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
             
             

Full Time Mode Workload


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

www.khanacademy.org

IT Sligo Maths Support Centre