# Calculus 3 Course acquired through MIT OpenCourseWare by OCW

This collection of videos is from the video series Calculus 3 Course acquired through MIT OpenCourseWare

Multivariable Calculus course taught by Denis Auroux from Fall 2007 Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 14, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.

00:38:40
• OCW
• 11425 views
• 2 ratings
• Currently 4.0/5 Stars.

### Lecture 1: Dot product

• Learn about dot products of three dimensional vectors.
00:52:50
• OCW
• 5473 views
• 2 ratings
• Currently 4.0/5 Stars.

### Lecture 2: Determinants & cross product

• Learn about finding determinants and cross products of vectors and their applications.
00:51:04
• OCW
• 10673 views
• 3 ratings
• Currently 4.0/5 Stars.

### Lecture 3: Matrices and Inverse Matrices

• Learn how to use matrices and find inverse matrices as they pertain to vectors.
00:49:02
• OCW
• 9982 views
• Currently 4.0/5 Stars.

### Lecture 4: Square systems and equations of planes.

• Learn how to find equations for planes and determine if and where planes intersect each other usi...
00:50:49
• OCW
• 11293 views
• 2 ratings
• Currently 4.0/5 Stars.

### Lecture 5: Parametric equations for lines and curves.

• Learn how to write parametric equations for lines and curves.
00:48:03
• OCW
• 10292 views
• 3 ratings
• Currently 3.0/5 Stars.

### Lecture 6: Velocity, acceleration, and Kepler's second law.

• Learn more about parametric equations and how they pertain to velocity, acceleration, and Kepler'...
00:49:49
• OCW
• 7243 views
• 2 ratings
• Currently 4.0/5 Stars.

### Lecture 7: Review for exam 1

• This is a review lecture on the first 6 lectures in preparation for the first exam.
00:46:12
• OCW
• 16738 views
• Currently 4.0/5 Stars.

### Lecture 8: Level curves, partial derivatives, and tangent plane approximation

• A lecture on level curves, partial derivatives, and tangent planes. The beginning of a study of ...
00:49:43
• OCW
• 5205 views
• Currently 4.0/5 Stars.

### Lecture 9: Max-min problems and least squares.

• A lecture on finding maximum and minimum points as well as the least squares analysis.
00:52:17
• OCW
• 4658 views
• 2 ratings
• Currently 4.0/5 Stars.

### Lecture 10: Second derivative test; and boundaries and infinity

• Learn about the second derivative test and how it can be used to determine things about critical ...