LESSON PLAN
DEPARTMENT OF MATHEMATICS
FACULTY OF MATH AND SCIENCES
STATE UNIVERSITIY OF MALANG
ODD SEMESTER 2012/2013
A.
COURSE
DESCRIPTION
1.
Name : Mathematical Statistics 1
2.
Code :
MAU 408
3.
Credit/hour
semester :
3/4
4.
Level :
Undergraduate
5.
Group : MKK
6.
Prerequisite
course : MAU 402
7.
Lecturer : Abadyo
B.
STANDARD
COMPETENCY
Students have a comprehensive knowledge on the
subject of probability, random variables, and statistics in mathematical
formulations.
C.
BASIC COMPTENCES
After taking a course of Mathematical Statistics 1 students are able to:
1. Explain the concept of a random experiment, sample space,
events, and other types of
events.
2. Explain the probability as a set function.
3. Identify and prove the properties
of probability.
4. Explain and give examples of
conditional probability.
5. Explain
the events are independent and give its examples.
6. Explain
the random variables as a function over a sample space.
7. Explain the probability density
function and give its examples.
8. Explain the cumulative distribution
function and give its examples.
9. Explain the distribution of
discrete random variables and give its examples.
10. Explain the distribution of continuous
random variables and give its examples.
11. Explain the mathematical expectation and
they can count it.
12. Recognize and demonstrate some specific
expectation (mean, variance, moment
generating functions).
13. Explain the Binomial and Multinomial
distribution and show its properties.
14. Explain the Poisson distribution and
show its properties.
15. Explain
the Gamma and Chi-Square distribution and show its properties.
16. Explain
the Normal
17. Describe the joint probability
distribution and give its example.
18. Explain the marginal and conditional
distributions and give its examples.
19. Explain the correlation coefficient and
they can count it.
20. Explain the stochastically independent and
give the evidence of its properties..
21. Explain the sampling distribution and
give its example.
22. Determine the transformation of
discrete random variables.
23. Determine the transformation of continuous
random variables.
24. Determine the distribution of order
statistics.
D.
DETAIL
ACTIVITIES
|
Session
|
BC
|
Material
& Reference
|
Activities
|
Task/HW
|
|
29/08
|
1 – 2
|
Hogg and Craig
& Bain &Engelhardt:
1.1 The
concept of a random experiment,
sample space, events, and other types
of
events
1.2 The probability as a set function.
|
E
Q
C
|
Exc. 1.1
Exc. 1.2
|
|
05/09
|
3 – 4
|
1.3
The properties of probability.
1.4
The conditional probability.
|
E
Q
C
|
Exc. 1.3
Exc. 1.4
|
|
12/09
|
4 – 5
|
1.4
The conditional probability.
1.5 The
independent events.
|
E
Q
C
|
Exc. 1.5
|
|
19/09
|
TEST 1 (sec 1.1 to 1.5)
|
|||
|
26/09
|
6 – 7
|
2.1 The random variables as
a function over
a sample space.
2.2 The
probability density function.
|
E
Q
C
|
Exc. 2.1
Exc. 2.2
|
|
03/10
|
7 – 8
|
2.2 The probability density function.
2.3 The cumulative
distribution function.
|
|
Exc. 2.3
|
|
10/10
|
9 – 10
|
3.1 The
distribution of discrete random
variables
3.2 The
distribution of continuous random
variables
|
E
Q
C
|
Exc. 3.1
Exc. 3.2
|
|
17/10
|
11 – 12
|
4.1 The
mathematical expectation and its
properties.
4.2
Some specific expectation (mean,
variance, moment generating
functions).
|
E
Q
C
|
Exc. 4.1
Exc. 4.2
|
|
24/10
|
13 – 14
|
4.3 The
Binomial and Multinomial
distribution
4.4 The Poisson, Geometric distribution and
so on.
|
E
Q
C
|
Exc. 4.3
Exc. 4.4
|
|
31/10
|
TEST 2 (sec 2.1 to 4.4)
|
|||
|
07/11
|
15
|
5.1
The Gamma and Chi-Square distribution
|
E
Q
C
|
Exc. 5.1
|
|
14/11
|
16
|
6.1 The
distribution.
|
E
Q
C
|
Exc. 6.1
|
|
21/11
|
17 – 18
|
7.1
The joint probability distribution.
7.2 The marginal and conditional distributions
|
E
Q
C
|
Exc. 7.1
Exc. 7.2
|
|
28/11
|
19 – 21
|
8.1
The correlation coefficient.
8.2 The stochastically independent.
8.3
The sampling distribution.
|
E
Q
C
|
Exc. 8.1
Exc. 8.2
Exc. 8.3
|
|
05/12
|
22 – 24
|
9.1
The transformation of discrete random
variables.
9.2
The transformation of continuous random
variables.
9.3
The distribution of order statistics.
|
E
Q
C
|
Exc. 9.1
Exc. 9.2
Exc. 9.3
|
|
12/12
|
TEST 3(sec5.1 to 9.3)
|
|||
Note: E: Explaining
Q: Questioning
C: Collaborating
E.
EVALUTION
X1 + 2.X2 + X3 + X4 + 2.X5
NA =
7
X1 = Home work
average
X2 = Middle test
average
X3 = attendance score
X4 = activity score
X5 = Final test score
F.
REFERENCE
Main: Bain, L. J & Engelhardt,
M. 1992. Introduction to probability and
mathematical
statistics. Second Edition. Belmont,
California:
Duxbury Press.
Recommendation: Hogg, R.V. & Craig, A.T. 1978. Introduction to mathematical statistics.
Fourth Edition. New York: Macmillan Publishing.
Malang, August 8, 2012
Lecturer,
Abadyo
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