
Explore partial derivatives for multivariable functions, master multiple and triple integrals, and study vectors with dot and cross products, applying these toward multivariable optimization and vector fields.
Maximize your learning with section-by-section concepts, notes, and video walkthroughs. Use the embedded quizzes, solution PDFs, and extra practice workbooks to reinforce learning across calculus 3.
Course notes for plotting points in three-dimensional space.
Plot points in three dimensional coordinate space for calculus 3 by charting their x, y, and z coordinates and visualizing them with the xy, yz, and xz planes.
Course notes for distance between points in three-dimensional space.
Distance between two points in three dimensions calculus video example.
Center, radius, and equation of the sphere calculus video example.
Describing a region in three-dimensional space calculus video example.
Using inequalities to describe the region calculus video example.
Learn to sketch level curves of multivariable functions by slicing 3d graphs with horizontal planes, yielding circles, ellipses, or lines, and translate these into 2d xy sketches.
Course notes for vector, parametric and symmetric equations of a line.
Vector and parametric equations of a line calculus video example.
Parametric and symmetric equations of a line calculus video example.
Symmetric equations of a line calculus video example.
Course notes for parallel, intersecting, skew and perpendicular lines.
Parallel, intersecting, skew and perpendicular lines calculus video example.
Course notes for equation of the plane.
Find the plane through three points by forming two in-plane vectors, taking their cross product for the normal vector, and using a point to get x+y+z=2.
Course notes for intersection of a line and a plane.
Intersection of a line and a plane calculus video example.
Course notes for parallel, perpendicular and angle between planes.
Parallel, perpendicular and angle between planes calculus video example.
Course notes for parametric equations for the line of intersection of two planes.
Parametric equations for the line of intersection of two planes calculus video example.
Course notes for symmetric equations for the line of intersection of two planes.
Symmetric equations for the line of intersection of two planes calculus video example.
Distance between a point and a line calculus video example.
Distance between a point and a plane calculus video example.
Distance between two planes calculus video example.
Formula sheet for quadric surfaces.
Reducing equations of quadric surfaces to standard form calculus video example.
Sketching the quadric surface calculus video example.
Domain of a multivariable function calculus video example.
Partial derivatives as limits calculus video example.
Precise definition of the limit for multivariable functions calculus video example.
Discontinuities of a multivariable function calculus video example.
Learn to form compositions of multivariable functions by plugging the inner function into the outer one, matching components to variables, and simplifying to a new function of the final variables.
Course notes for partial derivatives in two variables.
Partial derivatives of functions in two variables calculus video example.
Course notes for partial derivatives in three variables.
Compute first-order partial derivatives of a three-variable function by treating others as constants. Differentiate with respect to x, y, z to obtain 2x y^3 z^4; 3x^2 y^2 z^4; 4x^2 y^3 z^3.
Course notes for higher order partial derivatives.
Higher order partial derivatives calculus video example.
Course notes for differential of the function.
Differential of a multivariable function calculus video example.
Course notes for chain rule for multivariable functions.
Chain rule for multivariable functions calculus video example.
Chain rule and tree diagrams for multivariable functions calculus video example.
Course notes for implicit differentiation for multivariable functions.
Partial derivatives and implicit differentiation calculus video example.
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 :)