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 | MATHEMATICS II FOR ELECTRICAL ENGINEERS | ||
Code | MATH192 | ||
Coordinator |
Prof A Vogt Mathematical Sciences Andreas.Vogt@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2016-17 | Level 4 FHEQ | Second Semester | 15 |
Aims |
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1. To provide a detailed introduction to techniques (change of variable, integration by parts and partial fractions) for and applications of one-dimensional integrals.
2. To introduce partial derivatives of functions of two variables and their applications, e.g., for linear approximations.
3. To comprehensively introduce matrices, determinants and several techniques for solving systems of linear equations; to introduce eigenvalues and eigenvectors for 2x2 matrices.
4. To briefly revise or introduce the scalar and cross products of vectors and their basic applications.
5. To give a comprehensive introduction to first-order ordinary differential equations (ODEs), including systems of two ODEs with constant coefficients, and second-order ODEs with constant coefficients.
6. To introduce, time permitting, the Fourier expansion of periodic functions. |
Learning Outcomes |
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Learning outcomes After completing the module students should be able to * evaluate a range of one-dimensional integrals using standard techniques * calculate partial derivatives and find the tangent plane to a surface * invert 3x3 matrices and solve systems of linear equations * solve basic (systems of) ODEs relevant to electrical engineering
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Syllabus |
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1 |
Methods and applications of integration: 8 lectures
Partial differentiation and applications: 3 lectures Matrices, determinants, linear equations: 8 lectures Products and applications of vectors: 3 lectures Basic ordinary differential equations: 8 lectures Fourier expansion of periodic functions: 3 lectures Tutorials, class test, exam revision: 15 hours |
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): |
MATH191 |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
Programme(s) (including Year of Study) to which this module is available on an optional basis: |
Programme:H602 Year:1 Programme:H603 Year:1 Programme:H604 Year:1 Programme:H606 Year:1 Programme:H646 Year:1 Programme:H670 Year:1 Programme:H610 Year:1 Programme:H612 Year:1 Programme:H620 Year:1 Programme:H621 Year:1 Programme:H645 Year:1 Programme:H651 Year:1 Programme:H675 Year:1 Programme:H673 Year:1 Programme:GHK6 Year:1 Programme:HH66 Year:1 Programme:HGP4 Year:1 Programme:HG64 Year:1 |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Written Exam | 3 hours | Second semester | 80 | Standard University Policy | Assessment 2 Notes (applying to all assessments) 15% homework, 5% class test Answer all of Section A and THREE questions from Section B. The total of marks available in Section A is 55. | |
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Coursework | Second semester | 20 | None: exemption approved November 2007 | University policy. | Assessment 1 |