Vectors for Math and Calculus: A Complete & Practical Course (Udemy.com)
Learn the fundamentals of 2D and 3D Vectors for Math and Calculus through hands-on practice and engaging visuals.
Created by: Estefania Cassingena Navone
Last updated June 2025
What you will learn
- Learn to work with vectors - add, subtract, and multiply vectors (including dot and cross products) in 2D and 3D.
- Convert vectors between Cartesian (x,y) and Polar (length, angle) coordinates.
- Understand and calculate a vector's main parts - Its components, length, direction, and sense.
- Determine if vectors are orthogonal, linearly dependent or linear combinations of other vectors.
- Learn to use unit vectors to show any direction.
How it compares
Against the other 127 rated Udemy courses in Math on CourseDuck:
- Rating4.6 out of 5higher than 37% of them
- Reviews92#108 of 128 by number of reviews
- Length4.1 hoursshorter than 77% of them
- Last updatedJune 2025more recently than 56% of them
Course Description
Are you ready to master the fascinating world of 2D and 3D vectors for your math and physics journey?
This beginner-friendly course is designed to take you from fundamentals to confidence, preparing you for success in calculus, physics, and any field where vectors are key.
You won't just learn about vectors; you'll master them by solving over 162 practical problems.
This hands-on approach ensures you don't just memorize, but understand, learning what you'll need for more advanced courses and real-world applications.
What makes this course really unique is:
Engaging visuals: If you are a visual learner (just like me!), you will find the lectures engaging. I designed them to help you learn vectors with detailed and colorful slides and diagrams.
Crystal-Clear Math in LaTeX: Say goodbye to hard-to-read equations! All mathematical expressions are professionally rendered using LaTeX, so every formula and symbol is perfectly clear and easy to follow.
PDF handouts: For every section, you'll get a PDF handout with key notes. Download them to study on the go, or print them for your personal reference.
Hands-on practice: Each topic is reinforced with practice problems, complete with detailed answers. This means you can immediately apply what you learn and solidify your understanding.
Quizzes: After each section, short quizzes will help you to instantly check your progress and identify any areas that you might need to review.
Q&A: You'll have access 24/7 to the course discussion forums (Q&A). Ask any questions you may have and I will be glad to help you.
Join the course to truly understand and even learn to love the power of vectors. Start mastering these essential math and physics tools right now.
See you there!
Course updates:
The course has been updated with new lectures and resources:
June 2025 - NEW Updated lectures with new narration and visual style.
April 2025 - NEW Updated PDF handouts with practice problems.
Instructor Details
- 4.6 Rating
92 Reviews
Estefania Cassingena Navone
I'm Estefania. I love teaching. I'm a Web Developer with experience in Python, JavaScript, HTML, CSS, React, and other web technologies.
My goal is to create engaging courses where you will learn programming and understand it so well that you will be able to apply your knowledge to new situations, projects, and professional opportunities. I know that learning how to code can be challenging, but I'm here to make your journey smoother and to help you create memories that you will never forget about how you learned how to code.
I currently have 30,000+ students and 10+ courses on Udemy and my top priority is to support you by answering every single one of your questions. I'm here to help you, so please do not hesitate to ask if you ever have a question during my courses.
I believe that detailed and clear explanations combined with the power of visual learning materials create the learning experience that every learner deserves. That is the experience that I want to give you during my courses.
Coding is amazing. I love programming, data structures, algorithms, and I know what it feels like when you learn something new and you are able to create a new project or product just with your computer and a few lines of code. It's like magic!
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Reviews
By Ilian Ilkov on 9/2/2026
A very good introduction to vectors and associated operations. Gives a good basis for understanding how vectors are used in AI. My only suggestion is to expand a bit more on the practical applications of the dot product and cross product.
By Lucia Moretti on 4/21/2026
I have chose this course because I been told that I miss the basic on the subject. That why I am starting from the fundamental. So far it is all familiar to me. I like the tutor: she has a very cheerful way of presenting the topic.
By Anonymized User on 9/25/2025
I am seriously surprised how well structured and in overall good this course is! I am excited to go on! :)
By Nick Kenworthy on 2/15/2025
Very good course, though the answers on the worksheets in the resources pages are sometimes wrong (please update them to be the same as the answer sheet posted in the discussion forms)! Besides the inconvenience, very engaging and explained well!
By Mark Casavantes on 10/19/2024
Very well-prepared slides. Her voice is excellent and very pleasant. Her lessons are thorough and well-prepared. I am enjoying this course.
By Gangadevi S on 1/8/2022
I have learned about vectors and calculus very clear and effective way.Lecture method is good.
By Howard Humphrey on 5/11/2021
The instructor is very clear in her explanations and illustrations. She introduces each concept building on earlier concepts. An excellent introduction to Vectors!
By AnthonyL on 1/6/2020
This course is so enlightening, well paced, "direction ally" to the point. Seldom do I rate courses in the beginning. I will come back when I finish, very likely to rate higher ?
By Kaywan Joseph Mansubi on 11/28/2019
i appreciate the enthusiasm of the content creator making the subject matter memorable and i daresay fun to work with
By Noris Isabel on 5/26/2018
Detailed and clear explanations. Great use of diagrams. Lots of support material. Great Course! I highly recommend it.
Quality Score
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Overall Score : 92 / 100









