Paul Skoufranis
Ph.D. Student
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Curriculum VitaeFall 2011: MATH 115A
Additional Course Material:
Linear Algebra Preparation Material:Common Notation and Symbols in Mathematics
MATH 33A Review Questions
Review of Determinants
Additional Examples:
Additional Examples of Fields
Additional Examples of Proof by Contradiction
Additional Examples of the Principle of Mathematical Induction
Additional Explainations:
A More Detailed Proof of Theorem 1.7 from the Text
One-to-One and Onto Functions (Additional background for Chapter 2)
Coordinates and the Matrix of a Linear Transformation (An alternate approach to some of the material in Sections 2.2, 2.3, and 2.5 of the text)
Summary of Invertibility and Isomorphisms
L_A Explained
Elementary Row Operations Explained
Summary Of Diagonalizability
Gram-Schmidt Orthogonalization Process and QR Factorization Notes
Orthogonal Projections Notes
Discussion Notes:
Maximal Linearly Independent Subsets
Direct Sums of Vector Spaces
Quotients of Vector Spaces
Dual Spaces
Review Of Determinants
Limits of Matrices
The Cayley-Hamilton Theorem and Minimal Polynomials
The Spectral Theorem for Normal and Self-Adjoint Operators
Examination Material:
Advice for Midterm One
Practice Midterm One
Advice for Midterm Two
Practice Midterm Two
Final Examination Study Sheet
Practice Final Examination
Sections and Ratings:
| Section ID | Section | Classroom | Time | TA
Ratings: |
Question
1 |
Question
2 |
|---|---|---|---|---|---|---|
| 262398221 | 3A |
MS 5147 |
TR 11:00A-11:50A | 7.7 |
8.1 |
Question 2: How would you rate the availability and helpfulness of your instructor out of the classroom? (out of 9)
Student Comments:
By far the best TA I have ever had at UCLA. He was extremely knowledgable, and very accessible. He went way out of his way to make sure we understood the material. Posted homework solutions that were complete and extremely helpful. Awesome TA in all aspects!Paul is one of the most amazing TA I have for math in UCLA, I found his explanations very clear professor's. The practice exams are very useful so do those extra notes and solutions. Also, it was really amazing to see how he did proofs without any notes, and some of the proofs even take half an hour to finish. It seems like he could solve every problem in this class. UCLA a should make him to be a professor.
Really really great TA. Very helpful, provided a lot of extra materials for us to see which helped understand the material. He should definitely be a professor someday because he is enthusiastic, helpful, and available.
helpful + clear + responsible + know the material well = perfection