Download CONVENANT UNIVERSITY COURSE COMPACT 2014/2015

CONVENANT UNIVERSITY
COURSE COMPACT
2014/2015 Academic session
COLLEGE:
College of Science and Technology
DEPARTMENT:
Mathematics
PROGRAMME:
Industrial Mathematics
COURSE CODE:
MAT 315
COURSE TITLE:
Probability Distributions
UNITS:
2
COURSE LECTURER: Oguntunde, P.E./ Okagbue, H.I.
SEMESTER:
Alpha
TIME:
Monday 8-10 am
LOCATION:
C S T Hall 306
A. BRIEF OVER VIEW: Probability distributions are taught to equip the student with a wild range
of tools for analyzing continuous and discrete random variables. Their properties such as
Expectation, Variance and Standard deviation. Moments and Central Limit Theorem will also
enable the students to appreciate how these distributions behave.
B. COURSE OBJECTIVES/GOALS
At the end of the course work, the students should be able to
i. Find the probability distribution for discrete and continuous variables
ii. Obtain some of their descriptive parameters
iii. Use moment generating function method to derive both mean and variance of all the
distributions
iv. Represent them graphically and in tabular form
v. Apply it where applicable
C. METHODS OF LECTURE DELIVERY
The lecture/Teaching/learning Method: with active student participation
White Board, lecture notes and Textbook
D. COURSE OUTLINES
MODULE 1: PROBABILITY DISTRIBUTIONS;
Week 1:
Basic definitions and concepts.
Weeks 2&3: Discrete probability distributions and their characteristics
Weeks 4&5: Continuous probability distributions and their characteristics
MODULE 2: GENERATING FUNCTIONS;
Weeks6&7: Moments and Moment generating functions of random
Variables
Weeks 8&9: Sums of independent random variables, The Central Limit
Theorem
MODULE 3: BIVARIATE DISTRIBUTIONS;
Weeks 10&11: Discrete and Continuous Bivariate distributions.
E. TUTORIALS
Tutorials will be given at the completion of the course work
F. Structure of the Programme/Method of Grading
Continuous assessment
Test 1 & 2
20marks
Assignments and Attendance
10marks
Examination
70marks
G. Ground rules & regulations
Students are to maintain high level of discipline in the following areas
-punctuality
-modest dressing
-quietness
H. Assignments
Students will be given Assignments at the end of each lecture
I. Alignment with Covenant University Vision/Goals
Prayers at the commencement of lectures
Students are encouraged to be responsible, like studying to excel,
Praying to God for understanding, etc
J. Recommended Reading/Text
1. Statistical Methods. By Freund Nelson
2. Probability and Statistics. W Mendenhall, R.J Beaver and B.M Beaver
3. Probability and Statistics. M.R Spiegel
4. A Course in Probability Theory. Kai Lai Chung
K. Contemporary issues/Industry Relevance
The course is relevant in production industries, for statisticians, data analysis, presentation
and interpretations.