Online TA Profiles
Sangameshwar Y, MSc
OTA ID#: 104312
| Education Experience: |
BSc , Mathematics, Physics and Chemistry, Osmania University, Hyderabad, India, 1995 BEd, Methods of teaching Mathematics, Osmania University, Hyderabad, India, 1996 MSc, Applied Mathematics, Regional Engineering College, Warangal, India, 1998 PhD (IP), Applied Mathematics, University of Maryland, In Progress |
|---|---|
| Focus of Study: | Operations Research
Graph Theory Combinatorics Discrete Mathematics |
| Awards: | Most outstanding presentation of my thesis entitled "Interaction of Peristalsis with Elasticity of the Wall"(Bio-Fluid Dynamics) in the fourth semester of MSc at Regional Engg. College.
Topper in All India General Knowledge Received Certificate of Merit for securing seat in MSc in REC. by Institute of Math&Stats, Hyderabad |
| Work Experience: | 5 years experience in teaching Math and IT. |
| Skills & Achievements: | I have excellent command over all topics of Mathematics. My forte is teaching Algebra, Graph Theory, Operations Research, Probability and Statistics
I possess excellent English and Quantitative abilities. My TOEFL score is 263 out of 300 My GRE-Quantitative score is 760 out of 800 I also have knowledge in programming languages like C and C++ |
| Career Interests: | I want to pursue Ph.D. in Applied Mathematics in one of the top universities in US. |
| Outside Interests: | Reading Books, Listening to Music, Numismatics |
| Message to Students and/or Parents: |
Doing Math Problems is an enjoyable experience. I always insist students to do the math problems on their own initially. No matter whether it is right or wrong. Because this makes the student think on their own. I will always be there to improve their solutions and explain according to their level of thinking. |
| Postings Answered: | 61 |
| Cumulative OTA Rating: | n/a What is OTA Rating? |
- Z-Modules and Modules Associated with Representations - 1)I understand what a standard R-module (ring-module) is, but I have heard talk of modules associated with representations. Could someone please give me some idea of what these are? 2) I am trying ...
- Multiplicatively Closed Subsets : Homomorphisms and Kernels - Suppose S is a multiplicatively closed subset of the ring R. Describe the kernel of the natural ring homomorphism R-->(S^-1)R When is the kernel {0}?
- probability - Two adults a1 and b1, and eight children c1, c2, ... , c8 board a bus with 10 seats s1, s2, ... , s10. The adults board first and randomly select seats. The children select seats in order with c1 se ...
- A space whose fundamental group is non-abelian. - Give an example of a space whose fundamental group is non-abelian.
- Nullhomotopic Mappings and Contractible Spaces - I am having problems proving this fact. A space X is contractible if and only if every map f:X to Y (Y is arbitrary) is nullhomotopic. Similarly show X is contractible iff ever map f:Y to X is nullh ...
- Homotopy Types and Equivalence Relations - Prove that "having the same homotopy type" is an equivalence relation on the set of topological spaces. keywords: homotopic
- Contractible Spaces : Homotopy Type - How can I show that the two contractible spaces have same homotopy type? keywords: homotopic
- Tychonoff and Hausdorff Spaces - Let X and Y connected, locally path connected and Hausdorff. let X be compact. Let f: X ---> Y be a local homeomorphism. Prove that f is a surjective covering with finite fibers. Prove: a) Any s ...
- Covering space of S^1 and Homomorphisms - Let p: (0,10) --> S^1, p(t) = (cos t, sin t). Show that p is a local homomorphism, but ((0,10), p) is NOT a covering space of S^1
- Continuous Maps, Homomorphisms and Cyclic Groups - Let f: S^n --> S^n be a continuous map. Consider the induced homomorphism f*: H~_n (S^n) --> H~_n (S^n), where H~_n is a reduced homology group. Then from the fact that H~_n (S^n) is an infinite cy ...
- Topological Groups : Quotient and Open Maps - Let be p:G to G/N a quotient map.Is it open? Let be f:G to H an open map. Is it quotient map? Here G and H are topological groups, and N is an subgroup.
- Path connected subsets - Give proofs or counter-example for the following statements: i)If X and Y are path connected subsets of Z and X/Y ( X intersection Y) is non empty then X/Y is path connected. ii) If X and Y are ...
- sierpinski space is contractible - Let X be Sierpinski space: X={x,y} with topology {X,empty set, {x}} . prove that X is contractible.
- Covering Maps : Let q: X->Y and r:Y->Z be covering maps; let p=(r(q(x))). Show if r^(-1)(z) is finite for each z in Z, p is a covering map. - Let q: X->Y and r:Y->Z be covering maps; let p=(r(q(x))). Show if r^(-1)(z) is finite for each z in Z, p is a covering map.
- Linearly Independent Subsets : Partially Ordered by Inclusion - Let X be any vector space over the field F, let L be a linearly independent subset of X, and A be the set of linearly independent subsets of X containing L. Then A is partially ordered by inclusion ...
- Homology Group - Determine the structure of the homology group H_n(X), n >= 0, if X is (a) the set of rational numbers with their usual topology; (b) a countable, discrete set.
- Formal definition of a limit : explained graphically - Define a limit graphically
- Dynamic Programming - Please see the attached file for the fully formatted problem. Use Dynamic Programming to solve: 1. Min f(x-bar) = 3x21 + x22 + 2x23 s.t. Sx1 + 2x2 +x3 >= 18 DP Formulation:.... Min s. ...
- The domain and range of a square-root function - Let f(x)=sqrt(2*x-6) . Find the largest possible domain for f . Find its range. Also graph the function.
- Graph of y=x^2 , a parabola - Graph the function y=x^2 by tabulating the values
