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Keep shoppingVectors for Math and Calculus: A Complete & Practical Course
1,089 students
Vectors for Math and Calculus: A Complete & Practical Course
Learn the fundamentals of 2D and 3D Vectors for Math and Calculus through hands-on practice and engaging visuals.
Created byEstefania Cassingena Navone
Last updated 6/2025
English
What you'll 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.
Explore related topics
Course content
17 sections • 96 lectures • 4h 5m total length
Requirements
- Basic knowledge of high school math. This includes a basic understanding of algebra and geometry, and comfort working with linear equations and simple systems of equations.
- A scientific calculator that can handle trigonometric functions like sine, cosine, and tangent.
- Come ready with enthusiasm to learn and explore the interesting world of vectors. Your curiosity is your most important tool!
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.
Who this course is for:
- Students currently enrolled in Calculus and Physics courses who want to strengthen their foundational understanding of vector-related concepts.
- Professionals looking to refresh their knowledge of vectors, perhaps for new career opportunities, to tackle specific project challenges, or to simply brush up on essential skills.
- Self-motivated learners with a passion for mathematics and physics who wish to explore the fundamentals of vectors at their own pace.
- Parents or guardians who wish to gain a deeper understanding of vector concepts to support their children during their studies of math and science.