MATLAB is one of the premiere programming languages in engineering, science, and economics. Arash Vafanejad is ready to guide you from beginning programmer to MATLAB master. Each lesson is completely hands-on with the actual program and homework projects allow you to practice what you have just learned. The course covers everything from Arrays & Matrices, to Logic, Program Design, Graphics, Loops, and even Simulink. Arash Vafanejad is a current PhD. candidate at the University of Southern California (2014 expected) in Electrical and Electronics Engineering. He has used MATLAB in all his studies and also taught numerous classes of students the intricacies of MATLAB.

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I. Introduction

MATLAB Essentials, Part 1 8:36
Intro 0:00
Purpose of MATLAB 0:17
Interactive Use 0:39
Accessing MATLAB 1:50
MATLAB Command Line 2:06
Navigating MATLAB Page 3:24
Limits 3:40
Predefined Value 4:10
Variables 4:48
Exponentials 6:59
Changing Defined Values 7:19
Whos Function 7:45
MATLAB Essentials, Part 2 7:39
Intro 0:00
General Functions 0:06
Date 0:09
Calendar 0:14
Commands 0:21
Command Versus Function 0:29
Scalars Versus Arrays 0:50
Plot Command 3:14
Ezplot 3:49
Help 4:30
Magic (22) 5:28
Plotting 3D Graph 6:54

II. MATLAB Fundamentals

Introduction to Programs 6:42
Intro 0:00
Help Function 0:09
Command History 1:09
Navigating 1:14
Current Folder 1:20
Resize and Undocking Windows 1:31
Sample Program 1:49
Example: Interest Calculator 3:28
Interpreter Versus Compiler 5:10
Arrays & Matrices 7:06
Intro 0:00
What is a matrix? 0:12
What is vector? 0:23
Initializing Array 0:52
Checking Vector Size 1:38
Using Commas 1:56
Linspace 3:06
Subscript 4:40
Matrices 5:53
Using Semicolon 6:07
Transposing Matrix 6:44
Operator, Expression & Statements 13:26
Intro 0:00
Expressions 0:54
Numbers 1:04
Eps 3:03
Realmin 3:24
Realmax 3:27
Data Types 3:37
Default Data Types 3:44
Double Precision 3:47
Precedence of Operators 4:19
What Are Arithmetic Operators? 4:49
Combining Operations 5:24
Precedence Rules 5:36
Parenthesis 5:53
Power, Multiplication and Division 6:12
Arithmetic Operation on Arrays 6:54
Expressions 8:21
Ans 9:09
Statements 9:19
Multiple Statements 11:50
Repeating With For 14:21
Intro 0:00
Repetition 0:19
Newton’s Method 1:39
Factorials 4:11
Limit of a Sequence 6:03
Basic For Construct 9:23
Example: Leaving Out For 12:26
Decisions, Part 1 14:35
Intro 0:00
If Function 0:13
Rand 0:44
Meaning of “1” and “0” 1:53
If-Else Construct 3:48
Elseif 8:43
Using Elseif 10:44
Logical Operators 12:13
&, |, ~ 12:33
Decisions, Part 2 8:53
Intro 0:00
Multiple Ifs Versus Elseif 0:09
Nested Ifs 2:24
Example Nested If 2:52
Vectorizing Ifs 4:45
Switch 5:12
Last Notes on MATLAB Introduction 9:47
Intro 0:00
Complex Numbers 0:12
i 0:30
j 0:39
Square Root 1:19
Exponential 1:30
Z 1:38
Absolute Value 2:09
Angle 2:11
Circle 2:44
Axis 3:29
Complex Conjugate Transpose 5:24
Input/ Output 5:52
Input Statement 6:48
Help 9:19

III. Logical Vectors

Logical Vectors, Part 1 11:23
Intro 0:00
Executing a Logical Operation 1:24
Vector 1:43
Discontinuous Graphs 2:50
Avoiding Division By Zero 5:03
Epsilon 6:35
Rolling Dice 7:49
Rand 8:09
Floor 8:24
Finding Percentage 9:46
Logical Vectors, Part 2 11:40
Intro 0:00
Logical Operators and Vectors 0:09
Logical Functions 1:09
Any 1:19
Exist 2:00
Find(x) 2:20
Defining a New Vector 3:31
Example: Tax 4:45
If ti 6:04
Elseif ti 6:25
Executing in MATLAB 7:51
Example: Using Logical Vector 8:21

IV. Program Design

Program Design & Algorithm Development 19:36
Intro 0:00
Problem Analysis 0:36
Problem Statement 0:57
Processing Scheme 1:06
Algorithm 1:16
Program Algorithm 1:52
Evaluation 2:12
Application 3:11
Example: Projectile 3:54
Example Executed in MATLAB 9:41
Txmax 11:19
Xmax 11:43
Computing Speed and Angle Direction of Projectile 13:27
Velocity 14:11
Computing Time and Horizontal Distance at Max. Altitude 15:05
Display Altitude 16:10
Num2str 16:55
Plot 17:22
Figure 18:25

