SPING 2016 MATH 2730.006 Multivariable Calculus TR 6:30PM–7:50PM @ SAGE 329 Cheng Chang chengchang@my.unt.edu math.unt.edu/chengchang GAB 409 Office Hours: TBD Course Description: Vectors and analytic geometry in 3-space; partial and directional derivatives; extrema; double and triple integrals and applications; cylindrical and spherical coordinates. Prerequisite(s): MATH 1720. Text(s): Calculus 2nd Edition by Briggs and Cochran (Make sure your copy does NOT say Early Transcendentals on the front cover). UNT Blackboard (https://learn.unt.edu): All homework assignments, class notes and exam reviews will be posted on Blackboard. You can also access your grades and all announcements on Blackboard. Grade Distribution: Exam 1 Exam 2 Exam 3 Homework Final Exam 20% 20% 20% 20% 20% (Comprehensive, replaces the lowest midterm exams.) Letter Grade Distribution: >= 90.00 80.00 - 89.99 70.00 - 79.99 A B C 60.00 - 69.99 <= 59.99 D F Course Policies: • Attendance and Absences – Attendance is expected of all students (ON TIME). If a student is unable to attend, it 1 is his/her responsibility to contact the instructor to obtain assignments. – Student may be administratively dropped from the course for nonattendance with a grade of WF. Six or more absences constitute nonattendance. • Academic Dishonesty – Refer to the following university site for the official policy with regards to academic dishonesty. The web site is: http://vpaa.unt.edu/academic-integrity.htm • Homework – Homework Assignments will be posted on Fridays on Blackboard Learn. – All homework problems will be from the textbook and will be due on Thursdays during lecture classes. Please staple your assignment. – Late homework will not be accepted. • Exams – There will be 3 midterm exams and a comprehensive final exam. – The final exam will replace one of the lowest 3 midterm exams. – Final Exam Date and Time: Tuesday, May 10 2016, 6:30pm—7:50pm. – Make up exams will not be given for any reason. A test may be taken prior to the scheduled date. – Final exam can be exempted. If you have a class average (Exam 1,2,3 and homework assignments) of more than 90/100 as of May 3rd , and have less than 4 unexcused absences, you will be given an A for the course. Disability Accommodations: The University of North Texas makes reasonable academic accommodation for students with disabilities. Students seeking accommodation must first register with the Office of Disability Accommodation (ODA) to verify their eligibility. If a disability is verified, the ODA will provide you with an accommodation letter to be delivered to faculty to begin a private discussion regarding your specific needs in a course. You may request accommodations at any time, however, ODA notices of accommodation should be provided as early as possible in the semester to avoid any delay in implementation. Note that students must obtain a new letter of accommodation for every semester and must meet with each faculty member prior to implementation in each class. For additional information see the Office of Disability Accommodation website at http://www.unt.edu/oda. You may also contact them by phone at 940.565.4323. Teaching Evaluation: The teaching evaluation is a requirement for all organized classes at UNT. This short survey will be made available to you at the end of the semester, providing you a chance to comment on how this class taught. More information will be given near the end of the semester. MATH LAB: UNT math department provides tutoring services to all students who are currently enrolled in MATH 2730. For more details, refer to the website www.math.unt.edu/mathlab. The UNT Math Lab is located in GAB 440, the Spring 2016 schedule will be: Monday through Thursday: 7:00am to 8:00pm Friday: 7:00am to 4:00pm 2 Saturday: 12:00pm to 4:00pm MathLab Closed: March 14 - 19, 2016 (Spring Break) May 6, 2016 (Reading Day) The MathLab is also closed Sundays and during Finals week. Please keep in mind that the MathLab hours change each semester. Summary of Key Dates Spring 2016: • January 18, 2016: MLK Day (university closed) • January 15 - 22, 2016: Student-requested schedule changes may be made during add/drop. • January 19, 2016: First class day • January 22, 2016: Last day for change of schedule other than a drop. (Last day to add a class.) • February 2 - April 5, 2016: Student may drop a course with written consent of instructor. • February 26, 2016: Last day for change in pass/no pass status. • February 26, 2016: Last day to drop a course or withdraw from the university with a grade of W for courses a student is not passing. After this date a grade of WF may be recorded. • February 27 - April 22, 2016: Instructors may drop students with a grade of WF for nonattendance. • March 14 - 20, 2016: Spring break (no classes) • April 18, 2016: Beginning this date a student who qualifies may request a grade of I, incomplete. (See “Grading system” in the Academics section of this catalog.) • April 22, 2016: Last day to withdraw from the semester. Process must be completed by 5 p.m. in the Dean of Students Office. • May 4 - 5, 2016: Pre-finals days • May 5, 2016: Last class day • May 6, 2016: Reading day (no classes) • May 7 - 12, 2016: Final examinations • May 13 - 14, 2016: Graduation 3 Tentative Course Outline: The weekly coverage might change as it depends on the progress of the class. Week Content Week 1/18 • 12.1 Vectors in the Plane • 12.2 Vectors in Three Dimensions Week 1/25 • 12.3 Dot Products • 12.4 Cross Products Week 2/1 • 12.5 Lines and Curves in Space • 12.6 Calculus of Vector-valued Functions Week 2/8 • 12.6 Calculus of Vector-valued Functions • 12.7 Motion in Space Week 2/15 • 13.1 Planes and Surfaces • 13.2 Graphs and Level Curves • EXAM 1 Week 2/22 • 13.3 Limits and Continuity • 13.4 Partial Derivatives Week 2/29 • 13.5 The Chain Rule • 13.6 Directional Derivatives & Gradients Week 3/7 • 13.7 Tangent Planes and Linear Approximation • 13.8 Maximum/Minimum Problems Week 3/14 • Spring Break Week 3/21 • 13.9 Lagrange Multipliers • 14.1 Double Integrals over Rectangles • EXAM 2 Week 3/28 • 14.2 Double Integrals over General Regions • 14.3 Double integrals in Polar Coordinates Week 4/4 • 14.4 Triple Integrals • 14.5 Triple Integrals in Cylindrical and Spherical Coordinates Week 4/11 • 14.7 Change of Variable in Multiple Integrals (if time permits) • 15.1 Vector Fields Week 4/18 • 15.2 Line Integrals • 15.3 Conservative Vector Fields Week 4/25 • 15.4 Greens Theorem • Catch-up • EXAM 3 Week 5/2 • Review 4