Part II: Vector Calculus

Lecture 1: Vector Functions of a Scalar Variable

Video Description: Herb Gross introduces the topic of vector functions of scalar variables and explains why the result is a vector (since the inputs are scalars). He then reviews limits (definition and related theorems) and presents the topic of differentiation of limits of vector functions. Finally, Prof. Gross then provides an example using velocity and acceleration as a demonstration of vector calculus in real life.

Instructor/speaker: Prof. Herbert Gross

Study Guide

Study Guide for Lecture 1: Vector Functions of a Scalar Variable

  • Chalkboard Photos, Reading Assignments, and Exercises (PDF)
  • Solutions (PDF - 2.4MB)

To complete the reading assignments, see the Supplementary Notes in the Study Materials section.

Course Info

Learning Resource Types

theaters Lecture Videos
notes Lecture Notes
assignment_turned_in Problem Sets with Solutions