Math 275 BSU Dept. of Mathematics 2017 Summer (2)

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1 Math 275 BSU Dept. of Mathematics 2017 Summer (2) Catalog Title and Description: Multivariable and Vector Calculus (4 credits). Vector algebra and geometry, functions of several variables, partial and directional derivatives, gradient, chain rule, optimization, multiple and iterated integrals. Parametric curves and surfaces, vector fields, divergence and curl, line and surface integrals, Green s, Stokes and divergence theorems. Use of software such as Maple or Mathematica for visualization, exploration and solutions of real-world problems. PREREQ: MATH 175 or MATH 176. Required Text: Calculus: Early Transcendentals, James Stewart; Brooks/Cole, 8th edition, Meeting Time and Place: MoTuWeTh 9:30 11:20, in ILC 203. On Thursday, July 13: ILC 402. Instructor Instructor: Dr. Zach Teitler Phone: (208) Website: Office: MG 233A Office Hours: MoTuWeTh 11:30-12:00, and also by appointment. If you want to arrange a meeting at another time, just ask in class or me. You are welcome to visit whenever I am in my office. I love the material and am happy to help! Learning Assistant Learning Assistant: Josie Derrick josiederrick@u.boisestate.edu Grading Grading categories: Grades will be based on the following activities: Midterm Exams 50% Final Exam 25% Online Homework 15% Quizzes 10% Total 100% We- Online Homework (15%): Homework will be submitted via the online homework platform WebAssign. bassign problem sets will be due almost every day. To enroll in the WebAssign section of this course, use the course key: boisestate You are encouraged to work collaboratively on homework but you must enter your own solutions. After a due date, extensions are available using the request an extension link for an assignment. Problems completed before the due date will receive full credit. Problems completed within three days after the original due date will receive 75% credit. Quizzes (10%): There will be three quizzes. Quiz Date Sections Quiz 1 Thursday, June 29 Sections * Quiz 2 Thursday, July 13 Sections * Quiz 3 Thursday, July 27 Sections * *Tentative, subject to change

2 Quizzes will usually be 20 minutes long. Quizzes will be given in our regular classroom, at the beginning of class. We will cover new material after the quiz. You may be asked to present your official BSU Student ID at any of the quizzes. Midterm Exams (50%): There will be three midterm exams. Exam Date Sections Exam 1 Thursday, July 6 Sections , * Exam 2 Thursday, July 20 Sections 13.4, , , 15.4* Exam 3 Thursday, August 3 Sections 15.3, , * *Tentative, subject to change Exams will usually be 40 minutes long. Exams will be given in our regular classroom, at the beginning of class. We will cover new material after the exam. You may be asked to present your official BSU Student ID at any of the exams. Final Exam (25%): Thursday, August 10. The final exam will be cumulative (inclusive of all material covered in the course). The final exam will be given in our regular classroom. The final exam will take one whole class period, 110 minutes. You may be asked to present your official BSU Student ID at any of the exams. If you do not take the final exam, you will receive a failing grade for the course. The final exam must be taken at the scheduled time. Grading scale: The default grading scale for this course will be: A 90% 100% B 80% 89% C 70% 79% D 60% 69% F below 60% Borderline grades (the top and bottom 2 3% within a given range) may be assigned a + or. Makeups: Homework, quizzes, and exams can not be made up. Make-up exams will not be given. If you must miss a midterm exam, notify me (Dr. Teitler) before the date of the exam (or, in the case of an emergency, as soon as your situation allows), and your final exam score will replace the missed exam. Failure to notify me will result in a zero on the missed exam (not replaced by the final exam score). You may be asked to present your official BSU Student ID at any of the exams. After a homework due date, extensions are available using the request an extension link for an assignment. Problems completed before the due date will receive full credit. Problems completed within allowed time after the original due date will receive 75% credit. Assignments and Technology Online homework: Homework will be submitted via the online homework platform WebAssign. To enroll in the WebAssign section of this course, use the course key: boisestate Technology: An app that can graph parametric curves (2D and 3D), surfaces (3D), and vector fields (2D and 3D) will be very useful. Calculators will not be allowed for in-class exams.

