Full Title Mathematics and Statistics

Short Title Mathematics and Statistics

Code MATH07017
 Level 07
 Credit 05

Author Curran, Paul
Department Mech. and Electronic Eng.

Subject Area Mathematics
Attendence N/A%

Description

Apply statistical and probability techniques to present and analyse data.  The student will be able to use trigonometry,differentiation and Integration to solve optimisation problems.

Indicative Syllabus
1. Functions, rectangular coordinates, and equation of straight line
2. Rules of indices, logarithms, base 10 and e, solution of logarithmic equations, exponential functions, growth and decay curves, half-life problems
3. Solve quadratic equations and  transformation of formulae
4. Trigonometry: Solution of right angled and non-right angled triangles, trigonometric identities, graph of trig functions
5. Calculus: Differentiation of a wide range of polynomial and trigonometric functions. Product, quotient and chain rule. Maxima and Minima, rates of change, and partial differentiation
6. Organisation of raw data into classes, class boundaries and class intervals. Frequencies and relative frequencies, histograms. Measurement of central tendency-mean, median, mode. Cumulative frequency curve, quartiles, interquartile range. Dispersion- range, variance and standard deviation
7. Probability Laws - independent and dependent events, addition and multiplication laws.
8. Normal distribution curve, standard normal curve, and area under the standard normal curve.
9. Binomial and Poisson distributions

Learning Outcomes
On completion of this module the learner will/should be able to
1. Perform calculations effectively using both approximations and scientific notation

2. Transpose and solve algebraic, exponential and trigonometric equations using the logs and algebraic techniques

3. Interpret graphs drawn from functions and data sets and use techniques such as regression analysis to determine unknown quantities

4. Evaluate the area under a curve using  Simpsons rule

5. Apply calculus techniques to find maximum and minimum value and % errors

6. Compute the mean, median, mode, standard deviation and variance  of data

7. Calculate the probability of simple events and the probability associated with binomial, Poisson, and normal distributions

Assessment Strategies

The student will be assessed using a combination of continuous assessment methods and a written terminal examination. The continuous assessment will consist of both formative and summative assessments using the Moodle quiz facility. The student will complete a number of desk based exercise which must be submitted electronically.

Assessment Facilitites

Assignments will be carried out using the Moodle V.L.E.

Module Dependencies
Pre Requisite Modules
Co Requisite Modules
Incompatible Modules

Coursework Assessment Breakdown %
Course Work / Continuous Assessment 20 %
End of Semester / Year Formal Examination 80 %

Coursework Assessment Breakdown

Description Outcome Assessed % of Total Assessment Week
Continuous Assessment Assignments 1,2,3,4,5,6,7 20 OnGoing

End Exam Assessment Breakdown

Description Outcome Assessed % of Total Assessment Week
Final Exam Written Examination 1,2,3,4,5,6,7 80 End of Term

Type Location Description Hours Frequency Avg Weekly Workload
Lecture Not Specified Theory 4 Weekly 4.00
Independent Learning UNKNOWN Review Course Work 4 Weekly 4.00

Total Average Weekly Learner Workload 4.00 Hours

Type Location Description Hours Frequency Avg Weekly Workload
Lecture Distance Learning Suite Theory 2 Weekly 2.00
Tutorial Distance Learning Suite Practical 2 Weekly 2.00
Independent Learning UNKNOWN Review Course Work 4 Weekly 4.00

Total Average Weekly Learner Workload 4.00 Hours

Type Location Description Hours Frequency Avg Weekly Workload

Total Average Weekly Learner Workload 0.00 Hours

Type Location Description Hours Frequency Avg Weekly Workload

Total Average Weekly Learner Workload 0.00 Hours

Resources
Book Resources

Other Resources