* TEACHER OFFICE HOURS*: T 1100-1200 AM , T 0230-0330 PM and R 0100-0200 PM

**MAT-135 AA, Probability**: MWF 1100-1150 AM ------ TA: Joshua Parker (jdparker AT math.ucdavis.edu)

__MAT-135 AB, Probability__: MWF 0210-0300 PM ------ TA: Zhongruo Wang (wangleft AT math.ucdavis.edu)

* TEXTBOOK*:

Covered sections | To be covered 1.1, 1.2, 1.3, 1.4, 1.5, 2.1, 2.3, 3.1, 3.2, 3.3, 3.5, 3.6, 3.7, 3.8, 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7, 4.8, 5.7, 5.8, 5.9, 5.10

- Formulae (For midterms and final) If you need it, print it by yourself. You are not allowed to borrow it from a friend during exams.
- Sample Midterm 1. Solutions_Problems_2,4
- Take-Home Quiz (Morning section) Take-Home Quiz (Both afternoon sections) Due: 10/30 at 2:10 PM.
- Some solved thursdays quizzes
- If anybody forgot a water bottle, it is in my office!!!!!!!!!!
- Solutions to Midterms. Morning Afternoon1,2, 3_and_4
- Important: There will be no classes on the following holidays: 11/11 (Veterans day), and 11/29 (Thanksgiving)

**Homeworks will not be graded**:

- Homework_09/28 Solutions
- Homework_10/03 Some solutions
- Homework_10/10 Problem 3 is just a Binomial r.v. Problem 4: see the solutions of HW4 below
- Homework_10/17 Some solutions
- Homework_10/29 For Quiz 4 we will only use Part I. Some hints
- Homework_11/12 For Quiz 5 we will only use Part I.
- Midterm 2 will be based on Homeworks 5 and 6, BOTH parts I and II, which corresponds to the Covered sections from 3.6 to 4.7.

* OPTIONAL READING: *(As sources of examples and exercises)

*A First Course in Probability, 10th Ed. by Sheldon Ross.**Lecture notes of Professor Gravner.*[pdf]

* GRADE*: Course grade will be based on the following:

- 5 Quizzes during discussion sessions, lead by the TA: 10 points each quiz (quiz days: Oct. 8,10, Oct. 15,17, Oct. 29,24, Nov. 5,7, Nov. 19,21)
- Midterm Exam 1 (Wednesday, October 30, in class): 100 points,
- Midterm Exam 2 (Monday, November 25, in class): 100 points,
- Final (AA: Friday, December 13//6:00-8:00 p.m., AB: Monday, December 9//3:30-5:30 p.m., room TBA): 200 points,
- TOTAL: 450 points.

**Grading curve:**

- 0-40%: F
- 41-50%: D
- 51-65%: C
- 66-80%: B
- 81-100%: A

* ADDITIONAL POLICIES*:

*All students must present their photo ID during exams. *Use of books, notes, calculators, or anything else but pencil and paper, will not be allowed on any exam.

Talking, texting, newspaper reading, etc. disrupt the lectures. *Use of computers, cellphones, or any other electronic devices for non-academic purposes during lectures is prohibited.*

*If you have any problem at all that requires special accomodation, please let me know well in advance!*

There will be *no make-up quizzes **nor make-up exams (unless you have a valid justification with evidence, such as medical)*. A missed exam counts as 0 points. If you miss the final you will automatically receive an F. *The grade I (Incomplete) will not be given in any circumstances.*

Teaching at IMPA

**Linear algebra and optimization** (finance). Mar-May 2019

*TA: *Dyego Soares de Araújo (dyego.eu AT gmail.com)

References

- LIMA, E. L. – Álgebra Linear. Coleção Matemática Universitária, IMPA, 1995.
- STRANG, G. – Introduction to Linear Algebra. Wellesley-Cambridge Press, 1993.

- Real analysis. Jan-Fev 2017, Jan-Fev 2018, Jan-Fev 2019
- Mathematical methods in finance. Mar-Nov 2018
- PDEs in finance. Sep-Nov 2017
- Probability. Jun-Aug 2017
- Linear PDE theory. Oct-Nov 2016
- Markov chains. Jan-Fev 2016
- Analysis in \(\mathbb R^n\). Mar-Jun 2015, Mar-Jun 2016

- ODEs. 2012
- Calculus. 2012