Honors Calculus with Analytic Geometry III

MAC 2313H: Syllabus (1 of 10) Honors Calculus with Analytic Geometry III MAC 2313H. 0201 Spring 2019 Instructor: A. Nevai Meetings: Mon and Wed from 9:00 to 10:50 am in MSB 0109 Website: Department: http://math.nevai.net/courses/mac2313 Mathematics Office: MSB 324 E-mail: Phone: Office Hours: anevai#at#ucf#dot#edu (replace #at# and #dot# with single characters) (see course website) (407) 823-6284 (not a direct line) M 11:30 am 2:00 pm T 9:30 am 10:20 am W 11:30 am 12:20 pm Syllabus This syllabus is a contract between us. Please read it and become familiar with it. Ask if you have questions. Corrections will be announced in class and posted on the course website (with changes in magenta). Course Prerequisites The prerequisites for this course include a grade of C (2.0) or better in MAC 2312, or score of 5 on the Calculus BC Advanced Placement Exam, and permission of Honors. Catalog Description Geometry of higher dimensional Euclidean space; vectors and vector functions; partial derivatives; multiple integrals; line integrals; vector fields; Green s Theorem and Stokes Theorem. Course Description This is a 4-unit class on calculus with analytic geometry. There will be regular homework assignments and quizzes, three midterm exams, and one final exam. We will cover many topics, and we will move quickly. If you work hard in this course, then you will be prepared for many advanced mathematics courses. Page 1 of 10

MAC 2313H: Syllabus (2 of 10) Course Objectives The objective of this course is to master the calculus of (a) vector-valued functions, (b) real-valued functions of several variables, and (c) vector-valued functions of several variables. Learning Outcomes Students will be able to (a) Compute dot products, cross products, vector projections, angles between vectors, and unit vectors. (b) Visualize curves, surfaces and regions in three-dimensional space. (c) Solve problems involving a limit, derivative, integral, arc length, or curvature of a vector function. (d) Compute the unit tangent, unit normal and binormal vectors of a vector function at a point. (e) Find limits, partial derivatives, and directional derivatives associated with multivariable functions. (f) Find a plane tangent to a surface at a point. (g) Compute the extrema of a function of two variables. (h) Calculate double and triple integrals using rectangular, polar, cylindrical and spherical coordinates. (i) Visualize vector fields in three-dimensional space. (j) Evaluate path integrals, line integrals, and surface integrals. (k) Determine if a vector field is conservative on a region. (l) Apply the fundamental theorems of vector calculus, including the fundamental theorem for line integrals, Green s theorem, Stokes theorem, and the divergence theorem. Regular participation, weekly homework sets, weekly quizzes, three midterm exams, and one final exam will assess these outcomes. Drop, Add, and Withdraw The drop deadline is Jan 10, the add deadline is Jan 11, and the withdraw deadline is Mar 20. For late adds, late withdrawals, and medical withdrawals please consult Academic Affairs. Textbook J. Stewart. 2015. Calculus: Early Transcendentals. Eighth edition (UCF special edition acceptable). Cengage. Materials Enhanced WebAssign access code. Page 2 of 10

MAC 2313H: Syllabus (3 of 10) Webcourses Some assignments in this course will be completed on Webcourses@UCF, an online learning management system. Your account can be accessed at https://webcourses.ucf.edu If you experience problems using Webcourses@UCF: 1. Clear your browser s cache 2. Use a different browser 3. Use a different computer 4. Make use of the online help system by clicking Help or visiting https://cdl.ucf.edu/support/webcourses 5. Contact UCF technical support http://www.cst.ucf.edu I cannot provide technical support. WebAssign Some assignments in this course will be completed on WebAssign, an online learning management system. To create an account, follow the step-by-step directions on the course website. There is a 14-day grace period in which you may use WebAssign without purchasing access. If you experience problems using WebAssign: 1. Clear your browser s cache 2. Use a different browser 3. Use a different computer 4. Make use of the online help system by clicking Help or visiting https://webassign.net/manual/student_guide 5. Contact WebAssign technical support https://webassign.com/support/student-support 6. Contact UCF technical support http://www.cst.ucf.edu 7. Visit the UCF Mathematics Assistance and Learning Lab in MSB 241 http://sciences.ucf.edu/math/mall I cannot provide technical support. Page 3 of 10

