MAC 2312: CALCULU Instructor's Name: Val Mohanakumar ...

MAC 2312 MAC 2312: CALCULUS & ANALYTIC GEOMETRY II Summer 2010 Instructor’s Name: Val Mohanakumar Telephone Number: 253 - 7351 E-mail: [email protected] Webpage: http://www.hccfl.edu/facultyinfo/vmohanakumar/ Office Hours: See my schedule. Location: DSCS 222 Course Intended Outcomes: i.

Hyperbolic functions a) define hyperbolic sine and cosine as functions of ex b) define tanh, coth, sech, and csch as functions of hyperbolic sine and cosine c)

find derivatives of hyperbolic functions

d) define the inverse hyperbolic functions in terms of logarithms e) find derivatives of inverse hyperbolic function functions f) ii.

integrate hyperbolic functions

Techniques of Integration a) integrate by parts b) integrate powers of sine and cosine c)

integrate powers of tangent, secant, cotangent, and cosecant

d) integrate by trigonometric substitution e) integrate rational functions ctions by partial fractions when the denominator contains linear factors and/or quadratic factors f)

general integration strategies and techniques, including the use of integration tables

g) approximate integrals using midpoint, trapezoidal, and Simpson's rules, and estimate the errors associated with these methods h) evaluate improper integrals 3) Applications of Integration a) calculate arc length b) find the area of a surface of revolution

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c)

find moments and centers of mass

d) find hydrostatic force and pressure 4) Parametric Equations and Polar Coordinates a) define curves using parametric equations b) find derivatives of parametric functions c)

use polar coordinates to plot points, graph functions, and find areas and lengths

d) express conic sections in rectangular and polar coordinates e) transformations of conic sections 5) Infinite Sequences and Series a) find formulas for and determine convergence/divergence of infinite sequences and series b) use the integral test, comparison tests, alternating series test, ratio test, and root test to determine convergence/divergence of infinite series. c)

determine absolute or conditional convergence of infinite series

d) determine the radius and interval of convergence for power series e) find power series representations of functions f)

find Taylor and Maclaurin series representations of functions

Text Book: Required : CALCULUS – Early Transcendentals, 6th edition by James Stewart. Supplemental: A graphing calculator is recommended. A TI-83 will be used for classroom demonstrations. Symbolic calculators e.g., TI-89, TI-92) are not allowed on exams. Student Resources: 1. Student Solution Manual 2. Library Reserve: Textbook, Instructor Solutions Manual, and lecture videos 3. Tutoring Center (DLRC 209) 4. www.smartthinking.com: provides live online tutoring

Grading System: Homework: Students will do homework for each section to measure the computational and manipulative objectives of this course. The homework problems are listed on the schedule. If you turn in homework on each test day, you can earn up to 3 points on that test. Work should be shown neatly and clearly. Quizzes: Quizzes (take-home) will be given weekly and graded. Quizzes cannot be made up. The lowest quiz grade will be dropped. Tests: There will be 5 hourly chapter tests. Please keep all the tests with corrections. Final exam questions will be taken from these 5 tests.

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Final Exam: If you take ALL 4 TESTS and the average of all 4 tests is a 90% or higher and the

quiz average is 90% or higher, then you do not have to take the final exam. For those of you who do have to take the final exam, there will be a comprehensive final exam. Final exam plays two roles. If you score higher on the final exam than any of the four exams, then the percentage on the final will replace the percentage of the lowest exam. Cheating will result in an F. Grading: 5 Exams @ 14% each Quizzes Final Exam

