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.
This covers an overview of the course and the main objectives.
Preview of all the lectures.
Lec 1 talks about different number types, power, square root and logarithms.
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.
Lec 3 explains what equations are and how to solve 1st and 2nd order equations using factorisation.
Lec 4 shows how to use a quadratic formula and how a system of equations can be solved using elimination and substitution.
This quiz tests your knowledge from Lecture 1 to Lecture 4
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.
Lec 6 covers the product rule, quotient rule and chain rule. It also briefly talks about differentiability
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.
Lec 8 shows you how to use integration by substitution and integration by parts. Many examples are given here.
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.
This Quiz covers the topic from lecture 5 to lecture 9
Lec 10 covers the use of complex numbers, complex number arithmetic, graphical representation and the difference between the rectangular and the polar form.
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.
This quiz covers the last two lectures
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.