MAC 2313H: Syllabus (4 of 10) Maxima Maxima is a free computer algebra system. It is free because it respects your freedom to run, copy, distribute, study, change and improve the software. It is also free because it is available at no charge. An example of its usage is below (% i 1 ) x ^4 + x ^3 x 1 ; 4 3 (%o1 ) x + x x 1 (% i 2 ) f a c t o r ( % ); 2 (%o2 ) ( x 1) ( x + 1) ( x + x + 1) You can install Maxima on any computer and most portable devices. It can also be used online. A tutorial to help you get started using Maxima can be found on the course website. Maxima is a powerful tool for doing mathematics and it is recommended that you become familiar with using it as soon as possible. Grading The letter grade you get will depend on your mastery of course material, which is evidenced by your attendance and participation in class (5%); and your performance on homework (5%), quizzes (5%), the three midterm exams (60%), and the final exam (25%). The following grading scale will be in effect: A 90 100 % B+ 86 89 % B 80 85 % C+ 76 79 % C 70 75 % D+ 66 69 % D 60 65 % F 00 59 % For example, a student with 80% of all points is guaranteed at least a B. In order to avoid automatically failing the course, you must score at least 50% of all points in the class and you must score at least 50% of all points on the final exam. Attendance You are expected to attend the full lecture of each class. I may take roll on any day. If you cannot attend class for a legitimate reason, then you must notify me by e-mail at least 24 hours before class begins. If you do not submit such advance notice, then your absence will be considered unexcused. If a legitimate emergency arises, and you cannot notify me in advance, then you must submit supporting documentation, including proof of travel, upon your return. Page 4 of 10

MAC 2313H: Syllabus (5 of 10) Participation Your participation grade consists of various factors. Be on time. Stay alert. Be respectful to your classmates and to me. Answer your share of the questions that I pose to the class. Do not maintain discussions about material unrelated to the course. Do not work on outside activities during class. If you plan on asking questions from the book, then bring it (or a photocopy) to class. Do not bring distracting materials to class. Silence all noise-making devices. Avoid frequent restroom breaks. If you disrupt the ability of your classmates to learn, you will be asked to leave and you will be reported to the dean of the college. Reading Please do the reading from the book before the material is covered in class. If you do so, then you will ask better questions, take better notes in class, and you will perform better in the course. Notes It is your responsibility to take notes in lecture or to obtain them from a classmate afterward. To avoid getting lost it is recommended that you review these notes prior to attending the next lecture. Permission to record lectures in any audio or video format (and this includes cell phone images) must be obtained in advance. Homework The best way to succeed in this class is to do all of the assigned homework in a timely manner. Homework assignments will appear regularly on WebAssign. You are responsible for creating an account (see the step-by-step directions on the course website) and for checking your account on a regular basis. You may use any computer at home or on campus to complete your homework. Homework problems can be attempted up to 10 times. The last submitted answer will be graded. You must submit your homework online and on time regardless of the status of your computer or its network connection (for troubleshooting tips, see the WebAssign section above). Your two lowest homework scores will be dropped. You are also strongly encouraged to attempt odd-numbered problems (skipping calculator-based parts) in the book for every section that we cover. It is understood that you will attempt these problems immediately after the material has been covered in class and before the next lecture. These latter problems will not be submitted for a grade. Quizzes The quizzes are short online exams that test your understanding of recent material. They can be accessed at Webcourses@UCF. You may use any computer at home or on campus. Each quiz can be attempted once. You must submit your quiz online and on time regardless of the status of your computer or its network connection (for troubleshooting tips, see the Webcourses section above). Your two lowest quiz scores will be dropped. Page 5 of 10

