# MATH06096 2019 Mathematics 102

### General Details

Full Title
Mathematics 102
Transcript Title
Mathematics 102
Code
MATH06096
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
CENG - Civil Eng. and Construction
Level
06 - NFQ Level 6
Credit
05 - 05 Credits
Duration
Semester
Fee
Start Term
2019 - Full Academic Year 2019-20
End Term
9999 - The End of Time
Author(s)
Leo Creedon, Caroline Mullan, Fergal Gallagher
Programme Membership
SG_ECVIL_B07 201900 Bachelor of Engineering in Engineering in Civil Engineering SG_EELCO_B07 201900 Bachelor of Engineering in Engineering in Electronic and Computing SG_EMECL_B07 201900 Bachelor of Engineering in Mechanical Engineering SG_EPREC_B07 201900 Bachelor of Engineering in Precision Engineering and Design SG_EMECL_C06 201900 Higher Certificate in Engineering in Mechanical Engineering SG_EMTRN_B07 201900 Bachelor of Engineering in Mechatronic Engineering SG_EMTRN_C06 201900 Higher Certificate in Engineering in Mechatronic Engineering SG_ECVIL_B07 201900 Bachelor of Engineering in Engineering in Civil Engineering SG_ECIVI_C06 201900 Higher Certificate in Engineering in Civil Engineering SG_EELCO_C06 201900 Higher Certificate in Engineering in Engineering in Electronic and Computing SG_ECVIL_B07 202000 Bachelor of Engineering in Engineering in Civil Engineering
Description

Introduction to linear algebra, calculus, statistics and probability

### Learning Outcomes

On completion of this module the learner will/should be able to;

1.

Add and subtract vectors and find the scalar multiple of a vector. Calculate the length and unit vector of a vector.

2.

Add, subtract and multiply matrices. Find the scalar multiple of a matrix. Become familiar with the Zero and Identity matrix and their properties. Invert 2x2 matrices. Solve a system of linear equations with matrices.

3.

Differentiate polynomial, trigonometric, exponential and logarithmic functions. Differentiate using first principles. Differentiate using the product, quotient and chain rules. Calculate the equation of a tangent to a curve.  Find the maxima and minima of a function. Calculate rates of change. Calculate velocities and accelerations.

4.

Calculate the mean, median, mode, standard deviation, range and variance of data. Plot a cumulative frequency polygon

5.

Use the normal distribution to calculate the probability of events

### Indicative Syllabus

1. Addition and subtraction of vectors and scalar multiples of vectors. Length and unit vector of a vector. The scalar product and its applications.

2. Addition, subtraction and multiplication of matrices. Scalar multiples of a matrix. The Zero and Identity matrix and their properties. Inversion of 2x2 matrices. Solution of a system of linear equations with matrices.

3. Differentiation of polynomial, trigonometric, exponential and logarithmic functions. Differentiation using first principles. Differentiation using the product, quotient and chain rules. Equation of a tangent to a curve. Maxima and minima of a function. Rates of change, velocity and acceleration as derivatives.

4. Mean, mode, median, range, interquartile range, standard deviation, and variance of data. Cumulative frequency.

### Coursework & Assessment Breakdown

Coursework & Continuous Assessment
20 %
End of Semester / Year Formal Exam
80 %

### Coursework Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Continuous Assessment Continuous Assessment Assessment 20 % OnGoing 1,2,3,4,5

### End of Semester / Year Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Final Exam Final Exam Closed Book Exam 80 % End of Term 1,2,3,4,5

Type Location Description Hours Frequency Avg Workload
Lecture Flat Classroom Lecture 3 Weekly 3.00
Tutorial Flat Classroom Tutorial 1 Weekly 1.00
Independent Learning UNKNOWN Study 4 Weekly 4.00
Total Full Time Average Weekly Learner Contact Time 4.00 Hours

### Module Resources

Non ISBN Literary Resources

K.A. Stroud: "Engineering Mathematics", any edition

Bird, J., (2007). Engineering Mathematics. Any Edition. Routledge.

Other Resources

www.mathcentre.ac.uk