Become a Calculus 3 Master

About Course

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

This 526-lesson course includes video and text explanations of everything from Calculus 3, and it includes 161 quizzes (with solutions!) and an additional 40 workbooks with extra practice problems, to help you test your understanding along the way. Become a Calculus 3 Master is organized into the following sections:

Partial Derivatives
Multiple Integrals
Vectors

AND HERE’S WHAT YOU GET INSIDE OF EVERY SECTION:

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 the quizzes. If you pass, great! If not, you can review the videos and notes again or ask for help in the Q&A section.

Workbooks: Want even more practice? When you’ve finished the section, you can review everything you’ve learned by working through the bonus workbook. The workbooks include tons of extra practice problems, so they’re a great way to solidify what you just learned in that section.

HERE’S WHAT SOME STUDENTS OF BECOME A 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.

YOU’LL ALSO GET:

Lifetime access to Become a Calculus 3 Master
Friendly support in the Q&A section
Udemy Certificate of Completion available for download
30-day money back guarantee

Enroll today!

I can’t wait for you to get started on mastering calculus 3.

– Krista 🙂

Course Content

01 – Getting started

001 What we’ll learn in this course.mp4

00:00
002 How to get the most out of this course.mp4

00:00
003 Download the formula sheet.html

00:00
004 The EVERYTHING download.html

00:00

02 – Partial Derivatives – Three-dimensional coordinate systems

001 Introduction to three-dimensional coordinate systems.html

00:00
002 Plotting points in three dimensions.html

00:00
003 Plotting points in three dimensions.mp4

00:00
004 Distance between points in three dimensions.html

00:00
005 Distance between points in three dimensions.mp4

00:00
006 Center, radius, and equation of the sphere.html

00:00
007 Center, radius, and equation of the sphere.mp4

00:00
008 Describing a region in three-dimensional space.mp4

00:00
009 Using inequalities to describe the region.mp4

00:00
010 BONUS! Extra practice problems. ).html

00:00

03 – Partial Derivatives – Sketching graphs and level curves

04 – Partial Derivatives – Lines and planes

001 Introduction to lines and planes.html

00:00
002 Vector, parametric and symmetric equations of a line.html

00:00
003 Vector and parametric equations of a line.mp4

00:00
004 Parametric and symmetric equations of a line.mp4

00:00
005 Symmetric equations of a line.mp4

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006 Parallel, intersecting, skew, and perpendicular lines.html

00:00
007 Parallel, intersecting, skew, and perpendicular lines.mp4

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008 Equation of a plane.html

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009 Equation of a plane.mp4

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010 Intersection of a line and a plane.html

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011 Intersection of a line and a plane.mp4

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012 Parallel, perpendicular and angle between planes.html

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013 Parallel, perpendicular and angle between planes.mp4

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014 Parametric equations for the line of intersection of two planes.html

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015 Parametric equations for the line of intersection of two planes.mp4

00:00
016 Symmetric equations for the line of intersection of two planes.html

00:00
017 Symmetric equations for the line of intersection of two planes.mp4

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018 Distance between a point and a line.mp4

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019 Distance between a point and a plane.mp4

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020 Distance between parallel planes.mp4

00:00
021 BONUS! Extra practice problems. ).html

00:00

05 – Partial Derivatives – Cylinders and quadric surfaces

06 – Partial Derivatives – Limits and continuity

07 – Partial Derivatives – Partial derivatives

08 – Partial Derivatives – Differentials

09 – Partial Derivatives – Chain rule

10 – Partial Derivatives – Implicit differentiation

11 – Partial Derivatives – Directional derivatives

12 – Partial Derivatives – Linear approximation and linearization

13 – Partial Derivatives – Gradient vectors

14 – Partial Derivatives – Tangent planes and normal lines

15 – Partial Derivatives – Optimization

16 – Partial Derivatives – Applied optimization

17 – Partial Derivatives – Lagrange multipliers

18 – Multiple Integrals – Approximating double integrals

19 – Multiple Integrals – Double integrals

001 Introduction to double integrals.html

00:00
002 Average value.html

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003 Average value.mp4

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004 Iterated and double integrals.html

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005 Iterated integrals.mp4

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006 Double integrals.mp4

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007 Type I and II regions.html

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008 Type I and II regions.mp4

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009 Finding surface area.html

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010 Finding surface area.mp4

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011 Finding volume.html

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012 Finding volume.mp4

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013 Changing the order of integration.mp4

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014 BONUS! Extra practice problems. ).html

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20 – Multiple Integrals – Double integrals in polar coordinates

001 Introduction to double integrals in polar coordinates.html

00:00
002 Changing iterated and double integrals to polar coordinates.html

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003 Changing iterated integrals to polar coordinates.mp4

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004 Changing double integrals to polar coordinates.mp4

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005 Sketching area.html

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006 Sketching area.mp4

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007 Finding area.html

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008 Finding area.mp4

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009 Finding volume.html

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010 Finding volume.mp4

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011 BONUS! Extra practice problems. ).html

