Engineering Mathematics 4A
Unit code: HMS212
| Credit points | 12.5 Credit Points |
| Duration | 1 Semester |
| Contact hours | 60 hours |
| Campus | Hawthorn, Sarawak |
| Prerequisites | HMS112 |
| Corequisites | Nil |
Related course(s)
A unit of study in the;
Aims and objectives
This unit of study aims to provide you with the mathematical knowledge and skills to support their concurrent and subsequent engineering studies.
After successfully completing this unit, you should be able to:
1. Construct techniques to solve eigenvalue problems. (K2)
2. Use eigenvalues techniques to solve ordinary differential equations. (K2)
3. Execute gradient of scalar functions. (S2)
4. Execute divergence and curl of vector field. (S2)
5. Construct solutions of multiple integrals. (K2)
6. Apply Green’s theorem and Stoke’s theorem. (S2)
7. Execute numerical solutions of initial value problems. (K2)
8. Use finite difference methods to obtain numerical solutions of ordinary and partial differential equations. (K2)
9. Use Mathematica in all of the above areas. (S1, S2)
1. Construct techniques to solve eigenvalue problems. (K2)
2. Use eigenvalues techniques to solve ordinary differential equations. (K2)
3. Execute gradient of scalar functions. (S2)
4. Execute divergence and curl of vector field. (S2)
5. Construct solutions of multiple integrals. (K2)
6. Apply Green’s theorem and Stoke’s theorem. (S2)
7. Execute numerical solutions of initial value problems. (K2)
8. Use finite difference methods to obtain numerical solutions of ordinary and partial differential equations. (K2)
9. Use Mathematica in all of the above areas. (S1, S2)
Swinburne Engineering Competencies for this Unit of Study
This Unit of Study will contribute to you attaining the following Swinburne Engineering Competencies:
K2 Maths and IT as Tools: Proficiently uses relevant mathematics and computer and information science concepts as tools.
S1 Engineering Methods: Applies engineering methods in practical applications.
S2 Problem Solving: Systematically uses engineering methods in solving complex problems.
This Unit of Study will contribute to you attaining the following Swinburne Engineering Competencies:
K2 Maths and IT as Tools: Proficiently uses relevant mathematics and computer and information science concepts as tools.
S1 Engineering Methods: Applies engineering methods in practical applications.
S2 Problem Solving: Systematically uses engineering methods in solving complex problems.
Assessment
| Types | Individual or Group Assessment | Weighting |
| Examination | Individual | 55% - 70% |
| Test(s)/Assignments | Individual | 45% - 30% |
Content
- Matrix analysis: The eigenvalue problem, numerical methods, reduction to canonical form, functions of a matrix, engineering application
- Vector Vector calculus: Derivatives of a scalar point function, derivatives of a vector point function, line integrals, double integrals, surface integrals, volume integrals, Green's theorem in the plane, Gauss divergence theorem, Stokes theorem, engineering application
- Numerical solution of ordinary differential equations: Initial value and boundary value problems.
- Solution of partial differential equations: numerical solutions applying finite difference methods for the Laplace equation and the heat conduction equation.
