About this course:

• For professionals in informational sciences and students requiring additional mathematical background for doctoral programs. Provides an introduction to mathematics at an advanced level and introduction to advanced topics in computer science.
• Deeply understand analytic arguments, using such common notions as epsilon/delta, infinite sums, and limits, and expand this to include such considerations for more general spaces than the real numbers, such as spaces of functions;
• Develop a basic understanding of measure theory and use it to study the Lebesgue integral;
• Deeply understand basic algebraic and discrete notions, such as facts about vector spaces and counting arguments, and expand this to include ideas about rings and fields; and
• Develop an understanding of the fundamentals of computer science and the application of mathematics to computer programming and/or software engineering.