Syllabus

Course title/number, number of credit hours

Course Title: Calculus with Analytic Geometry 2

Term: Summer 1, 2016 Classroom location: SC 179 MW 1-3:10pm

Is this an online course: Yes ___ or No _x__ Credit hours 4

CRN(optional): 51447 Course number: MAC 2312 02

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: MW 3:15-4:15pm 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, numerical integration, 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
May 16 / 6.1 Velocity and net change
6.2 Regions between curves / 6.1:7, 11,19,21,23,25,31,35,51,57
6.2:7,13,15,17,23,27,31,37,49,53
May 18 / 6.3 Volumes by slicing
6.4 Volumes by cylindrical shells / 6.3:7,11,17,21,25,29,33,37,43,45,57,63
6.4 7,13,1723,29,33,35,43,61
May 23 / 6.5 Length of curves
6.6 Surface area / 6.5 5,11,15,29,33
6.6 9,11,17,23,33
May 25 / 6.7 Physical applications
6.10 Hyperbolic functions / 6.7 13,17,19,23,27,29,37,43,
6.10 17,19,23,31,35,37
Jun 1 / 7.1 Basic approaches
7.2 Integration by parts / 7.1 17,21,23,27,33,37,45,47,49,57,61
7.2 9,15,21,25,29,33,37,45,47,49,51,57
Jun 6 / 7.3 Trigonometric integrals
7.4 Trigonometric substitution / 7.3 13,15,19,23,29,33,37,41,49,59,65
7.4 7,11,15,17,21,25,29,33,35,39,43,49,51,57,53
Jun 8 / 7.5 Integration by partial fractions
7.6 Strategy for integration / 7.5 7,11,15,19,23,29,33,37,39,41,45,47,63,65,83
7.6: 63,79,81
Jun 13 / 7.7 Numerical integration
7.8 Improper integrals / 7.7: 11,13,15,1729
7.8: 7,9,13,15,19,23,25,29,33,35,43,47,49,51,55
Jun 15 / Review for Exam 1
Jun 20 / Exam 1
Jun 22 / 8.1 An overview of series
8.2 Sequences / 8.1: 9,15,19,21,25,29,31,33,37,43,45,47,49,55,61,65,75,77
8.2 :9,11,15,17,19,21,23,27,31,39,45,49,53,55,57
Jun 27 / 8.3 Infinite series
8.4 Divergence and integral tests / 8.3: 7,11,17,19,23,25,29, 37,39,55,57,59,61,67,71,95
8.4 9,13,17,19,23,27,29,31,33,37,41,47,51,53,55,57
Jun 29 / 8.5 Ratio, root and comparison tests / 8.5 9,11,15,17,19,21,25,27,29,33,37,39,41,43,45,47,49,51,53,55,57,65
Jul 6 / 8.6 Alternating series / 8.6 11,13,17,19,23,25,27,29,31,33,39,45,47,49,51,53,55,57,65
Jul 11 / 9.1 Approximating functions
with polynomials / 9.1 13,19,25,29,33,41,45,49,51,55,59,61,67,69,75
Jul 13 / 9.2 Properties of power series / 9.29,11,13,17,19,21,25,27,29,31,35,37,39,41,43,45,47,49,51,57,59
Jul 18 / 9.3 Taylor series / 9.3 9,11,13,15,23,25,29,33,41,45,49,53,57,59,63,65,67,73
Jul 20 / 9.4 Working with power series
Review / 9.4 7,9,13,17,19,23,25,37,43,45,47,55,57,59,61
Jul 25 / Exam 2
Jul 27 / 10.1 Parametric equations
10.2 Polar coordinates / 10.1 11,15,17,23,25,29,35,39,45,61,83
10.2 15,1723,25,27,33,37,49,51,63,79,89,91
Aug 1 / Calculus in polar coordinates / 10.3 21,25,27,35,55,57
Aug 3 / Final Exam

Included course topics are subject to reasonable changes at the discretion of the instructor.

Course evaluation method

Average of best 15 of daily quizzes: 20%

Average of Exams 1 and 2: 40%

Comprehensive final Exam: 40%

Course grading scale

Cumulative performance / Grade
≥90 / A
87-89 / A-
83-86 / B+
80-82 / B
77-79 / B-
70-76 / C+
60-69 / C
50-59 / D
<50 / F

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 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

For tutoring resources, visit http://www.math.fau.edu/MLC/

Required text

W. Briggs, L. Cochran, B. Gillett (2015). Calculus: Early Transcendentals (2nd ed.). Pearson Education, 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/regulations/chapter4/4.001_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/sas/

.