Vector Math Basics for Engineering Students
Fundamentals of Vector Math to Help You Succeed in Engineering
What are vectors?
A vector is a fundamental math concept that's used extensively in engineering. Understanding the math behind vectors before you start using vectors in engineering courses improves your comprehension and makes the learning curve much shorter.
Who is this course for?
This course is designed for students in engineering who need a review of vector concepts before taking courses such as Statics, Dynamics, Fluid Mechanics and Vector Calculus.
What you'll get with the course
- 5.5 hours of on-demand lecture videos
- 35+ fully-worked examples to teach you how to apply the material
- 7 homework sets with solutions so you can practice what you've learned
- Downloadable outline of notes with all example problem statements to help you follow along with the lectures
- Email access to the instructor for when you have questions over course content
- 30-day money back guarantee. Please see the Terms of Use here for more details.
What you'll learn
This course covers all you need to get started with vectors. We'll cover:
- Notation & terms
- Addition &subtraction
- Position vectors
- Magnitude
- Unit vectors
- 2D & 3D Cartesian vectors
- Properties of vectors
- Finding vectors using transverse and azimuth angles
- Dot product
- Direction cosines
- Cross Product
- Finding area and volume of parallelograms and triangles
Click here to see the full curriculum
Your Instructor
Teaching is my passion. As a University professor I have taught 1000's of students and watched them transform from freshmen into successful engineers. Unlike many STEM professors, I believe in teaching complex material in simple, easy-to-understand terms. I teach my courses in a way I wish I had been taught: straightforward lectures with plenty of examples on how to apply the theory being learned.
In addition to University experience, I also worked as an engineer for 8 years in industry at a well-known defense company. This experience enables me to focus in on topics that are actually applicable in the real world, not just textbook problems.
Come learn with me!
Course Curriculum
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PreviewVector Basics Outline of Notes Downloadable File
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Start1.1 Introduction (14:44)
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Start1.2 Addition and Subtraction (11:34)
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StartExample Set 1 (10:48)
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StartHomework 1
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StartHomework 1 Solution
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Preview1.3 Position Vector (6:41)
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PreviewExample Set 2 (11:38)
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PreviewHomework 2
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StartHomework 2 Solution
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Start1.4 2d Cartesian Vectors (22:02)
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StartExample Set 3 Part 1 (18:00)
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StartExample Set 3 Part 2 (30:37)
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StartHomework 3
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StartHomework 3 Solution
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Start1.5 3D Cartesian Vectors (27:40)
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StartExample Set 4 Part 1 (17:50)
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StartExample Set 4 Part 2 (24:00)
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StartHomework 4
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StartHomework 4 Solution
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Start1.6 Dot Product (14:15)
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Start1.7 Orthogonal Vectors and Direction Cosines (21:34)
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StartExample Set 5 (27:28)
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StartHomework 5
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StartHomework 5 Solution
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Start1.8 Cross Product (25:04)
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StartExample Set 6 Part 1 (14:15)
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StartExample Set 6 Part 2 (8:42)
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StartHomework 6
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StartHomework 6 Solution
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Start1.9 Area and Volume (9:12)
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StartExample Set 7 (20:54)
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StartHomework 7
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StartHomework 7 Solution