# MATH06097 2019 Mathematics 201

### General Details

Full Title
Mathematics 201
Transcript Title
Mathematics 201
Code
MATH06097
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, Fergal Gallagher
Programme Membership
SG_ECVIL_B07 201900 Bachelor of Engineering in Engineering in Civil 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_ECVIL_B07 202000 Bachelor of Engineering in Engineering in Civil Engineering
Description

Use differentiation and integration techniques, perform calculations using complex numbers.

### Learning Outcomes

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

1.

Use the remainder theorem and the factor theorem

2.

Find partial fractions

3.

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

4.

Solve optimisation, area and volume problems using calculus

5.

Apply De Moivre’s Theorem to find the powers of complex numbers

### Indicative Syllabus

1. Remainder Theorem and Factor Theorem
2. Partial Fractions
3. Applications of differentiation to engineering problems
4. Parametric and implicit differentiation
5. Partial differentiation of functions such as z =f(x,y,w)
6. Integration by substitution, partial fractions, and integration by parts
7. Finding areas and volumes using integration
8. Algebra and geometry of complex numbers including De Moivre’s Theorem.

### 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 Year 1,2,3,4,5

Type Location Description Hours Frequency Avg Workload
Lecture Flat Classroom Theory 5 Weekly 5.00
Tutorial Not Specified Tutorial 1 Weekly 1.00
Independent Learning UNKNOWN Review of Course Material 3 Weekly 3.00
Total Full Time Average Weekly Learner Contact Time 6.00 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