The History of Mathematics 3rd edition by Katz
You are required to write a final paper instead of taking a proctored final exam. This paper will focus on the last two modules of the course. As a reminder, these two modules deal with modern mathematics from the Renaissance to the Nineteenth Century.
Choose a mathematical topic listed below. Discuss at least five different theorems for each topic. You must indicate the following:
The mathematician who created the theorem.
The idea behind the theorem.
An example you would use to show students, if you are teaching a lesson on this topic.
The Mathematical Topics
Algebraic Symbolism in Elementary Algebra
Algebraic Symbolism in Intermediate Algebra
Solving Polynomial Equations
Complex Numbers
Basic Probability Laws and Calculations
Statistical Inference and Hypothesis Testing
Conic Sections
Theory of Equations in Precalculus
Limits in Calculus
Derivatives
Integrals
Fundamental Theorem of Calculus
Power Series
Vector Spaces
Solutions of Ordinary Differential Equations
Groups in Abstract Algebra
Algebraic Numbers and Fields in Abstract Algebra
Projective Geometry
Set Theory in Advanced Calculus
Final Paper Outline
You are required to submit a 2-page outline of your final paper that describes the mathematical topic you will research on. You should also include the name of the mathematician, the theorem, and at least two resources you have found. The outline will count 20% of your grade of the final paper (or 6% of your final grade).