V. Graphics

Graphics, Part 1 9:14
Intro 0:00
Plot Statement 0:27
Straight Line Graphs 2:29
MATLAB Easy-to-Use Plotting Commands 3:38
Labels 4:17
Example: Label 4:36
Xlabel 6:33
Ylabel 6:51
Line Styles, Markers and Color 7:05
Zooming In 9:01
Graphics, Part 2 17:20
Intro 0:00
Multiple Plots on the Same Axis 0:07
Hold On 0:53
Plotyy 2:44
Plot (x) (y) 3:34
Subplots 4:39
Figure 9:15
Graphical Input 10:06
Logarithmic Plots 11:48
Polar Plots 12:57
Fplot 14:29
Graphics, Part 3 18:37
Intro 0:00
Comet3 2:37
Mesh Surfaces 3:02
Visualizing Vector Fields 5:29
Contour 6:49
Rotation of 3D Graphs 10:30
Rotation Angles 12:30
Polar Angle 13:26
Pause Command 14:37
Other Cool Graphics Functions 14:59
Area 15:14
Bar 16:20
Compass 16:48
Errorbar 17:17

VI. Loops

Loops 10:38
Intro 0:00
Powerful Force Statement and Determinate 0:11
Indeterminate Repetition 0:36
Binomial Coefficient 0:50
For Loop 2:40
Determinate Repetition Using For 3:40
Indeterminate Repetition Using While 3:49
A Guessing Game 4:12
Create Steps to Build a Program 6:06
Implement with Syntax in MATLAB 6:08
Fixing Code Error 8:44
Condition and Loop 10:00
While 17:01
Intro 0:00
Doubling Time of an Investment 0:33
Create Steps 0:57
Translate Into Code 2:22
Conditions and Loops 4:57
Determinate For Loop Unavailability 5:07
Prime Numbers 5:27
Create Steps 6:59
Compute in MATLAB 11:11
Break and Continue 12:05
Do This and Do That 15:33
Value of K 16:44

VII. Project

Projectile Problem 16:33
Intro 0:00
Projectile Problem 0:12
Air Resistance 3:27
Location of Projectile 4:58
Example in MATLAB 6:20
Air Friction (k) 6:28
Gravitational Force (g) 6:32
Dt 6:41
Solving Differential Equation 10:59
Determining If/When the Object Hits the Ground 11:59
xhit 12:51
Chart 15:39

VIII. Function M-Files

Function M-Files, Part 1 12:55
Intro 0:00
Type 0:21
Type Sin 0:33
Type Fzero 0:55
M-file Versus Script File 1:10
Inline Objects 1:54
Input Argument 4:29
Function M-file 6:01
Defining Function 7:24
Function Y 8:14
Relative Error 9:36
Creating Finite Steps 9:58
Display 10:58
Function M-Files, Part 2 14:14
Intro 0:00
Calculating Mean and Average 0:27
Dummy Variables 2:59
Multiple Input/ Output Arguments 4:05
Function Names 4:35
h-1 Line 5:31
Local Variables 5:57
Global Variables 6:52
Defining Global Variables 7:15
Persistent Variables 8:17
Clearing Persistent Variables 9:49
Subfunctions 12:12
P-code Files 13:03
Function M-Files, Part 3 11:54
Intro 0:00
Feval 2:00
Example: Rewriting Procedure as Newton Function 2:35
Defining Function 2:50
Overview: How to Use Function 5:43
Command/Function Duality 6:18
Example 6:59
Debugging a Script 7:22
Breakpoint Alley 8:02
Debugging a Function 10:09

IX. Graphics Continued

More on Graphics 11:13
Intro 0:00
Animation 0:07
Get Frame Function 0:33
Execute in MATLAB 1:30
Movie Function 1:44
Handle Graphics Facility 2:29
Example 2:32
P = Plot 4:35
Xor 5:02
Drawnow 5:35
Creating 3D Plot 7:28
Graphical User Interface, Part 1 7:25
Intro 0:00
GUIDE 0:53
Push Button 1:54
Property Inspector 2:06
Push Button Name 2:26
Edit Callback 3:13
Clock Function 3:56
String Property 6:23
Get Call Back Object (GCBO) 6:31
Set 6:68
Graphical User Interface, Part 2 9:33
Intro 0:00
Static Text 0:39
Changing Font 0:59
Push Button 1:10
Edit Text Versus Static Text 1:49
Changing Text2 Tag Name 4:00
Adding Program Routine to MATLAB 4:51
String 5:01
Changing String to Numbers 5:15

X. Dynamical Systems

Dynamical Systems 12:45
Intro 0:00
Cantilever Beam 1:10
Examining Flow of Electric Current 1:37
Using MATLAB 2:06
Modulus of Elasticity 4:40
Moment of Inertia 4:48
Equation in MATLAB 5:26
Changing Property of Line Width 6:36
Deflection of Beam Graph 8:06
Electrical Current Figure 8:21
Equation for Finding Relation Between Voltage and Current 9:00
Graph of Solution 12:09

XI. Simulation

Examples of Simulation 10:45
Intro 0:00
Example: Flipping Coins 0:34
MATLAB Equation 1:18
Changing Value of N 3:14
Example: Roll of Dice 3:49
Example: Random Walk 4:44
Illustration 5:17
MATLAB Equation 7:27
Probability 10:16

XII. Numerical Methods

Numerical Methods 22:20
Intro 0:00
Integration 0:14
Non-Well Behaved Functions 0:28
Example: Integration 1:18
Trapezoidal Rule 1:47
Numerical Method 5:39
Symbolic Variables 8:18
Numerical Differentiation 9:15
Diff 10:50
First Order Differential Equation 12:40
Euler’s Method 14:18
Exponential Growth 17:35
Limitations of Euler’s 21:44

Intro 0:00