Become a Calculus 3 Master
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HOW BECOME A CALC 3 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY
This 340lesson course includes video and text explanations of everything in calculus 3, and it includes more than 20 quizzes (with solutions!) to help you test your understanding along the way. Become a Calculus 3 Master is organized into four sections:
These are the four chapters at the beginning of every calculus 3 class.
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 STUDENTS OF CALCULUS 3 MASTER 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.
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Section 1: Calculus 3  Introduction & Resources  

Lecture 1  00:44  
Welcome to Calculus 3! 

Section 2: Partial Derivatives  Limits and continuity  
Lecture 2  05:36  
Domain of a multivariable function calculus video example. 

Lecture 3  05:09  
Domain of a multivariable function calculus video example. 

Quiz 1 
Domains

3 questions  
Lecture 4 
Domains quiz solutions

Article  
Lecture 5  06:43  
Partial derivatives as limits calculus video example. 

Quiz 2 
Limits

3 questions  
Lecture 6 
Limits quiz solutions

Article  
Lecture 7  34:19  
Precise definition of the limit for multivariable functions calculus video example. 

Lecture 8  04:07  
Discontinuities of a multivariable function calculus video example. 

Quiz 3 
Discontinuities

3 questions  
Lecture 9 
Discontinuities quiz solutions

Article  
Section 3: Partial Derivatives  Partial derivatives  
Lecture 10  Article  
Course notes for partial derivatives in two variables. 

Lecture 11  07:25  
Partial derivatives of functions in two variables calculus video example. 

Quiz 4 
Two variables

3 questions  
Lecture 12 
Two variables quiz solutions

Article  
Lecture 13  Article  
Course notes for partial derivatives in three variables. 

Lecture 14  05:56  
Partial derivatives of functions in three variables calculus video example. 

Quiz 5 
Three or more variables

3 questions  
Lecture 15 
Three or more variables quiz solutions

Article  
Lecture 16  Article  
Course notes for higher order partial derivatives. 

Lecture 17  05:57  
Higher order partial derivatives calculus video example. 

Quiz 6 
Higher order

3 questions  
Lecture 18 
Higher order quiz solutions

Article  
Section 4: Partial Derivatives  Tangent planes and normal lines  
Lecture 19  Article  
Course notes for equation of the tangent plane. 

Lecture 20  05:22  
Equation of the tangent plane calculus video example. 

Quiz 7 
Equation of the tangent plane

4 questions  
Lecture 21 
Equation of the tangent plane quiz solutions

Article  
Lecture 22  Article  
Course notes for normal line to the surface. 

Lecture 23  11:15  
Normal line to the surface calculus video example. 

Quiz 8 
Normal line to the surface

2 questions  
Lecture 24 
Normal line to the surface quiz solutions

Article  
Section 5: Partial Derivatives  Linear approximation and linearization  
Lecture 25  Article  
Course notes for linear approximation of multivariable functions. 

Lecture 26  06:35  
Linear approximation for multivariable functions calculus video example. 

Quiz 9 
Linear approximation

3 questions  
Lecture 27 
Linear approximation quiz solutions

Article  
Lecture 28  06:45  
Linearization of a multivariable function calculus video example. 

Section 6: Partial Derivatives  Differentials  
Lecture 29  Article  
Course notes for differential of the function. 

Lecture 30  04:24  
Differential of a multivariable function calculus video example. 

Quiz 10 
Differential of the function

3 questions  
Lecture 31 
Differential of the function quiz solutions

Article  
Section 7: Partial Derivatives  Chain rule  
Lecture 32  Article  
Course notes for chain rule for multivariable functions. 

Lecture 33  18:04  
Chain rule for multivariable functions calculus video example. 

Lecture 34  09:31  
Chain rule and tree diagrams for multivariable functions calculus video example. 

Quiz 11 
Chain rule

3 questions  
Lecture 35 
Chain rule quiz solutions

Article  
Section 8: Partial Derivatives  Implicit differentiation  
Lecture 36  Article  
Course notes for implicit differentiation for multivariable functions. 

Lecture 37  08:14  
Partial derivatives and implicit differentiation calculus video example. 

Quiz 12 
Implicit differentiation

3 questions  
Lecture 38 
Implicit differentiation quiz solutions

Article  
Section 9: Partial Derivatives  Directional derivatives  
Lecture 39  Article  
Course notes for directional derivatives in the direction of the vector. 

Lecture 40  05:54  
Directional derivatives in the direction of the vector calculus video example. 

Quiz 13 
Directional derivatives in the direction of the vector

2 questions  
Lecture 41 
Directional derivatives in the direction of the vector quiz solutions

Article  
Quiz 14 
Directional derivatives in the direction of the angle

3 questions  
Lecture 42 
Directional derivatives in the direction of the angle quiz solutions

Article  
Section 10: Partial Derivatives  Gradient vectors  
Lecture 43  Article  
Course notes for gradient vectors. 

Lecture 44  03:50  
Gradient vectors calculus video example. 

Lecture 45  Article  
Course notes for gradient vectors and the tangent plane. 

Lecture 46  04:27  
Gradient vectors and the tangent plane calculus video example. 

Quiz 15 
Gradient vectors and the tangent plane

3 questions  
Lecture 47 
Gradient vectors and the tangent plane quiz solutions

Article  
Lecture 48  05:57  
Maximum rate of change and its direction calculus video example. 

Quiz 16 
Maximum rate of change and its direction

3 questions  
Lecture 49 
Maximum rate of change and its direction quiz solutions

Article  
Section 11: Partial Derivatives  Optimization  
Lecture 50  05:24  
Critical points of a multivariable function calculus video example. 

Lecture 51  Article  
Course notes for the second derivative test. 

Lecture 52  08:52  
Second derivative test calculus video example. 

Quiz 17 
Second derivative test

3 questions  
Lecture 53 
Second derivative test quiz solutions

Article  
Lecture 54  11:18  
Local extrema and saddle points of a multivariable function calculus video example. 

Lecture 55  06:54  
Global extrema of a multivariable function calculus video example. 

Lecture 56  Article  
Course notes for extreme value theorem and extrema in the set D. 

Lecture 57  18:40  
Extreme value theorem and extrema in the set D calculus video example. 

Quiz 18 
Extreme value theorem, extrema in the set D

3 questions  
Lecture 58 
Extreme value theorem, extrema in the set D quiz solutions

Article  
Section 12: Partial Derivatives  Applied optimization  
Lecture 59  13:09  
Maximum product of three real numbers calculus video example. 

Lecture 60  15:21  
Maximum volume of a rectangular box inscribed in a sphere calculus video example. 

Lecture 61  04:39  
Minimum distance between a point and a plane calculus video example. 

Lecture 62  08:42  
Points on the cone closest to the given point calculus video example. 

Section 13: Partial Derivatives  Lagrange multipliers  
Lecture 63  Article  
Course notes for lagrange multipliers with two dimensions and one constraint. 

Lecture 64  08:54  
Lagrange multipliers with two dimensions and one constraint calculus video example. 

Lecture 65  16:06  
Lagrange multipliers with two dimensions and one constraint calculus video example. 

Lecture 66  08:32  
Lagrange multipliers with three dimensions and one constraint calculus video example. 

Lecture 67  14:53  
Lagrange multipliers with three dimensions and two constraints calculus video example. 

Section 14: Multiple Integrals  Approximating double integrals  
Lecture 68  Article  
Course notes for midpoint rule. 
I used to do #napkinmath. Now I make videos and other resources to help math students understand the important stuff and pass their classes.