70% 10% 20%

A: 90 – 100% B: 80 – 89% D: 60 – 69%

F: below 60%

No makeup exams will be given unless two or more exams are missed, in which case valid excuses are required for EACH missed exam. Any make-up exam must be completed prior to the exams being graded and returned. Only one make-up exam is allowed. No retakes are ever given. Academic Dishonesty Policy: Cheating is not permitted. Any form of academic dishonesty will result in an “F” and may result in HCC disciplinary action. Attendance Policy: Students are expected to attend all classes. A record of attendance will be kept. Unexcused absences in excess of the number of credits may result in the student receiving a failing grade for the class. The student should be aware that, in most circumstances, several absences place an increased burden on the student to successfully complete the course. Arriving late and leaving early are discouraged. When in class please ask questions if there is something you do not understand. Small group conversation creates a disturbance to others and will not be allowed in class. Request for Accommodations: Any student whose disability falls within the American Disabilities Act (ADA) and requires accommodations should contact the Office of Services for Students with Disabilities. The office is located in the Student Service Building Room 204. You may also reach the office by phone at 259-6035. Incomplete: Awarded only upon request of the student, approved by the instructor and confirmed by the division dean. This grade is possible only if over 2/3 of the course work has been completed and is an option only in the case of documented emergencies. See catalog for removal of “ I ” and more details. There are no extra credit problems, no reports or papers for credit. Your grade in the course comes from these tests, quizzes, homework, and the final exam. The last day to withdraw is in the course schedule. WARNING! The F grade will be awarded to students who drop out of the course without filling out the withdrawal form. Cell Phones: Cell phones must be turned off for the duration of the class. Cell phones may not be used as calculators. Please turn off (or put in silent mode) cell phones prior to class and put those out of sight. I will deduct 3 points from your next test score each time I see you “texting” in class. If you answer a phone call during class time, I will deduct 5 points from your next test score.

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My Schedule for Summer 2010. Office Hours are shaded and bolded.

7:30 –8:00 am 8:00 – 9:50 am 9:50 – 10:15 am 10:15 – 12:05pm 12:05 – 12:30 pm

Monday Office Hours DSCS 222 MAC 2312 DSCS 220 Office Hours DSCS 222 MAC 1147 DSCS 220 Office Hours DSCS 222

Tuesday Office Hours DSCS 222 MAC 2312 DSCS 220 Office Hours DSCS 222 MAC 1147 DSCS 220 Office Hours DSCS 222

Last Day to Withdraw: Monday, June 28, 2010.

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Wednesday Office Hours DSCS 222 MAC 2312 DSCS 220 Office Hours DSCS 222 MAC 1147 DSCS 220 Office Hours DSCS 222

Thursday Office Hours DSCS 222 MAC 2312 DSCS 220 Office Hours DSCS 222 MAC 1147 DSCS 220 Office Hours DSCS 222

TENTATIVE SCHEDULE: The following is subject to change at my discretion. I reserve the right to adjust the syllabus to our progress at my time during the course. These problems from the textbook are recommended for additional practice. Date Section Assignments (Every other odd) 5/17 Calculus I Review 5/18 3.11 p259: 1 – 47, Handout 5/19 7.1 p458: 1 – 38 , 5/20 7.2 p465: 1 – 57, 61 5/24 7.3 p472: 1 – 29 5/25 7.4 p481: 1 – 49, 63 5/26 Review 5/27 Test 1 5/31 Holiday 6/01 7.5 p488: 1 – 79 6/02 7.6, p493: 1 – 29 6/03 7.7 p505: 7 – 17, 35, 37, and 39. 6/07 7.8 p515: 1 – 39 6/08 8.1 p530: 3 – 17, 23, and 25 6/09 8.2 p537: 1 – 19 6/10 8.3 p547: 1 – 17, 19 – 35. 6/14 Review 6/15 Test 2 6/16 10.1 p626: 1 – 17, 24 – 28 all 6/17 10.2 p636: 1 – 19, 29 – 33, 37 – 43, 59 6/21 10.3 p647: 1 – 23, 29 – 47, and 57 – 67. 6/22 10.4 p653: 1 – 19, 23 – 41. 6/23 10.5, 10.6 p660: 1 – 47; p668: 1 – 15, 23, and 25. 6/24 Review 6/28 Test 3 6/29 11.1 p684: 3 – 55, 61 – 65 6/30 11.2 p694: 3 – 51. 7/01 11.3 p703: 3 – 25. 7/05 Holiday 7/06 11.4, 11.5 p709: 3 – 35, p713: 3 – 19, 23 – 29. 7/07 11.5, 11.6 p719: 3 – 27, 31 7/08 Review 7/12 Test 4 7/13 11.7, 11.8 p722: 1 – 37, p727: 3 – 25. 7/14 11.8, 11.9 p733: 3 – 11, 15, 17, 23 – 29. 7/15 11.10 p746: 5 – 19, 29 – 35, 47 – 53, and 63 – 67. 7/19 11.11 p755: 3 – 9, 13 – 21. 7/20 Review 7/21 Test 5 7/22 Review for final exam 7/26 FINAL EXAM 7:30 – 10:00 AM.

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