Lecture 15: Partial differential equations and review for second exam
In this lecture, the instructor reviews the main topics covered over the past few weeks, including functions of several variables, partial derivatives, and optimization problems. They also provide a cultural note on the importance of partial differential equations in understanding the world around us. The lecture concludes with a discussion of how to handle non-independent variables using the method of Lagrange multipliers.
A bit of a lecture on partial differential equations and review for the second exam in the course.
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 15, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.
- Lecture Notes - Lecture Notes from this lesson.
- Transcript of Lesson - Written transcript from this lesson.
- Practice Exam 2A - A practice exam for the current material
- Practice Exam 2A Solutions - Solutions to the practice exam
- Practice Exam 2B - A practice exam for the current material
- Practice Exam 2B Solutions - Solutions to the practice exam
- What are some topics covered in Calculus 3?
- What are partial differential equations and how do you solve them?
- How do you find the minimum, maximum, and saddle points of a surface?
- Where can I find review problems for Multivariable Calculus?
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Staff Review
This is a great wrap-up and review of the previous seven lectures in preparation for the second exam in this course. Every type of problem covered in the second part of the course is discussed briefly. The resources are really great as well for this lecture.
