Introduction to Linear Algebra: Vectors
Introduction to Linear Algebra: Vectors, available at Free, has an average rating of 4.8, with 19 lectures, based on 32 reviews, and has 2885 subscribers.
You will learn about 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 This course is ideal for individuals who are Anyone who has completed precalculus (algebra and trigonometry) and wants to learn some more advanced math or Current Linear Algebra students who are looking for extra help on vectors or Anyone who is not in science stream but wants to study Linear Algebra for fun It is particularly useful for Anyone who has completed precalculus (algebra and trigonometry) and wants to learn some more advanced math or Current Linear Algebra students who are looking for extra help on vectors or Anyone who is not in science stream but wants to study Linear Algebra for fun.
Enroll now: Introduction to Linear Algebra: Vectors
Summary
Title: Introduction to Linear Algebra: Vectors
Price: Free
Average Rating: 4.8
Number of Lectures: 19
Number of Published Lectures: 19
Number of Curriculum Items: 20
Number of Published Curriculum Objects: 20
Original Price: Free
Quality Status: approved
Status: Live
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
Who Should Attend
- Anyone who has completed precalculus (algebra and trigonometry) and wants to learn some more advanced math
- Current Linear Algebra students who are looking for extra help on vectors
- Anyone who is not in science stream but wants to study Linear Algebra for fun
Target Audiences
- Anyone who has completed precalculus (algebra and trigonometry) and wants to learn some more advanced math
- Current Linear Algebra students who are looking for extra help on vectors
- Anyone who is not in science stream but wants to study Linear Algebra for fun
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:
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Geometric Vectors
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Algebraic Vectors
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Linear Combination
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Span of a Set of Vectors
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The Norm
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The Dot Product
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Cauchy-Schwarz Inequality
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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:
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An instructor who truly cares about your success
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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 🙂
Course Curriculum
Chapter 1: Introduction
Lecture 1: Course Outline
Lecture 2: Welcome and How It Works
Lecture 3: Tips to Maximize Your Learning
Chapter 2: Vectors
Lecture 1: Downloadable Notes
Lecture 2: Geometric Vectors
Lecture 3: Remarks on Geometric Vectors
Lecture 4: Example: Application of Geometric Vectors
Lecture 5: Algebraic Vectors
Lecture 6: Examples: Algebraic Vectors
Lecture 7: Linear Combination
Lecture 8: Span of a Set of Vectors
Lecture 9: The Norm
Lecture 10: Theorems Related to the Norm
Lecture 11: The Dot Product
Lecture 12: Remarks and Examples of Dot Product
Lecture 13: Theorems Related to the Dot Product
Lecture 14: Cauchy-Schwarz Inequality and Triangle Inequality
Chapter 3: Conclusion
Lecture 1: Thank you & Good Luck & Next Step
Lecture 2: BONUS: Let's Keep Learning!
Instructors
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Gina Chou
Physicist, Dr. Chou
Rating Distribution
- 1 stars: 0 votes
- 2 stars: 0 votes
- 3 stars: 2 votes
- 4 stars: 7 votes
- 5 stars: 23 votes
Frequently Asked Questions
How long do I have access to the course materials?
You can view and review the lecture materials indefinitely, like an on-demand channel.
Can I take my courses with me wherever I go?
Definitely! If you have an internet connection, courses on Udemy are available on any device at any time. If you don’t have an internet connection, some instructors also let their students download course lectures. That’s up to the instructor though, so make sure you get on their good side!
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