MATH 230

Probability & Statistics for Engineers

# Fall 2018

Instructors:  Dilek Güvenç (Sections 1, 2 & 4)

Office: SA 105  (Faculty of Science A-Block),  Phone: 290 2132
E-mail:  guvenc@fen.bilkent.edu.tr

Office Hours: Wednesday 10:40-12:30;  Friday 14:40-15:30

Gökhan Yıldırım ( Sections 3 & 5 )

Office: V 101  Phone: 290 1814

Office Hours: Tuesday 10:40-12:30; Wednesday 13:40-14:30

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

1st Midterm (27%)  Date: November 9, 2018 ( Friday )

Time:    17:45

2nd Midterm (27%)  DateDecember 14, 2018 ( Friday )

Time:   17:45

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

Attendance:   Attendance will be taken regularly.

Homework ( 12% ):    There will be 7 homework assignments throughout the semester, best 6 will be counted.

Student will be qualified to take the final exam if his/her total of midterm 1 and midterm 2 is at least 40 points (out of 200).

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

2.   Oct. 1    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). ( Hw 2 )

4.   Oct. 15  Geometric Distribution and  Moment  Generating Function (3.4) Binomial Distribution (3.5).

5.   Oct. 22     Negative Binomial Distribution (3.6), Hypergeometric Distribution ( 3.7), Poisson Distribution (3.8).  (Hw 3)

6.  Oct. 30   Continuous Densities, Uniform Distribution (4.1), Expectation and Distribution Parameters (4.2), (Hw 4) .

7. Nov. 5   Review, Applications and the FIRST MIDTERM

(Friday,   November 9, 2018 @  17:45 )

8.   Nov. 12     Exponential , Gamma, and Chi-Squared Distributions (4.3). Normal Distribution (4.4), Normal Probability Rule and Chebyshev's Inequality (4.5)

9.   Nov.  19  Normal Approximation to the Binomial Distribution (4.6 ), Weibull Distribution and Reliability (4.7) (Hw 5)

10Nov.  26   Joint Densities and Independence (5.1)  Expectation and Covariance (5.2) Correlation (5.3)

11.  Dec. 3   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 6)

12.  Dec. 10   Review, Applications and the SECOND MIDTERM

( Friday, December 14, 2017  @ 17:45 )

13.  Dec. 17 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 7)

14.  Dec.  24   Interval Estimation of Variability (8.1), Hypothesis Testing (8.3)

FINALS...