00:00

21 – Multiple Integrals – Applications of double integrals

22 – Multiple Integrals – Approximating triple integrals

23 – Multiple Integrals – Triple integrals

001 Introduction to triple integrals.html

00:00
002 Iterated and triple integrals.html

00:00
003 Iterated integrals.mp4

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004 Triple integrals.mp4

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005 Average value.html

00:00
006 Average value.mp4

00:00
007 Finding volume.html

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008 Finding volume.mp4

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009 Expressing the integral six ways.html

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010 Expressing the integral six ways.mp4

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011 BONUS! Extra practice problems. ).html

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24 – Multiple Integrals – Triple integrals in cylindrical coordinates

25 – Multiple Integrals – Triple integrals in spherical coordinates

26 – Multiple Integrals – Change of variables

27 – Multiple Integrals – Applications of triple integrals

28 – Vectors – Introduction to vectors

001 Introduction to vectors.html

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002 Vector from two points.mp4

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003 Combinations of vectors.html

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004 Combinations of vectors.mp4

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005 Sum of two vectors.html

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006 Sum of two vectors.mp4

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007 Copying vectors and using them to find combinations.mp4

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008 Unit vector in the direction of the given vector.mp4

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009 Angle between a vector and the x-axis.mp4

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010 Magnitude and angle of the resultant force.html

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011 Magnitude and angle of the resultant force.mp4

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012 BONUS! Extra practice problems. ).html

00:00

29 – Vectors – Dot products

001 Introduction to dot products.html

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002 Dot product of two vectors.html

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003 Dot product of two vectors.mp4

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004 Angle between two vectors.html

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005 Angle between two vectors.mp4

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006 Orthogonal, parallel or neither.html

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007 Orthogonal, parallel or neither.mp4

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008 Acute angle between the lines.html

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009 Acute angle between the lines.mp4

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010 Acute angles between the curves.html

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011 Acute angles between the curves.mp4

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012 Direction cosines and direction angles.html

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013 Direction cosines and direction angles.mp4

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014 Scalar equation of a line.html

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015 Scalar equation of a line.mp4

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016 Scalar equation of a plane.html

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017 Scalar equation of a plane.mp4

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018 Scalar and vector projections.html

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019 Scalar and vector projections.mp4

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020 BONUS! Extra practice problems. ).html

00:00

30 – Vectors – Cross products

001 Introduction to cross products.html

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002 Cross product of two vectors.html

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003 Cross product of two vectors.mp4

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004 Vector orthogonal to the plane.html

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005 Vector orthogonal to the plane.mp4

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006 Volume of the parallelepiped from vectors.html

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007 Volume of the parallelepiped from vectors.mp4

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008 Volume of the parallelepiped from adjacent edges.html

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009 Volume of the parallelepiped from adjacent edges.mp4

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010 Scalar triple product to prove vectors are coplanar.html

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011 Scalar triple product to prove vectors are coplanar.mp4

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012 BONUS! Extra practice problems. ).html

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31 – Vectors – Vector functions and space curves

001 Introduction to vector functions and space curves.html

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002 Domain of a vector function.html

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003 Domain of a vector function.mp4

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004 Limit of a vector function.html

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005 Limit of a vector function.mp4

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006 Sketching the vector equation.mp4

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007 Projections of the curve.html

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008 Projections of the curve.mp4

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009 Vector and parametric equations of a line segment.html

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010 Vector and parametric equations of a line segment.mp4

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011 Vector function for the curve of intersection of two surfaces.html

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012 Vector function for the curve of intersection of two surfaces.mp4

00:00
013 BONUS! Extra practice problems. ).html

00:00

32 – Vectors – Derivatives and integrals of vector functions

001 Introduction to derivatives and integrals of vector functions.html

00:00
002 Derivative of a vector function.html

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003 Derivative of a vector function.mp4

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004 Unit tangent vector.html

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005 Unit tangent vector.mp4

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006 Parametric equations of the tangent line.html

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007 Parametric equations of the tangent line.mp4

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008 Integral of a vector function.html

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009 Integral of a vector function.mp4

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010 BONUS! Extra practice problems. ).html

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33 – Vectors – Arc length and curvature

001 Introduction to arc length and curvature.html

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002 Arc length of a vector function.html

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003 Arc length of a vector function.mp4

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004 Reparametrizing the curve.html

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005 Reparametrizing the curve.mp4

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006 Unit tangent and unit normal vectors.html

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007 Unit tangent and unit normal vectors.mp4

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008 Curvature.html

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009 Curvature.mp4

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010 Maximum curvature.html

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011 Maximum curvature.mp4

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012 Normal and osculating planes.html

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013 Normal and osculating planes.mp4

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014 BONUS! Extra practice problems. ).html

00:00

34 – Vectors – Velocity and acceleration

001 Introduction to velocity and acceleration.html

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002 Velocity and acceleration vectors.html

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003 Velocity and acceleration vectors.mp4

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004 Velocity, acceleration and speed, given position.html

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005 Velocity, acceleration and speed, given position.mp4

