Miscellaneous

             may be a useful source of senior thesis topics (not all in Algebra).

1. Geometric constructions (using Abstract Algebra to prove the impossibility of squaring the circle, doubling the cube, trisecting the angle)

2. Sylow theorems

3. The axiom of choice and some of its equivalent forms

4. Ordered integral domains

5.  Structure of finite (or finitely generated) abelian groups

6. Perron-Frobenius theorem (and some of its applications)

7. Singular value decomposition 

8. Pell's equations

9. Quadratic reciprocity law

10. Some applications of Linear Algebra (e.g. Leontief economic model, linear codes)  

11. Proofs of the fundamental theorem of algebra 

12. Geometry of numbers (and its application to show that every positive integer is the sum of 4 squares) 

13. Unsolvability of the quintic (this could be combined with Topic # 1) 

14. Elliptic curves (and applications to certain Diophantine equations)

15. Grobner bases 

16. Noetherian and Artinian rings

17. Einstein's special theory of relativity: a Linear Algebra approach (a good treatment is in the Linear Algebra textbook by Friedberg, Insel and Spence)

http://archives.math.utk.edu/visual.calculus/

http://www.stewartcalculus.com/media/3_inside_chapters.php?show_cat=2

http://www.calculus.org/

http://www.freemathhelp.com/calculus-help.html

http://homelink.cps-k12.org/teachers/canteys/calculusdrill.html

http://math.about.com/od/calculus/Calculus_Tutorials_Lessons.htm

http://www.ugrad.math.ubc.ca/coursedoc/math100/

http://www.sosmath.com/calculus/calculus.html

http://web.mit.edu/wwmath/calculus/index.html

http://www.youtube.com/watch?v=Lb8QrUN6Nck