Miscellaneous
The link http://www.middlebury.edu/academics/ump/majors/math/courses/thesis/lists.htm
may be a useful source of senior thesis topics (not all in Algebra).
Several topics for senior projects/theses in Algebra, Number Theory, and related areas
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)
Thee following web links may be found useful for students:
http://archives.math.utk.edu/visual.calculus/
http://www.stewartcalculus.com/media/3_inside_chapters.php?show_cat=2
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