In this course, we will take a more rigorous look at the limit, the integral, and how they interact. This will give us the background to explore Fourier series and possibly Fourier integrals. Fourier series are fundamental in the study of many differential equations, such as the wave equation and the heat equation. Format: lecture. Evaluation will be based on performance on homework and exams. Prerequisite: Mathematics 105 and 211, or permission of instructor. No enrollment limit (expected: 25). This is a quantitative/formal reasoning course.