# MATH06100 2019 Mathematics 2

### General Details

Full Title
Mathematics 2
Transcript Title
Mathematics 2
Code
MATH06100
Attendance
N/A %
Subject Area
MATH - Mathematics
Department
MECT - Mechatronics
Level
06 - NFQ Level 6
Credit
05 - 05 Credits
Duration
Stage
Fee
Start Term
2019 - Full Academic Year 2019-20
End Term
9999 - The End of Time
Author(s)
Kevin Collins, Leo Creedon, Fergal Gallagher, Caroline Mullan, Declan Sheridan
Programme Membership
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_EELCO_C06 201900 Higher Certificate in Engineering in Electronic and Computing SG_EMSYS_B07 201900 Bachelor of Engineering in Mechatronic Systems SG_EELCO_B07 202200 Bachelor of Engineering in Electronic and Computing
Description

Develop skills in calculus with further differentiation techniques.

Introduction to integration, and integration techniques including substitution rule, integration by partial fractions, and integration by part.

Factor and remainder theorems.

Complex numbers are important in many engineering applications.

First order differential equations.

### Learning Outcomes

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

1.

Apply differentiation techniques for example, logarithmic, parametric, implicit, and partial differentiation .

2.

Introduce complex numbers, graphing, Cartesian, polar forms, addition, subtraction, multiplication and division of complex numbers, deMoivre's theorem.

3.

Introduction to integration, standard integrals, substitution rule, integration by parts.

4.

Integration using partial fractions.

5.

Solve first order differential equations using seperation of variables

6.

Factor & Remainder theorems.

### Teaching and Learning Strategies

This module will be taught year long with a mixture of theory classes and weekly tutorials where the students work in groups solving exercises based on the previous weeks class.

### Module Assessment Strategies

Tutorials each week, plus a final exam.

### Repeat Assessments

Students may have to repeat tutorials, final exam or both. Repeat tutorials will be dine using Moodle,

### Indicative Syllabus

1. Review differentiation using using product, quotient and chain rules applied to various problem
2. Differentiation of parametric 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. Complex numbers, what are they, graphs, Cartesian and polar forms, arithmetic using complex numbers. DeMoivre's theorem.
5. 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.
6. First order differential equations solved by direct integration and by separation of variables methods.
7. Factor and Remainder theorems.

### 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 Weekly tutorial. Coursework Assessment Open Book Exam 30 % OnGoing 1,2,3,4,5,6

### 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

Type Location Description Hours Frequency Avg Workload
Lecture Flat Classroom Theory 2 Weekly 2.00
Tutorial Flat Classroom Tutorial 1 Weekly 1.00
Independent Learning UNKNOWN Review of course work 6 Weekly 6.00
Total Full Time Average Weekly Learner Contact Time 3.00 Hours

### Required & Recommended Book List 2015-06 Fundamentals of Engineering Mathematics (Ice Textbook Series) ICE Publishing
ISBN 0727758411 ISBN-13 9780727758415

The purpose of this book is to bridge the gap between the level of mathematical engineering knowledge students have following their A-levels and the level of information a first year student will need in their undergraduate mechanics course.

### Module Resources

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

N/A

URL Resources

N/A

Other Resources