M12002 Anal Geom and Calc I

M12002

Analytic Geometry and Calculus I

$pyramid.gif$	When & Where 2:15-3:40, MWF Fall 2011 104 MSB	$pyramid.gif$	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 in 205 MSB M: 12:55-2:15 and 4:40-5:40 W: 3:40 - 5:40

$pyramid.gif$	Grading Policy 2 Tests (drop the lowest): 50 pts each. Final (50 points): optional if you don't drop one of the previous two. I'll drop the lowest of the three if you take the final. HW. (Assigned regularly on this page and/or class)	$pyramid.gif$	Schedule Of Events TEST 1: TBA TEST 2: Last day of class Final Thursday May 7th. LEARNING OUTCOME of this course can be found through the link https://cmsprod.uis.kent.edu/CAS/Math/undergraduate/course_descriptions.cfm REGISTRATION REQUIREMENT: The official registration deadline for this course is January 25, 2015. University policy requires all students to be officially registered in each class they are attending. Students who are not officially registered for a course by published deadlines should not be attending classes and will not receive credit or a grade for the course. Each student must confirm enrollment by checking his/her class schedule (using Student Tools in FlashFast) prior to the deadline indicated. Registration errors must be corrected prior to the deadline. The last day to withdraw is March 22, 2015. Other important Registrar dates can be found at http://www.kent.edu/registrar/calendars/index.cfm. STUDENT ACCESSIBILITY POLICY: University policy 3342-3-01.3 requires that students with disabilities be provided reasonable accommodations to ensure their equal access to course content. If you have a documented disability and require accommodations, please contact the instructor at the beginning of the semester to make arrangements for necessary classroom adjustments. Please note, you must first verify your eligibility for these through Student Accessibility Services (contact 330-672-3391 or visit www.kent.edu/sas for more information on registration procedures). ADMINISTRATIVE POLICY AND PROCEDURES REGARDING STUDENT CHEATING AND PLAGIARISM: University policy 3342-3-01.8 deals with the problem of academic dishonesty, cheating, and plagiarism. None of these will be tolerated in this class. The sanctions provided in this policy will be used to deal with any violations. If you have any questions, please read the policy at http://www.kent.edu/policyreg/policydetails.cfm?customel_datapageid_1976529=2037779 and/or ask. Schedule Of Events .

$pyramid.gif$	Tests Solutions Posted here after Tests have been given SOLUTIONS FOR TEST 1 SOLUTIONS FOR TEST 2	$pyramid.gif$	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-end: Riemann Sums and definite integral, areas, and volume of revolution and review. Homeworks: In addition to every HW, you should rework all the examples given in class and review the definitions HW1a and HW1b () HW2a and HW2b HW3a (Pronlem 4 ONLY), HW3b , HW3c (). HW4a HW4b ()