Paul Skoufranis
Ph.D. Student
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Curriculum VitaeWinter 2012: 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:
MATH 115A - Test Advice
Practice Quiz One
Practice Midterm
Practice Quiz Two
My Final Exam Study Sheet
Practice Final Exam
Sections and Ratings:
| Section ID | Section | Classroom | Time | TA
Ratings: |
Question
1 |
Question
2 |
|---|---|---|---|---|---|---|
| 262398231 | 4A |
MS 5117 |
TR 2:00P-2:50P | 8.5 |
8.1 |
Question 2: How would you rate the availability and helpfulness of your instructor out of the classroom? (out of 9)
Student Comments:
Paul is amazing, he really understands the material and presents it in a way that is very understandable. He is also very available and willing to help out and explain things to students.Paul was a very caring and responsible TA, and he really went out of his way to make sure that we understood the things we learned in class. He is very clear and concise when he teaches, and he makes hard concepts easier to grasp for us!
Very organized and thorough, knowledgable of the material and very helpful!
in my opinion, you r the best TA.