Lecture Plan PTSP - ECE D - Pandurangaiah(1)
17
VARDHAMAN COLLEGE OF ENGINEERING (AUTONOMOUS) Shamshabad – 501 218, Hyderabad DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING LECTURE PLAN AND COURSE CONTENT MONITORING FORM ACADEMIC YEAR 2014-2015 Name of the Course: Probability Theory and Stochastic Processes Year/Semester/Section: II Year / I Sem / Section -D Course Code: A1403 Name of the Faculty: M. Veera Swami WEEK - 1 Expect ed Lectur e No Expecte d Date Expected Topics to be Covered Actua l Lectu re No Actual Date Actual Topics Covered 1 07-07- 2014 Introduction to set theory 1 08-07- 2014 Introduction to probability 2 09-07- 2014 Experiment, trail, event, outcome, sample space, different types of events, probability definition – axioms of probability. 2 09-07- 2014 Basic set theory 3 10-07- 2014 Joint Probability, conditional probability, total probability, baye’s Theorem. 3 10-07- 2014 Basic set theory 4 11-07- 2014 Operations on sets and algebra of sets
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Transcript of Lecture Plan PTSP - ECE D - Pandurangaiah(1)
VARDHAMAN COLLEGE OF ENGINEERING(AUTONOMOUS)
Shamshabad – 501 218, Hyderabad
DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERINGLECTURE PLAN AND COURSE CONTENT MONITORING FORM
ACADEMIC YEAR 2014-2015
Name of the Course: Probability Theory and Stochastic Processes
Year/Semester/Section: II Year / I Sem / Section -D
Course Code: A1403 Name of the Faculty: M. Veera Swami
WEEK - 1
Expected
Lecture No
Expected Date
Expected Topics to be Covered
Actual Lecture No
Actual Date Actual Topics Covered
1 07-07-2014
Introduction to set theory
1 08-07-2014 Introduction to probability
209-07-2014
Experiment, trail, event, outcome, sample space, different types of events, probability definition – axioms of probability.
2 09-07-2014 Basic set theory
310-07-2014
Joint Probability, conditional probability, total probability, baye’s Theorem.
3 10-07-2014 Basic set theory
4 11-07-2014 Operations on sets and algebra of sets
Teaching Aids Used: Black Board
Remarks (if any):
Signature of the Faculty Signature of the Course Coordinator
Comments / Suggestions by HOD:
Date: Signature of the
HOD
VARDHAMAN COLLEGE OF ENGINEERING(AUTONOMOUS)
Shamshabad – 501 218, Hyderabad
DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERINGLECTURE PLAN AND COURSE CONTENT MONITORING FORM
ACADEMIC YEAR 2014-2015
Name of the Course: Probability Theory and Stochastic Processes
Year/Semester/Section: II Year / I Sem / Section - A
Course Code: A1403 Name of the Faculty: M.Veera Swami
WEEK - 2
Expected
Lecture No
Expected Date
Expected Topics to be Covered
Actual Lecture No
Actual Date Actual Topics Covered
414-07-2014
Problems on probability.
6 16-07-2014
Probability introduced through sets and relative frequency, probability definitions and problems
5 16-07-2014
Independent events, Bernoulli trails, and problems.
7 17-07-2014 Joint and conditional probabilities
617-07-2014
Concept of random variable, conditions for a function to become a random variable, classification of random variables.
8 18-07-2014Axioms of conditional probability and
7 19-07-2014
Probability distribution function, density functions, conditional distribution, density and their properties
9 19-07-2014
Total probability theorem Baye’s theorem and problems
Teaching Aids Used: Black Board
Remarks (if any):
Signature of the Faculty Signature of the Course Coordinator
Comments / Suggestions by HOD:
Date: Signature of the
HOD
VARDHAMAN COLLEGE OF ENGINEERING
(AUTONOMOUS)Shamshabad – 501 218, Hyderabad
DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERINGLECTURE PLAN AND COURSE CONTENT MONITORING FORM
ACADEMIC YEAR 2014-2015
Name of the Course: Probability Theory and Stochastic Processes
Year/Semester/Section: II Year / I Sem / Section - A
Course Code: A1403 Name of the Faculty: M.Veera Swami
WEEK - 3
Expected
Lecture No
Expected Date
Expected Topics to be Covered
Actual Lecture No
Actual Date Actual Topics Covered
821-07-2014
Problems on distribution and density functions.
