Course Title/Number, Number of Credit Hours s1

Syllabus

Course title/number, number of credit hours Course Title: Calculus with Analytic Geometry 2 Term: Spring 2018 Classroom location PS 113 WF 2-3:50pm Is this an online course: Yes ___ or No _x__ Credit hours 4 CRN(optional): 39274 Course number: MAC 2312

Course prerequisites or corequisites Course number: MAC 2281 Pre-requisites Course Title: Calculus for Engineers 1 --or-- Course number: MAC 2311 Pre-requisites Course Title: Calculus with Analytic Geometry 1 Permission of the instructor is required: Yes ___ or No _x__

Instructor contact information Instructor: Frederick Hoffman Office: SE 212A Office Hours: WF 1:00-1:55pm (not on test days) Office Phone: (561) 297-3345 E-mail Address: [email protected]

TA contact information (if applicable) N/A Course description:Continuation of MAC 2311. Techniques of integration, partial fractions, area, volume, work, analytic geometry, Taylor approximations, sequences and series, polar coordinates and parametric equations. Course objectives/student learning objectives Upon successful completion of the course the student will be able to solve problems in the following areas and achieve the quantitative skills required for courses requiring calculus 2: 1. Apply antiderivatives to compute the area between curves, the volume of solids of revolution, arc length of curves, moments, centers of mass, and the motions of bodies. 2. Find antiderivatives by any of the standard techniques of integration. 3. Understand the conceptual foundations of limit and the area under a curve, and their application to other disciplines. 4. Apply the process of mathematical modeling to other disciplines and real-world problem situations, using a variety of functions. 5. Understand parametric and polar representations of functions and graphs and their applications. 6. Apply any of the standard convergence tests to determine the convergence of a series, and compute the radius of convergence of a power series. 7. Determine the Taylor series expansion of a function, use it for numerical approximations, and compute an error bound for the approximations.

IFP General Education Outcomes: 1. Knowledge in several different disciplines; 2. The ability to think critically; 3. The ability to communicate effectively; 4. An appreciation for how knowledge is discovered, challenged, and transformed as it advances; and 5. An understanding of ethics and ethical behavior. Information available at http://www.fau.edu/deanugstudies/NewGeneralEdCurriculum.php

General Education: This course satisfies, in part, the general education requirements for Foundations of Mathematics and Quantitative Reasoning: http://www.science.fau.edu/student_services/student_info_gen_edu.php Course topical outline Date Topic HW Assignments Jan 6.1 Area between curves 6.1:1,3,5,6,9,13,15,23,31,48,51 10 6.2 Volumes ,53 6.2:1,2,6,711,13,19,21-23,25- 31,49-51 Jan 6.3 Volumes by cylindrical 6.3:1-5,8,9,17- 12 shells 19,21a,23a,24a,37-41 Jan 6.4 Work 6.4:1,3,4,8,12,14,18,23 17 6.5 Average value of a function 6.5:1,5-7,10,19 Jan 7.1 Integration by parts 7.1:1,3,5-9,11,12,18,23, 19 26,29,30,58 Jan 7.2 Trigonometric integrals 7.2: 1-6, 13-29 (odd), 30, 31, 24 33-35, 41, 43, 46-49 Jan 7.3 Trigonometric substitution 7.3: 1-3, 5, 6, 9, 12, 13, 19, 24, 26 28, 29, 31, 32 Jan 7.4 Integration by partial 7.4: 1, 2(b), 3(a), 6, 7, 9, 11, 31 fractions 16, 17, 25, 26, 28, 33, 39, 41, 7.5 Strategy for integration 43, 46, 48, 50, 51, 57, 58 7.5: 1, 2, 5, 9, 13-21(odd), 22, 24, 36, 39, 44, 45, 65, 68, 73 Feb 2 7.7 Approximate integration 7.7: 7-19(odd), 30 7.8 Improper integrals 7.8: 2(a), 2(b), 3, 5, 6, 8, 13, 15, 16, 18, 24, 28, 31, 49-55 Feb 7 Review for Test1 Feb 9 Test 1 Feb 8.1 Arc length 8.1: 1, 2, 7-9, 10, 12, 15, 17, 14 8.2 Area of a surface of 31, 35, 37 revolution 8.2:1(a),3(a), 5, 7, 10, 11, 13, 15, 25, 26 Feb 8.3 Applications 8.3: 1, 3-5, 10, 12, 14, 17, 21, 16 23, 25, 27, 29-32 Feb 10.1 Parametric equations 10.1:1,3,5-8,11-17(odd), 21 19,24,28,34(a) Feb 10.2 Calculus of parametric 10.2:1-3,5,7,11,13,17,29,34, 23 curves 41,51,61 Feb 10.3 Polar coordinates 10.3:1-13,15- 28 10.4 Areas and lengths 33(odd),54,55,57,61 10.4:1- 9,17,19,23,29,31,37,41,45,47 Mar 2 Test 2 Mar 11.1 Sequences 11.1: 5,7,9,10,12,14,17-19, 21- 14 23, 31-33, 37, 39, 45, 46, 52, 67, 69 Mar 11.1 Sequences 16 Mar 11.2 Series 11.2: 15-17, 21-25, 27,28, 33- 21 35, 37-39, 47, 49, 52, 55 Mar 11.3 The integral test 11.3: 1,3, 5, 7, 8, 11-13, 15, 16, 23 19, 21-23, 25, 27, 29, 40 Mar 11.4 Comparison tests 11.4: 3-11, 16, 17, 21, 30 28 11.5 Alternating series 11.5: 5-10, 14 Mar 11.6 Absolute convergence 11.6: 2-5, 10, 11, 14, 15, 17, 30 18, 23, 29-32, 38(a)

