Module Title: Mathematics 1 English
 Credits: 5
 NFQ Level: 6
Module Delivered In 2 programme(s)
Teaching & Learning Strategies: *A series of lectures will be delivered using whiteboard and data projector. *The Institute Managed Learning Environment will be used to interactively communicate with students e.g. on-line test, discussion forums, reference information. *Mathematical software (e.g. Matlab) will be used by students to re-enforce the mathematical principles and practices
Module Aim: To give the students the understanding, 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 Perform simple engineering calculations, with the aid of a calculator if necessary, and express the results in various formats.
LO2 Manipulate algebraic expressions and transpose formulae, including those containing logarithms.
LO3 Solve linear, quadratic and logarithmic equations
LO4 Plot and interpret graphs of basic functions
LO5 Use trigonometric ratios to solve triangles
LO6 Plot and interpret the graphs of sinusoidal functions
LO7 Apply basic theorems in geometry in solving problems involving triangles, parallelograms, quadrilaterals and circles
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
Numerical Calculation
*Rules of precedence *D.A.L calculator *Rules of indices *Exponential format *Units and prefixes *LCM and the HCF of whole numbers *Unitary method problems *Percentages *Average of a set of numbers *Conversion between number systems
Basic Algebra
*Addition, subtraction and multiplication of algebraic expressions *Factorisation of algebraic expressions *Solution of simple equations, simultaneous and quadratic equations *Transposition of formulae *Transposition of formulae to solve mensuration problems *Log laws and log equations.
Graphs
*Interpretation of plotted graphs *Properties of straight line and quadratic graphs *Cubic graphs *Plotting graphs of the form
Trigonometry and Waveforms
*Surd form for the trigonometric ratios sine, tangent and cosine for angles 60, 30 and 45 degrees *Right angled triangles, Pythagorasâ€™ theorem, trigonometric ratios sine, tangent and cosine and the inverse trigonometric functions sin-1x, tan-1x and cos-1x *Degree and radian measure *Sine and cosine rules in the solution of non-right angled triangles *Trigonometric ratios secant, cosecant and cotangent *Verification of trigonometric identities involving all six trigonometric ratios, compound angle formulae and sums and products of sines and cosines *Graphs of waves, wave theory and its applications to electrical principles *Rewriting of addition of sine and cosine functions as cosine functions and applications of this in electrical principles and mechanics
Geometry
*Supplementary, complementary, opposite, corresponding and alternate angles *Equilateral, equiangular, isosceles and scalene triangles; *Basic geometry theorems related to angles of triangles, isosceles triangles, congruent triangles, quadrilaterals, parallelograms and angles with circles.
Assessment Breakdown%
Continuous Assessment30.00%
End of Module Formal Examination70.00%
Continuous Assessment
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Examination First continuous assessment exam 1 10.00 Week 3
Examination Second continuous assessment exam 1,2 10.00 Week 14
Case Studies Third continuous assessment exam 1,2,3,4,5,6,7 10.00 Week 26
 No Project
 No Practical
End of Module Formal Examination
Assessment Type Assessment Description Outcome addressed % of total Assessment Date
Formal Exam Each student will sit a written examination at the end of the module 1,2,3,4,5,6,7 70.00 End-of-Semester

ITCarlow reserves the right to alter the nature and timings of assessment