The students will be organized into lectures and be given two lectures a week in order to cover module content items 1 and 2 inclusive. During these lectures the students will be encouraged to be active. They will be given activities to attempt, during the lecture, in order to re-enforce the learning and understanding achieved through the lecturer’s introduction. The students will be then given take home activity sheets in order to be able to continue practicing the techniques.
The students will be allocated a one hour tutor supervised computer laboratory session every week. In this session the students will be guided and supported through a Computer Assisted Learning (CAL) package which will cover module content items 3 The learning here will be self-paced and guided and supported by the tutor. The package will be available for student use outside their scheduled laboratory time.

Module Aim:

This module aims to provide students with a broad and solid foundation in mathematical concepts and techniques that they may encounter in subsequent programme modules.

Learning Outcomes

On successful completion of this module the learner should be able to:

LO1

Carry out calculations involving trigonometric functions using a calculator and solve right angled and non right angled triangles.
Describe and execute the elementary vector operations in two dimensions.

LO2

Execute the elementary Matrix operations and identify the inverse Matrix relationship and use Matrices to implement two dimensional rotations .

LO3

Laboratory work using online software

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

Trigonometry

Converting from degrees to Radians and Radians to degrees.
Understanding and using Trigonometric ratios and their inverses to solve unknown values in a triangle.,
Using Pythagoras’s Theorem in Right angled triangles.
Solve non-right angled triangles using Sine Rule and Cosine Rule.
Finding the area of a triangle.

Vectors

Addition of vectors in two dimensions. Scalar multiplication and scalar product in two and three dimensions.
Using Graphical representations of vectors in two dimensions.
Finding angles between vectors.

Matrices

Identifying the dimensions of a matrix.
Addition of matrices.
Multiplication of matrices.
Transposing a matrix.
Finding the inverses of 2x2 and 3x3 matrices.
Calculating determinants of 2x2 and 3x3 matrices.
Using Cramer's Rule to solve a system of 2 linear equations with 3 unknown variables.

Assessment Breakdown

%

Continuous Assessment

20.00%

Practical

30.00%

End of Module Formal Examination

50.00%

Continuous Assessment

Assessment Type

Assessment Description

Outcome addressed

% of total

Assessment Date

Examination

n/a

1,2

20.00

n/a

No Project

Practical

Assessment Type

Assessment Description

Outcome addressed

% of total

Assessment Date

Practical/Skills Evaluation

n/a

3

30.00

n/a

End of Module Formal Examination

Assessment Type

Assessment Description

Outcome addressed

% of total

Assessment Date

Formal Exam

Final Exam

1,2

50.00

End-of-Semester

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