Math 202-02, Linear Algebra and Probability

MWF 3:30-4:35, LS G12

Spring, 2016

Professor: Peter Pacheco
Office: Harney 540
Phone: 422-6630
Email: user: peter, domain: usfca.edu
Office Hours: MW 4:45-5:45, F 2:15-3:15, and by appointment


Prerequisites: The official prerequisite for Math 202 is Math 201, Discrete Mathematics. Note that Math 201 has CS 110, Introduction to Computer Science I, and Math 108, Precalculus, as prerequisites. So in addition to having a knowledge of discrete math, students should be able to work with basic algebra and to program in a high-level language.


Texts:


Class Website: http://cs.usfca.edu/~peter/math202


Class Mailing List: You will be automatically subscribed to the class mailing list. Please note that this list uses your USF email address. If you ordinarily read your email using another account, be sure to forward your USF email to the other account.


Coursework and Grades: I will base your final grade on ten quizzes, two midterms, and a final exam, weighted as follows.
Quizzes 10 @ 2.5% each 25%
Midterms 2 @ 20% each 40%
Final Exam 35%
Total 100%
I will also assign homework problems. These are not to be turned in for credit. However, questions on the quizzes will be very similar to homework problems. So working the homework problems will help to prepare you for the quizzes.
I will assign grades on a straight scale. Roughly, 90-100% is an A, 80-89% is a B, 65-79% is a C, 55-64% is a D, and 0-54% is an F.


Attendance: There is no attendance requirement. However, you will be responsible for all the material covered in class, regardless of whether it is covered in the texts.


Academic Honesty: As a Jesuit institution committed to cura personalis - the care and education of the whole person - USF has an obligation to foster the values of honesty and integrity. The University requires that all the members of the academic community uphold its standards of honesty and integrity. All students are expected to know and adhere to the University's Honor Code. You can find the full text of the code online at the Fogcutter.
In particular, copying another person's work is unacceptable. Students who violate these rules will receive a 0 on the quiz or exam. More flagrant violators will receive an F in the course.
Learning Outcomes: A student completing this course will have learned to:
  1. Represent a system of linear equations with matrices;
  2. Find the general solution of such a system (or determine that none exists);
  3. Carry out various operations in matrix algebra;
  4. Work with vectors, vector spaces, bases, and dimension;
  5. Understand Determinants;
  6. Calculate eigenvalues and eigenvectors of linear transformations;
  7. Understand probability models and sampling;
  8. Understand independence and conditional probability;
  9. Understand random variables and basic descriptive statistics.
Tentative Course Outline




Week Material
1/25-1/29 Preliminaries. Vectors and matrices.
2/1-2/5 Solving linear systems and matrix operations.
Quiz 1, Friday, 2/5.
2/8-2/12 Inverse matrices, LU factorization.
Quiz 2, Friday, 2/12.
2/16-2/19 Vector spaces, independence, basis.
Quiz 3, Friday, 2/19.
2/22-2/26 Orthogonality.
Midterm 1, Friday, 2/26.
2/29-3/4 Determinants.
Quiz 4, Friday, 3/4.
3/7-3/11 Eigenvalues and eigenvectors.
Quiz 5, Friday, 3/11.
3/21-3/24 Eigenvalues, eigenvectors and PageRank
Quiz 6, Wednesday, 3/23.
3/28-4/1 Linear transformations.
Quiz 7, Friday, 4/1.
4/4-4/8 Discrete probability distributions.
Midterm 2, Friday, 4/8.
4/11-4/15 Combinatorics.
Quiz 8, Friday, 4/15.
4/18-4/22 Conditional probability.
Quiz 9, Friday, 4/22.
4/25-4/29 Random variables and expected value.
Quiz 10, Friday, 4/29.
5/2-5/6 Law of large numbers.
Quiz 11, Friday, 5/6.
5/9-5/12 Central limit theorem
Quiz 12, Wednesday, 5/11.



File translated from TEX by TTHgold, version 4.00.
On 28 Jan 2016, 18:10.