Math 1210 - 4 Calculus I August 21, 2015 Credit Hours: Four Meeting Time: M, T W, F 11:50 AM - 12:40 PM in JWB 335 Homepage: http://www.math.utah.edu/~treiberg/M2271.html Instructor: Prof. A. Treibergs, JWB 224, 581 - ­8350. Office Hours: MTF 12:45 AM - 1:45 PM (tent.) & by appt. E-mail: treiberg@math.utah.edu Prerequisites: "C" or better in ((MATH 1050 AND MATH 1060) OR MATH 1080) OR AP Calculus AB score of 3 or better OR Accuplacer Text: Calculus with Differential Equations, by Varberg, Purcell and Rigdon, 9th edition. ISBN: 0-13-230633-6 Course Description: Functions and their graphs, differentiation of polynomial, rational and trigonometric functions. Velocity and acceleration. Geometric applications of the derivative, minimization and maximization problems, the indefinite integral, and an introduction to differential equations. The definite integral and the Fundamental Theorem of Calculus. Course Outline Chapter Topic Number of Lectures 1/0 (1.1 , 1.3-1.6 & 0.7) Limits & Quick Trig Review 10-12 2 (2.1 - 2.9) The Derivative 10-13 3 (3.1 - 3.8) Applications of the Derivative 10-13 4 (4.1 - 4.5) The Definite Integral 7-10 5 (5.1 - 5.6) Applications of the Integral 6-10 Expected Learning Outcomes Upon successful completion of this course, a student should be able to: Take limits of algebraic and trigonometric expressions of the form 0/0 (that simplify), non-zero number over 0, including limits that go to (positive or negative) infinity, limits that don't exist and limits that are finite. Use the limit definitions of derivative and definite integral for polynomial, rational and some trigonometric functions; understand definition of continuity. Differentiate all polynomial, rational, radical, and trigonometric functions and compositions of those functions; perform implicit differentiation and compute higher order derivatives. Use differentiation to find stationary, singular and inflection points, as well as domain and limit information to determine vertical and horizontal asymptotes, and then use all of that information to sketch the graph of a curve, y = f(x). Apply differentiation to optimization and related rates problems. Compute indefinite and definite integrals, using the power rule and basic u-substitution and the Fundamental Theorems of Calculus. Apply the definite integral to compute area between two curves, volumes of solids of revolutions, arc length, surface area for surfaces of revolution and center of mass. Teaching and Learning Methods: Material will be presented in lectures and read from the text and other sources. Students will solidify their learning by solving internet-based WeBWorK problems assigned weekly. They will also hone technical writing skills by handing in weekly homework. Significant time will be devoted to working homework problems in class. Students should read todays section before coming to class. Evaluation Methods and Grading Homework: To be assigned weekly. Tentatively, homework will be due Fridays. Papers turned into the graders ??? mailbox in the math mail room (JWB 228) by ??? PM Fridays before she leaves will be regarded as being turned in on time. Homework that is late but not more than one week late will receive half credit. Homework that is more than one week late will receive no credit at all. WeBWorK: To be assigned weekly. Students will have a week to answer questions in the internet based system WeBWorK. This system tells the student immediately if the answer is correct and will keep accepting answers until they are. Students will be given accounts for the WeBWorK system in the first week. Exams: Exams will be closed book. Your text, notes, homework papers, calculators laptops, tablets, phones, text messaging devices, and other books will not be allowed. Midterms: There will be three in-class one-hour midterm exams on Wednesdays Sept. 9, Oct. 7 and Nov. 11. Final Exam: Mon., Dec. 14, 10:30 AM - 12:30 PM. Half of the final will be devoted to material covered after the third midterm exam. The other half will be comprehensive. Students must take the final to pass the course. Course grade: Best 2 of 3 midterms 40% + HW 15% + WeBWork 15% + final 30%. Grades will be assigned "on the curve." Withdrawals: Last day to register is Aug. 30. Last day to drop class is Sept. 4. Until Oct. 23 you can withdraw from class with no approval at all. After that date you must petition your dean's office to be allowed to withdraw. ADA: The University of Utah seeks to provide equal access to its programs, services and activities for people with disabilities. If you will need accommodations in this class, reasonable prior notice needs to be given the Center for Disability Services, 162 Olpin Union Building, 581-5020 (V/TDD). CDS will work with you and the instructor to make arrangements for accommodations. All information in this course can be made available in alternate format with prior notification to the Center for Disability Services (www.hr.utah.edu/oeo/ada/guide/faculty/) Faculty and Student Responsibilities: All students are expected to maintain professional behavior in the classroom setting, according to the Student Code, spelled out in the Student handbook. Students have specific rights in the classroom as detailed in Article III of the Code. The Code also specifies proscribed conduct (Article XI) that involves cheating on tests, plagiarism and/or collusion, as well as fraud, theft, etc. Students should read the Code carefully and know they are responsible for the content. According to the Faculty Rules and Regulations, it is faculty responsibility to enforce responsible classroom behaviors, beginning with verbal warnings and progressing to dismissal from class and a failing grade. Students have the right to appeal such action to the Student Behavior Committee. Faculty must strive in the classroom to maintain a climate conductive to thinking and learning (PPM 6-316). Students have a right to support and assistance from the University in maintaining a climate conducive to thinking and learning (PPM 6-400). Note: The syllabus is not a binding legal contract. It may be modified by the instructor when the student is given reasonable notice of the modification.