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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  06:43  
Partial derivatives as limits calculus video example. 

Quiz 2 
Limits

3 questions  
Lecture 5  34:19  
Precise definition of the limit for multivariable functions calculus video example. 

Lecture 6  04:07  
Discontinuities of a multivariable function calculus video example. 

Quiz 3 
Discontinuities

3 questions  
Section 3: Partial Derivatives  Partial derivatives  
Lecture 7  00:05  
Course notes for partial derivatives in two variables. 

Lecture 8  07:25  
Partial derivatives of functions in two variables calculus video example. 

Quiz 4 
Two variables

3 questions  
Lecture 9  00:02  
Course notes for partial derivatives in three variables. 

Lecture 10  05:56  
Partial derivatives of functions in three variables calculus video example. 

Quiz 5 
Three or more variables

3 questions  
Lecture 11  00:03  
Course notes for higher order partial derivatives. 

Lecture 12  05:57  
Higher order partial derivatives calculus video example. 

Quiz 6 
Higher order

3 questions  
Section 4: Partial Derivatives  Tangent planes and normal lines  
Lecture 13  00:02  
Course notes for equation of the tangent plane. 

Lecture 14  05:22  
Equation of the tangent plane calculus video example. 

Quiz 7 
Equation of the tangent plane

4 questions  
Lecture 15  00:01  
Course notes for normal line to the surface. 

Lecture 16  11:15  
Normal line to the surface calculus video example. 

Quiz 8 
Normal line to the surface

2 questions  
Section 5: Partial Derivatives  Linear approximation and linearization  
Lecture 17  00:02  
Course notes for linear approximation of multivariable functions. 

Lecture 18  06:35  
Linear approximation for multivariable functions calculus video example. 

Quiz 9 
Linear approximation

3 questions  
Lecture 19  06:45  
Linearization of a multivariable function calculus video example. 

Section 6: Partial Derivatives  Differentials  
Lecture 20  00:02  
Course notes for differential of the function. 

Lecture 21  04:24  
Differential of a multivariable function calculus video example. 

Quiz 10 
Differential of the function

3 questions  
Section 7: Partial Derivatives  Chain rule  
Lecture 22  00:07  
Course notes for chain rule for multivariable functions. 

Lecture 23  18:04  
Chain rule for multivariable functions calculus video example. 

Lecture 24  09:31  
Chain rule and tree diagrams for multivariable functions calculus video example. 

Quiz 11 
Chain rule

3 questions  
Section 8: Partial Derivatives  Implicit differentiation  
Lecture 25  00:03  
Course notes for implicit differentiation for multivariable functions. 

Lecture 26  08:14  
Partial derivatives and implicit differentiation calculus video example. 

Quiz 12 
Implicit differentiation

3 questions  
Section 9: Partial Derivatives  Directional derivatives  
Lecture 27  00:03  
Course notes for directional derivatives in the direction of the vector. 

Lecture 28  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  
Quiz 14 
Directional derivatives in the direction of the angle

3 questions  
Section 10: Partial Derivatives  Gradient vectors  
Lecture 29  00:02  
Course notes for gradient vectors. 

Lecture 30  03:50  
Gradient vectors calculus video example. 

Lecture 31  00:02  
Course notes for gradient vectors and the tangent plane. 

Lecture 32  04:27  
Gradient vectors and the tangent plane calculus video example. 

Quiz 15 
Gradient vectors and the tangent plane

3 questions  
Lecture 33  05:57  
Maximum rate of change and its direction calculus video example. 

Quiz 16 
Maximum rate of change and its direction

3 questions  
Section 11: Partial Derivatives  Optimization  
Lecture 34  05:24  
Critical points of a multivariable function calculus video example. 

Lecture 35  00:04  
Course notes for the second derivative test. 

Lecture 36  08:52  
Second derivative test calculus video example. 

Quiz 17 
Second derivative test

3 questions  
Lecture 37  11:18  
Local extrema and saddle points of a multivariable function calculus video example. 

Lecture 38  06:54  
Global extrema of a multivariable function calculus video example. 

Lecture 39  00:49  
Course notes for extreme value theorem and extrema in the set D. 

Lecture 40  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  
Section 12: Partial Derivatives  Applied optimization  
Lecture 41  13:09  
Maximum product of three real numbers calculus video example. 

Lecture 42  15:21  
Maximum volume of a rectangular box inscribed in a sphere calculus video example. 

Lecture 43  04:39  
Minimum distance between a point and a plane calculus video example. 

Lecture 44  08:42  
Points on the cone closest to the given point calculus video example. 

Section 13: Partial Derivatives  Lagrange multipliers  
Lecture 45  00:05  
Course notes for lagrange multipliers with two dimensions and one constraint. 

Lecture 46  08:54  
Lagrange multipliers with two dimensions and one constraint calculus video example. 

Lecture 47  16:06  
Lagrange multipliers with two dimensions and one constraint calculus video example. 

Lecture 48  08:32  
Lagrange multipliers with three dimensions and one constraint calculus video example. 

Lecture 49  14:53  
Lagrange multipliers with three dimensions and two constraints calculus video example. 

Section 14: Multiple Integrals  Approximating double integrals  
Lecture 50  00:05  
Course notes for midpoint rule. 

Lecture 51  09:15  
Midpoint rule to approximate double integrals calculus video example. 

Lecture 52  08:32  
Riemann sums to approximate double integrals calculus video example. 

Section 15: Multiple Integrals  Double integrals  
Lecture 53  06:41  
Average value of the double integral calculus video example. 

Lecture 54  00:05  
Course notes for double and iterated integrals. 

Lecture 55  08:47  
Double iterated integrals calculus video example. 

Lecture 56  23:29  
Double iterated integrals calculus video example. 

Lecture 57  07:15  
Double integrals calculus video example. 

Lecture 58  00:06  
Course notes for type I and II regions. 

Lecture 59  12:01  
Double integrals of type I and type II regions calculus video example. 

Lecture 60  00:04  
Course notes for volume of the solid. 

Lecture 61  08:30  
Volume of a double integral calculus video example. 

Lecture 62  10:52  
Surface area of a double integral calculus video example. 

Section 16: Multiple Integrals  Double polar integrals  
Lecture 63  10:33  
Converting double iterated integrals to polar coordinates calculus video example. 

Lecture 64  12:33  
Converting double integrals to polar coordinates calculus video example. 

Lecture 65  05:35  
Sketching the region given by a double polar integral. 

Lecture 66  00:03  
Course notes for area in polar coordinates. 
Math class was always so frustrating.
I’d go to a class, spend hours on homework, and three days later have an “Ahha!” 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, timesucking cycle. Since then, I’ve recorded tons of videos and written out cheatsheet 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.