To give the students the knowledge, competencies and skills necessary to support the mathematical procedures encountered in the other modules of this programme.
Learning Outcomes
On successful completion of this module the learner will be able to:
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Learning Outcome Description
LO1
Apply fundamental algebra theory to solve different types of problems, equations and formulae.
LO2
Produce and interpret graphs; analyse various mathematical functions.
LO3
Practice trigonometric functions and graphs and employ trigonometric ratios in various engineering contexts
LO4
Express and solve mathematical problems using a numerical computation environment
Dependencies
Module Recommendations
This is prior learning (or a practical skill) that is recommended before enrolment in this module.
No recommendations listed
Co-requisite Modules
No Co-requisite modules listed
Additional Requisite Information
No Co Requisites listed
Indicative Content
Basic Algebra
• Apply rules of precedence in calculation
• Use calculator
• Apply rules of indices
• Convert units and use prefixes
• Add, subtract, multiply fractions and algebraic expressions
• Factorise algebraic expressions
• Solve simple equations, simultaneous and quadratic equations
• Transpose formulae
• Use log laws and solve log and exponential equations
• Form Partial Fractions
Graphs and Functions
• Plot and note properties of straight line, quadratic, log, exponential and sinusoidal graphs
• Prove laws using linear graphs
• Use and apply graphs in engineering applications.
Trigonometry and Waveforms
• Solve right-angled triangles using Pythagoras’ theorem, trigonometric ratios, inverse trigonometric functions
• Use the sine and cosine rules in the solution of non-right angled triangles
• Use degree and radian measure
• Sketch graphs of waves including amplitude, period, frequency, phase angle
• Waves in electrical/electronic applications
Numerical Computation
Express and solve mathematical and engineering problems in a computational environment. Plot and analyse graphs.
Module Content & Assessment
Assessment Breakdown
%
Continuous Assessment
20.00%
Practical
40.00%
End of Module Formal Examination
40.00%
Assessments
Full Time
Continuous Assessment
Assessment Type
Examination
% of Total Mark
20
Timing
n/a
Learning Outcomes
1,2,3
Non-marked
No
Assessment Description A range of continuous assessments will be carried out throughout the term
No Project
Practical
Assessment Type
Practical/Skills Evaluation
% of Total Mark
40
Timing
n/a
Learning Outcomes
1,2,3,4
Non-marked
No
Assessment Description A range of laboratory exercises and assessments will be carried out throughout the term
End of Module Formal Examination
Assessment Type
Formal Exam
% of Total Mark
40
Timing
End-of-Semester
Learning Outcomes
1,2,3
Non-marked
No
Assessment Description A final exam will be carried out at the end of term
Part Time
Continuous Assessment
Assessment Type
Examination
% of Total Mark
20
Timing
n/a
Learning Outcomes
1,2,3
Non-marked
No
Assessment Description A range of continuous assessments will be carried out throughout the term
No Project
Practical
Assessment Type
Practical/Skills Evaluation
% of Total Mark
40
Timing
n/a
Learning Outcomes
1,2,3,4
Non-marked
No
Assessment Description A range of laboratory exercises and assessments will be carried out throughout the term
End of Module Formal Examination
Assessment Type
Formal Exam
% of Total Mark
40
Timing
End-of-Semester
Learning Outcomes
1,2,3
Non-marked
No
Assessment Description A final exam will be carried out at the end of term
Reassessment Requirement
Repeat examination Reassessment of this module will consist of a repeat examination. It is possible that there will also be a requirement to be reassessed in a coursework element.
Reassessment Description A repeat mechanism will be available in the Autumn in line with the Institute's policy
SETU Carlow Campus reserves the right to alter the nature and timings of assessment