Download engineering mathematics ii (eqt 102)

UNIVERSITI MALAYSIA PERLIS
Institut Matematik Kejuruteraan
Course Schedule for Probability and Statistics: EQT 272
(Academic Session I, 2011/2012)
Subject and Code
:
Probability and Statistics/ EQT 272
Total Lecture Hours
:
3 Hours (lecture) x 14 weeks
1 Hours (tutorial) x 14 weeks
Synopsis
:
This course provides an elementary introduction to probability and statistics
with applications. Topics include probability theorem, random variables,
probability distribution, statistical inference which is including estimation and
hypothesis testing and finally the regression concept.
Course Outcomes
:
At the end of this course the student should be able to:
1: Ability to apply the theory of probability and solve discrete and
continuous random variables.
2: Ability to understand and apply the concepts of probability distribution.
3: Ability to apply hypothesis testing and simple linear regression model to
solve engineering problems.
Week
Week 1
20 – 24/2/12
Week 2
27/2 – 2/3/12
Week 3
5 – 9/3/12
Week 4
12 – 16/3/12
Week 5
19 – 23/3/12
Week 6
26 – 30/3/12
Topic
Activities
CHAPTER 1: Probability
1.1 Introduction
1.2 Sample Space and Algebra of Sets
Lecture (3 hrs)
Tutorial (1 hrs)
1.3 Tree Diagrams and Counting Techniques
1.3.1 Combinations
1.3.2 Permutations
1.4 Properties of Probability
Lecture (3 hrs)
Tutorial (1 hrs)
1.5 Conditional Probability
1.6 Bayes’ Theorem
1.7 Independence
Lecture (3 hrs)
Tutorial (1 hrs)
CHAPTER 2: Random Variables
2.1 Introduction
2.2 Discrete Probability Distribution
2.3 Continuous Probability Distribution
2.4 Cumulative Distribution Function
2.5 Expected Value, Variance and Standard Deviation
CHAPTER 3: Probability Distribution
3.1 Introduction
3.2 Binomial Distribution
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Lecture (3 hrs)
Tutorial (1 hrs)
Quiz 1
Lecture (3 hrs)
Tutorial (1 hrs)
Lecture (3 hrs)
Tutorial (1 hrs)
Test 1
(Chapter 1&2)
Week 7
Lecture (3 hrs)
Tutorial (1 hrs)
3.3 Poisson Distribution
3.4 Normal Distribution
2 – 6/4/12
Mid-term break (7– 15/4/12)
Week 8
16 – 20/4/12
Week 9
23 – 27/4/12
Week 10
30/4 – 4/5/12
Week 11
7 – 11/5/12
Week 12
14 – 18/5/12
Week 13
21 – 25/5/12
3.4.1 Normal Approximation of the Binomial Distribution
3.4.2 Normal Approximation of the Poisson Distribution
CHAPTER 4: Statistical Inference
4.1 Introduction
4.2 Estimation
4.2.1 Confidence Interval for Population Mean
4.2.2 Confidence Interval for Population Proportion
4.2.3 Error of Estimation and Determining the Sample Size
Lecture (3 hrs)
Tutorial (1 hrs)
Lecture (3 hrs)
Tutorial (1 hrs)
Quiz 2
Lecture (3 hrs)
Tutorial (1 hrs)
4.3 Hypothesis Testing
4.3.1 Hypothesis Test for Population Mean
4.3.2 Hypothesis Test for Population Proportion
Lecture (3 hrs)
Tutorial (1 hrs)
Test 2
Chapter 5: Introductory Linear Regression
5.1 Introduction
5.2 Scatter Plots
Lecture (3 hrs)
Tutorial (1 hrs)
5.3 Linear Regression Model
5.4 Least Squares Method
Lecture (3 hrs)
Tutorial (1 hrs)
Quiz 3
5.4 Correlation
Lecture (3 hrs)
Tutorial (1 hrs)
Week 14
28/5 – 1/6/12
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Evaluation:
(i) Final Examination: 60%
(ii) Course Work: 40 %
(iii) Course work details:
(a) Quizzes - 10%
(b) Mid-Term Test 1 - 15%
(c) Mid-Term Test 2 - 15%
List of Textbooks and references:
Textbooks:
(i)
References:
(ii)
(iii)
(iv)
(v)
Richard J. Larsen and Morris L. Marx, (2001): Introduction to Mathematical Statistics and
Its Applications,3rd edition, Prentice Hall.
Peter V. O’ Niel (2006): Advanced Engineering Mathematics, 6th edition, CL Engineering.
William, M., Robert, J.B. and Barbara, M.B (2006): Introduction to Probability and
Statistics,12th edition, Thomson.
Lawrence H.T Chang and Radzuan Razali (2002): Asas Matematik Kejuruteraan, Prentice
Hall.
Anthony J. Hayter (2007): Probability and Statistics for Engineers and Scientist, 3rd edition,
Thomson.
Lecturer: Miss Rohana Binti Abdul Hamid
Room: Lecturer Room 3, Institute for Engineering Mathematics
Email: [email protected]
Mobile: 017-4831945
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