Description: The sequence Math 115-116-215 is the standard complete introduction to the concepts and methods of calculus. It istaken 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 includete chniques of integration.

Text:DeborahHughes-Hallett,AndrewGleason, et al.:
Calculus: Single Variable, 4^th Edition,Wiley, 2005

Calculator:TI-84 Graphing Calculator or equivalent. If you have another model,you will be responsible for knowing how to operate the calculator onyour own.

Course Content:

• Exam 1 (25% of grade) — 5.1–5.4, 6.1, 6.2, 6.4, 7.1-7.5, 7.7, 7.8
  (Note: section 7.3 is considered only lightly, and from section 7.4 only long-division and simple partial fractions (non-repeated linear terms) are covered.)
• Exam 2 (35% of grade) — 4.8, 8.1–8.5, 8.7, 8.8, 9.1–9.4
• Final Exam–Cumulative! (40% of grade) — 9.5, 10.1–10.3, 11.1–11.7, and all of Exam 1 and Exam 2 material.

[Note: The above sections may be modifiedduring the semester--particularly with respect to the actual sectionscovered on a particular exam. The Final Exam iscomprehensive.]

On all exams, standard graphing calculators are allowed. Problems willbe written with the expectation that these calculators will beused. More powerful calculators must be approved. Students are allowed both sides of one 3'' by 5'' card for each exam.

Grading Policy:All sections of Math 116 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 will be primarily determined by the exam component grade for each student. However, for some students, the final course grade may be modified by the section component grade or the gateway exams. See theStudent 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 maybe taken many times, but no more than twice per day.

Prerequisites: Math 115

Credit: 4 credits

Student Body: Primarily Freshmen and 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. Math156 (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 takingMath285 (Honors Analytic Geometry and Calculus III) or the corresponding Applied Honors Course,Math255.