Module Title  LI Engineering Mathematics 2 
School  School of Engineering 
Department  Mechanical Engineering 
Module Code  04 30333 
Module Lead  TBC 
Level  Intermediate Level 
Credits  20 
Semester  Semester 1 
Prerequisites 

Corequisites 
LC Engineering Mathematics 1  (04 30331)

Restrictions  None 
Contact Hours 
Lecture33 hours
Tutorial22 hours
Practical Classes and workshops11 hours
Guided independent study134 hours
Total: 200 hours

Exclusions  
Description  In this module mathematical techniques required by the second year Electronic and Electrical Engineering, Mechanical Engineering and Civil Engineering programmes are covered.
Syllabus
Integral transforms
Fourier series
Fourier transforms
Laplace transfroms
Multivariable calculus
Partial differentiation and the gradient
Line integrals
Surface and volume integrals
Divergence and Curl
Linear Algebra
Introduction to real and complex vector spaces
Vector representation of documents and text retrieval
Linear dependence, orthonormal bases, the GramSchmidt process
Linear transformations and matrices, vector subspaces, subspace projections
Eigenvector decomposition, covariance and Principal Components Analysis (PCA)
Metric spaces and clustering
The Discrete Fourier Transform
Probablility and statistics
Probability
Probability distributions and random variables
Hypothesis testing
Handling experimental data and experimental uncertainty
Statistical decision making
Markov processes

Learning Outcomes  By the end of the module students should be able to: 
Students should be able to solve mathematical problems involving, integral transforms, vector calculus, linear algebra and probability and statistics

Demonstrate an understanding of the application of integral transforms, vector calculus, linear algebra and probability and statistics to the solution of engineering problems.

Evaluate uncertainty and probability arising from experimental data

Assessment 
3033301 : Exam : Exam (Centrally Timetabled)  Written Unseen (40%)
3033302 : Engineering Mathematics 2 Timed online Assessment : Coursework (50%)
3033303 : Engineering Mathematics 2 Matlab : Coursework (10%)

Assessment Methods & Exceptions  Assessments:
(10%) Timed continuous assessment
(10%) Matlab based coursework assignment
(40%) End of module timed online assessment
(40%) 2hour Closed book centrally timetabled exam in January assessment period (replaced by online assessment if closed book exam not possible)
Supplementary/Reassessment:
Reassessment to match the main assessment method with due consideration made to any restrictions imposed at the time of reassessment. Students can carry forward passed assessment components from main assessment. 
Other  Duplicate of Birminghambased module 29650 
Reading List 
