# MATH06065 2012 Mathematics 102

### General Details

Full Title
Mathematics 102
Transcript Title
Mathematics 102
Code
MATH06065
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
2012 - Full Academic Year 2012-13
End Term
9999 - The End of Time
Author(s)
Leo Creedon
Programme Membership
SG_EENVI_B07 201300 Bachelor of Engineering in Environmental Engineering *** Copy *** SG_ECIVI_C06 201200 Higher Certificate in Engineering in Engineering in Civil Engineering SG_ECVIL_B07 201400 Bachelor of Engineering in Engineering in Civil Engineering SG_EENVI_B07 201400 Bachelor of Engineering in Environmental Engineering SG_EENVE_B07 201400 Bachelor of Engineering in Environmental Engineering
Description

Introduction to linear algebra and calculus

### 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.

### Indicative Syllabus

1.      Addition and subtraction of vectors and scalar multiples of vectors. Lengths and unit vectors of a vector.

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 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.

### 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 UNKNOWN 20 % OnGoing 1,2,3

### End of Semester / Year Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Final Exam Final Exam UNKNOWN 80 % End of Term 1,2,3

Type Location Description Hours Frequency Avg Workload
Lecture Flat Classroom Lecture 2 Weekly 2.00
Tutorial Flat Classroom Tutorial 1 Weekly 1.00
Independent Learning UNKNOWN Study 4 Weekly 4.00
Total Full Time Average Weekly Learner Contact Time 3.00 Hours

### Module Resources

Non ISBN Literary Resources

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

Other Resources

None