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? |
- Debt Management and Bankruptcy - If a good friend of yours has had serious financial misfortunes lately and is unable to meet her debt payments, what advice can you give? Be sure to include the topic of bankruptcy because she has hea ...
- Evaluating limit of absolute value of x as x approaches 0. - Evaluate Limit of f(x)=|x|, where |x| is the absolute value of x, as x approaches 0.
- Example of a function continuous over (- infinity, + infinity) - Prove that f(x)=|x| (Absolute value of x) is continuous over the interval (- infinity, + infinity)
- Proof : Prove that a triangle is equilateral <=> its incenter equals its centroid. - Prove that a triangle is equilateral <=> its incenter equals its centroid.
- A limit that does not exist - Evaluate Limit [|x|/x] as x approaches 0. where |x| represents the absolute value of x.
- Limits and Uniformly Continuous - Suppose that f:(0,1)-->R is uniformly continuous. Show that lim f(x) exists. x->0 keywords uniform continuity
- irrational - If r is rational and x is irrational, how would I prove that r+x and rx are irrational?
- Proving a limit exists - Prove that Lim (3x)=6 as x approaches 2 using Epsilon-Delta definition.
- Calculating an infinite limit - Calculate limit (1/x^2) as x approaches infinity
- Uncountable Basis - It can be shown that R (the set of all real numbers) is an infinite-dimensional vector space over Q (field of rationals). Is it true that any basis (by basis I mean algebraic basis or Hamel basis) of ...
- Limit of trigonometrical functions - Evaluate Limit[tan (a*theta)/sin(b*theta)] as theta approaches zero.
- Finding Limit of a function - Evaluate Limit of [{x^2+3*x+2}/{13*x+8}] as x approaches 4
- Free Groups : Show that G1*G2 is not abelian and must contain an element of infinite order. - Show that G1*G2 is not abelian and must contain an element of infinite order.
- Discontinuity of an oscillatory function - Let f(x)=sin(1/x) if x is not equal to 0 =0 if x is equal to 1 Check whether f is continuous at 0(zero)?
- Implicit differentiation - If x^2+y^3=y+y^4, then find dy/dx
- Path-connected Space : Abelian Group - let x0 and x1 be points of the path-connected space X. Show that Pi_1(X,x0) is abelian iff for every pair a and b of paths from x0 to x1, we have a'=b', where a'([f])=[a-]*[f]*[a];( a- means the rever ...
- Show that a finite extension of fields K/k which have prime degree have only trivial subextensions. - Show that a finite extension of fields K/k which have prime degree have only trivial subextensions.
- Properties of Measurable Spaces - Let (O,A) be a measurable space. What do these properties mean? 1) lim sup_n A_n := /_n /_m=n A_n in A 2) lim inf_n A_n := /_n /+m=n A_n in A keywords: limit, supremum, limsup, liminf
- Trace on inner-product space. - Suppose that V is an inner-product space. Prove that if T: V-->V is a positive operator and trace(T)=0, then T=0.
- Boolean Rings, Homomorphisms, Isomorphisms and Idempotents - 1)Let X={1,2,...,n}and let R be the Boolean ring of all subsets of X. Define f_i:R->Z_2 by f_i(a)=[1] iff i is in a.Show each f_i is a homomorphism and thus f=(f_1,...,f_n):R->Z_2*Z_2*...*Z_2 is a r ...
