* 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, 3.9, 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)
*In preparation.*Not ready. - Sample Midterm 1. BEFORE DOWNLOADING: Imagine that this is your exam and solve it in 50 minutes. Problems 1 and 3 come with solutions, so solve them on a different paper. Avoid reading the solutions, and compare them with yours only when you finish your simulation.
- Remark: The Sample is designed to make you familiar with the style of questions you will approach. However, the 'difficulty' of the 1st Midterm will be in between the Sample and the Homeworks.

**Homeworks will not be graded**:

* 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