# MATH06059 2013 Mathematics 2

### General Details

Full Title
Mathematics 2
Transcript Title
Mathematics
Code
MATH06059
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
MENG - Mech. and Electronic Eng.
Level
06 - NFQ Level 6
Credit
05 - 05 Credits
Duration
Stage
Fee
Start Term
2013 - Full Academic Year 2013-14
End Term
9999 - The End of Time
Author(s)
Grace Corcoran
Programme Membership
SG_EMECL_B07 201300 Bachelor of Engineering in Mechanical Engineering SG_EELEC_C06 201500 Higher Certificate in Engineering in Engineering in Electronics SG_EMTRN_C06 201500 Higher Certificate in Engineering in Mechatronics SG_EMECL_C06 201500 Higher Certificate in Engineering in Mechanical Engineering SG_EMECH_B07 201300 Bachelor of Engineering in Mechanical Engineering SG_EMECL_B07 201600 Bachelor of Engineering in Mechanical Engineering SG_EMANU_B07 201700 Bachelor of Engineering in Engineering SG_ETRON_B07 201600 Bachelor of Engineering in Electronic Engineering SG_EMECH_B07 201700 Bachelor of Engineering in Engineering Mechatronics Systems Engineering SG_EELCO_B07 201700 Bachelor of Engineering in Electronic and Computer Engineering SG_EELCO_C06 201700 Higher Certificate in Engineering in Engineering in Electronic and Computer Engineering SG_EMTRN_C06 201500 Higher Certificate in Engineering in Mechatronics SG_EELCO_C06 201800 Higher Certificate in Engineering in Electronic and Computer Engineering SG_EELCO_B07 201800 Bachelor of Engineering in Electronic and Computer Engineering SG_EMECH_C06 201900 Higher Certificate in Engineering in Engineering in Mechatronics
Description

﻿Use differentiation and integration techniques and apply calculus and probability rules to various data and events

### Learning Outcomes

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

1.

Apply differentiation and integration techniques to algebraic, exponential, logarithmic, trignometric and inverse trig functions

2.

Solve optimisation, area and volume problems using calculus

3.

Calculate the mean, median, mode, standard deviation and variance of data

4.

Apply probability rules to calculate the probability of events

5.

Solve first order differential equations using seperation of variables

6.

Use the standard normal distribution to calculate the probability of events

7.

Solve a set of 3x3 simultaneous equations by a matrix method

### Indicative Syllabus

1. Review differentiation using using product, quotient and chain rules applied to various problem
2. Applications of differentiation to engineering problems of velocity, acceleration, maximum, minimum and points of inflection. Differentiation of parametric and implicit functions. Finding tangent and normal to explicit and implicit functions. Use of logarithmic differentiation
3. Partial differentiation of functions such as z =f(x,y,w) and its application in finding small incremental changes and rate of change problems.
4. Compute the mean, median, mode, standard deviation and variance of data
5. Calculate the probability of simple events and the probability associated with binomial and normal distributions
6. Integration of xn ,sin(f(x)), cos(f(x)),ef(x) ,ln(f(x)). Use methods of substitution, partial fractions, and integration by parts to integrate further functions. Use trigonometric substitution to integrate problems of the type sin2x ,sin3x etc
7. First order differential equations: separation of variables method.
8. Properties of m X n matrices and the addition, subtraction, multiplication and scalar multiples of these matrices. Inverses of 3 X 3 matrices, solution of systems of equations and applications.

### Coursework & Assessment Breakdown

Coursework & Continuous Assessment
30 %
End of Semester / Year Formal Exam
70 %

### Coursework Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Continuous Assessment Continuous Assessment UNKNOWN 15 % Week 12 1,2,4
2 Continuous Assessment Continuous Assessment UNKNOWN 15 % OnGoing 3,4,6,7
3 Continuous Assessment Formative Formative UNKNOWN - % OnGoing 1,2,3,4,5,6,7

### End of Semester / Year Assessment

Title Type Form Percent Week Learning Outcomes Assessed
1 Final Exam Final Exam UNKNOWN 70 % End of Term 1,2,3,4,5,6,7

Type Location Description Hours Frequency Avg Workload
Lecture Flat Classroom Theory 4 Weekly 4.00
Tutorial Computer Laboratory Tutorial 2 Weekly 2.00
Independent Learning UNKNOWN Review of course work 6 Weekly 6.00
Total Full Time Average Weekly Learner Contact Time 6.00 Hours

### Module Resources

Non ISBN Literary Resources
 Authors Title Publishers Year K.A.Stroud Engineering Mathematics Palgrave and Macmillan 2013
Other Resources