# MATH06058 2012 Mathematics 201

### General Details

Full Title
Mathematics 201
Transcript Title
Mathematics 201
Code
MATH06058
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)
Grace Corcoran
Programme Membership
SG_EMECH_B07 201300 Bachelor of Engineering in Engineering in Mechatronics 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

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 trignometric functions

2.

Solve first order differential equations using seperation of variables

3.

Solve optimisation, area and volume problems using calculus

4.

Apply probability rules to calculate the probability of events

5.

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

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 product ,quotient and chain rules applied to various functions
2. Applications of differentiation to engineering problems of velocity, acceleration, maximum, minimum and points of inflection. Differentiation of parametric and implicit functions. Apply logarithmic differentiationFinding tangents and normals to explicit and implicit functions.
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 fnctions. Use trigonometric substitution to integrate problems of the type sin2x,sin3x etc
7. First order differential equations: separation of the variables.
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 Multiple Choice Formative UNKNOWN - % OnGoing 1,2,3,4,5,6,7
2 Continuous Assessment Assessment Continuous Assessment UNKNOWN 15 % OnGoing 1,2,3,4,5,6,7
3 Continuous Assessment Continuous Assessment Continuous Assessment UNKNOWN 15 % Week 6 1,2,5

### End of Semester / Year Assessment

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

Type Location Description Hours Frequency Avg Workload
Lecture Flat Classroom Theory 3 Weekly 3.00
Tutorial Computer Laboratory Tutorial 3 Weekly 3.00
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
 Authors Title Publishers Year K.A.Stroud Engineering Mathematics Palgrave and Macmillan 2013
Other Resources