largely based on the final exam grade.

Linear Algebra || Table of Courses || Differential Equations