**Math
4710** –**Basic
Probability, Spring 2018**

Homework assignments (solutions are posted on the Blackboard page)

**Prerequisites:
**one year of
calculus. Recommended: some knowledge of multivariate calculus

**Lecturer:**
Lilla Tothmeresz,
<lt454>, 511 Malott, Office hours, M 1:20-2:20,
F 11-12, Malott 511

**Lecture:** MWF
12:20-1:10, Malott 253

**Course
Website:** pi.math.cornell.edu/~web4710

**TA: **Ziyi
Chen <zc286>, Office
hours: W 1:10-2:10 pm, Malott 218

Jason Sun<ds653>, Office hours: R 1:30-2:30 pm, Malott 218

**Required
Text: **Sheldon
Ross, *A
First Course in Probability* (9th
Edition). Pearson, ISBN-13: 978-0321794772.

*The
course will be compatible with both the 8th and the 9th edition of
the textbook. In case of different numberings of exercises and
problems, additional comments will appear next to the corresponding
assignment.*

**Further
reading (not required):** Anderson, Sepäläinen, Valkó,
Introduction to Probability, Cambridge Mathematical Textbooks

**Description****:
**Introduction to the
fundamentals of probability and its applications, which prepares the
student to take Math 4720, Statistics. The course begins with basics:
combinatorial probability, mean and variance, independence,
conditional probability, and Bayes's formula. Density and
distribution functions and their properties are introduced, as well
as random variables and their joint distributions. The law of large
numbers and the central limit theorem are stated and their
implications for statistics are discussed.

**Homework:**
(graded)
Sets of exercises assigned weekly and usually collected Wednesdays.
Seven
problems will be assigned each time, four of them will be graded. The
two lowest scores will be dropped at the end of the semester.

*It
is recommended (but not required) for students to write up their
assignments using LaTeX.
Many of those in attendance will need to learn LaTeX at some point
and it is useful to have electronic copies of your work for later
reference.*

**Exams:**

Prelim 1: March 9, Fri in class

Prelim 2: April 20, Fri in class

Final: May 15, Tue 2PM-4:30PM, Rockefeller 203

**Grading:
**Your
grade will be calculated as follows:

Homework: 20%

Prelim 1: 20%

Prelim 2: 20%

Final exam: 40%