Learn the basic arithmetic operations on vectors
What you will learn
Add and scale vectors specified geometrically or component-wise
Write the definition of a linear combination of two vectors
Write a vector as a linear combination of other vectors
Identify in simple cases if a vector is in the span of others
Write the definition of the dot product of two vectors written in components as well as the geometric definition of the dot product involving lengths and angles
Compute dot products and lengths
Find the angle between two vectors
Define and produce unit vectors
Define orthogonality
Demonstrate understanding of and apply Cauchy-Schwarz Inequality and Triangle Inequality
Description
HOW THIS COURSE WORK:
This course, Introduction to Linear Algebra: Vectors, includes the first section you will learn in Linear Algebra, including video, notes from whiteboard during lectures, and practice problems (with solutions!). I also show every single step in examples and proofs. The course is organized into the following topics:
- Geometric Vectors
- Algebraic Vectors
- Linear Combination
- Span of a Set of Vectors
- The Norm
- The Dot Product
- Cauchy-Schwarz Inequality
- Triangle Inequality
CONTENT YOU WILL GET INSIDE EACH SECTION:
Videos: I start each topic by introducing and explaining the concept. I share all my solving-problem techniques using examples. I show a variety of math issue you may encounter in class and make sure you can solve any problem by yourself.
Notes: In each section, you will find my notes as downloadable resource that I wrote during lectures. So you can review the notes even when you don’t have internet access (but I encourage you to take your own notes while taking the course!).
Assignments: After you watch me doing some examples, now it’s your turn to solve the problems! Be honest and do the practice problems before you check the solutions! If you pass, great! If not, you can review the videos and notes again.
THINGS THAT ARE INCLUDED IN THE COURSE:
- An instructor who truly cares about your success
- Lifetime access to Introduction to Linear Algebra: Vectors
HIGHLIGHTS:
#1: Downloadable lectures so you can watch the videos whenever and wherever you are.
#2: Downloadable lecture notes so you can review the lectures without having a device to watch/listen.
#3: One problem set at the end of the course (with solutions!) for you to do more practice.
#4: Step-by-step guide to help you solve problems.
See you inside the course!
– Gina 🙂
Content