Mathematics for Engineering and the Environment Part II

Learning Outcomes

Learning Outcomes

Having successfully completed this module you will be able to:

• Demonstrate knowledge and understanding of ODE eigenvalue problems, Fourier series and transformations, Laplace transforms and partial differential equations
• Critically analyse and solve some mathematical problems relevant to engineering
• Perform calculations in simple situations and work through some longer examples
• Demonstrate organisational and time-management skills
• Demonstrate knowledge and understanding of statistics (Civil Engineering).
• Demonstrate knowledge and understanding of vector calculus (Mech, Ship, Aero, ISVR)

• 2nd order ODEs
• boundary value problems
• Fourier series: real and complex
• Fourier transforms
• Laplace transforms
• Linear partial differential equations: Classification of second order PDEs, the principle of superposition, separation of variables.

Mech, Ship, Aero, ISVR only:

• Vector calculus

Civil Engineering only:

• Further Statistics, including use of Minitab

Teaching methods include

• Lectures, summary notes, module blackboard site, problem classes, Minitab labs, on-line tests.

Learning activities include

• Individual study.
• Working through the problem sheets.
• Working through the coursework assignments.

Formative

This is how we’ll give you feedback as you are learning. It is not a formal test or exam.

Weekly exercises / tests and assignments

• Assessment Type: Formative
• Feedback: Each problem sheet will be discussed in the problem class and full solutions will be posted on Blackboard.
• Final Assessment: No
• Group Work: No

Summative

This is how we’ll formally assess what you have learned in this module.

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.

Repeat

An internal repeat is where you take all of your modules again, including any you passed. An external repeat is where you only re-take the modules you failed.