MAT 223: Multivariable Calculus
Fall 2023
Exam 3 information
1. Allowed materials
You are permitted one 3"×5" notecard for use as reference during the exam.
Electronic devices (calculator, laptop, smart phone) are not allowed on exams.
2. How to study
Please see tips from first exam.
3. Exam content
The exam covers everything we have done, up to and including Chapter 12. (Chapter 13 will be on the next exam.) While the exam is cumulative, we will focus on what was not already tested. As mentioned in the syllabus, we do not have time to cover every single topic in class. You are responsible for the material in the sections even if they were not discussed in class. If we didn't talk about something and no exercise problems for a specific concept was ever assigned as homework, it is unlikely it will occur on an exam. Here are some topics we emphasized since the last exam:- differentiability: tangent plane, differential, linear approximation
- gradient: interpretation, chain rule, directional derivative
- chain rule: implicit differentiation
- optimization: critical point, local extremum, global extremum, Lagrange multipliers
As usual, please note that this document is not a contract. I may have inadvertently left something off that ends up on an exam question. Moreover, I will not be able to test all of this material given the time limitations of the exam. I will have to pick and choose some subset of it.