Course Syllabus
Roots of Equations
1.1 Bisection method
1.2 False-position method
1.3 Newton-raphson method
1.4 Secant method
Numerical Solutions of Simultaneous Equations
2.1 Gauss Elimination Method (with and without pivoting)
2.2 Gauss Jordan Method
Optimisation and Curve Fitting
3.1 Linear Programming - Simplex Method
3.2 Least-Squares Regression (linear & polynomial)
3.3 Interpolation (linear & polynomial)
Numerical Integration
4.1 Trapezoidal rule
4.2 Simpson’s one-third rule
4.3 Simpson’s three-eighth rule
Ordinary differential equations
5.1 Euler’s method
5.2 Modified Euler’s method (Midpoint method)
Finite Element Method
6.1 Introduction on Finite Element Analysis (idealizing, modeling, meshing, analyzing and interpreting structures systems for stresses, strains, forces and deformations under loading; treatment of force and displacement boundary conditions, plane stress and plane strain elements)
6.2 Bar or spring element
6.3 Truss element
6.4 Beam element
1.1 Bisection method
1.2 False-position method
1.3 Newton-raphson method
1.4 Secant method
Numerical Solutions of Simultaneous Equations
2.1 Gauss Elimination Method (with and without pivoting)
2.2 Gauss Jordan Method
Optimisation and Curve Fitting
3.1 Linear Programming - Simplex Method
3.2 Least-Squares Regression (linear & polynomial)
3.3 Interpolation (linear & polynomial)
Numerical Integration
4.1 Trapezoidal rule
4.2 Simpson’s one-third rule
4.3 Simpson’s three-eighth rule
Ordinary differential equations
5.1 Euler’s method
5.2 Modified Euler’s method (Midpoint method)
Finite Element Method
6.1 Introduction on Finite Element Analysis (idealizing, modeling, meshing, analyzing and interpreting structures systems for stresses, strains, forces and deformations under loading; treatment of force and displacement boundary conditions, plane stress and plane strain elements)
6.2 Bar or spring element
6.3 Truss element
6.4 Beam element
Frequently Asked Questions
Q1 : What is the basic knowledge required for this course?
A1 : Fundamental knowledge on mathematic, linear algebra, and engineering. Some exposure to linear algebra (matrices) at the level of Linear Algebra helps but is NOT REQUIRED. The assignments will involve basic computer programming using Microsoft Excel and any Finite Element Analysis software of your choice (ABAQUS, LUSAS, ANSYS and any relevant FEA software is recommended).
Q2 : What this course is all about?
A2 : Numerical analysis is the study of techniques that employ numerical approximation to address mathematical-based analysis problems that cannot be solved analytically. The course covers the numerical approaches used to solve Civil Engineering problems. Numerical analysis is now used in all sectors of engineering and the physical sciences, and recent advances in computing power have enabled the use of increasingly complicated numerical analysis, offering detailed and realistic mathematical models in science and engineering. The course will expose learners to diagnose about engineering problem using the fundamental principles of the numerical analysis and finite element method. At the end of the course, the students should be able to perform numerical and finite element analysis using suitable computer software to provide valid solution to engineering problem.
Q3 : What method of teaching will be used for this course?
A3 : This course is an online course. Both the asynchronous and synchronous mode of teaching will be used as a teaching mode.
Q4 : What kind of evaluation is performed in this course?
A4 : There are two types of assessments method use for the course. The first is Formative assessments (non-graded) and second is the summative assessments (graded). Formative assessments (non-graded) - Finite element hands-on real project activity . Summative assessments (graded with 90% average passes marks for each chapter) - Learner will be evaluated via quiz/assignment/report in terms of knowledge, problem solving, and proficiency in using modern tools at the end of each chapter/module. - Each chapter allows for a maximum of 5-10 attempts (depending on the chapter) for the student to re-sit the provided task. - To pass the course, an average of 90% must be obtained.
Q5 : How long is the course duration?
A5 : The course duration is 14 weeks. The students are expected to devote four hours each week to the course. The course requires 56hrs learning efforts.
Q6 : What technology is required to take an online course?
A6 : A computer, a high-speed Internet connection, a recent version of a web browser, and access to common tools and software such as word processors, email, and so on are required. Other software or technological prerequisites may apply to this courses.
Q7 : Is it feasible to obtain a degree through the course offered?
A7 : No. The course is a short duration competency course, in which at the end of the course learners will receive a certificate.
Q8 : What is the passing grade for this course?
A8 : The passing grade for this course is 50%. The 50% marks are defined as average cumulative marks obtained from all graded summative assessments provided by the course.
Q9 : How can i get started with the learning activity
A9 : You may go to the homepage and there will be a starter prompt instruction for the prospect and current learners
A1 : Fundamental knowledge on mathematic, linear algebra, and engineering. Some exposure to linear algebra (matrices) at the level of Linear Algebra helps but is NOT REQUIRED. The assignments will involve basic computer programming using Microsoft Excel and any Finite Element Analysis software of your choice (ABAQUS, LUSAS, ANSYS and any relevant FEA software is recommended).
Q2 : What this course is all about?
A2 : Numerical analysis is the study of techniques that employ numerical approximation to address mathematical-based analysis problems that cannot be solved analytically. The course covers the numerical approaches used to solve Civil Engineering problems. Numerical analysis is now used in all sectors of engineering and the physical sciences, and recent advances in computing power have enabled the use of increasingly complicated numerical analysis, offering detailed and realistic mathematical models in science and engineering. The course will expose learners to diagnose about engineering problem using the fundamental principles of the numerical analysis and finite element method. At the end of the course, the students should be able to perform numerical and finite element analysis using suitable computer software to provide valid solution to engineering problem.
Q3 : What method of teaching will be used for this course?
A3 : This course is an online course. Both the asynchronous and synchronous mode of teaching will be used as a teaching mode.
Q4 : What kind of evaluation is performed in this course?
A4 : There are two types of assessments method use for the course. The first is Formative assessments (non-graded) and second is the summative assessments (graded). Formative assessments (non-graded) - Finite element hands-on real project activity . Summative assessments (graded with 90% average passes marks for each chapter) - Learner will be evaluated via quiz/assignment/report in terms of knowledge, problem solving, and proficiency in using modern tools at the end of each chapter/module. - Each chapter allows for a maximum of 5-10 attempts (depending on the chapter) for the student to re-sit the provided task. - To pass the course, an average of 90% must be obtained.
Q5 : How long is the course duration?
A5 : The course duration is 14 weeks. The students are expected to devote four hours each week to the course. The course requires 56hrs learning efforts.
Q6 : What technology is required to take an online course?
A6 : A computer, a high-speed Internet connection, a recent version of a web browser, and access to common tools and software such as word processors, email, and so on are required. Other software or technological prerequisites may apply to this courses.
Q7 : Is it feasible to obtain a degree through the course offered?
A7 : No. The course is a short duration competency course, in which at the end of the course learners will receive a certificate.
Q8 : What is the passing grade for this course?
A8 : The passing grade for this course is 50%. The 50% marks are defined as average cumulative marks obtained from all graded summative assessments provided by the course.
Q9 : How can i get started with the learning activity
A9 : You may go to the homepage and there will be a starter prompt instruction for the prospect and current learners