Module Title:  Mathematics 1 
Language of Instruction:  English 
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. online test, discussion forums, reference information.
*Mathematical software (e.g. Matlab) will be used by students to reenforce 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 
Prerequisite 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 
Corequisite Modules

No Corequisite 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 sin1x, tan1x and cos1x
*Degree and radian measure
*Sine and cosine rules in the solution of nonright 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 Assessment  30.00% 
End of Module Formal Examination  70.00% 
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 
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 
EndofSemester 
ITCarlow reserves the right to alter the nature and timings of assessment
Module Workload
Workload: Full Time 
Workload Type 
Frequency 
Average Weekly Learner Workload 
Lecture 
Every Week 
1.00 
Tutorial 
Every Week 
1.00 
Independent Learning 
Every Week 
3.00 
Total Hours 
5.00 
Module Delivered In
