Mathematics for Engineering
4.0 (38 ratings)
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Mathematics for Engineering

Applied Mathematics for Beginners
4.0 (38 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
1,985 students enrolled
Created by Jung-Chang Liou
Last updated 7/2017
English
Price: Free
Includes:
  • 3.5 hours on-demand video
  • 11 Supplemental Resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • Ability to distinguish different numbers types and understand power, logarithm, sine and cosine
  • Understanding the difference between functions and equations and knowing how to plot basic functions and solve for equations.
  • Knowing the definition of differentiation and integration from the first principle and how to use some properties and rules to find the derivatives and integration of more complicated functions
  • Ability to do basic complex number arithmetic using both polar and rectangular forms.
  • Understanding sequence and series and knowing how to evaluate a series.
  • Knowing why all of these topics are important in engineering
View Curriculum
Requirements
  • Students would only need to know basic addition, subtraction, multiplication and division.
Description

Mathematics for Engineering is designed for students with little math backgrounds to learn Applied Mathematics in the most simple and effective way. The aim of this course is to provide students with the knowledge of not only mathematical theories but also their real world applications so students understand how and when to use them.

This course is divided into 3 sections. Section 1 (the first 4 lectures) covers the most fundamental math that anyone should learn. Here you will learn about different number types, power, square root, logarithm, sine and cosine functions as well as solving different types of equations. At the end of section 1 you should have a better understanding of functions and equations. Section 2 (Lecture 5 to Lecture 9) introduces you to the world of calculus. Here you will learn the fundamental definition of integration and differentiation. You will also learn the most commonly-used rules and properties through simple examples. Section 3 (Lecture 10 & 11) covers complex number and sequence & series. In these two lectures you will learn their practical use, complex number arithmetic, graphical representations and how to evaluate a series.

At the end of this course, you should have a good understanding of all the topics covered in this course and be able to use them in the real world application. 

Who is the target audience?
  • Students who wish to learn applied mathematics. That is, how mathematics is used in the practical world.
  • Students who are going to learn more advanced engineering courses. Most intermediate engineering courses will require the basic math covered in this course.
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Curriculum For This Course
24 Lectures
03:37:22
+
Overview
2 Lectures 14:04

This covers an overview of the course and the main objectives. 

Course Introduction
02:24

Preview of all the lectures.

Course Preview
11:40
+
Fundamental Math
4 Lectures 42:58

Lec 1 talks about different number types, power, square root and logarithms. 

Lecture 1 - Numbers
11:12

Lec 2 explains what functions are, the use of a function and how to plot basic functions. Here you will also learn the sine and cosine function.

Lecture 2 - Functions
10:49

Lec 3 explains what equations are and how to solve 1st and 2nd order equations using factorisation.

Lecture 3 - Equations Part I
11:15

Lec 4 shows how to use a quadratic formula and how a system of equations can be solved using elimination and substitution.

Lecture 4 - Equations Part II
09:42

This quiz tests your knowledge from Lecture 1 to Lecture 4

Numbers, Functions and Equations Quiz
5 questions
+
World of Calculus
5 Lectures 39:24

Lec 5 shows you the simple definition and practical use of differentiation, how to find differentiation using the first principle as well as the property of linearity. 

Lecture 5 - Differentiation Part I
09:21

Lec 6 covers the product rule, quotient rule and chain rule. It also briefly talks about differentiability

Lecture 6 - Differentiation Part II
07:34

Lec 7 explain what integration is, its practical use and how it was derived (Riemann Sum). It also shows the difference between definite and indefinite integrals, integrals of commonly used functions and the property of linearity.

Lecture 7 - Integration Part I
07:01

Lec 8 shows you how to use integration by substitution and integration by parts. Many examples are given here.

Lecture 8 - Integration Part II
10:36

Lec 9 covers integration by partial fractions and summaries the difference between the 3 (integration by substitution, by parts and by partial fraction.) Some simple properties are also included here. 

Lecture 9 - Integration Part III
04:52

This Quiz covers the topic from lecture 5 to lecture 9

Calculus Quiz
11 questions
+
Complex Numbers, Sequence & Series
2 Lectures 19:17

Lec 10 covers the use of complex numbers, complex number arithmetic, graphical representation and the difference between the rectangular and the polar form. 

Lecture 10 - Complex Numbers
11:34

Lec 11 explains the definition and practical use of sequence and series. It also briefly talks about convergence. An example is given to show how a series is evaluated. 

Lecture 11 - Sequence & Series
07:43

This quiz covers the last two lectures

Complex Numbers, Sequence & Series Quiz
6 questions
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Reuploads with Music Removed
11 Lectures 01:41:39
(No Music) Lecture 1 - Numbers
11:12

(No Music) Lecture 2 - Functions
10:49

(No Music) Lecture 3 - Equations Part I
11:15

(No Music) Lecture 4 - Equations Part II
09:42

(No Music) Lecture 5 - Differentiation Part I
09:21

(No Music) Lecture 6 - Differentiation Part II
07:34

(No Music) Lecture 7 - Integration Part I
07:01

(No Music) Lecture 8 - Integration Part II
10:36

(No Music) Lecture 9 - Integration Part III
04:52

(No Music) Lecture 10 - Complex Numbers
11:34

(No Music) Lecture 11 - Sequence & Series
07:43
About the Instructor
Jung-Chang Liou
3.9 Average rating
81 Reviews
2,607 Students
2 Courses
Design Engineer

With many years working in the fields of Electrical Engineering as a research assistant, design engineer and a teacher, I have learned to deliver both the theoretical and practical knowledge to my students in the most direct and simple way.

In my course, You will find that all the lectures follow through one another and I will always include the reason for learning a particular theory.

My philosophy of teaching is to encourage students to start and finish a course by giving them just enough information at the beginning. Then I will provide more details as students begin to think, to try, to encounter problems and to question. This type of active learning has proven to be most effective through my years of teaching which is why I use it here. So learn actively and ask questions!

My goal is for students to learn Electrical Engineering in the most straightforward, simple and efficient way.