M12002 Anal Geom and Calc I

M12002

Analytic Geometry and Calculus I

$pyramid.gif$	When & Where 2:15-3:40, MWF Fall 2011 104 Smith Hall	$pyramid.gif$	Instructor Hassan Allouba email: allouba@math.kent.edu 205 Math & Sci. Bldg.

$pyramid.gif$	Text Books ACP Essential Calculus with Extra Problems [Paperback] By James Stewart (Author).	$pyramid.gif$	Office Hours T: 3:30-5:00 (in my office) W: 3:40 - 5:10 (in my office) Remote (online) OH's T: 5:30-6:30 W: 5:30-6:30

$pyramid.gif$	Grading Policy 3 Exams (drop the lowest): 100/3 pts each. Final: optional if you don't drop one of the previous three (100/3 points) HW. (Assigned regularly on this page)	$pyramid.gif$	Schedule Of Events TEST 1: TBA TEST 2: Thursday, April 7th TEST 3: Thursday, May 28th Final (Due 5:00 PM, Wed Dec 14) LAST CLASS, last test, & Final Exam: REGISTRATION INFORMATION: Information can be found at this web site. It is important that everyone registers in time, otherwise late registration fees may have to be paid; click here for further details. Last day to add and be certain not to pay a late fee is August 29(?); last day to drop is September 11, and last day to withdraw is November 6. Plagiarism, i.e., presenting someone else's work as your own is discussed here. This includes finding the answer of a homework problem in a book or in someone else's assignment, and copying it. Plagiarism, of course, is unacceptable. STUDENTS WITH DISABILITIES: will be provided reasonable accommodations to ensure their equal access to course content. Futher information can be found at this web site.

$pyramid.gif$	Tests Solutions SOLUTIONS FOR TEST 1 Posted here after exam has been given SOLUTIONS FOR TEST 2 Posted here after exam has been given SOLUTIONS FOR TEST 3 Posted here after exam has been given	$pyramid.gif$	Outline & References Course Outline Functions, sequences and limits: definitions and rules Continuity: definition, rules and applications Differential calculus: the derivative (definition, rules, and applications) Antideivative: definitions, rules and applications Integrals and their relation to derivatives (The Fundamental Theorem of Calc) Evalutaion techniques for integrals Some Applications of integral calculus Syllabus and homework assignments: A weekly detailed syllabus is available here. The syllabus will be updated every week. Week1: Intro and motivation. Functions and their imverse: definition, domain, and range Week2-3: Inverse Functions: definition, domain, and range with the connections of f to f^-1, sequences, limits (definitions, techniques, and examples), and continuity (definitions, techniques, and examples), Logs and exponentials, Week4-5: Limits as n,x-->infinity and applications to interest compounded continuously, horizontal and vertical asymptotes, indetermiminate limits, Properties of continuous functions, IVT and applications, the derivative (definition, slopes, and rates of change) Week 6: Continuing rules and techniques of differentiation (Chain, the derivative of f^-1 from that of f and the log derivative, [f(x)]^g(x)). Review for Test I. week 7-8: Optimization (critical points and local optima, first and second derivative tests, and absolute optima). Linear and higher order polynomial approximations Week 9-12: Antiderivatives (Precise definition), Antiderivatives Rules (Anti-Chain, Anti-Power-Chain, Anti- product (integration by parts) and its quick version in special cases, antiderrivative of inverse trig functions, by trig substitution, and antiderivative by partial fractions.) Week 13: Finishing off antiderivative by partial fractions, start Riemann Sums and definite integral, and review for test II. Homeworks: In addition to every HW, you should rework all the examples given in class and review the definitions HW1a and HW1b (Due Wed Sep 28) HW2a and HW2b up to prob 3 only (Due Monday, Oct 10) HW3a (Pronlem 4 ONLY), HW3b (Problem 3 ONLY) , HW3c (PB 1,2, and 5 ONLY) (due Wed, Oct 26). HW4a HW4b (except Problem 7)