In this course, students learn how to discover mathematics. Many students incorrectly believe that much of mathematics is the result of divine inspiration but nothing could be further from the truth. Students learn that the first step in discovering mathematics is experimentation. Using trial and error and intuition, students experiment until they recognize a pattern. In this course, students take a more detailed look at the ideas from single variable calculus.
Students are active learners.
They present proofs on the board, they critique other students' proofs, and they lead class discussions. Topics in the course include sequences, limits, continuity, differentiation, and integration.