MATH-UA 328 Honors Analysis I
4 points. Fall term only.
Course Description
This is an introduction to the rigorous treatment of the foundations of real analysis in one variable. It is based entirely on proofs. Students are expected to know what a mathematical proof is and are also expected to be able to read a proof before taking this class. Topics include: properties of the real number system, sequences, continuous functions, topology of the real line, compactness, derivatives, the Riemann integral, sequences of functions, uniform convergence, infinite series and Fourier series. Additional topics may include: Lebesgue measure and integral on the real line, metric spaces, and analysis on metric spaces.
Prerequisites
Students must earn grades of A- or higher in the following two prerequisite courses:
- MATH-UA 123 Calculus III or MATH-UA 133 Math for Economics III
- Alternative: MATH-UA 129 Honors Calculus III with a grade of B+ or higher
- MATH-UA 140 Linear Algebra
- Alternative: MATH-UA 148 Honors Linear Algebra with a grade of B+ or higher
Anti-requisite
- MATH-UA 325 Analysis