MAC 2313H: Syllabus (6 of 10) Midterm Exams The three midterm exams will be held in class on Mon, Feb 4th; Wed, Mar 6th; and Mon, Apr 8th (tentatively). If time permits, unstructured in-class review sessions may be provided prior to the midterm exams. Final Exam The final exam will be held from 7:00 9:50 am on Wed, Apr 24th. It is comprehensive, with an emphasis on material after the third midterm exam. Exam Policies All exams are to be taken without books, notes, or calculators. Make-up exams will not typically be given. Personal travel plans, medical reasons, and personal or family emergencies are not valid reasons for requesting a make-up exam. University related absences and court-imposed legal obligations may be eligible for special scheduling although these arrangements must be made at least one week prior to the assessment date. Office Hours You are welcome to attend my weekly office hours but I ask that you prepare in advance. Before you arrive, write down on a piece of paper your specific questions regarding class material or homework problems. Be sure to write down exactly what you don t understand from lecture or where you get stuck on a problem and why. Bring these questions together with your course notes and textbook. Vague questions such as How do I do problem xx? will not be answered. If you miss a class, then please know that in office hours I will not repeat or summarize lecture material (so obtain notes from a classmate instead). Please do not bring your skateboard or bike into my office. Math Success Center (or Math Lab) If you need extra help, tutors are available in the Math Success Center. It is located in MSB 113 and the hours this semester are Mon from 10 am to 7 pm, Tue Thu from 9 am to 7 pm, Fri from 9 am to 3 pm, and Sun from 2 pm to 6 pm. Visit https://sciences.ucf.edu/math/mathlab for more information. Page 6 of 10

MAC 2313H: Syllabus (7 of 10) E-mail If you e-mail me, then send it only to the address shown on the course website and use the following format: Subject: MAC 2313H: Topic (subject line) Dear Professor Nevai (sample salutation), Write your message here using complete sentences. Best regards (sample closing), Your name If you send your message to a different address or deviate from the format above (e.g., if u wrt yr msg lk ths) then I may not respond. Schedule Week 1 12.1, 12.2, 12.3 Week 2 12.3, 12.4, 12.5 Week 3 12.5, 12.6 No class Monday (MLK day) Week 4 13.1, 13.2, 13.3 Midterm 1 Exam (Mon, Feb 4) Week 5 14.1, 14.2 Week 6 14.2, 14.3, 14.4 Week 7 14.5, 14.6, 14.7 Week 8 15.1, 15.2, 15.3 Week 9 15.6 Midterm 2 Exam (Wed, Mar 6) Spring Break Week 10 15.6, 15.7, 15.8 Week 11 16.1, 16.2, 16.3 Week 12 16.3, 16.4, 16.5 Midterm 3 Exam (Mon, Apr 8) Week 13 16.6 Week 14 16.7, 16.8 Week 15 16.9 Final Exam (Wed, Apr 24) Page 7 of 10

