2017-08-14 15:58:43

Become a Calculus 3 Master

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Learn everything from Calculus 3, then test your knowledge on 280+ quiz questions

5,808 students enrolled

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

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

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–

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