MATH 221: SPRING 2015 BRIAN COOK, VAN VLECK 319, OFFICE HOURS: 10-11 MWF (AND BY APPOINTMENT) Important Dates: Exam One: Wednesday, Feb. 25th Exam Two: Wednesday, April 15th Final Exam: Thursday, May 14th: Location TBA Spring Recess: Saturday, March 28th — Sunday, April 5th Last Day of Class: Friday, May 8th Grading Exam One: %25 Exam Two: %25 Final Exam: %30 Homeworks (Online): %10: this will be essentially be weekly and online. Quizzes: %10: to be done in the recitation sessions. Course Text The text can be found at http://www.math.wisc.edu/ rkent/221.Text.with.answers.pdf. Supplementary texts can be found in the library, and in general any text from the last 50+ years contains enough relevant material to be of use for extra guidance. Course Content Coordinates, lines, circles Functions and graphing, trig functions Limits, intuitively and with an idea of how they can be formalized, including limits at infinity and infinite limits, trig limits 1 2 BRIAN COOK, VAN VLECK 319, OFFICE HOURS: 10-11 MWF (AND BY APPOINTMENT) Derivatives, Chain rule, Leibniz notation, higher order derivatives, implicit differentiation, related rates, approximations Applications of the derivative Antiderivatives, indefinite integrals and introduction to differential equations Sums, areas and the definite integral. Fundamental Theorem of Calculus. Integration by substitution, applications of the integral: areas and volumes. Transcendental functions, limits involving logs, exp and powers. Optional: Hyperbolics functions. Exam policies: The exams will be 50 minutes in class on the dates posted above. There will be no make up exams given. If a student has a documented valid reason for missing a midterm exam, then the grade from the final exam will replace the missing exam grade. No student should miss the final. Academic Honesty: This course will adhere to the academic policies set forth by the university. While it is encouraged that students interact with one another, the work submitted by any student is intended to be the intellectual work of said student. If this is indeed not the case, then the reader may consult http://students.wisc.edu/doso/docs/UWS14.pdf for possible procedures and outcomes. Students With Needs: Any student with documented special needs please see the instructor as soon as possible. My email: My email address is bcook@math.wisc.edu. Email is not a very good way to discuss mathematics, so if you have a question let us try to discuss it in person.