Syllabus for MATH 1210-002 Calculus I, Summer 2015 Time and location: M,T,W,H 12:00-13:30, AEB 320 Instructor: Shiu-Tang Li Course webpage: http://www.math.utah.edu/∼li/1210-Sum2015/ (Please type “ ∼ ” by yourself if you copy and paste this link) Email: stazlee@hotmail.com Office hours: M,T,W,H after class, or by appointment Before class starts, please prepare Textbook: Calculus with Differential Equations, 9th edition, by Varberg, Purcell and Rigdon. ISBN: 0-13-230633-6 Important notices for this course Prerequisites: At least a C grade in Math1050 (College Algebra) AND Math1060 (Trigonometry) OR in Math1080 (Precalculus) or an Accuplacer score of 95 on the College Level Math test or at least a 3 on the AB Calculus AP exam. Course description: Math1210, Calculus 1 is a 4-credit semester course. This course includes the following topics: 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. 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. e Use the limit definitions of derivative and definite integral for polynomial, rational and some trigonometric functions; understand definition of continuity. 1 f 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. Grading policy: Homework 20%; Quizzes 10%; Midterm(1)+Midterm(2) 40%; Final 30%. Homework: 20 homework problems are assigned each week. We only check completeness for each homework assignment you turn in. Try to keep your work neat and organized, for the grader to grade your work more easily. Extra credit challenging problem: 1 challenging problem will be assigned each week. Points are only given to completely correct answers. For each weekly problem, if 1-2 people do it correctly, each person will get an additional 1% of the final score. 3-5 people: 0.7%. 6-10 people: 0.5%. 11-15 people: 0.2%. 16 people or more: 0.05% (This means the problem is not challenging at all). I don’t mind you share your answers - that means you’re sharing your points. Quizzes: There will be 5 quizzes. You can work in a group of 1-3 people to finish each quiz. The problems are taken from homework assignments or examples taught in class. Midterms: There’re 2 midterms. The overall midterm score is calculated as follows: (Your higher score ×0.55 + Your lower score ×0.45). If you missed one, then your overall midterm score will be the one you take. If you missed both midterms: you have to provide a proof of absence for at least one of 2 these two midterms, it could be from a doctor if you have a severe cold, a letter from your parents if there’s anything family emergency event, or an e-mail from your coach if you have to participate in contests for our school. In these cases, I’ll make a makeup exam for you, and this makeup exam will be harder. Don’t forget to bring your student ID during exams. Final exam: If you have to do a makeup final, it follows the same rule as makeup midterms. I’ll definitely make the makeup final exam more difficult than the final exam. Extra credit for regularly attending quizzes, classes, or whatever: Up to 2% of the final score. Course grades: Your final letter grade will be determined by your overall percentage as follows: if your overall percentage is x%, then A: 93 ≤ x < 100 A-: 90 ≤ x < 92 B+: 87 ≤ x < 90 B: 83 ≤ x < 87 B-: 80 ≤ x < 83 C+: 77 ≤ x < 80 C: 73 ≤ x < 77 C-: 70 ≤ x < 73 D+: 67 ≤ x < 70 D: 63 ≤ x < 67 D-: 60 ≤ x < 62 E: x < 60 Important dates: Last Day to drop classes: TBA Midterm 1: July 6 Midterm 2: July 27 Final: August 7 Other rules / assistance 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. You 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, collusion, fraud, theft, etc. Students should read the Code carefully and know you are responsible for the content. According to Faculty Rules and Regulations, it is the 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 3 Committee. http://regulations.utah.edu/academics/6-400.php Tutoring: The Rushing Math Center offers free drop-in tutoring, a computer lab, and study areas for undergraduates. The Rushing Student Center is adjacent to the LCB and JWB. The hours for the Fall semester are: 8 am - 8 pm Monday-Thursday and 8 am - 6 pm on Friday. The tutoring center will open the second week of classes. ADA Statement: 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 the class, reasonable prior notice needs to be given to 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 alternative format with prior notification to the Center for Disability Services. 4