MATH 230

 Probability & Statistics for Engineers

Fall 2017

   Announcements

 

Instructors:  Dilek Guvenc (Sections 1, 2 & 3)

                        Office: SA 105  (Faculty of Science A-Block), ext: 2132
                        E-mail:  guvenc@fen.bilkent.edu.tr
                       
Office Hours: Monday 13:40-15:30;  Friday 10:40-11:30

                        Azer Kerimov ( Sections 4 & 5 )

                        Office: SA 120 (Faculty of Science A-Block), ext: 1627
                        E-mail:  kerimov@fen.bilkent.edu.tr
                       
Office Hours:  Tuesday 10:40- 12:30; Thursday 14:40-15:30

  Assistant(s) :                                              E-Mail:                                                                                                          

Textbook:
 
Introduction to Probability and Statistics-Principles and Applications
 for Engineering and Computing Sciences by J. Susan Milton & Jesse C. Arnold, Fourth Edition, Mc Graw Hill, 2003

 Exams & Grading :

1st Midterm (27%)  Date: November 3, 2017 ( Friday )

                                   Time:    17:45                                                                                   

 2nd Midterm (27%)  Date:  December 7, 2017 ( Thursday )

                                    Time:   17:45

Final Exam (34%):    Will be announced...

Attendance:   Attendance will be taken regularly.

      Homeworks ( 12% )    There will be 6 homeworks throughout the semester. Homeworks will be emailed on Monday of homework weeks (See syllabus below), they will be collected one week later and solutions of the homework questions will be emailed to the students.

FZ Grade Policy

Student will be qualified to take the final exam if his/her total is at least 20 over 66, by the last day of the classes. Those who do not have least total score of 20 over 66  will be given an FZ grade.

Makeup Exam Policy

Students who have missed a midterm exam and have valid, well-documented excuse can take a makeup of it. A single makeup exam will be given few days after the second midterm exam.

 Syllabus: (Tentative)

Week              Topics

 1.  Sept.  18    Interpreting Probabilities (1.1), Sample Spaces and Events (1.2), Permutations and  Combinations (1.3),  Axioms of Probability (2.1) 

 2.   Sept. 25     Conditional Probability (2.2), Independence and Multiplication Rule (2.3),  Bayes' Theorem (2.4).  (Hw 1)

3.   Oct. Random Variables (3.1),  Discrete Probability Densities (3.2),  Expectation and Distribution Parameters (3.3).

4.   Oct. 9  Geometric Distribution and  Moment  Generating Function (3.4) Binomial Distribution (3.5).  ( Hw2 )

5.   Oct. 16     Negative Binomial Distribution (3.6), Hypergeometric Distribution ( 3.7), Poisson Distribution (3.8). 

 6.  Oct. 23   Continuous Densities, Uniform Distribution (4.1), Expectation and Distribution Parameters (4.2), (Hw3) .  

7. Oct. 30    Review, Applications and the FIRST MIDTERM           

( November 3, 2017 @  18:30 )

8.   Nov. 6     Exponential , Gamma, and Chi-Squared Distributions (4.3). Normal Distribution (4.4), Normal Probability Rule and Chebyshev's Inequality (4.5)  (Hw 4)     

9.   Nov.  13  Normal Approximation to the Binomial Distribution (4.6 ), Weibull Distribution and Reliability (4.7)

10Nov.  20   Joint Densities and Independence (5.1)  Expectation and Covariance (5.2) Correlation (5.3)

11.  Nov. 27    Random Sampling (6.1), Picturing the Distribution (6.2),  Sample Statistics (6.3), Box Plots (6.4), Point Estimation (7.1), The Method of Maximum Likelihood (7.2)   (Hw 5)   

 12.  Dec. 4   Review, Applications and the SECOND MIDTERM

                     ( December 7, 2017  @ 17:45 )

 13.  Dec. 11 Functions of Random Variables- Distribution of Sample Mean (7.3), Interval Estimation and the Central Limit Theorem (7.4)  Estimating the Mean and the Student-t Distribution (8.2) ( Hw 6 )

 14.  Dec.  18    Interval Estimation of Variability (8.1),  Hypothesis Testing (8.3)

FINALS...