Matehematics
A4 in English -
Probability Theory
2019 Spring
Andras Vetier
Requirements
Interactive
Electonical Probability Text Book
Suggested
textbooks
in probability
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2019-02-07 Thursday
2019-02-07___01_RAND_number.xlsx
2019-02-07___02_RAND_number_12_experiments.xlsx
2019-02-07___03_RAND_number_1000_experiments.xlsx
Study Chapters 2,3,4 of
http://math.bme.hu/~vetier/df/Part-I.pdf
2019-02-12 Tuesday
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2019_02_12___06.jpg
2019_02_12___07.jpg
2019_02_12___08.jpg
2019_02_12___09.jpg
2019_02_12___10.jpg
Study Chapter 5 of
http://math.bme.hu/~vetier/df/Part-I.pdf
2019-02-14 Thursday
(I have not got the pictures yet.)
Study pages 10-24 of
http://math.bme.hu/~vetier/df/Part-I.pdf
and problems of Chapters 2-7 of
http://math.bme.hu/~vetier/df/Part-I_PROBLEMS.pdf
2019-02-19 Tuesday
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2019-02-19__05.jpg
Study Chapters 2-7 of
http://math.bme.hu/~vetier/df/Part-I.pdf
and choose and solve easear problems from Chapters 2-7 of
http://math.bme.hu/~vetier/df/Part-I_PROBLEMS.pdf
2019-02-26 Tuesday
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2019-02-26___04.jpg
2019-02-26___05.jpg
Study Chapters 1,2,4 of
http://math.bme.hu/~vetier/df/Part-II.pdf
2019-02-28
Thursday
2019-02-28___01_making_calculation_with_Excel.xlsx
2019-02-28___02_making_calculation_with_Excel.xlsx
2019-02-28___03_making_calculation_with_Excel.xlsx
2019-02-28___04_making_calculation_with_Excel.xlsx
2019-02-28___05_making_calculation_with_Excel.xlsx
2019-02-28___06_making_calculation_with_Excel.xlsx
2019-02-28___07_making_calculation_with_Excel.xlsx
2019-02-28___08_making_calculation_with_Excel.xlsx
Learn Chapters 1,2,4,9 of
http://math.bme.hu/~vetier/df/Part-II.pdf
Study Chapters 3,5,6,7 of
http://math.bme.hu/~vetier/df/Part-II.pdf
The first small test will be on 12 March, Tuesday
Topics of the small test:
Chapters 1-9 of
http://math.bme.hu/~vetier/df/Part-I.pdf
Chapters 1-9 and 13-17 of
http://math.bme.hu/~vetier/df/Part-II.pdf
2019-03-05 Tuesday
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2019-03-05__08.jpg
2019-03-05__09.jpg
Learn 1-9 and 13-17 of
http://math.bme.hu/~vetier/df/Part-II.pdf
2019-03-07
Thursday
Hypergeometrical distribution
(Mathematical and Excel formula,
constructing the figure of the distribution with Excel)
20 people going for hike - simulation
Average compared to expected value
Topics of the small test:
Chapters 2-7 of
http://math.bme.hu/~vetier/df/Part-I.pdf
and 1-9 and 13-17 of
http://math.bme.hu/~vetier/df/Part-II.pdf
2019-03-12 Tuesday
2019-03-12___00.jpg
2019-03-12___01.jpg
2019-03-12___02.jpg
2019-03_12___01.xlsx
2019_03_12___Point-Cloud_for_Arc-Sine_Distribution.xlsx
2019_03_12___Point-Cloud_for_Cauchy_Distribution.xlsx
Study chapters 1,2, 6,7,8,9 of
http://math.bme.hu/~vetier/df/Part-III.pdf
2019-03-14
Thursday
Discussing the problems of Small
Test 1.
Exponential distribution - study Chapter 11 of
http://math.bme.hu/~vetier/df/Part-III.pdf
Our lesson on 26, March will be not held.
