Background and Goals: The sequence MATH 115-116-215 is the standard complete introduction to the concepts and methods of calculus. The emphasis is on concepts and solving problems rather than theory and proof.
Content: The course presents the concepts of calculus from four points of view: geometric (graphs); numerical (tables); and symbolic (formulas), and verbal descriptions. Students will develop their reading, writing and questioning skills, as well as their ability to work cooperatively. Topics include functions and graphs, derivatives and their applications to real-life problems in various fields, and an introduction to integration.
Alternatives: MATH 185 (Honors Calculus I) is a more theoretical course which covers some of the same material. MATH 175 (Introduction to Cryptology) is a non-calculus alternative for students with a good command of first-term calculus. MATH 295 (Honors Mathematics I) is a much more intensive and rigorous course.
Subsequent Courses: MATH 116 (Calculus II) is the natural sequel. A student who has done very well in this course could enter the Honors sequence at this point by taking MATH 176 (Explorations in Calculus).
Course Requirements:
Both individual and team homework are assigned.
Intended Audience:
This course is taken by the majority of students intending to major in mathematics, science, or engineering as well as students heading for many other fields.
A student whose preparation is insufficient for MATH 115 should take MATH 105 (Data, Functions and Graphs).
Class Format:
The classroom atmosphere is interactive and cooperative.