Math 424/524: Advanced Linear Algebra (2165/2173)

Fall 2015

Instructor: Prof. Antun Milas

Office: Earth Sciences 123A

Contact phone: 442-4608

Email : [email protected]

Web: http://www.math.albany.edu/~am815139/424524sylFall2015.html

Office hours: TTH: 10:45-11:45 AM, or by appointment.

Text: Linear Algebra Done Right, by S. Axler, 2nd Edition, Wiley & Sons. You do not need to bring it with you to class each day.

Material covered: We will cover the following sections of the text:


Chapter 1: Vector Spaces
Chapter 2: Finite-dimensional Vector Spaces
Chapter 3: Linear Maps
Chapter 4: Polynomials
Chapter 5: Eigenvalues and Eigenvectors
Chapter 6: Inner-Product Spaces
Chapter 7: Operators on Inner-Product Spaces
Chapter 8: Operators on Complex Vector Spaces
Chapter 9: Operators on Real Vector Spaces
Chapter 10: Trace and Determinant
Rational canonical form (524 only)

Attendance: You are expected to attend class on time everyday . I reserve the right to lower your course grade for absences.

Examinations: There will be two one-hour exams and the final:

Exam 1 (TBA)
Exam 2 (TBA)
All students are expected to take the examinations at the announced time. There is no reason to miss an exam other than getting sick (bring note from doctor), being on a team that has a game at the same time an exam is given (bring a note from your coach), or a death or serious illness in your family. In the event you can not attend an exam, you need to notify me IN ADVANCE . You can call me, e-mail me (preferred!) or leave a message with the secretaries.

Homework: You are strongly encouraged to work the assigned problems! Daily homework problems will be assigned on each section of material covered in class. Homework will be collected and graded! If you want to attach your whole problem set together, use a paperclip or staple. Your homework should be neat and legible.

Quizzes: There will be 10 or 11 quizzes.

Grade breakdown: Final exam (25%), Exam 1 and 2 (22.5% each), Quizzes + homeworks (25%), Attendence and in-class participation (5%).

Use of electronic devices: The use of cell phones is prohibited in class. Ringtones must be turned off in class and, if on, cell phones must be in vibrate mode. If there is a need to check for and/or receive a call, the student must inform me in advance to excuse him/herself to take an important call. Students must not engage in text messaging in the classroom. Students who create disturbance with ringing cell phones or text messaging, will be asked to leave the class session. Also, I do not allow laptops, tablet devices (iPads, etc.), music players, or any other electronic devices I deem potentially distracting in class.