Module Title: Mathematics and Computer Applications 2 English
 Credits: 5
 NFQ Level: 6
Module Delivered In 3 programme(s)
Teaching & Learning Strategies: This module will be delivered using a mixture of lectures and tutorials. The Institute Managed Learning Environment will be used to interactively communicate with students e.g. tutorial sheets, on-line tests, discussion forums, reference information.
Module Aim: 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 should be able to:
LO1 Solve problems using complex numbers and apply De Moivre’s theorem.
LO2 Apply appropriate rules and methods to differentiate various functions and solve calculus problems
LO3 Express and solve mathematical problems using a numerical computation environment
Pre-requisite learning
Module Recommendations

This is prior learning (or a practical skill) that is recommended before enrolment in this module.

No recommendations listed
Incompatible Modules
These are modules which have learning outcomes that are too similar to the learning outcomes of this module.
No incompatible modules listed
Co-requisite Modules
No Co-requisite modules listed
Requirements
This is prior learning (or a practical skill) that is mandatory before enrolment in this module is allowed.
No requirements listed

## Module Content & Assessment

Indicative Content
Complex Numbers
• Represent complex numbers in Cartesian and polar form Convert from one form to the other Understand phasors Add, subtract, multiply and divide complex numbers in Cartesian form Multiply and divide complex numbers in polar Use De Moivre’s Theorem for powers and roots of complex numbers
Differential Calculus
Evaluate simple limits Differentiate simple polynomial functions from first principles Differentiate by rule algebraic, trigonometric, exponential and logarithmic functions using chain, product and quotient rules Apply the derivative as a rate of change and as the slope of the tangent to a curve
Numerical Computation
Express and solve mathematical and engineering problems in a computational environment. Plot and analyse graphs.
Assessment Breakdown%
Continuous Assessment20.00%
Practical40.00%
End of Module Formal Examination40.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Examination A range of continuous assessments will be carried out throughout the term 1,2 20.00 n/a
 No Project
Practical
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Practical/Skills Evaluation A range of laboratory exercises and assessments will be carried out throughout the term 3 40.00 n/a
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam A final exam will be carried out at the end of term 1,2,3 40.00 End-of-Semester
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Examination A range of continuous assessments will be carried out throughout the term   20.00 n/a
 No Project
Practical
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Practical/Skills Evaluation A range of laboratory exercises and assessments will be carried out throughout the term 3 40.00 n/a
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam A final exam will be carried out at the end of term   40.00 End-of-Semester

SETU Carlow Campus reserves the right to alter the nature and timings of assessment