Course title/number, number of credit hours



Syllabus Course title/number, number of credit hours Course Title: Calculus with Analytic Geometry 3 Term: Spring 2020 Classroom location PS 111 WFnoon-1:50 pm Is this an online course: Yes ___ or No _x__ Credit hours 4 CRN(optional): 11811 Course number: MAC 2313 006 Course prerequisites or corequisites Course number: MAC 2282 Pre-requisites Course Title: Calculus for Engineers 2 --or-- Course number: MAC 2312 Pre-requisites Course Title: Calculus with Analytic Geometry 2 Permission of the instructor is required: Yes ___ or No _x__ Instructor contact information Instructor: Frederick Hoffman Office: SE 212A Office Hours: WF 10:00-10:50 am and by appointment. Office Phone: (561) 297-3345 E-mail Address: hoffman@fau.edu TA contact information (if applicable) TA: Maxime Murray Office: MLC GS 211 Office Phone: (561) 297-3340 Office Hours WF2-4pm in MLCEmail Address: mmurray2016@fau.edu Course description Continuation of MAC 2312 Vector space, dot product, length, cross product, curves in space; functions of several variables: differentiability, gradient, tangent planes, differential approximation, surfaces, optimization with constraints, multiple integrals, theorems of Green, Stokes and Gauss. 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 3: Vector spaces Curves and surfaces in three dimensions Calculus of functions of several variables Optimization of functions of several variables Theorems of Green, Stokes and Gauss . IFP General Education Outcomes: Knowledge in several different disciplines; The ability to think critically; The ability to communicate effectively; An appreciation for how knowledge is discovered, challenged, and transformed as it advances; and An understanding of ethics and ethical behavior. Information available at General Education: This course satisfies, in part, the general education requirements for Foundations of Mathematics and Quantitative Reasoning: Topical Outline Date Topics HW Assignments Jan 15 12.1 3D Coordinates 12.2 Vectors 12.1 1, 4, 5, 7, 9, 10, 12, 13, 15, 18, 19, 22, 29, 37, 39, 40, 45 12.2 3, 5, 8, 10, 15, 17, 18, 25, 29, 30, 32, 42, 45 Jan 17 12.3 Dot Product 12.4 Cross Product 12.3 1, 4, 6, 9, 11, 15, 24, 26, 33, 37, 40, 42, 46, 49, 51 12.4 4, 6, 8, 9, 13, 17, 19, 29, 25, 37, 39 Jan 22 12.5 Eqns of Lines & Planes 12.5 1, 2, 5, 9, 11, 31, 32, 41, 46, 51, 57, 59, 65, 69, 71 Jan 24 12.6 Cylinders, Q. Surfaces 12.6 3, 5, 7, 11, 13-14, 20, 22, 24-26, 29-30, 33, 35-36, 46, 48 Jan 29 13.1 Vector Functions 13.2 Derivatives, Integrals 13.1 2, 3, 7, 15, 18, 21, 31, 32, 42, 48, 49 13.2 3, 11, 18, 19, 21, 24, 26, 29, 32, 33, 37, 39, 40, 47, 49 Jan 31 13.3 Arc Length, Curvature 13.3 5, 11, 18, 22, 30, 32, 47, 67 Feb 5 13.4 Motion in Space 13.4 3, 5, 6, 8, 9, 20, 23, 29, 45 Feb 7 Test 1 Feb 12 14.1 Functions 14.1 2, 7, 9, 15, 28, 29, 32, 36, 43, 53, 55, 61-66, 67, 71, 80 Feb 14 14.2 Limits, Continuity 14.3 Partial Derivatives 14.2 6, 8, 9, 21, 25, 29, 30, 32, 35, 37, 39 14.3 3, 5, 7, 11, 16, 20, 24, 32, 36, 47, 54, 56, 63, 68, 76, 83 Feb 19 14.4 tangent Planes 14.5 Chain Rule 14.4 2, 3, 4, 11, 18, 21, 22, 25, 31, 33, 40, 43 14.5 2, 4, 5, 6, 8, 12, 21, 22, 27, 35, 37, 38, 43, 44, 51 Feb 21 14.6 Directional Derivatives 14.7 Maximum, Minimum 14.6 1, 11, 14, 16, 19, 21, 23, 29, 34, 45, 49, 52 14.7 3, 6, 15, 25, 37, 41, 43, 45, 47, 53, 54 Feb 26 14.8 Lagrange Multipliers 13.1 Double Integrals 14.8 1, 4, 6, 17, 18, 22, 35, 39, 42, 45 15.1 1, 3, 5, 6, 7, 10, 14, 16, 18, 29, 32, 37, 38, 42, 47, 49 Feb 28 15.2 Double Integrals 2 15.3 Double Integrals 3 15.2 2, 5, 8, 13, 22, 25, 32, 45, 62, 65 15.3 2, 5, 9, 15, 16, 19, 20, 24, 27, 32, 37 Mar 4 15.4 Applications 15.4 1, 2, 5, 11, 12, 16, 23, 27 Mar 6 Test 2 Mar 18 15.6 Triple Integrals 15.6 4, 8, 11, 13, 18, 20, 21, 25, 27, 31, 35, 39, 40, 52, 54 Mar 20 15.7 Triple Integrals 2 15.7 2, 5, 6, 9, 12, 15, 17, 23, 25, 29 Mar 25 15.8 Triple Integrals 3 15.8 2, 4, 5, 8, 10, 13, 15, 18, 20, 21, 24, 25, 29, 30, 36, 41 Mar 27 15.9 Change of Variables 15.9 2, 4, 6, 9, 13, 15, 16, 17, 18, 23, 24 Apr 1 16.1 Vector Fields 16.2 Line Integrals 