MAT 397

Calculus III

Contents

1 Syllabus
2 Student Help Resources
3 Resources
4 Handouts
5 Course Notes & Workbook
6 Quizzes
7 Exams
8 Wolfram Demonstrations

Syllabus

You can find the link to the general syllabus and the course syllabus below:

Student Help Resources

Mental Health Resources: Click here to find a list of mental health resources available to you at Syracuse University as well as national hotlines. Never hesitate to make use of these services if you need them. If you know someone in distress, say something and be sure to make them aware of these resources.

Mathematics Help Resources: Click here to find Mathematics help offered through the Mathematics Department and click here to find Mathematics help offered through CLASS (Center for Learning and Student Success).

General Tutoring Resources: Visit the Free Academic Assistance List or Overall Tutoring Source List.

Past Final Exams: Click here to find past MAT 397 final exams.

Past MAT 397 Courses: You can find my past MAT 397 courses under the ‘Courses’ tab.

Resources

Challenge Integrals: A collection of difficult integrals and series. Solving these problems could result in prizes!

Symbolab: Symbolab is a useful online computational device, which will not only integrate but show steps. This can be a useful study tool, but be careful how you use it!

WolframAlpha: WolframAlpha is a useful online computation device. WolframAlpha takes written commands, interprets the input, and performs the computations. WolframAlpha is an online ‘watered down’ version of Mathematica, which at this time is offered to Syracuse University students for free! However, WolframAlpha will take many Mathematica commands, as I outline in this document.

Reference Tables: I created a reference table which is not just useful for Calculus, but most of the more applied mathematics courses you could take as an undergraduate.

Extra Book Problems: You can find extra recommended book problems at this link.

Other Lectures/Notes: There are a number of excellent sources of additional Multivariable Calculus lectures and notes. If you want or need more explanations or problems, I would recommend the following:

Multivariable Calculus 2007 (But especially the lectures, found here)
Calculus 3: Professor Leonard
Paul’s Online Notes (Especially good for problems/solutions)
Multivariable Calculus 2010
Multivariable Calculus 2006
Calculus of Several Variables 2010
Multivariable Calculus (Khan Academy)

Handouts

Calculus III: Course Prerequisite ‘Bootcamp’

Derivative Flashcards

Integral Flashcards

Calculus I Shortsheet

Calculus I Review

Geometry True/False

Dot Product, Cross Product, Projections

Exam 1 Review

Course Notes & Workbook

There is a textbook for this course. However, there is no single textbook which exactly addresses all the types of problems we will see in this course. Accordingly, I have written a workbook for the majority of problem types that we shall see in this course, this includes space for your notes for each topic. You can also find my lecture notes, as well as a student version of the notes with the problem solutions removed.

Workbook: Student Version
Workbook: Instructor Version

Lecture Notes (Instructor Version)

Quizzes

Quiz Solutions

Exams

Exam 1: Problems Solutions

Exam 2: Problems Solutions

Wolfram Demonstrations

The Wolfram Demonstrations page contains over 12,000 different demonstrations of applications of Mathematica programs to dozens of fields, including Calculus. You can interact with these demonstrations by downloading the Wolfram CDF player for your browser. Feel free to use these to help you engage with course concepts, and explore other topics.