Become a Calculus 3 Master

Learn everything from Calculus 3, then test your knowledge on 280+ quiz questions
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  • Lectures 291
  • Length 30.5 hours
  • Skill Level All Levels
  • Languages English
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About This Course

Published 3/2014 English

Course Description

HOW BECOME A CALC 3 MASTER IS SET UP TO MAKE COMPLICATED MATH EASY

This 340-lesson 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:

  • Partial Derivatives
  • Multiple Integrals
  • Vectors
  • Differential Equations

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.

What are the requirements?

  • A good foundation in Calc 2 (integrals) is required for this course.

What am I going to get from this course?

  • Partial Derivatives, including higher order partial derivatives, multivariable chain rule and implicit differentiation
  • Multiple Integrals, including approximating double and triple integrals, finding volume, and changing the order of integration
  • Vectors, including derivatives and integrals of vector functions, arc length and curvature, and line and surface integrals
  • Differential Equations, including linear, separable and exact DEs, and second-order homogeneous and nonhomogeneous DEs

Who is the target audience?

  • Anyone who's completed Calc 2 and wants to take the next step
  • Current calculus students, or students about to start Calc 3 who are looking to get ahead
  • Anyone who wants to study calculus for fun after being away from school for a while

What you get with this course?

Not for you? No problem.
30 day money back guarantee.

Forever yours.
Lifetime access.

Learn on the go.
Desktop, iOS and Android.

Get rewarded.
Certificate of completion.

Curriculum

Section 1: Calculus 3 - Introduction & Resources
00:44

Welcome to Calculus 3!

Section 2: Partial Derivatives - Limits and continuity
05:36

Domain of a multivariable function calculus video example.

05:09

Domain of a multivariable function calculus video example.

Domains
3 questions
06:43

Partial derivatives as limits calculus video example.

Limits
3 questions
34:19

Precise definition of the limit for multivariable functions calculus video example.

04:07

Discontinuities of a multivariable function calculus video example.

Discontinuities
3 questions
Section 3: Partial Derivatives - Partial derivatives
00:05

Course notes for partial derivatives in two variables.

07:25

Partial derivatives of functions in two variables calculus video example.

Two variables
3 questions
00:02

Course notes for partial derivatives in three variables.

05:56

Partial derivatives of functions in three variables calculus video example.

Three or more variables
3 questions
00:03

Course notes for higher order partial derivatives.

05:57

Higher order partial derivatives calculus video example.

Higher order
3 questions
Section 4: Partial Derivatives - Tangent planes and normal lines
00:02

Course notes for equation of the tangent plane.

05:22

Equation of the tangent plane calculus video example.

Equation of the tangent plane
4 questions
00:01

Course notes for normal line to the surface.

11:15

Normal line to the surface calculus video example.

Normal line to the surface
2 questions
Section 5: Partial Derivatives - Linear approximation and linearization
00:02

Course notes for linear approximation of multivariable functions.

06:35

Linear approximation for multivariable functions calculus video example.

Linear approximation
3 questions
06:45

Linearization of a multivariable function calculus video example.

Section 6: Partial Derivatives - Differentials
00:02

Course notes for differential of the function.

04:24

Differential of a multivariable function calculus video example.

Differential of the function
3 questions
Section 7: Partial Derivatives - Chain rule
00:07

Course notes for chain rule for multivariable functions.

18:04

Chain rule for multivariable functions calculus video example.

09:31

Chain rule and tree diagrams for multivariable functions calculus video example.

Chain rule
3 questions
Section 8: Partial Derivatives - Implicit differentiation
00:03

Course notes for implicit differentiation for multivariable functions.

08:14

Partial derivatives and implicit differentiation calculus video example.

Implicit differentiation
3 questions
Section 9: Partial Derivatives - Directional derivatives
00:03

Course notes for directional derivatives in the direction of the vector.

05:54

Directional derivatives in the direction of the vector calculus video example.

Directional derivatives in the direction of the vector
2 questions
Directional derivatives in the direction of the angle
3 questions
Section 10: Partial Derivatives - Gradient vectors
00:02

Course notes for gradient vectors.

03:50

Gradient vectors calculus video example.

00:02

Course notes for gradient vectors and the tangent plane.

04:27

Gradient vectors and the tangent plane calculus video example.

Gradient vectors and the tangent plane
3 questions
05:57

Maximum rate of change and its direction calculus video example.

Maximum rate of change and its direction
3 questions
Section 11: Partial Derivatives - Optimization
05:24

Critical points of a multivariable function calculus video example.

00:04

Course notes for the second derivative test.

08:52

Second derivative test calculus video example.

Second derivative test
3 questions
11:18

Local extrema and saddle points of a multivariable function calculus video example.

06:54

Global extrema of a multivariable function calculus video example.

00:49

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

18:40

Extreme value theorem and extrema in the set D calculus video example.

Extreme value theorem, extrema in the set D
3 questions
Section 12: Partial Derivatives - Applied optimization
13:09

Maximum product of three real numbers calculus video example.

15:21

Maximum volume of a rectangular box inscribed in a sphere calculus video example.

04:39

Minimum distance between a point and a plane calculus video example.

08:42

Points on the cone closest to the given point calculus video example.

Section 13: Partial Derivatives - Lagrange multipliers
00:05

Course notes for lagrange multipliers with two dimensions and one constraint.

08:54

Lagrange multipliers with two dimensions and one constraint calculus video example.

16:06

Lagrange multipliers with two dimensions and one constraint calculus video example.

08:32

Lagrange multipliers with three dimensions and one constraint calculus video example.

14:53

Lagrange multipliers with three dimensions and two constraints calculus video example.

Section 14: Multiple Integrals - Approximating double integrals
00:05

Course notes for midpoint rule.

09:15

Midpoint rule to approximate double integrals calculus video example.

08:32

Riemann sums to approximate double integrals calculus video example.

Section 15: Multiple Integrals - Double integrals
06:41

Average value of the double integral calculus video example.

00:05

Course notes for double and iterated integrals.

08:47

Double iterated integrals calculus video example.

23:29

Double iterated integrals calculus video example.

07:15

Double integrals calculus video example.

00:06

Course notes for type I and II regions.

12:01

Double integrals of type I and type II regions calculus video example.

00:04

Course notes for volume of the solid.

08:30

Volume of a double integral calculus video example.

10:52

Surface area of a double integral calculus video example.

Section 16: Multiple Integrals - Double polar integrals
10:33

Converting double iterated integrals to polar coordinates calculus video example.

12:33

Converting double integrals to polar coordinates calculus video example.

05:35

Sketching the region given by a double polar integral.

00:03

Course notes for area in polar coordinates.

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Instructor Biography

Krista King, Your geeky, trusty math tutor

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.

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