10 22-07-2014Binary communication system and problems
9 23-07-2014
Distribution, density functions of Gaussian random variable and problems.
11 23-07-2014 Independent events and problems
10 24-07-2014
Binomial, Poisson, uniform random variables distribution and density function, applications and problems.
12 24-07-2014 Bernoulli trials and problems
11 26-07-2014
Exponential, Rayleigh random variable distribution and density function, applications and problems.
13 25-07-2014
Random variable and conditions for function to be random variable
14 26-07-2014 VIVECA Inaugural function
Teaching Aids Used: Black Board
Remarks (if any):
Signature of the Faculty Signature of the Course Coordinator
Comments / Suggestions by HOD:
Date: Signature of the HOD
VARDHAMAN COLLEGE OF ENGINEERING(AUTONOMOUS)
Shamshabad – 501 218, Hyderabad
DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERINGLECTURE PLAN AND COURSE CONTENT MONITORING FORM
ACADEMIC YEAR 2014-2015
Name of the Course: Probability Theory and Stochastic Processes
Year/Semester/Section: II Year / I Sem / Section - A
Course Code: A1403 Name of the Faculty: M.Veera Swami
WEEK - 4
Expected
Lecture No
Expected Date
Expected Topics to be Covered
Actual Lecture No
Actual Date Actual Topics Covered
1228-07-2014
Expectation, expected value of a function of random variable, properties and problems.
15 28-07-2014Probability distribution function and its properties
1330-07-2014
Momentsi. moments about originii. moments about mean, variance, skew and standard deviation.
16 30-07-2014Probability density function and problems
14 31-08-2014
Problem on moments.
17 31-07-2014Problems on probability density function
15 02-09-2014
Chebychev’s, markov’s, Schwartz inequality and problems.
Teaching Aids Used: Black Board
Remarks (if any):
Signature of the Faculty Signature of the Course Coordinator
Comments / Suggestions by HOD:
Date: Signature of the HOD
VARDHAMAN COLLEGE OF ENGINEERING(AUTONOMOUS)
Shamshabad – 501 218, Hyderabad
DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERINGLECTURE PLAN AND COURSE CONTENT MONITORING FORM
ACADEMIC YEAR 2014-2015
Name of the Course: Probability Theory and Stochastic Processes
Year/Semester/Section: II Year / I Sem / Section - A
Course Code: A1403 Name of the Faculty: M.Veera Swami
WEEK - 5
Expected Lecture
No
Expected Date
Expected Topics to be Covered
Actual Lecture
NoActual Date
Actual Topics Covered
16 04-08-2014
Functions that given moments
1. Characteristics function and problems.
Moment generation function and problems.
18 04-08-2014Binomial,poisson and uniform distributions
17 06-08-2014 19 05-08-2014Exponential distribution and problems
18 07-08-2014
Problems on characteristic and moment generating functions.
20 06-08-2014
Conditional distribution and density functions,methods of defining conditioning events
21 07-08-2014Gaussian distribution and problems
22 09-08-2014
Expected value of random variable, expected value of a function of a random variable and conditional expected value
Teaching Aids Used: Black Board
Remarks (if any):
Signature of the Faculty Signature of the Course Coordinator
Comments / Suggestions by HOD:
Date: Signature of the HOD
VARDHAMAN COLLEGE OF ENGINEERING(AUTONOMOUS)
Shamshabad – 501 218, Hyderabad
DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING
LECTURE PLAN AND COURSE CONTENT MONITORING FORMACADEMIC YEAR 2014-2015
Name of the Course: Probability Theory and Stochastic Processes
Year/Semester/Section: II Year / I Sem / Section - A
Course Code: A1403 Name of the Faculty: M.Veera Swami
WEEK - 6
Expected
Lecture No
Expected Date
Expected Topics to be Covered
Actual Lecture No
Actual Date
Actual Topics Covered
19 11-08-2014Transformations of single random variables 23
21-08-2014
Transformation of a discrete random variable and multiple random variable
20 13-08-2014
Vector random variable concept, joint probability distribution function, properties and marginal distribution function.
