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:
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 AssignmentsJan 10 / 6.1 Area between curves
6.2 Volumes / 6.1:1,3,5,6,9,13,15,23,31,48,51,53
6.2:1,2,6,711,13,19,21-23,25-31,49-51
Jan 12 / 6.3 Volumes by cylindrical shells / 6.3:1-5,8,9,17-19,21a,23a,24a,37-41
Jan 17 / 6.4 Work
6.5 Average value of a function / 6.4:1,3,4,8,12,14,18,23
6.5:1,5-7,10,19
Jan 19 / 7.1 Integration by parts / 7.1:1,3,5-9,11,12,18,23,
26,29,30,58
Jan 24 / 7.2 Trigonometric integrals / 7.2: 1-6, 13-29 (odd), 30, 31, 33-35, 41, 43, 46-49
Jan 26 / 7.3 Trigonometric substitution / 7.3: 1-3, 5, 6, 9, 12, 13, 19, 24, 28, 29, 31, 32
Jan 31 / 7.4 Integration by partial fractions
7.5 Strategy for integration / 7.4: 1, 2(b), 3(a), 6, 7, 9, 11, 16, 17, 25, 26, 28, 33, 39, 41, 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
7.8 Improper integrals / 7.7: 7-19(odd), 30
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 14 / 8.1 Arc length
8.2 Area of a surface of revolution / 8.1: 1, 2, 7-9, 10, 12, 15, 17, 31, 35, 37
8.2:1(a),3(a), 5, 7, 10, 11, 13, 15, 25, 26
Feb 16 / 8.3 Applications / 8.3: 1, 3-5, 10, 12, 14, 17, 21, 23, 25, 27, 29-32
Feb 21 / 10.1 Parametric equations / 10.1:1,3,5-8,11-17(odd),
19,24,28,34(a)
Feb 23 / 10.2 Calculus of parametric curves / 10.2:1-3,5,7,11,13,17,29,34,
41,51,61
Feb 28 / 10.3 Polar coordinates
10.4 Areas and lengths / 10.3:1-13,15-33(odd),54,55,57,61
10.4:1-9,17,19,23,29,31,37,41,45,47
Mar 2 / Test 2
Mar 14 / 11.1 Sequences / 11.1: 5,7,9,10,12,14,17-19, 21-23, 31-33, 37, 39, 45, 46, 52, 67, 69
Mar 16 / 11.1 Sequences
Mar 21 / 11.2 Series / 11.2: 15-17, 21-25, 27,28, 33-35, 37-39, 47, 49, 52, 55
Mar 23 / 11.3 The integral test / 11.3: 1,3, 5, 7, 8, 11-13, 15, 16, 19, 21-23, 25, 27, 29, 40
Mar 28 / 11.4 Comparison tests
11.5 Alternating series / 11.4: 3-11, 16, 17, 21, 30
11.5: 5-10, 14
Mar 30 / 11.6 Absolute convergence / 11.6: 2-5, 10, 11, 14, 15, 17, 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 / 11.8 Power series / 11.8: 3-10, 13-15, 17, 19, 20, 24, 26, 31
Apr 13 / 11.9 Representations of functions / 11.9: 3, 4, 6, 7, 13, 14, 32, 35
Apr 18 / 11.10 Taylor series / 11.10:5-37(odd),43,47
Apr 20 / 11.11 Applications / 11.11:13(a),(b),19(a),(b),33
Apr 25 / Reading day
Apr 29 / Final Exam / 4-6:30pm
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 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/
.