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Vector Calculus Basics for Engineering Students
Rating: 4.7 out of 5(34 ratings)
313 students

Vector Calculus Basics for Engineering Students

Vector math fundamentals you need to succeed in engineering
Created byCherish Qualls, PhD
Last updated 12/2020
English

What you'll learn

  • Position Vectors
  • Dot Product
  • Cross Product
  • Direction Cosines
  • Finding vectors using transverse and azimuth angles
  • 2d and 3d Cartesian Vectors, magnitude, unit vectors
  • and more!

Explore related topics

Course content

1 section • 19 lectures • 5h 37m total length

  • Introduction14:44
  • 1.2 Addition and Subtraction11:34

    Demonstrates vector addition and subtraction using parallelograms, showing AB + AC = AD and AB − AC via −AC, then translates vectors into coordinate form and explains scalar multiplication.

  • Example Set 110:48
  • 1.3 Position Vector6:41
  • Example Set 211:39
  • 1.4 2D Cartesian Vectors22:02
  • Example Set 3 Part 118:00
  • Example Set 3 Part 230:37
  • 1.5 3D Cartesian Vectors27:40
  • Example Set 4 Part 117:50
  • Example Set 4 Part 224:00
  • 1.6 Dot Product14:15
  • 1.7 Orthogonal Vectors and Direction Cosines21:35
  • Example Set 527:28
  • 1.8 Cross Product25:04
  • Example Set 6 Part 114:15
  • Example Set 6 Part 28:42
  • 1.9 Area and Volume9:12
  • Example Set 720:54

    Explore 3d vectors and cross products to verify parallelograms, compute areas of parallelograms and triangles, determine volumes via triple products, and test coplanarity using dot and cross products.

Requirements

  • Algebra

Description

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. These courses rely heavily on vector applications so the better you understand vector math, the easier these courses will be.

What you'll get with the course

  • 4+ 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


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

Who this course is for:

  • Engineering students preparing for vector application courses like Statics, Dynamics, Fluid Mechanics and Vector Calculus
  • Students wanting to learn a new math concept

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