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Mathematics for Engineering

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Publisher : Jung-Chang Liou

Course Language : English

Course 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. 

What are the requirements?

  • Students would only need to know basic addition, subtraction, multiplication and division.

What am I going to get from this course?

  • 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

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.