A deep dive into the fundamentals of vectors for math and calculus through hands-on practice and engaging visuals.

Welcome to this thorough course on vectors for Math and Calculus!

What you’ll learn

- Perform operations with 2D and 3D vectors such as addition, subtraction, scalar multiplication, dot product, cross product..
- Transform vectors from Cartesian coordinates to Polar coordinates and vice versa..
- Calculate and identify the main properties and elements of vectors: components, magnitude, direction and sense..
- Determine if vectors are orthogonal, linearly dependent or linear combinations of other vectors..
- Find a unit vector from any vector..

Course Content

- Welcome to the Course –> 3 lectures • 3min.
- Introduction to 2D Vectors –> 7 lectures • 11min.
- Vector Components –> 6 lectures • 13min.
- Vector Addition –> 8 lectures • 16min.
- Multiplying a Scalar by a Vector –> 7 lectures • 12min.
- Magnitude –> 6 lectures • 10min.
- Direction –> 6 lectures • 12min.
- Polar Coordinates –> 7 lectures • 10min.
- Dot Product –> 7 lectures • 11min.
- Orthogonal Vectors –> 5 lectures • 5min.

Requirements

- Basic knowledge of high school math and systems of linear equations..
- A calculator with trigonometric functions (sin, cos, tan)..
- Enthusiasm and a spoonful of excitement! : ).

**Welcome to this thorough course on vectors for Math and Calculus!**

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**Student Reviews:**

“Detailed and clear explanations. Great use of diagrams. Lots of support material. Great Course! I highly recommend it.” — Noris Isabel

“Simple and clear.” — Karnik Vatsalya Ananta

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You will master vectors by solving **more than 162 practice problems** and you will acquire the knowledge you need for more advanced courses in **math,** **calculus**, **physics **and other fields.

What makes this course **really unique** is:

**Engaging visuals:**If you are a visual learner (like me!) you will find the lectures very engaging. I’ve designed it to explain vectors for calculus with detailed and colorful slides, animations and diagrams.**Mathematical Expressions Completely written in LaTeX:**This course is completely written in LaTeX, a special software that interprets mathematical expressions and produces nice-looking equations and expressions. Say goodbye to writing with the cursor!**PDF handouts:**On each section you will find PDF handouts with the diagrams presented for you to download and read while you’re on the go. Vectors will always be right there with you!**Hands-on practice:**Each section has practice problems with their corresponding answers.**Quizzes:**Every section has quizzes to check your knowledge and to help you determine the areas you may need to practice a little bit more.**Discussion Forums:**You will have access 24/7 to the course discussion forums. You can ask any questions you may have and I will be very glad to help you.

Learn to love calculus,

Start mastering **vectors **for **math, calculus and physics** right now,

**See you in class!**