24 13-08-2014
Joint distribution function, properties and marginal distribution functions
21 14-08-2014 Joint probability density function, properties and marginal density functions, conditional distribution and density
– point conditioning and interval conditioning.
22 16-08-2014
Problems on joint distribution and density functions.
Teaching Aids Used: Black Board
Remarks (if any):
Signature of the Faculty Signature of the Course Coordinator
Comments / Suggestions by HOD:
Date: Signature of the HOD
VARDHAMAN COLLEGE OF ENGINEERING(AUTONOMOUS)
Shamshabad – 501 218, Hyderabad
DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERINGLECTURE PLAN AND COURSE CONTENT MONITORING FORM
ACADEMIC YEAR 2014-2015
Name of the Course: Probability Theory and Stochastic Processes
Year/Semester/Section: II Year / I Sem / Section - A
Course Code: A1403 Name of the Faculty: M.Veera Swami
WEEK - 7
Expected
Lecture No
Expected Date
Expected Topics to be Covered
Actual Lecture No
Actual Date
Actual Topics Covered
23 20-08-2014
Statistical independence, sum of two random variables and several random variables, central limit theorem.
25 22-08-2014 Transformations of a random variable
24 21-08-2014Problems on sum of random variables. 27 24-08-2014
Multiple random variables, joint distribution function, properties and problems
25 23-08-2014
Expected value of a function of multiple random variables and problems.
Teaching Aids Used: Black Board
Remarks (if any):
Signature of the Faculty Signature of the Course Coordinator
Comments / Suggestions by HOD:
Date: Signature of the HOD
VARDHAMAN COLLEGE OF ENGINEERING(AUTONOMOUS)
Shamshabad – 501 218, Hyderabad
DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERINGLECTURE PLAN AND COURSE CONTENT MONITORING FORM
ACADEMIC YEAR 2014-2015
Name of the Course: Probability Theory and Stochastic Processes
Year/Semester/Section: II Year / I Sem / Section - A
Course Code: A1403 Name of the Faculty: M.Veera Swami
WEEK - 8
Expected
Lecture No
Expected Date
Expected Topics to be Covered
Actual Lecture No
Actual Date Actual Topics
Covered
26 25-08-2014
Joint moments about origin, joint central moments, correlation and covariance of Multiple random variables.
28 25-08-2014Joint density function, properties and problems
27 27-08-2014Problems on joint moments. 29 26-08-2014
Conditional distribution and density-point conditioning and problems
28 28-08-2014
Joint characteristics function, properties and problems.
30 27-08-2014
Conditional distribution and density-interval conditioning, statistical independence
30 29-08-2014
Jointly Gaussian random variables and properties.
Case i) Two random variables
Case ii) ‘N’ random variables
31 28-08-2014
Distribution and density of sum of two random variables
Teaching Aids Used: Black Board
Remarks (if any):
Signature of the Faculty Signature of the Course Coordinator
Comments / Suggestions by HOD:
Date: Signature of the HOD
VARDHAMAN COLLEGE OF ENGINEERING(AUTONOMOUS)
Shamshabad – 501 218, Hyderabad
DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERINGTUTORIAL CLASSES
ACADEMIC YEAR 2014-2015
Name of the Course: Year/Semester/Section:
Course Code: Name of the Faculty:
TUTORIAL - I
Week Date Q. No. Tutorial Questions
Remarks (if any):
Signature of the Faculty Signature of the Course Coordinator
Comments / Suggestions by HOD:
Date: Signature of the
HOD
