Become a Calculus 3 Master from Udemy

) 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' 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' 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 Thank you. ” - Carter R.

YOU'

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

- Krista :)

What's inside

Learning objectives

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

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

Syllabus

Getting started

What we'll learn in this course

How to get the most out of this course

Download the formula sheet

The EVERYTHING download

Learn the basics of a three-dimensional coordinate system.

Introduction to three-dimensional coordinate systems

Course notes for plotting points in three-dimensional space.

Plotting points in three dimensions

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

Distance between two points in three dimensions calculus video example.

Distance between points in three dimensions

Center, radius, and equation of the sphere

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

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

Describing a region in three-dimensional space

Using inequalities to describe the region calculus video example.

Using inequalities to describe the region

BONUS! Extra practice problems. :)

Distinguish between the process for sketching surfaces, sketching the level curves of surfaces, and pairing together surfaces with their matching level curves.

Introduction to sketching graphs and level curves

Sketching level curves of multivariable functions

Understand how to use vectors to find the equations of lines and planes.

Introduction to lines and planes

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

Vector and parametric equations of a line calculus video example.

Vector and parametric equations of a line

Parametric and symmetric equations of a line calculus video example.

Parametric and symmetric equations of a line

Symmetric equations of a line calculus video example.

Symmetric equations of a line

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

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

Parallel, intersecting, skew, and perpendicular lines

Course notes for equation of the plane.

Equation of a plane

Course notes for intersection of a line and a plane.

Intersection of a line and a plane calculus video example.

Intersection of a line and a plane

Course notes for parallel, perpendicular and angle between planes.

Parallel, perpendicular and angle between planes calculus video example.

Parallel, perpendicular and angle between planes

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.

Parametric equations for the line of intersection of two planes

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.

Symmetric equations for the line of intersection of two planes

Distance between a point and a line calculus video example.

Distance between a point and a line

Distance between a point and a plane calculus video example.

Distance between a point and a plane

Distance between two planes calculus video example.

Distance between parallel planes

See how to use vectors to handle quadric surfaces.

Introduction to cylinders and quadric surfaces

Formula sheet for quadric surfaces.

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

Reducing equations to standard form

Sketching the quadric surface calculus video example.

Sketching the surface

Familiarize yourself with the basics of multivariable functions.

Introduction to limits and continuity

Domain of a multivariable function calculus video example.

Domain of a multivariable function

Partial derivatives as limits calculus video example.

Limit of a multivariable function

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

Precise definition of the limit for multivariable functions

Discontinuities of a multivariable function calculus video example.

Discontinuities of multivariable functions

Compositions of multivariable functions

Get started with multivariable calculus by learning how to calculate basic first- and second-order partial derivatives.

Introduction to partial derivatives

Course notes for partial derivatives in two variables.

Partial derivatives of functions in two variables calculus video example.

Partial derivatives in two variables

Course notes for partial derivatives in three variables.

Partial derivatives in three or more variables

Course notes for higher order partial derivatives.

Higher order partial derivatives calculus video example.

Higher order partial derivatives

See how to find the differential of a multivariable function.

Introduction to differentials

Course notes for differential of the function.

Differential of a multivariable function calculus video example.

Differential of a multivariable function

Understand how to apply this essential derivative rule to multivariable functions.

Good to know

Know what's good

, what to watch for

, and possible dealbreakers

Develops intuition and knowledge of vectors, which are widely used in physics, computer science, and engineering

Explores calculus in three dimensions, a skill used in scientific disciplines like physics and chemistry

Teaches partial derivatives, a foundation for advanced calculus, machine learning, and other technical disciplines

Covers multiple integrals, a fundamental concept in advanced calculus and physics

Provides a solid foundation for students looking to enhance their calculus knowledge and skills, making it suitable for students majoring in STEM fields

Prerequisites for this course include a strong understanding of single-variable calculus, multivariable calculus, and linear algebra

Reviews summary

Certainly recommended

Based on a single review, learners say this course is certainly recommended. Students especially appreciate the clear explanations and problem solutions.

Explanations are clear.

"the best course for calculus, including crystal explanation"

Many helpful examples are included.

"crystal explanation and solutions of problems"

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Become a Calculus 3 Master with these activities:

Organize and Review Course Materials

Show steps

Taking the time to organize and review your course materials will help you stay on top of the material and identify any areas where you need additional support.

Browse courses on Calculus

Show steps

Gather all of your course materials, including notes, textbooks, and handouts.
Organize your materials into a logical order.
Review your materials regularly to reinforce your understanding.
Identify any areas where you need additional support and seek help from your instructor or a tutor.

Review a book in the Calculus Series

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Help students build a stronger foundation for their calculus work and help refresh previously learned concepts.

View Calculus on Amazon

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Purchase a copy of the book.
Read through the first three chapters.
Complete the practice problems at the end of each chapter.
Take notes on the key concepts.
Review your notes regularly.

Attend a Calculus Study Group

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Attending a study group can provide you with the opportunity to collaborate with other students and learn from their different perspectives.

Browse courses on Calculus

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Find a study group that meets regularly.
Attend the study group meetings and participate in the discussions.
Work together with other students to solve problems and understand calculus concepts.
Share your own knowledge and understanding with other students.

Five other activities

Expand to see all activities and additional details

Show all eight activities

Follow Video Tutorials on Calculus Concepts

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Watching video tutorials can help reinforce your understanding of calculus concepts and provide a different perspective on the material.

