Calculus III
Contents
Syllabus
You can find the link to 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).
Past Final Exams: Click here to find past MAT 397 final exams.
Extra Resources
Here are two links that might be of use when trying to visualize multidimensional surfaces: Parametric Surfaces and Desmos
You can find lectures on this course material (though much more focused on theory), exams, quizzes, notes, et cetera from the OCW.MIT course taught by Dr. Dennis Auroux at this link.
If you wanted extra practice problems for different topics you will see throughout the semester, you might find this packet a rather good place for problems.
Workbook & Notes
There is a textbook for this course. However, there is no particular textbook which exactly addresses the types of problems we will see in this course. Accordingly, I have written a workbook for the problems that we shall see in this course, this includes space for your notes for each topic we shall see.
Handouts
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.
Projects
Project 1: Geometry Proofs
Project 2: Sunshine Formula
Project 3: Kepler’s Laws
Project 4: Multivariable Derivatives
Project 5: Integrals & Summations
Project 6: Beautiful Mind Problem