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MathematicsMA111H The focus of this course is an introduction to the calculus of functions of a real variable. Derivatives and integrals of functions of one variable are introduced, together with related concepts such as limits and continuity of functions. Applications of the derivative are investigated, and the course culminates with a discussion of the Fundamental Theorem of Calculus, which relates the derivative and the integral. The honors section will also cover some additional topics from the following list: logarithmic differentiation, curve-fitting by interpolation and/or splines, differential equations, and functions of several variables and partial derivatives.
A continuation of MA 111, Calculus I. Together these courses cover most of the traditional topics in single variable calculus. The Honors section of this course includes the addition of two two-week research projects and coverage of more sections of the text. The instructor will maintain high expectations for the students’ contribution to their own learning.
Students will work collaboratively on problems posed in various undergraduate mathematics journals and other sources. Solutions to journal problems will be submitted to the journal editors for acknowledgement and possible publication. Problems are taken from all areas of specialty within mathematics. During the fall semester, students will hae an opportunity to compete in the annual William Lowell Putnam Mathematical Competition. Introductory (125H, for first-year students), intermediate (225H, for sophomores) and advanced (325H, for juniors and seniors) levels will meet concurrently. The course will meet 1-2 hours per week; grades will be on a S/U basis. MA125H prerequisite: QR1, MA225H, MA325H prerequisite: Qr2. MA126H;
MA226H; MA326H Students will work collaboratively on problems posed in various undergraduate mathematics journals and other sources. Solutions to journal problems will be submitted to the journal editors for acknowledgement and possible publication. Problems are taken from all areas of specialty within mathematics. Introductory (126H, for first-year students), intermediate (226H, for sophomores) and advanced (326H, for juniors and seniors) levels will meet concurrently. The course will meet 1-2 hours per week; grades will be on a S/U basis. MA126H prerequisite: QR1, MA226H, MA326H prerequisite: Qr2. |
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design by Prof. Phil Boshoff, Thomas Burke '03, and Rebecca Burnham |
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