Description: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 headed for many other fields. The emphasis is on concepts and solving problems rather than theory and proof. Math 116 presents the concepts of calculus from four points of view: geometric, numerical, algebraic, and verbal. Students develop their reading, writing, and questioning skills. Topics include techniques of integration, applications of integration, taylor series, and differential equations. Please see also the detailed description of topics.

Text: Deborah Hughes-Hallett, Andrew Gleason, et al.:
Calculus: Single Variable, 4^th Edition, Wiley, 2005

Calculator: TI-83 Graphing Calculator or equivalent. If you have another model, you will be responsible for knowing how to operate the calculator on your own.

Course Content:

• Exam 1 (25% of grade) Review from Chapters 5-6, 7.1, 7.2, 7.3, 7.5, 7.7, 7.8, 3.8, 8.1, 8.2
• Exam 2 (35% of grade) 8.3, 8.5, 8.6, 8.7, Chapter 9, Chapter 10
• Final (40% of grade) New sections: 11.1-11.8. This exam is cumulative.

[Note: The above sections may be modified during the semester--particularly with respect to the actual sections covered on a particular exam The Final Exam is comprehensive.]

Grading Policy:All sections of Math 115 use the same grading guidelines to standardize the evaluation process. The three uniform exams are worth 25%, 35%, and 40% of the "Exam component" of each student's grade. The final course grade may differ from the exam component by at most 1/3 of a letter grade, and this difference will depend on the relationship between the exam component and the rest of the student's work (team homework, quizzes, etc). See the Student Guide for a complete explanation.

Gateway Exams: There will be two gateways. The first reviews differentiation and the second is on techniques of integration. Students will lose a third of a grade (on their grade for the course) for failing to pass the first gateway and a third of a grade for failing to pass the second. Gateways are administered in the gateway lab (B069 EH) and may be taken many times, but no more than twice per day, with exceptions as announced by the instructors.

Prerequisites: Math 115

Credit: 4 credits

Student Body: Freshmen, Sophomores

Frequency: This course is offered Fall (I), Winter (II), Spring (IIIa), and Summer (IIIb)

Alternatives: Math 186 (Honors Anal. Geom. and Calc. II) is a somewhat more theoretical course which covers much of the same material. Math 156 (Applied Honors Calculus II) also covers much of the same material using MAPLE and emphasizing applications to science and engineering.

Subsequent Courses: Math 215 (Calculus III) 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 285 (Honors Anal. Geom. and Calc. III) or the corresponding Applied Honors Course, Math 255.