Description
Laplace Transform is one of the techniques to solve differential equations. The aim of this course is to expose the students on the concept of Laplace transform and use it to solve the initial value problem which containing the differential equation and initial conditions. The students will also learn on how to apply the various solving techniques to solve engineering problems. This course covers four modules, where the first module discusses the introduction and some basic properties of Laplace transform. In general, the Laplace transform will transform the function from time domain to frequency domain. The linearity and first shifting property are used to obtain the Laplace transform of a particular function. Then student will learn about the unit step function or sometimes called as Heaviside function. In order to obtain the Laplace transform of unit step function, student will learn about the use of the second shifting property. Next is the third module which is focusing on the inverse Laplace transform where student will learn on how to transform the frequency domain to the time domain. In this module, the use of several properties to obtain the inverse Laplace will be explained. Finally, student will apply the Laplace transform to solve ordinary differential equation and transfer function. The Laplace Transform is a useful tool for analysing any electrical circuit.
Prerequisite
No prerequisite required.
Micro Learning Outcomes
Upon completion of this course, students should be able to:i. find the Laplace transform for a function
ii. find the Laplace transform of a unit step function
iii. find the inverse Laplace transform for a given function
iv. use Laplace transforms to convert differential equations into algebraic equations
v. apply Laplace Transforms to find solution of initial value problem for linear ordinary differential equation
Recognition
Laplace Transform
Instructor
KHOO CHIN FOON
Instructor at UcredsHi! I am Khoo, the instructor for this course. I have earned my PhD in mathematics from the Australian National University in 2013. Currently I am a senior lecturer in Universiti Teknikal Malaysia Melaka, where I used to teach subjects of Differential Equations, Engineering Mathematics, Statistics and Numerical Methods to the engineering students. In recent years, I have explored in open learning, e.g. preparing the materials for OCW and Mooc. Let's enjoy the learning journey in UCreds.
8 Students
5 Courses
RAHIFA BINTI RANOM
Instructor at UCredsHello there! I am Dr. Rahifa, a Mathematics lecturer at Fakulti Teknologi dan Kejuruteraan Elektrik, Universiti Teknikal Malaysia Melaka. I have more than 10 years of teaching mathematics experience for more than 2000 engineering students. Courses that have been taught include Differential Equations, Engineering Mathematics, Numerical Methods and Statistics. I obtained my PhD degree in Applied Mathematics from University of Southampton, UK in 2015. Let's have some fun learning Mathematics in UCreds.
8 Students
5 Courses
IRMA WANI BINTI JAMALUDIN
Instructor at UCredsirma@utem.edu.my
Hello everyone! I'm Irma, your instructor for this course and I can't wait to learn with all of you. Currently, I am teaching mathematics courses (Algebra, Calculus, Differential Equations, Engineering Mathematics) to engineering students at Universiti Teknikal Malaysia Melaka.
8 Students
5 Courses
LOH SER LEE
Instructor at UCredsHi there, I'm Loh! I am a UCreds Instructor and I specialize in mathematics. I am currently teaching mathematics (Engineering Math, Differential Equations etc.) to students at Universiti Teknikal Malaysia Melaka and now put my efforts into providing an outstanding learning experience to students around the world on UCreds.
8 Students
5 Courses
SUHAILA BINTI SALLEH
Instructor at UCredsHello everyone! I’m Suhaila and an instructor for this course. I have a first degree in Mathematics from the University of Wales College of Cardiff and pursued my doctoral training in Corrosion Science and Engineering at the University of Manchester, United Kingdom. I am currently teaching Engineering Mathematics for undergraduate engineering students and Numerical Analysis for postgraduate level at the Universiti Teknikal Malaysia Melaka. I can’t wait to learn with all of you and now, let’s enjoy the learning experience!
8 Students
5 Courses