MAC 2313H: Syllabus (8 of 10) Tentative List of Individual Topics three-dimensional coordinate systems the dot product equations of lines and planes vector functions and space curves arc length and curvature functions of several variables partial derivatives the chain rule maximum and minimum values double integrals over rectangles double integrals over general regions applications of double integrals triple integrals triple integrals in spherical coordinates vector fields the fundamental theorem for line integrals curl and divergence surface integrals the divergence theorem vectors the cross product cylinders and quadric surfaces derivatives and integrals of vector functions motion in space: velocity and acceleration (if time permits) limits and continuity tangent planes and linear approximations directional derivatives and the gradient vector Lagrange multipliers (if time permits) iterated integrals double integrals in polar coordinates surface area (if time permits) triple integrals in cylindrical coordinates change of variables in multiple integrals (if time permits) line integrals Green s theorem parametric surfaces and their areas Stokes theorem Financial Aid Requirement There is a short academic activity for you to complete on Webcourses@UCF. The deadline to complete this administrative assignment is Friday at 5 pm during the first week. Failure to complete this activity on time may result in a delay in the disbursement of your financial aid. Course Materials Like the plays of William Shakespeare and the music of Ludwig van Beethoven, the mathematics in this course is in the public domain and therefore belongs to everyone. For more information, visit https://en.wikipedia.org/wiki/public_domain The specific presentation of mathematics in this course is sometimes not in the public domain. For example, some materials in this course are protected by outside copyright (e.g., the textbook, assignments in the online learning management systems, and so on). All other materials in this course are copyrighted by me (as indicated by ). All non-examination course materials (e.g., lecture notes and material posted online) are released to you under the Creative Commons Attribution Non-Commercial Share Alike 4.0 International license (CC BY-NC-SA 4.0). Basically, you can use and modify lecture notes for personal growth and study and you can freely share them with each other for the same purpose, but you cannot sell them for personal gain or post them on commercial websites. Visit https://creativecommons.org/licenses/by-nc-sa/4.0 for more information. Examination materials (i.e., materials used to establish your grade) may not be reproduced or redistributed in any manner whatsoever, in whole or in part, without my express written permission. Page 8 of 10

MAC 2313H: Syllabus (9 of 10) Religious Policy I will accommodate within reason the religious observances, practices, and beliefs of individuals in regard to admissions, class attendance, and the scheduling of assignments and examinations. If you plan to observe a religious holy day then you must notify me in writing during the first week to be excused from class on that day. Appropriate documentation for your request will be needed. Academic Integrity Academic dishonesty will not be tolerated. I will seek to prevent unethical behavior and respond to infringements of academic integrity when needed. Disciplinary action will be taken in response to such behavior. Penalties can include a failing grade on an assignment, in a content area, or in the course, and a Z Designation on your official transcripts indicating academic dishonesty (the final grade for this course will be preceded by the letter Z). In addition, further disciplinary action through the university may be taken and could result in suspension or expulsion. Visit these websites http://www.goldenrule.sdes.ucf.edu http://osc.sdes.ucf.edu/process/roc http://wpacouncil.org/node/9 [The Golden Rule] [Rules of Conduct] [Defining and Avoiding Plagiarism] for more information. Student Accessibility Policy The University of Central Florida is committed to providing reasonable accommodations for all persons with disabilities. Students who need accommodations must be registered with Student Accessibility Services before requesting accommodations. Visit http://sas.sdes.ucf.edu for more information. Deployed Active Duty Military Students Deployed active duty military students who need special accommodation due to that unique status should contact me to discuss the circumstances. Campus Safety Statement Emergencies on campus are rare, but if one should arise during class, everyone needs to work together. Students should be aware of their surroundings and familiar with some basic safety and security concepts. 1. In case of an emergency, dial 911 for assistance. 2. Every UCF classroom contains an emergency procedure guide posted on a wall near the door. 3. Students should make a note of the guide s physical location and review the online version at http://emergency.ucf.edu/emergency_guide.html Page 9 of 10

MAC 2313H: Syllabus (10 of 10) 4. Students should know the evacuation routes from each of their classrooms and have a plan for finding safety in case of an emergency. 5. If there is a medical emergency during class, students may need to access a first-aid kit or AED (Automated External Defibrillator). To learn where they are located (e.g., MSB 2nd floor lobby), visit http://www.ehs.ucf.edu/aedlocations-ucf 6. To stay informed about emergency situations, follow these steps (a) Log in to https://my.ucf.edu (b) Select Student Self Service Personal Information UCF Alert (c) Enter your information (including e-mail address, cell phone number, and cell phone provider) (d) Click Apply to save the changes (e) Click OK 7. Students with special needs related to emergency situations should speak with me outside of class. 8. To learn how to manage an active-shooter situation on campus or elsewhere, visit https://youtu.be/nikyajex4pk Page 10 of 10