Browse courses on Calculus

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Find a set of video tutorials on calculus concepts that you are struggling with.
Watch the videos and take notes on the key concepts.
Pause the videos and try to work through the problems yourself before watching the solutions.
Review the videos and your notes regularly to reinforce your understanding.

Practice Partial Derivatives

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Improving the ability to perform Partial Derivative calculations will aid in comprehending more complex concepts in the course.

Browse courses on Partial Derivatives

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Find a set of practice problems online or in a textbook.
Work through the problems, showing all your steps.
Check your answers against the solutions provided.
Repeat steps 1-3 until you are comfortable with the material.

Participate in a Calculus Workshop

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Participating in a workshop can provide you with the opportunity to learn from experts in the field and get hands-on experience with calculus concepts.

Browse courses on Calculus

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Find a calculus workshop that is relevant to your interests.
Register for the workshop and attend all of the sessions.
Participate actively in the discussions and activities.
Take notes and ask questions to clarify your understanding.

Create a Mind Map of Calculus Concepts

Show steps

Creating a mind map will help you understand how different concepts in calculus are related. Use colors and images to make your mind map more visually engaging.

Browse courses on Calculus

Show steps

Start by writing down the main topic of your mind map in the center of a piece of paper.
Draw branches off of the main topic and write down related concepts.
Continue adding branches and concepts until you have a complete mind map.
Use different colors and images to make your mind map more visually engaging.
Review your mind map regularly to reinforce your understanding of calculus concepts.

Develop a Calculus Study Guide

Show steps

Creating a study guide will allow you to synthesize and review the key concepts covered in the course.

Browse courses on Calculus

Show steps

Gather your notes, textbooks, and other course materials.
Identify the key concepts that you need to cover in your study guide.
Organize the key concepts into a logical order.
Write clear and concise explanations of each key concept.
Include practice problems and solutions to help you test your understanding.

Career center

Learners who complete Become a Calculus 3 Master will develop knowledge and skills that may be useful to these careers:

Machine Learning Engineer

Machine Learning Engineers design and build machine learning systems. This role often uses multivariable calculus to understand and develop complex algorithms and models.

See salaries and explore the career path for Machine Learning Engineer

Software Engineer

Software Engineers design and develop computer software. Many computer modeling systems used in industry require a deep understanding of multivariable calculus, even a modest understanding can be a foundational step in this direction.

See salaries and explore the career path for Software Engineer

Operations Research Analyst

Operations Research Analysts apply analytical techniques to help organizations make optimal decisions. This role often uses multivariable calculus to understand complex systems and processes.

See salaries and explore the career path for Operations Research Analyst

Operational Research Analyst

Operational Research Analysts apply advanced analytical techniques to help businesses make better decisions. This involves understanding the mathematics of those techniques, which this course can help to build a foundation in.

See salaries and explore the career path for Operational Research Analyst

Data Scientist

Data Scientists use mathematical and statistical techniques to analyze data and extract insights. This role often uses multivariable calculus to understand and model complex data and patterns.

See salaries and explore the career path for Data Scientist

Market Researcher

Market Researchers gather and analyze data on consumer behaviors and trends, including how they respond to changes in marketing strategy and pricing. This course can help to build a foundation in the mathematics of this analysis, helping one better understand the techniques used in the field.

See salaries and explore the career path for Market Researcher

Quantitative Analyst

Quantitative Analysts use mathematical and statistical techniques to analyze financial data. This role often uses multivariable calculus to develop and apply financial models.

See salaries and explore the career path for Quantitative Analyst

Business Analyst

Business Analysts help organizations understand their business needs and develop solutions to improve their operations. This role often uses multivariable calculus to analyze and understand complex data and patterns.

See salaries and explore the career path for Business Analyst

Data Analyst

Data Analysts help organizations make decisions by analyzing data and identifying trends. This course can help to build a foundation in the mathematics of this analysis, helping one better understand the techniques used in the field.

See salaries and explore the career path for Data Analyst

Investment Analyst

Investment Analysts help their clients to make wise choices about their investments. This involves understanding financial data and making predictions about a given investment, frequently using multivariate mathematical models. This course can help to build a foundation in the mathematics of such models as well as the calculus used to adjust them over time.

See salaries and explore the career path for Investment Analyst

Hydrologist

Hydrologists study water, how it moves around the Earth, and its effects on the planet's environment. A solid foundation in the calculus of functions in multiple variables is essential to understanding the complex motion of water across multiple spatial dimensions. This course can help to build that foundation.

See salaries and explore the career path for Hydrologist

Actuary

Actuaries use mathematical and statistical methods to assess risk and uncertainty. This course can help to build a foundation in the use of calculus to understand and model concepts of risk and uncertainty.

See salaries and explore the career path for Actuary

Financial Analyst

Financial Analysts help businesses make wise choices about their financial investments. This course can help to build a foundation in the calculus used to model and value these investments.

See salaries and explore the career path for Financial Analyst

Geophysicist

Many Geophysicists seek to use mathematical principles to study the Earth, especially locating and extracting oil and gas for consumption by others. Geophysicists also study how to protect the environment from pollution and erosion. Hence, having a deeper understanding of multivariable calculus, like that taught in this course, can help build a foundation to the analytical study of these processes for a Geophysicist.

See salaries and explore the career path for Geophysicist

Statistician

Statisticians apply statistical methods to collect, analyze, interpret, and present data. This course may be useful for building a foundation in the mathematical principles that are applied in that work.

See salaries and explore the career path for Statistician