Math 115 - Fall 1998
Page Updated: 8/28/98
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- Prerequisites: 3-4 years HS math including trigonometry
- Credit: 4 credits
- Required Text: Calculus by Hughes-Hallett,Gleason,et al,
second edition.
- Background and Goals: The sequence Math 115-116-215 is the
standard complete introduction to the concepts and methods of calculus. It
is taken by the majority of students intending to major in mathematics,
science, or engineering as well as students heading for many other fields.
The emphasis is on concepts and solving problems rather than theory and
proof. All sections are given two uniform midterms and a final exam.
- Content: The course presents the concepts of calculus from three
points of view: geometric(graphs); numerical(tables); and algebraic(formulas).
Students will develop their reading, writing and questioning skills. Topics
include functions and graphs, derivatives and their applications to real-life
problems in various fields, and definite integrals.
- Alternatives:
Math185 (Honors Anal. Geom. and Calc. I) is a somewhat more theoretical
course which covers some of the same material.
Math175 (Combinatorics and Calculus) includes some of the material of
Math115 together with some combinatorial mathematics. A student whose preparation
is insufficient for Math115 should take
Math105 (Data,Functions and Graphs).
- Subsequent Courses:
Math116(Calculus II) is the natural sequence. A student who has done well
in this course could enter the honors
sequence at this point by taking
Math186(Honors Anal. Geom. and Calc.II).
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Copyright © 1997 University of Michigan Department
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