Apr 4 11.7 Strategy for testing series 11.7:1-11,13,14,16,19,23,27, 32-38

Apr 6 Test 3 Apr 11.8 Power series 11.8: 3-10, 13-15, 17, 19, 20, 11 24, 26, 31 Apr 11.9 Representations of 11.9: 3, 4, 6, 7, 13, 14, 32, 35 13 functions

Apr 11.10 Taylor series 11.10:5-37(odd),43,47 18 Apr 11.11 Applications 11.11:13(a),(b),19(a),(b),33 20 Apr Reading day 25 Apr Final Exam 4-6:30pm 29 Included course topics are subject to reasonable changes at the discretion of the instructor. There will be some change in exercises. Students who purchase WebAssign access will be given similar online assignments. The WebAssign option is just that, an option for students. WebAssign performance will not be used in grading.

Course evaluation method Best 75% of quizzes: 20% [This is how student performance on homework is assessed.] Average of Tests 1, 2, 3: 45% Comprehensive final Exam: 35% Course grading scale Cumulative performance Grade ≥90 A 87-89 A- 83-86 B+ 80-82 B 77-79 B- 73-76 C+ 60-72 C 50-59 D <50 F

Policy on electronics Scientific calculators will be permitted on quizzes and tests, except as announced. Graphing calculators are not permitted. Cell phones may not be used as calculators on tests or quizzes. During lectures, students may, if they wish to, access the text as an ebook, using a pc or smart phone. Other use of computers and smart phones is prohibited. Policy on attendance, makeup tests and incompletes Regular attendance is expected, including active involvement in all class sessions, and professional conduct in class. Students are responsible for arranging to make up work missed because of legitimate class absence, such as illness, family emergencies, military obligation, court-imposed legal obligations, or participation in university- approved activities. It is the student's responsibility to notify the instructor prior to any anticipated absence, and within 24 hours after an unanticipated absence. Makeup quizzes will not be given. Makeup tests and exams will be given only under circumstances which coincide with university policy (see link below under attendance). If you miss an exam, you must provide a written, verifiable excuse, if possible in advance of the scheduled exam. Approval for a makeup exam must be obtained from your instructor. http://www.fau.edu/academic/registrar/catalog/academics.php#policiesall Incompletes are only given according to University policy.

Tutoring FREE MATH TUTORING for FAU students: The MLC provides the following FREE academic support services for FAU students:

1. Drop-in tutoring in the SAM LAB (Succeed At Methods) in GS207 during all hours of operation a. ALL METHODS TUTORING is done in the SAM Lab except on Sundays. On Sundays, please visit the MLC as the SAM Lab is closed. b. Monday – Thursday: 9am – 6pm and Friday: 9am – 4pm

2. Drop-in tutoring in the MLC GS211 during all hours of operation a. Monday – Thursday: 9am – 6pm, Friday: 9am – 4pm, and Sunday: 1pm – 5pm

3. Small group tutoring by appointment a. Appointments can be made in TutorTrac. Go to https://tutoring.fau.edu and log in with your FAU ID and password and click on ‘Search for Availabilities.’ For Center, choose SAM Lab for Methods of Calculus and Math Learning Center for everything else. Choose your Section (Class) and click ‘Search.’ Choose your time and then click ‘Save.’ If there are no appointments listed for your course, please email [email protected] and request an appointment. 4. eTutoring (remote online tutoring) a. Find the schedule at http://www.math.fau.edu/mlc/remote/index.php

Required text Stewart, J. (2016). Calculus: Early Transcendentals (8th ed.). Cengage Learning (Boston, MA). Classroom Etiquette

Please refer to the FAU Code of Conduct available at http://www.fau.edu/regulations/chapter4/4.007_Student_Code_of_Conduct.pdf.

Honor Code

Students at Florida Atlantic University are expected to maintain the highest ethical standards. Academic dishonesty is considered a serious breach of these ethical standards, because it interferes with the university mission to provide a high quality education in which no student enjoys an unfair advantage over any other. Academic dishonesty is also destructive of the university community, which is grounded in a system of mutual trust and places high value on personal integrity and individual responsibility. Harsh penalties are associated with academic dishonesty. For more information, see University Regulation 4.001 at http://www.fau.edu/ctl/4.001_Code_of_Academic_Integrity.pdf

FAU Accessibility Services In compliance with the Americans with Disabilities Act (ADA), students who require special accommodation due to a disability to properly execute coursework must register with FAU Student Accessibility services (SAS) and follow all SAS procedures. In Boca Raton, SU 133 (561-297-3880); in Davie, MOD 1 (954-236-1222); in Jupiter, SR 117 (561-799-8585); or at the Treasure Coast, CO 128 (772-873-3305). ASA website at http://www.fau.edu/ .