16.1 1, 5, 6, 8, 13, 15, 23, 24, 26, 28, 29-32, 33, 34 16.2 1, 4, 10, 11, 17, 19, 21, 29, 30, 33, 35, 39, 42, 45 Apr 3 16.3 Fundamental Theorem 16.3 2, 3, 6, 7, 11, 12, 15, 19, 23, 25, 33, 34 Apr 8 16.4 Green’s Theorem 16.4 1, 6, 7, 12, 13, 14, 17, 19, 24 Apr 10 Test 3 Apr 15 16.5 Curl, Divergence 16.5 3, 7, 9, 12, 13, 14, 17, 19, 20, 23, 25, 31, 32 Apr17 16.6 Parametric Surfaces 16.7 Surface Integrals 16.6 2, 3, 4, 5, 13-18, 19-23, 25, 29, 33, 37, 39, 41, 47-49, 58 16.7 5, 7, 14, 17, 18, 23, 26, 28, 29, 31, 40, 45, 47 Apr 22 16.8 stokes Theorem 16.8 2, 7, 10, 17, 18 Apr 24 16.9 Divergence Theorem 1, 5, 7, 9, 12, 15, 17, 18, 19, 21, 23, 24 May 2 Final Examination 10:30an-1:00pm Included course topics are subject to reasonable changes at the discretion of the instructor. The online assignments in WebAssign (Class key: fau 0660 1483).are an option for the benefit of the students. The online grading system will not be used to assign grades to students. Instead, there will be quizzes in most class sessions, and these will be used to evaluate the students’ mastery of the homework material. Use this link to get more information or to register ? Course evaluation method Homework and best 75% of quizzes: 20% 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 Calculators and other electronics Students may use electronic textbooks during class; no other use of cellphones, tablets or computers is permitted; cellphones must be silenced. If you are using an online form of the text, or your notes, please let me know; otherwise put your electronics away. Calculators, but not graphing calculators, or other calculators that can integrate, may be used on tests and quizzes. Do not give answers as decimal approximations, unless they are asked for. 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. If you miss all or part of a class for reasons not considered to be legitimate, do not expect answers from the instructor to questions which were answered in your absence. If you leave class early, you may have points deducted from your quiz score. 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. 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: Drop-in tutoring in the SAM LAB (Succeed At Methods) in GS207 during all hours of operation ALL METHODS TUTORING is done in the SAM Lab except on Sundays. On Sundays, please visit the MLC as the SAM Lab is closed. Monday – Thursday: 10am – 5pm and Friday: 10am – 4pm Drop-in tutoring in the MLC GS211 during all hours of operation Monday – Thursday: 10am – 5pm, Friday: 10am – 4pm, and Sunday: 1pm – 5pm Drop-in tutoring in the Residence Halls Get Wise in Glades Park Tower (GPT 102): Monday – Thursday: 5pm – 9pm Parliament (Library): Monday – Thursday: 5pm – 9pm RESIDENTS ONLY: Floor Lounges in Indian River Towers (2nd Floor Loft) and Heritage Park Towers (HPT Classroom): Monday – Thursday: 6pm-9pm Small group tutoring by appointment Appointments for the MLC and SAM Lab can be made in TutorTrac. Go to 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 mlc@fau.edu and request an appointment. Online tutoring in College Algebra and Methods of Calculus via Skype for Business Find scheduled times and courses here: Required text Stewart, J. (2015). Calculus: Early Transcendentals (8th ed.). or Multivariable Calculus (8th ed) Cengage (Boston). Classroom Etiquette Please refer to the FAU Code of Conduct available at . 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 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 Counseling and Psychological Services Life as a university student can be challenging physically, mentally and emotionally. Students who find stress negatively affecting their ability to achieve academic or personal goals may wish to consider utilizing FAU’s Counseling and Psychological Services (CAPS) Center. CAPS provides FAU students a range of services – individual counseling, support meetings, and psychiatric services, to name a few – offered to help improve and maintain emotional well-being. For more information, go to ................
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