403 – Advanced linear algebra

January 23, 2013

Math 403/503: Advanced linear algebra.

Instructor: Andrés E. Caicedo.
Contact Information: See here.
Time: MW 1:30 – 2:45 pm.
Place: Business, Room 204.
Office Hours: Th 3-4:30 (starting Jan. 31), or by appointment (email me a few times/dates you have available).

There is no official textbook. A pdf of Uwe Kaiser‘s notes can be found here and the TeX source here. I will provide handouts of material not covered by these notes.

Contents: The department’s course description reads:

Concepts of linear algebra from a theoretical perspective. Topics include vector spaces and linear maps, dual vector spaces and quotient spaces, eigenvalues and eigenvectors, diagonalization, inner product spaces, adjoint transformations, orthogonal and unitary transformations, Jordan normal form.

The way we will develop the theory is by studying examples of some of its typical applications, and then covering the topics needed to understand these examples.

Grading: Based on homework. Details of homework policy will be given in due time. I expect there will be no exams, but if we see the need, you will informed reasonably in advance.

I post links to supplementary material on Google+. Circle me and let me know if you are interested, and I’ll add you to my Linear Algebra circle.

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170 – Calculus I (Honors). Syllabus

January 23, 2013

Math 170 Section 13: Calculus I. Honors.


Instructor: Andres Caicedo.
Contact Information: See here.
Time: MWF 10:30-11:45 am.
Place: Business, Room 204.
Office Hours: Th 3-4:30 (starting Jan. 31), or by appointment (email me a few times/dates you have available).

Text: Calculus (Michael Spivak), fourth edn. Publish or Perish, Inc. Here are some reviews.

If you want an additional text to supplement your reading, I suggest Calculus. Whitman College (David Guichard and others). The text is distributed under a Creative Commons license. It can be downloaded from Whitman’s page. You may also want to consider as an amusing, quick reference, The cartoon guide to Calculus (Larry Gonick).

Contents: The department’s course description reads:

Definitions of limit, derivative and integral. Computation of the derivative, including logarithmic, exponential and trigonometric functions. Applications of the derivative, approximations, optimization, mean value theorem. Fundamental Theorem of Calculus, brief introduction to applications of the integral and to computations of antiderivatives.

We will see some applications, but our emphasis is on understanding the theory. The material to cover is roughly the first 18-and-a-bit chapters of Spivak’s book.

The grade will be decided based on homework, quizzes, and a final exam (20%). The date of the final is Monday, May 13, 12-2 pm. Details of homework and quiz policy will be given in due time.

I post links to supplementary material on Google+. Circle me and let me know if you are interested, and I’ll add you to my Calculus circle.