Bardsley, Johnathan M.

English

University of Montana

University of Montana ScholarWorks at University of Montana University of Montana Course Syllabi, 2021-2025 Spring 2-1-2022 M 273.01: Multivariable Calculus Johnathan M. Bardsley University of Montana, Missoula Follow this and additional works at: https://scholarworks.umt.edu/syllabi2021-2025 Let us know how access to this document benefits you. Recommended Citation Bardsley, Johnathan M., "M 273.01: Multivariable Calculus" (2022). University of Montana Course Syllabi, 2021-2025. 715. https://scholarworks.umt.edu/syllabi2021-2025/715 This Syllabus is brought to you for free and open access by ScholarWorks at University of Montana. It has been accepted for inclusion in University of Montana Course Syllabi, 2021-2025 by an authorized administrator of ScholarWorks at University of Montana. For more information, please contact scholarworks@mso.umt.edu. SYLLABUS: MATH 273, MULTIVARIABLE CALCULUSDr. John Bardsley, Professor of MathematicsRm. 210, Math Building, 243-5328bardsleyj@mso.umt.eduTime and Place: MTWF 9-9:50, Math 311.Text: Calculus: Multivariable, 5th Ed., McCallum, Hughes-Hallett, Gleason, et. al., 2009.ISBN: 978-047013158-9Prerequisite: M 172, 182, or consent of instructor.Final Exam: 8-10:00, Wedensday, May 11.Office Hours: Monday, Wednesday, Friday 2pm, but I am open to meeting at other times.LEARNING GOALS:1. Explain three-dimensional coordinate systems, dot and cross products, equations oflines and planes, cylinders and quadric surfaces;2. Explain vector-valued functions and space curves, their derivatives, arc length andcurvature, and motion in space;3. Explain limits, continuity and partial derivatives of functions of several variables;4. Explain tangent planes to surfaces and linear approximations;5. Explain the chain rule, directional derivative and gradient vector, extreme values andLagrange Multipliers;6. Explain double and triple integrals over general regions, and their applications;7. Explain triple integrals in cylindrical and spherical coordinates;8. Explain vector fields, line integrals and the Fundamental Theorem of Line Integrals;9. Define Green’s Theorem;10. Explain curl and divergence of vector fields;11. Explain surface integrals, Stokes Theorem, and the Divergence Theorem.ASSESSMENT: Your course grade be will determined as follows:Total pointsExam 1 E1 100Exam 2 E2 100Exam 3 E3 100Final∗ F 100HW/Quizzes Q 100∗ The final exam is comprehensive and is optional. If your final exam score is higher thanat least one previous exam score, it will replace the score of your lowest exam.HOMEWORK, QUIZZES, and EXAMS: Homework will be given daily and you willbe tested on the homework material with a quiz once a week, usually on Tuesdays. Examswill be based on homework and quiz material.CONDUCT & ACADEMIC HONESTY: Your conduct should be in line with theStudent Conduct Code, which you can find on the UM home page; and you should practiceacademic honesty.COVID-19 POLICIES: Mask use is required in class. Also, we have been asked to de-velop seating charts for our classes, so please pick a seat this week that you will use for theremainder of the semester. Last but not least, please get the vaccine if you haven’t already.FOR ANY STUDENT WITH A DISABILITY: The University of Montana assuresequal access to instruction through collaboration between students with disabilities, instruc-tors, and the Office for Disability Equity (ODE). If you anticipate or experience barriersbased on disability, please contact the ODE at: (406) 243-2243, ode@umontana.edu, or visitwww.umt.edu/disability for more information. Retroactive accommodation requests will notbe honored, so please, do not delay. As your instructor, I will work with you and the ODEto implement an effective accommodation, and you are welcome to contact me privately ifyou wish.IMPORTANT NOTE: Announcements made in class are considered addenda to thissyllabus. Make sure you stay informed as to the progress of the class.

M 273.01: Multivariable Calculus

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M 273.01: Multivariable Calculus

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