Online TA Profiles
Stewart James, PhD
OTA ID#: 106018
| Education Experience: |
BSc, Pure and Applied Mathematics, University of Exeter, 2000 PhD, Mathematics, University of Sheffield, 2004 |
|---|---|
| Focus of Study: | Algebraic geometry |
| Awards: | HW Unthank level 2 prize awarded for best overall results as a 2nd year Mathematics undergraduate at the University of Sheffield
HW Unthank level 3 prize - as above for the 3rd year. |
| Publications: | Front cover featured article of Nature, July 2004 - "Solar chromospheric spicules from the leakage of photospheric oscillations and flows"
with collaborators B. De Pontieu and R. Erdelyi. PhD Thesis published in 2004: "Solar spicules - a unique approach to modelling the solar atmosphere" (along with several associated papers published in Astronomy and Astrophysics) |
| Work Experience: | 2000-2004 Assisted with Engineering and Mathematics tutorials at the University of Sheffield
2005-present TA/lecturer at Rutgers University |
| Skills & Achievements: | I have studied a very broad range of pure and applied mathematics to a high level. |
| Career Interests: | My goal is to return to Europe to pursue a career in academia upon completion of my current PhD. |
| Outside Interests: | In my spare time, I enjoy exercising, poker and reading. I am also currently learning Swedish (since I am planning on moving there to work at some point in the future) |
| Message to Students and/or Parents: |
I believe it is important to learn "why" as well as "how" when doing mathematics, and any assistance I provide to students here or elsewhere will contain information with that aim in mind, as well as the mechanical details of solving the problem.
Not only is this approach more satisfying for most students, but the additional extra time investment originally pays off in the long run with easier future recall and ability to extend and adapt the techniques. |
| Postings Answered: | 129 |
| Cumulative OTA Rating: | 5/5 What is OTA Rating? |
- Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city. - 1. Suppose you are in the market for a new home and are interested in a new housing community under construction in a different city. a) The sales representative informs you that there are two floor ...
- Some algebra questions involving rates - Gaining and losing weight are matters of caloric accounting: Calories in the food you eat minus Calories that you spend in activity. One pound of human body fat contains approximately 3,500 Calories. ...
- Some simple applications of the Cauchy-Goursat theorem - Use the Cauchy theorem to show that the integral around the unit circle |z|=1, traversed in either direction, is zero for each of the following functions: 1) f(z)=z exp(-z) 2) f(z)=tan(z) 3) f(z) ...
- A solution of the wave equation using D'Alembert's solution - Solve the wave equation subject to the initial conditions u(x,0)=sin(x)/(x^2+1), du/dt(x,0)=x/(x^2+1)
- Formulas - See attached Section 9.1, Page 550 108) Comparing wind chills. Through experimentation in Antarctica, Paul Siple developed the formula to calculate the wind chill temperature W (in degrees Fahr ...
- Prove that a compact set is bounded. Prove that if the sequence {xn} converges, than the sequence {IxnI} also converges. - Text Book: - Taylor & Menon 1.) Prove that a compact set is bounded. 2.) Prove that if the sequence {xn} converges, than the sequence {IxnI} also converges. Is the converse true as well?
- Algebraic Structures - Problem #1 Prove that Aut(V)= (S3)and that Aut(S3)= S3. Problem #2 If H and K are normal subgroups of a group G with HK = G. Prove that G/(H n K) = (G/H) x (G/K).
- Serving strategy - see attachment Jane has two tennis serves, a hard serve and a soft serve...What should her serving strategy be?
- Finding the volume of unbounded solids of revolution - (a) Find the volume of the unbounded solid generated by rotating the unbounded region of y=e^(-x) with x>=1 around the x axis (see the attached figure) (b) What happens if y=1/sqrt(x) instead?
- An application of Cauchy's theorem to a non-simple curve - Please see attached file.
- Use Green's function for the first quadrant of R^2 to solve Laplace's equation with boundary conditions. - Please see the attachment for full description.
- Suppose f is differentiable at all x in R. Is it always true that lim x->0 f '(x) exists and equals f '(0)? - Suppose f(x) is differentiable at ALL x in R. Is it always true that lim x->0 f'(x) exists and equals f'(0)?
- Let f be an entire function such that |f(z)|<=A|z|. Use Cauchy's inequality to show that f(z)=az for some complex constant a. - Let f be an entire function such that |f(z)|<=A|z|. Use Cauchy's inequality to show that f(z)=az for some complex constant a. See the attachment for a more complete description of the question and ...
- The function f(z) is entire and Im f <=0. Prove that f is a constant. - The function f(z) is analytic over the whole complex plane and Im f <= 0. Prove that f is a constant.
- A physician order Diuril 250 mgm. The dose on hand is 0.5 grams per tablet. How much will you give? (plus 7 other similar examples) - 1. Convert the following weights to kilograms: • 45 lbs • 88 lbs 2. A physician order Diuril 250 mgm. The dose on hand is 0.5 grams per tablet. How much will you give? 3. A physician orders De ...
- Find the absolute maximum and minimum values of f on the set D - 1.)f(x,y)= 2x^3 + y^4, D={(x,y), x^2 + y^2 less than or equal to 1} 2.)f(x,y)= x^3 - 3x - y^3 + 12y, D is the quadrilateral whose vertices are (-2,3), (2,3), (2,2), and (-2,-2).
- Prove that any closed and bounded subset of R is compact - Prove that any closed and bounded subset of R is compact
- Compact metric space and distance - Here is the question. Let (X,d) be a compact metric space, and let Con(X) denote the set of contraction maps on X. We shall define the distance between two maps f,g which belongs to Con(X) as foll ...
- Does the closure of a union equal the union of the closures? - See attached file.
- Solving the wave equation using separation of variables - See the attachment for the questions.
