Unit Code: MTH618

Unit Name: Mathematics for Engineers III

Description: When engineers design structures, they are likely to conduct experiments and tests regarding the suitability of the land, materials used in construction and the effect of weather. Statistical mathematics is very useful for engineers when analyzing the data obtained from experiments. In addition, engineers are required to understand the importance of waves travelling through a structure such as a bridge or building which can ultimately lead to damage and failure. Partial differential equations are used in this case to understand the propagation of waves through a medium. This course teaches all the necessary techniques for solving partial differential equations and utilizing statistical mathematics for the analysis of experimental data.

Learning Target Outcomes: On successful completion of this course, you should be able to complete the following: 1. Apply knowledge of probability, statistics, optimization and partial differential equation, engineering fundamentals and an engineering specialization to the solution of complex engineering problems (WA1 Engineering knowledge). 2. Develop from the qualitative description of the problem mathematical models derived from fundamental principles and justifiable assumptions (WA2 - IoA 3 – Problem analysis). 3. Select appropriate mathematical techniques and apply these proficiently in determining a solution to the problem (WA2 - IoA 4 – Problem analysis). 4. Apply MATLAB to determine solutions to mathematical problems and to investigate the conclusions and limitations of certain mathematical models under various initial conditions (WA5 – IoA 2 – Modern tool usage).

Prerequisite: MTH518

Prerequisite Sentence: N/A

Credit Point: 15

Offered In: Semester 1