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Welcome to this thorough course on vectors for Math and Calculus.
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
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:
Welcome to this thorough course on vectors for Math and Calculus.
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
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.
You will learn:
How to use our virtual classroom.
How to access and navigate course content.
How to use the discussion forums and ask new questions.
After this lecture you will know the fundamental aspects of 2D vectors.
After this lecture you will be able to identify what the origin is and where it is located.
After this lecture you will know how to denote vectors using two types of notations.
After this lecture you will be able to identify vector components and what they represent graphically.
After this lecture you will be able to identify the three main properties of vectors: Magnitude, Direction and Sense.
After this lecture you will be able to determine if two vectors are equal based on three criteria.
Test your knowledge with this quiz.
After this lecture you will be able to identify and find the components of a vector that starts at the origin.
After this video you will be able to identify and find the components of a vector that doesn't start at the origin.
In this lecture you will practice how to find vector components.
After this lecture you will be able to add vectors graphically using two methods:
After this lecture you will learn how to add vectors using their components.
After this lecture you will be able to identify the opposite vector of any vector both graphically and using components.
After this lecture you will be able to subtract vectors graphically and understand the concept of vector subtraction.
After this lecture you will be able to subtract vectors using their components.
In this lecture you will learn the main properties of vector addition and we will prove them graphically.
After this lecture you will be able to identify when a vector is in Polar coordinates and the elements needed to describe it.
In this lecture you will learn what it means to multiply a scalar by a vector and how to calculate it.
After this lecture you will know how vectors change when they are multiplied by numbers between 0 and 1 and negative numbers.
In this lecture you will learn the general properties of multiplying a scalar by a vector.
After this lecture you will be able to rewrite a vector expressed in Cartesian coordinates in Polar Coordinates.
After this lecture you will be able to rewrite a vector expressed in Polar coordinates in Cartesian Coordinates.
After this lecture you will know what the magnitude of a vector represents graphically.
In this lecture you will learn how to calculate the magnitude of a vector using a formula derived from the Pythagorean Theorem.
In this lecture you will learn what the direction of a vector is, how it is measured and two notations used to describe it.
After this lecture you will be able to find the direction of a vector located in the first quadrant using a formula.
In this lecture you will learn how to find the direction of vectors located in the 2nd, 3rd or 4th quadrants.
After this lecture you will be able to find the dot product of two vectors using their components.
In this lecture you will learn how to convert an angle from Degrees to Radians and from Radians to Degrees.
After this lecture you will know what the dot product is and how it is based on the orthogonal projection of a vector onto another.
After this lecture you will be able to determine when two vectors are orthogonal both graphically and using the dot product.
After this lecture you will be able to solve problems that combine all the previous operations you learned during the course.
After this lecture you will be able to identify if two vectors are linearly dependent both graphically and using systems of linear equations.
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High-quality LaTeX equations and helpful resources enhance the learning experience.
Extensive practice and quizzes reinforce understanding and build confidence.
Diagrams and animations greatly enhance learning for visual learners.
Complex topics are broken down and made easy to understand.
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