MAT103
Franklin College
Erich Prisner
homepage of
MAT103 College Algebra
Writing Component
You have to write one research paper of about three pages length on a
mathematical subject related to the topics we cover in class. Each student is
assigned a topic from the list below. The topics vary in mathematical
difficulty, so check with me when you have made a choice whether I consider this
topic appropriate for you. You have to give me a first draft two weeks after you
have chosen the topic, a second draft one week after the first draft, and the
paper two more weeks later, so overall you have five weeks for the whole
project.
For some of the topics you need sources, for some you don't. If you use
sources, please cite and quote correctly and completely, also internet sources.
A good but brief introduction for writing research papers (based on the MLA
Handbook for Writers of Research Papers) can be found here.
Read also Stephen
B Maurer's notes and Stephen
L. Kleiman's notes for writing mathematical papers.
For the technical side, note that Word contains a formula editor.
List of topics
- Triangle inside square
- A work word problem
- A puzzle leading to several equations with several unknowns
- (Addition method) is not possible this semester!
- (A thermostat word problem) is not possible this
semester!
- Shoelaces
- A family of radical equations
- Addition puzzle
- Composition of piecewise defined functions
- Number of variables versus number of equations
- The inverse function of a composed function
- (Traveling salesman problem) is not possible this semester!
- Radio station problem
- Finding the better fence
- Finding the better fence II
- Solving cubic equations
- T-Shirt production
- The complex plane
- Composition of functions I
- Composition of functions II
- A polynomial of high degree
- Mixture problem I
- Mixture problem II
- Two boats on the river
- (The invention of logarithms) is not possible this
semester!
- (Proofs in Mathematics) is not possible this
semester!
- Triangular mixture problem
- (The old liar) is not possible this semester, but
have a look on the solution!
- Integer zeros of a polynomial
- (Inequalities)
is not possible this semester!
- The old liar II
- (Benjamin Franklin and magic squares)
is not possible this semester!
- A cinema word problem
- Sharing Coconuts
- (Arabian Algebra)
is not possible this semester!
- Tartaglia, Cardano, and the cubic and quartic formula
- Abel and the impossibility of the quintic formula
- Placing Restaurants
- Upstream-Downstream-Upstream
- Mixture Problem III
- Absolute Value
- Absolute Value and two variables
- Triangle inside square II
- Page Rank I
- Page Rank II
- Folding Paper
- Factoring a polynomial
- Factoring a polynomial II
- Production
- ........
- ........
- ........
- ........
The grading will be based on
- Mathematical knowledge (Does the student understand the mathematics
necessary to treat the problem? Is the mathematical treatment correct?)
- Organization (Are the ideas presented in a logical and structured way?
Does the student make an attempt to explain formulas or result in a
nontechnical way? Is there an appropriate introduction and conclusion?)
- Mechanics (This addresses spelling, grammar, word choice, citing
correctly, and so on)
- Originality (Does the student show original and independent thoughts on
the topic? Is he or she maybe discussing generalizations? You can get 5
extra credit points here.)