# MT2004 Mathematics II for Maritime Studies

[Lecture: 26 hr ; Tutorial: 13 hr ; Lab: 0 hr ; Pre-requisite:MT1001; Academic Unit: 3.0 ]

Learning Objective :

This subject together with Mathematics for Maritime Studies I introduce the basic mathematical theories and techniques as listed in the contents, which will provide the students essential mathematics used in finance, business, management, as well as maritime technology and maritime sciences.

Course Content :

Basic matrix operation. Matrix inversion. Linear equations. Cramer’s Rule. Gauss-Jordan elimination. Ordinary differential equations. Applications of linear equations and ordinary differential equations in business, finance and economics. Optimization theory. Linear programming and applications in business. Network analysis and network flow problems. Introduction to Queuing models.

Course Outline :

 S/N Topic 1 Basic matrix operation. Matrix inversion. Linear equations. Cramer’s Rule. Gauss-Jordan elimination. 2 Ordinary differential equations. 3 Applications of linear equations and ordinary differential equations in business, finance and economics. 4 Optimization theory. Linear programming. Applications in business. 5 Network analysis and network flow problems. Introduction to Queuing models.

Learning Outcome :

Upon completion of the course, students should be able to have an understanding of basic matrix operation, matrix inversion, linear equations, Cramer’s Rule, Gauss-Jordan elimination, ordinary differential equations, applications of linear equations and ordinary differential equations in finance and business, optimization theory, linear programming and applications in business, network analysis and network flow problems, introduction to queuing models.

Textbook :

1. Textbook if necessary will be decided by the course lecturers before the start of the semester.

References :

1. Hoffmann, L. D., Bradley, G. L. and Rosen, K. H., Applied Calculus for Business, Economics, and the Social and Life Sciences, 11th edition, McGraw-Hill, 2012.
2. Kreyszig, E., Advanced Engineering Mathematics, 10th Edition, John Wiley, 2011.