Module Details |
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
Title | ENGINEERING MATHEMATICS II | ||
Code | MATH299 | ||
Coordinator |
Dr M Domijan Mathematical Sciences Mirela.Domijan@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2017-18 | Level 5 FHEQ | First Semester | 7.5 |
Aims |
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To introduce some advanced Mathematics required by Engineers, Aerospace Engineers, Civil Engineers and Mechanical Engineers. To develop the students ability to use the mathematics presented in the module in solving problems. |
Learning Outcomes |
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A good knowledge of matrices and their use to solve systems of linear equations. |
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An understanding of how to find eigenvalues and eigenvectors. |
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A good knowledge of multi-variable calculus. |
Syllabus |
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1 |
Part 1: Matrices Basic concepts (definition, shapes and sizes), addition, multiplication by scalars and transpose of a matrix Matrix multiplication, systems of linear equations, Gauss elimination, elementary row operations, echelon form Rank of a matrix, general properties of solutions of systems of linear equations, inverse of a matrix Determinants, Cramer''s rule Eigenvalues and eigenvectors
Part 2: Calculus of functions of several variables Partial differentiation, differentials Change of variables, chain rule, implicit differentiation Taylor''s expansion, error estimates. Constrained maxima and minima (Lagrange multipliers) and applications to optimal design Scalar and vector fields; gradient, divergence and curl; tangent planes and directional derivative
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Recommended Texts |
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Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. Explanation of Reading List: |
Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
MATH198*; MATH199* *Either MATH198 or MATH199 is a prerequisite. |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
MATH492 |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
Programme:H100 Year:2 Programme:H101 Year:2 Programme:H200 Year:2 Programme:H202 Year:2 Programme:H220 Year:2 Programme:H300 Year:2 Programme:H301 Year:2 Programme:H3N2 Year:2 Programme:H3NF Year:2 Programme:H401 Year:2 Programme:H402 Year:2 Programme:H421 Year:2 Programme:H425 Year:2 Programme:HJ35 Year:2 Programme:HJ3M Year:2 |
Programme(s) (including Year of Study) to which this module is available on an optional basis: |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Unseen Written Exam | 2 hours | First | 90 | Yes | Standard UoL penalty applies | Assessment 2 Notes (applying to all assessments) Assessment 1: Five problem sets, distributed on a fortnightly basis throughout semester. This work is not marked anonymously. Assessment 2: Full marks will be awarded for complete answers to all questions. |
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Coursework | 5 problem sheets, ap | First | 10 | No reassessment opportunity | Standard UoL penalty applies | Fortnightly problem sheets There is no reassessment opportunity, Exemption granted |