Background and Goals: Most students take calculus in high school, and it may seem that there isn't much new to learn. The goal of this course is to develop the familiar concepts of calculus using a more rigorous and theoretical approach. In particular, with its emphasis on how to use appropriate mathematical language, this course lays a solid foundation for future math courses, and is suitable for students intending to pursue a major in mathematics, science, or engineering who desire a more complete understanding of the underpinnings of calculus. Considerable attention is paid to developing problem solving skills. This sequence is not restricted to students enrolled in the LSA Honors Program.

Content: Topics covered include functions, graphs, continuity, limits, derivatives, and integrals. Tuesday meetings are usually devoted to introducing linear algebra.

Alternatives: MATH 115 (Calculus I) is a less theoretical course which covers much of the same material. MATH 295 (Honors Mathematics I) gives a much more theoretical treatment of much of the same material.

Subsequent Courses: MATH 186 (Honors Calculus II) is the natural sequel.