Become a Calculus 3 Master
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Become a Calculus 3 Master

Learn everything from Calculus 3, then test your knowledge on 280+ quiz questions
4.6 (185 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
5,808 students enrolled
Created by Krista King
Last updated 9/2017
English
English [Auto-generated]
Current price: $10 Original price: $150 Discount: 93% off
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Includes:
  • 30.5 hours on-demand video
  • 167 Articles
  • 172 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • 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
View Curriculum
Requirements
  • A good foundation in Calc 2 (integrals) is required for this 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.

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
Compare to Other Calculus Courses
Curriculum For This Course
351 Lectures
31:04:16
+
Getting started
2 Lectures 01:38
Quick overview before we get underway
01:19

Download the Calc 3 formula sheet
00:18
+
Partial Derivatives - Three-dimensional coordinate systems
9 Lectures 42:21
Introduction to three-dimensional coordinate systems
00:21

Course notes for plotting points in three-dimensional space.

Plotting points in three dimensions
00:02

Plotting points in three dimensions calculus video example.

Preview 10:47

Plotting points in three dimensions
2 questions

Course notes for distance between points in three-dimensional space.

Distance between points in three dimensions
00:01

Distance between two points in three dimensions calculus video example.

Distance between points in three dimensions
10:16

Distance between points in three dimensions
2 questions

Course notes for center, radius, and equation of the sphere.

Center, radius, and equation of the sphere
00:02

Center, radius, and equation of the sphere calculus video example.

Center, radius, and equation of the sphere
09:57

Center, radius, and equation of the sphere
2 questions

Describing a region in three-dimensional space calculus video example.

Describing a region in three-dimensional space
05:06

Describing a region in three-dimensional space
2 questions

Using inequalities to describe the region calculus video example.

Using inequalities to describe the region
05:48

Using inequalities to describe the region
2 questions
+
Partial Derivatives - Sketching graphs and level curves
1 Lecture 00:21
Introduction to sketching graphs and level curves
00:21

Sketching level curves of multivariable functions
2 questions
+
Partial Derivatives - Lines and planes
20 Lectures 01:38:37
Introduction to lines and planes
00:21

Course notes for vector, parametric and symmetric equations of a line.

Vector, parametric and symmetric equations of a line
00:02

Vector and parametric equations of a line calculus video example.

Vector and parametric equations of a line
06:42

Vector and parametric equations of a line
2 questions

Parametric and symmetric equations of a line calculus video example.

Parametric and symmetric equations of a line
08:38

Parametric and symmetric equations of a line
2 questions

Symmetric equations of a line calculus video example.

Symmetric equations of a line
02:58

Symmetric equations of a line
2 questions

Course notes for parallel, intersecting, skew and perpendicular lines.

Parallel, intersecting, skew and perpendicular lines
00:02

Parallel, intersecting, skew and perpendicular lines calculus video example.

Parallel, intersecting, skew and perpendicular lines
10:32

Parallel, intersecting, skew and perpendicular lines
2 questions

Course notes for equation of the plane.

Equation of a plane
00:01

Equation of the plane calculus video example.

Equation of a plane
08:00

Equation of a plane
2 questions

Course notes for intersection of a line and a plane.

Intersection of a line and a plane
00:01

Intersection of a line and a plane calculus video example.

Intersection of a line and a plane
04:13

Intersection of a line and a plane
2 questions

Course notes for parallel, perpendicular and angle between planes.

Parallel, perpendicular and angle between planes
00:02

Parallel, perpendicular and angle between planes calculus video example.

Parallel, perpendicular and angle between planes
09:22

Parallel, perpendicular and angle between planes
2 questions

Course notes for parametric equations for the line of intersection of two planes.

Parametric equations for the line of intersection of two planes
00:02

Parametric equations for the line of intersection of two planes calculus video example.

Parametric equations for the line of intersection of two planes
12:29

Parametric equations for the line of intersection of two planes
2 questions

Course notes for symmetric equations for the line of intersection of two planes.

Symmetric equations for the line of intersection of two planes
00:02

Symmetric equations for the line of intersection of two planes calculus video example.

Symmetric equations for the line of intersection of two planes
10:43

Symmetric equations for the line of intersection of two planes
2 questions

Distance between a point and a line calculus video example.

Distance between a point and a line
08:46

Distance between a point and a line
2 questions

Distance between a point and a plane calculus video example.

Distance between a point and a plane
07:11

Distance between a point and a plane
2 questions

Distance between two planes calculus video example.

Distance between parallel planes
08:27

Distance between parallel planes
2 questions
+
Partial Derivatives - Cylinders and quadric surfaces
4 Lectures 23:23
Introduction to cylinders and quadric surfaces
00:21

Formula sheet for quadric surfaces.

Reference chart for cylinders and quadric surfaces
00:01

Reducing equations of quadric surfaces to standard form calculus video example.

Reducing equations to standard form
15:02

Reducing equations to standard form
2 questions

Sketching the quadric surface calculus video example.

Sketching the surface
07:59

Sketching the surface
2 questions
+
Partial Derivatives - Limits and continuity
6 Lectures 56:15
Introduction to limits and continuity
00:21

Domain of a multivariable function calculus video example.

Preview 05:36

Domain of a multivariable function calculus video example.

Domain of a multivariable function, example 2
05:09

Domain of a multivariable function
2 questions

Partial derivatives as limits calculus video example.

Limit of a multivariable function
06:43

Limit of a multivariable function
1 question

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

Precise definition of the limit for multivariable functions
34:19

Precise definition of the limit for multivariable functions
2 questions

Discontinuities of a multivariable function calculus video example.

Discontinuities of multivariable functions
04:07

Discontinuities of multivariable functions
2 questions
+
Partial Derivatives - Partial derivatives
7 Lectures 19:46
Introduction to partial derivatives
00:21

Course notes for partial derivatives in two variables.

Partial derivatives in two variables
00:02

Partial derivatives of functions in two variables calculus video example.

Partial derivatives in two variables
07:25

Partial derivatives in two variables
2 questions

Course notes for partial derivatives in three variables.

Partial derivatives in three or more variables
00:02

Partial derivatives of functions in three variables calculus video example.

Partial derivatives in three or more variables
05:56

Partial derivatives in three or more variables
2 questions

Course notes for higher order partial derivatives.

Higher order partial derivatives
00:02

Higher order partial derivatives calculus video example.

Higher order partial derivatives
05:57

Higher order partial derivatives
2 questions
+
Partial Derivatives - Differentials
3 Lectures 04:46
Introduction to differentials
00:20

Course notes for differential of the function.

Differential of a multivariable function
00:01

Differential of a multivariable function calculus video example.

Differential of a multivariable function
04:24

Differential of a multivariable function
2 questions
+
Partial Derivatives - Chain rule
4 Lectures 28:01
Introduction to chain rule
00:21

Course notes for chain rule for multivariable functions.

Chain rule for multivariable functions
00:05

Chain rule for multivariable functions calculus video example.

Chain rule for multivariable functions
18:04

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

Chain rule for multivariable functions, tree diagram
09:31

Chain rule for multivariable functions and tree diagrams
2 questions
+
Partial Derivatives - Implicit differentiation
3 Lectures 08:37
Introduction to implicit differentiation
00:21

Course notes for implicit differentiation for multivariable functions.

Implicit differentiation for multivariable functions
00:02

Partial derivatives and implicit differentiation calculus video example.

Implicit differentiation for multivariable functions
08:14

Implicit differentiation for multivariable functions
2 questions
42 More Sections
About the Instructor
Krista King
4.6 Average rating
3,364 Reviews
19,050 Students
7 Courses
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.