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Calculus 3 with the Math Sorcerer (Udemy.com)

Learn Calculus 3 with the Math Sorcerer:)

Created by: The Math Sorcerer

Last updated May 2026

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What you will learn

  • Understand Vectors in the Plane
  • Understand the Three Dimensional Coordinate System
  • How to Plot Points in Three Dimensions
  • Find the Magnitude of Vectors in Two Dimensions and Three Dimensions
  • How to Find the Vector Given the Initial and Terminal Points
  • How to Sketch a Vector in Standard Position
  • Understand what a Unit Vector Actually Is
  • How to Find a Unit Vector in the Direction of Another Vector
  • How to Construct a Vector with a Given Magnitude in the Direction of Another Vector
  • How to Find the Terminal Point of a Vector Given the Vector and its Initial Point
  • How to Find a Unit Vector in the Direction Opposite of a Vector
  • How to Compute the Dot Product
  • How to Determine if Vectors are Orthogonal
  • How to Find the Angle Between Two Vectors
  • How to Compute the Dot Product Given the Magnitudes of Vectors and the Angle Between Them

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Course Description

This Calculus 3 Course has hundreds of videos:)


Note: If you know some Calculus 1 you could probably jump in and complete a significant portion of this course without Calculus 2.


Basically just,

1) Watch the videos, and try to follow along with a pencil and paper, take notes!

2) Try to do the problems before I do them(if you can!)

3) Repeat!


Calculus 3 is an absolutely beautiful subject. I hope you enjoy watching these videos and working through these problems as much as I have:)


Note this course has lots of very short videos. If you are trying to learn math then this format can be good because you don't have to spend tons of time on the course every day. Even if you can only spend time doing 1 video a day, that is honestly better than not doing any mathematics. You can learn a lot and because there are so many videos you could do 1 video a day for a very long time. Remember that math can be challenging and time consuming, so if you just do a little bit every day it can make your journey much more enjoyable. I hope you enjoy this course and learn lots of mathematics.

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Instructor Details

The Math Sorcerer

I was born on a small unnamed Island in the Pacific Ocean inhabited mostly by natives who practiced mathematics on a daily basis.

My mother was a witch who specialized in Calculus and my father was a warlock who was well versed in the dark arts of Algebra.

As I grew older so did my thirst for knowledge, and so I set out on  a long voyage to improve my mathematical skills. I traveled the world for years and learned a great deal of mathematics, but it wasn't until I met that raging Hobbit that my true powers started to show.

I am here today to share my magical powers with you.

Come join on me on this journey as we explore the world of mathematics together.


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Reviews

4.7

385 ratings on Udemy

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By B Fitz Patrick on 6/17/2026

I have done some study on vectors and tensors, so this is good revision. What I did not realise was that by working out the components, we have moved the vector to standard position. A good learning experience!

By Yuta Nishimura on 3/19/2026

Most textbooks of calculus 3 do a pedagogically poor job laying out complex ideas, but this course helped me much more than I'd expected.What really makes this course stand out is that it takes a problem-based approach.It's more computational than it is conceptual, which doesn't intimidate laypersons that much.I think the course's overall purpose would be serving as a supplemental material for your textbook, so combining with a more theoretical course/book you can get a more thorough grip of calc3.

By Jennifer Lynette Onopa-Torres on 12/21/2025

I've purchased several courses from the Math Sorcerer, and every one of them has been incredible. I am an aerospace engineering major, and I couldn't have gotten through the math without him!

By Landon Forehand on 6/8/2025

Videos have been super helpful and straight to the point. I am enjoying this course so far and loving the format. It has definitely helped me with my college Calculus 3 course. I would recommend it to anyone trying to succeed in taking this class!

By Julian H Mayfield on 11/29/2024

I desperately needed more worked examples to complement the Calculus 3 course I was taking in college. This provides examples in ample supply. Not every topic is covered that my college course does, and sometimes the Sorcerer covered more than my college. Most noticeable was that the course is a little light on vector calculus material. The most important thing though is that the instructor is clear and precise. His repetition and clear writing gives a gentle introduction to the subjects. However, the course won't give you the most difficult problems. I highly recommend that you use this course to preview topics and get a handle the mechanics of solving problems, before cracking a book to both get deeper into the theory and hunt for the more difficult examples.

By I S on 8/19/2024

Good method of teaching by short yet deep theory videos, and then repeat and repeat short exercises in order to learn the material in an intuitive way.

By Martín Martínez Mora on 8/16/2024

Está muy bien, pero me lo esperaba de un nivel más alto. Tengo malas sensaciones pero porque lo que he hecho ya sabía hacerlo, y lo que no, le falta teoría para entender qué se está haciendo, algo muy básico en matemáticas. 10/10 en cantidad de ejemplos, 5/10 en calidad de teoría. Se compensa si lees un libro de análisis de varias variables avanzado

By Matías Leonardo Nieto on 11/4/2023

Es importante comprender que es un curso distinto, bien explicado, pero en videos cortos, fuertemente orientado a la práctica, ideal para introducirse en el tema y luego ir a los libros.

By Giulianna Cara Beretta on 10/12/2023

I like that the math sorcerer works through examples for each definition, which is more applicable and practical for learning (especially for uni). The math sorcerer also explains the need-to-knows really well.

By Moriah Metellus on 8/22/2022

This course breaks down ever single component step-by-step. I am a college student Calculus 3 before class starts for me and I will feel a lot more confident after doing this online course.

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Overall Score : 94 / 100