Vector Calculus Basics For Engineering Students

Vector math fundamentals you need to succeed in engineering

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!

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 course4+ hours of on-demand lecture videos35+ fully-worked examples to teach you how to apply the material7 homework sets with solutions so you can practice what you've learnedDownloadable outline of notes with all example problem statements to help you follow along with the lecturesWhat you'll learnThis course covers all you need to get started with vectors. We'll cover:Notation & termsAddition &subtractionPosition vectorsMagnitudeUnit vectors2D & 3D Cartesian vectorsProperties of vectorsFinding vectors using transverse and azimuth anglesDot productDirection cosinesCross ProductFinding area and volume of parallelograms and triangles

Overview

Section 1: Introduction

Lecture 1 Introduction

Lecture 2 1.2 Addition and Subtraction

Lecture 3 Example Set 1

Lecture 4 1.3 Position Vector

Lecture 5 Example Set 2

Lecture 6 1.4 2D Cartesian Vectors

Lecture 7 Example Set 3 Part 1

Lecture 8 Example Set 3 Part 2

Lecture 9 1.5 3D Cartesian Vectors

Lecture 10 Example Set 4 Part 1

Lecture 11 Example Set 4 Part 2

Lecture 12 1.6 Dot Product

Lecture 13 1.7 Orthogonal Vectors and Direction Cosines

Lecture 14 Example Set 5

Lecture 15 1.8 Cross Product

Lecture 16 Example Set 6 Part 1

Lecture 17 Example Set 6 Part 2

Lecture 18 1.9 Area and Volume

Lecture 19 Example Set 7

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