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 | ||
Code | MATH198 | ||
Coordinator |
Prof SM Rees Mathematical Sciences Maryrees@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2016-17 | Level 4 FHEQ | Whole Session | 22.5 |
Aims |
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To provide a basic level of mathematicsincluding calculus and extend the student''s knowledge to include an elementaryintroduction to complex variables and functions of two variables. |
Learning Outcomes |
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• differentiate using the chain, product and quotient rules;
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sketch the graphs of elementary and rational functions; |
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integrate using list integrals, substitution and integration by parts with applications to simple geometrical problems; |
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understand the basic properties of three dimensional vectors and apply them to elementary geometrical problems; |
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understand the algebra of complex numbers in Cartesian and polar forms and their application to multiplication, division and roots. |
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solve elementary first and second order differential equations with and without initial conditions and make simple mechanical applications; |
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evaluate simple Laplace transforms and their inverses using tables with application to initial value problems; |
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understand the graphical representation of functions of two variables; |
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find partial derivatives and use to locate and classify the stationary points of a function of two variables |
Syllabus |
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1 |
Topic 1 Differential Calculus and Applications Topic 2 Vector Algebra Topic 3 Integration and Applications Topic 4 Complex numbers and Differential Equations Topic 5 Laplace Transform and Applications Topic 6 Functions of Two Variables Revision sessions |
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): |
*MATH199 is an alternative prerequisite for MATH299 |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
MATH299* |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
Programme:HJ41 Year:1 Programme:J510 Year:1 Programme:J200 Year:1 Programme:HJ35 Year:1 Programme:BF92 Year:1 Programme:F2N2 Year:1 Programme:H652 Year:1 Programme:H650 Year:1 Programme:H200 Year:1 Programme:H220 Year:1 Programme:H221 Year:1 Programme:HK23 Year:1 Programme:HJ26 Year:1 Programme:H400 Year:1 Programme:H401 Year:1 Programme:H402 Year:1 Programme:H421 Year:1 Programme:H425 Year:1 Programme:H300 Year:1 Programme:H301 Year:1 Programme:H310 Year:1 Programme:H3N2 Year:1 Programme:H3NF Year:1 Programme:HH37 Year:1 Programme:HH73 Year:1 Programme:H100 Year:1 Programme:H101 Year:1 Programme:H102 Year:1 Programme:H1N2 Year:1 Programme:H1NF Year:1 Programme:H1NG Year:1 Programme:J500 Year:1 Programme:F200 Year:1 |
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 |
Written Exam | 3 hours | Second semester | 80 | Yes | Standard UoL penalty applies | Written Exam Notes (applying to all assessments) Class tests 10% and homework 10% there will be 2 class tests (1 per semester) Written exam. Full marks will be awarded for correctly answering all questions. |
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Coursework | First and Second semester | 20 | None: exemption approved November 2007 | Standard UoL penalty applies | Coursework |