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006 Velocity and position given acceleration and initial conditions.mp4

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007 Tangential and normal components of acceleration.html

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008 Tangential and normal components of acceleration.mp4

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009 BONUS! Extra practice problems. ).html

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35 – Vectors – Line integrals

001 Introduction to line integrals.html

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002 Line integrals.html

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003 Line integral of a curve.mp4

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004 Line integral of a vector function.mp4

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005 Conservative vector fields.html

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006 Potential function of a conservative vector field.mp4

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007 Potential function of a conservative vector field to evaluate a line integral.mp4

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008 Independence of path.html

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009 Independence of path.mp4

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010 Work done by the force field.mp4

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011 Open, connected, and simply-connected.mp4

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012 BONUS! Extra practice problems. ).html

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36 – Vectors – Green’s theorem

37 – Vectors – Curl and divergence

38 – Vectors – Parametric surfaces and areas

39 – Vectors – Surface integrals

40 – Vectors – Stokes’ and divergence theorem

41 – Final exam and wrap-up

Add this certificate to your resume to demonstrate your skills & increase your chances of getting noticed.

Student Ratings & Reviews

5.0

Total 1 Rating

1 Rating

0 Rating

Ahmad Mushtaq

8 months ago

Like her previous two calculus courses, this is also to-the-point and teaches some of the advanced topics which even my university course on Calculus-3 didn't teach. She's the best maths instructor on udemy.

About Course

What Will You Learn?

Course Content

01 – Getting started

001 What we’ll learn in this course.mp4

002 How to get the most out of this course.mp4

003 Download the formula sheet.html

004 The EVERYTHING download.html

02 – Partial Derivatives – Three-dimensional coordinate systems

001 Introduction to three-dimensional coordinate systems.html

002 Plotting points in three dimensions.html

003 Plotting points in three dimensions.mp4

004 Distance between points in three dimensions.html

005 Distance between points in three dimensions.mp4

006 Center, radius, and equation of the sphere.html

007 Center, radius, and equation of the sphere.mp4

008 Describing a region in three-dimensional space.mp4

009 Using inequalities to describe the region.mp4

010 BONUS! Extra practice problems. ).html

03 – Partial Derivatives – Sketching graphs and level curves

001 Introduction to sketching graphs and level curves.html

002 Sketching level curves of multivariable functions.mp4

003 BONUS! Extra practice problems. ).html

04 – Partial Derivatives – Lines and planes

001 Introduction to lines and planes.html

002 Vector, parametric and symmetric equations of a line.html

003 Vector and parametric equations of a line.mp4

004 Parametric and symmetric equations of a line.mp4

005 Symmetric equations of a line.mp4

006 Parallel, intersecting, skew, and perpendicular lines.html

007 Parallel, intersecting, skew, and perpendicular lines.mp4

008 Equation of a plane.html

009 Equation of a plane.mp4

010 Intersection of a line and a plane.html

011 Intersection of a line and a plane.mp4

012 Parallel, perpendicular and angle between planes.html

013 Parallel, perpendicular and angle between planes.mp4

014 Parametric equations for the line of intersection of two planes.html

015 Parametric equations for the line of intersection of two planes.mp4

016 Symmetric equations for the line of intersection of two planes.html

017 Symmetric equations for the line of intersection of two planes.mp4

018 Distance between a point and a line.mp4

019 Distance between a point and a plane.mp4

020 Distance between parallel planes.mp4

021 BONUS! Extra practice problems. ).html

05 – Partial Derivatives – Cylinders and quadric surfaces

001 Introduction to cylinders and quadric surfaces.html

002 Reference chart for cylinders and quadric surfaces.html

003 Reducing equations to standard form.mp4

004 Sketching the surface.mp4

005 BONUS! Extra practice problems. ).html

06 – Partial Derivatives – Limits and continuity

001 Introduction to limits and continuity.html

002 Domain of a multivariable function.mp4

003 Limit of a multivariable function.mp4

004 Precise definition of the limit for multivariable functions.mp4

005 Discontinuities of multivariable functions.mp4

006 Compositions of multivariable functions.mp4

007 BONUS! Extra practice problems. ).html

07 – Partial Derivatives – Partial derivatives

001 Introduction to partial derivatives.html

002 Partial derivatives in two variables.html

003 Partial derivatives in two variables.mp4

004 Partial derivatives in three or more variables.html

005 Partial derivatives in three or more variables.mp4

006 Higher order partial derivatives.html

007 Higher order partial derivatives.mp4

008 BONUS! Extra practice problems. ).html

08 – Partial Derivatives – Differentials

001 Introduction to differentials.html

002 Differential of a multivariable function.html

003 Differential of a multivariable function.mp4

004 BONUS! Extra practice problems. ).html

09 – Partial Derivatives – Chain rule

001 Introduction to chain rule.html

002 Chain rule for multivariable functions.html

003 Chain rule for multivariable functions.mp4

004 Chain rule for multivariable functions, tree diagram.mp4

005 BONUS! Extra practice problems. ).html

10 – Partial Derivatives – Implicit differentiation