are some examples of ideas.
Topic: Number Theory. Suptopics: The Riemann
Hypothesis. Fermat's Last Theorem.
Broad Topic: Neural Networks and Genetic Algorithms Subtopic: Application to a specific problem
Broad Topic: Graph Theory. Subtopics: The Map Coloring Problem. The Traveling Salesperson Problem.
Broad Topic: The Least Squares Problem. Subtopics: Linearization of Nonlinear Problems. Bezier Curves, Spline Curves, and their applications to Computer Graphics.
Broad Topic: The Central Limit Theorem. Subtopics: Alternative Proofs of the Central Limit Theorem (Using Fourier Transforms). Implications of the Central Limit Theorem.
Broad Topic: Artificial Intelligence, Fuzzy Logic, Fuzzy Set Theory.
Broad Topic: Eigenvectors and Eigenvalues. Subtopics: Applications to Differential Equations. Applications to Markov Processes.
Broad Topic: Differential Equations. Subtopics: Numerical methods for solving D.E. --Variations on Euler's Method.
Broad Topic: Taylor Series Approximations. Subtopics: Applications of Taylor Series Approximations.
Broad Topic: Game Theory. Subtopics: Zero-Sum Games.
Broad Topic: Numerical Approximation of Integrals. Subtopics.
Broad Topic: Prime Numbers. Subtopics: Mersenne Primes
Broad Topic: Probabilistic Algorithms. Subtopics: Probabilistic Algorithms applied to ...
Topic: Fractals, Dynamics and Chaos Theory.
Subtopics: The Lorenz Attractor.
Broad Topic: Numerical Methods in Linear Algebra. Subtopics. Ill-conditioned Systems. Singular Value Decomposition. QR Decomposition.
Broad Topic: Probability. The Weak and Strong Law of Large Numbers.