2019-03-28 Thursday
Exponential and normal distribution s- study Chapters 12 and 13
of
http://math.bme.hu/~vetier/df/Part-III.pdf
2019-04-02 Tuesday
2019_04_02___01_Sum_of_20_fair_dice.xls
2019_04_02___02_Sum_of_20_unfair_dice.xls
2019_04_02___03_Sum_of_20_ufair_dice_with_a_U_shaped_distribution.xls
Study
Chapter 19 of
http://math.bme.hu/~vetier/df/Part-III.pdf
Chapter 8 of
http://math.bme.hu/~vetier/df/Part-IV.pdf
2019-04-04
Thursday
2019_04_02___03_Sum_of_20_ufair_dice_with_a_U_shaped_distribution.xls
2019-04-04___01_Standard_normal_distribution.xlsx
2019-04-04___02_simulation_of_norm_r.v.s.xlsx
Consultations:
10
April, Wednesday from 4:00 to 5:30pm and
11 April Thursday from 4:00 to 4:45pm.
If you plan to come, please, write an email to
vetier@math.bme.hu
one day before the consultation time.
2019-04-11
Thursday
2019-04-11___01_Number_of_necessary_experiments.xlsx
The Second
Small Test
will be on 16 April, Tuesday
Topics
of Second Small Test
from Part III:
1 Continuous random variables
2 Distribution function
4 Density function 5
6 Uniform distributions
7 Distributions of some functions of random numbers
8 Arc-sine distribution
9 Cauchy distribution
11 Exponential distribution
12 Gamma distribution
13 Normal distributions
16 Expected value of continuous distributions
17 Expected value of a function of a continuous
random variable
19 Standard deviation, etc
from Part IV:
8 Properties of the expected value, variance and
standard deviation (Point 7. "Variance of a sum" can
be skipped)
12 Limit theorems to normal distributions
2019-04-16
Tuesday
2019-04-16___01_Probabilities.xlsx
2019-04-16___02_Marginal_distributions.xlsx
2019-04-16___03_Conditional_distributions.xlsx
Study
Chapter 19
Projections and conditional distributions for discrete
distributions
of
http://math.bme.hu/~vetier/df/Part-II.pdf
2019-04-18
Thursday
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2019-04-18___07.jpg
2019-04-18___08.jpg
Study Chapters 1, 2, 4 of
http://math.bme.hu/~vetier/df/Part-IV.pdf
2019-04-23
Tuesday
2019-04-23___01_Height_Weight.xls
2019-04-23___02_Two_dim_normal.xlsx
2019-04-23___03_Using_conditional_distributions_for_normal_distributions.xlsx
Study Chapter 5 of
http://math.bme.hu/~vetier/df/Part-IV.pdf
The Third Small
Test
will be an oral exam on 30 April,
Tuesday
Topics
of Thirsd Small Test are the same as of Second Small
Test (see above)
Notions, theorems, methods, proofs will be asked.
2019-05-02
Thursday
2019-05-02___01_Expon_distr_transformed_by_squaring.xlsx
2019-05-02___01_Lognormal_random_variable.xlsx
2019-05-02___03_Log-normal.xls
Study
Chapter 14 Distributions derived from normal
Chapter 21 Transformation from line to line
of
http://math.bme.hu/~vetier/df/Part-III.pdf
and
Chapter 9 Transformation from plane to line
Chapter 10 Transformation from plane to plane
of
http://math.bme.hu/~vetier/df/Part-IV.pdf
Midterm test: 14 May,
(Tuesday)
Material:
Everything we have taken during the whole term
2019-05-07
Tuesday
2019-05-07___01_Number_of_failures.xlsx
2019-05-09
Thursday
2019--05-09___01_Probability_controll.xlsx
Repeated Midterm Test: 22
May, Wednesday, 8am, E1C
Students have to register in Neptun
Exams:
27 May, 3, 17, 24 June, (all these 4 dates are
Mondays) at 10am in E1C
Students have to register in Neptun
(The exams will occur soon in the
Neptun system)
