EPGY Multivariable Differential Calculus M52A

  • Vectors and Vector-Valued Functions in 2- and 3-Space
  • Tangent and Normal Vectors
  • Curvature
  • Functions of Two or More Variables
  • Partial Derivatives and Differentiability
  • Directional Derivatives and Gradients
  • Maxima and Minima
  • Optimization Using Lagrange Multipliers
Course Text

Calculus: Late Transcendentals Single and Multivariable, Eighth Edition by Howard Anton. ISBN#0471482730
(This course covers material previously covered in EPGY M044. The second half of the former M044 course will be covered in M52B Multivariable Integral Calculus.). Differential calculus for functions of two or more variables. Prerequisite: M042 or equivalent. (4 units).

Lectures

A sample lecture screen from Multivariable Differential Calculus.
 The course is divided into lessons, most of which begin with a multimedia lecture.

View detailed lesson contents (.pdf format).

Exercises and Homework

After each lecture students are given problems to work, some of which are to be written up and handed in. Each week students send their exercises to the instructor to be graded. The instructor keeps detailed student records and identifies special problem areas.

Exams

The course has two "take-home" tests and a final examination, which are mailed to the tutor for grading.

Linear Algebra || Table of Courses || Multivariable Integral Calculus