# Calculus 3

## Learn everything from Calculus 3, then test your knowledge on 275+ quiz questions

How this Calculus 3 course is set up to make complicated math easy:

This approximately 145-lesson course includes video and text explanations of everything from Calculus 3, and it includes more than 275 quiz questions (with solutions!) to help you test your understanding along the way. Calculus 3 is organized into the following sections:

• Three Dimensional Space
• Partial Derivatives
• Applications of Partial Derivatives
• Multiple Integrals
• Vectors Basics
• Line Integrals
• Surface Integrals

And here’s what you get inside of every lesson:

Videos: Watch over my shoulder as I solve problems for every single math issue you’ll encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the yucky, fuzzy middle parts, and how to simplify the answer when you get it.

Notes: The notes section of each lesson is where you find the most important things to remember. It’s like Cliff Notes for books, but for math. Everything you need to know to pass your class and nothing you don’t.

Quizzes: When you think you’ve got a good grasp on a topic within a course, you can test your knowledge by taking one of our quizzes. If you pass, wonderful. If not, you can review the videos and notes again or ask me for help in the Q&A section.

Here's what some of my Calculus 3 students have told me:

“Krista is an excellent teacher and her course is comprehensive. She is a clear communicator, makes complex calculus topics easily understandable, and uses video tools expertly.” - John

“One of the best instructors that I have ever learned from. She has a way of explaining topics so clearly that they become fairly easy. I took her calculus 2 course because I had a hard time understanding my teacher. I finished the class with a B+ mostly because I watched her videos, read the outline that she provides and practiced problems in the book.” - Desarael B.

“I have taken all 3 of her classes and sadly she doesn't have anymore. I honestly feel like more people including teachers should take notes on how she goes about teaching these difficult concepts. I flew through this class, not because it is easy, but because she makes it so easy to grasp everything. I am honestly bummed that this is the last leg of my journey with this incredible teacher. If people were half as good as she is at teaching there would be a lot more people in STEM. P.S. I am writing this review 2 months since completing her Calc 3 and have since gone on to take Partial Differentials, Linear Algebra, and Analysis. There would be absolutely no way I would've been able to learn this much in so little time without her. She gave me such a strong grasp on math and how to approach problems that I feel I have the tools to really explore so much more. Without her I'm sure I would still be learning derivatives. I would recommend this class to anyone going to college, in college, or out of college. These classes are some of the best reference materials you'll ever have. The only thing I do wish is to have some quizzes at least for the ODE's to really cement an understanding of the math. Already miss learning from you Krista! Thanks for everything you've helped me learn.” - Morgan G.

“This is the PERFECT GRE MATH SUBJECT TEST review for Calc III and DE. Thank you!!” - Carter R.

Krista King

Math class was always so frustrating.

I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half.

I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep others out of that aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all.

## Course Path

Getting started
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Three-dimensional coordinate systems
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Sketching graphs and level curves
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Lines and planes
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Limits and continuity
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Partial derivatives
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Differentials
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Chain rule
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Implicit differentiation
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Directional derivatives
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Linear approximation and linearization
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Tangent planes and normal lines
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Optimization
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Applied optimization
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Lagrange multipliers
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Approximating double integrals
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Double integrals
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Double integrals in polar coordinates
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Applications of double integrals
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Approximating triple integrals
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Triple integrals
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Triple integrals in cylindrical coordinates
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Triple integrals in spherical coordinates
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Change of variables
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Applications of triple integrals
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Introduction to vectors
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Dot products
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Cross products
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Vector functions and space curves
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Derivatives and integrals of vector functions
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Arc length and curvature
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Velocity and acceleration
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Line integrals
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Green's theorem
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Curl and divergence
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Parametric surfaces and areas
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Surface integrals
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Stokes' and divergence theorem
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Final exam
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