3 Other Important Dates: June 26 Mon First day of classes June 29 Thur Quiz 1 July 4 Tue Independence Day (holiday). (No classes. University offices closed.) July 6 Thur Exam 1 July 13 Thur Quiz 2 July 20 Thur Exam 2 July 27 Thur Quiz 3 Aug 3 Thur Exam 3 Aug 10 Thur Final exam (9:30am 11:20am, in regular classroom) Learning Objectives: A student successfully completing this course should be able to: LO1: Carry out algorithms and clearly show the steps associated with basic computations. LO2: Apply, with guidance, the concepts and computational techniques introduced in this class. LO3: Identify geometric and physical content encoded in given mathematical expressions. LO4: Analyze problems arising in mathematics, the sciences, and engineering, identify the relevant mathematical concepts and computational techniques, and correctly apply them to find a solution. LO5: Identify key similarities and differences between multivariable and vector calculus and calculus of a single variable. Mastery of these learning objectives demonstrates that a student has: LO1: The ability to perform standard calculations accurately and with confidence (with no analysis or interpretation). Bloom s taxonomy: knowledge/application LO2: The ability to employ concepts and computational techniques from this class when solving problems (with significant guidance or previous exposure to the problems). Bloom s taxonomy: application LO3: An understanding of the physical and geometric concepts underlying the mathematics taught in this class. Bloom s taxonomy: comprehension LO4: The ability to choose and apply the correct mathematical concepts and computational techniques to solve problems arising in mathematics, the sciences, and engineering. Bloom s taxonomy: analysis LO5: The development of an integrated view of mathematics; seeing mathematics as a body of interrelated concepts. Bloom s taxonomy: analysis Attendance: Attendance and participation in in-class discussion and groupwork are mandatory. Punctuality is important. All students must arrive to class on time and stay for the entire class in order to gain the full benefit of participation in class. While occasional circumstances may force students to arrive late, leave early, or miss a class day, it is the responsibility of each student to ensure that these occurrences are rare, and to obtain lecture notes for any missed class time. When entering class late or leaving early, do so quietly in order to avoid disruptions. Calculator: Calculators will not be required, and not allowed, for exams. No communication devices (e.g., smartphones) are allowed during exams. A graphing calculator, smartphone, computer, etc., may be used for homework and studying, but not exams. Exam notes: A formula sheet of integrals and derivatives will be posted online, which you will be allowed to bring to exams. You may write your own notes on the front and back of the sheet.

4 ADA Policy Statement: The Americans with Disabilities Act (ADA) is a federal anti-discrimination statute that provides comprehensive civil rights protection for persons with disabilities. Among other things, this legislation requires that all students with disabilities be guaranteed a learning environment that provides for reasonable accomodation of their disabilities. To request academic accomodations for a disability, contact the Disability Resource Center, Admin 114, (208) Students are required to provide documentation of their disability and meet with a Disability Specialist prior to receiving accomodations. Information about a disability or health condition will be regarded as confidential. Communication: Additional information and updates may be announced in class, sent by , and/or posted on BlackBoard ( In accordance with Boise State University Policy #2280, it is expected that you will receive and read s sent your boisestate.edu address. Behavioral Expectations: Every student has the right to a respectful learning environment. In order to provide this right to all students, students must take individual responsibility to conduct themselves in a mature and appropriate manner and will be held accountable for their behavior in accordance with Boise State University Policy #2050. Academic Dishonesty: All students are required to adhere to Boise State University s Student Code of Conduct on academic dishonesty. Assignments you submit must be your original work and cannot be used in other courses. Nor can you use significant portions of assignments completed for another course in this course. All work that you submit must show your own ideas and current understanding. Assignments you submit must be original and developed by you. You are welcome to get ideas from other sources; however, you must interpret such ideas significantly and cite your sources. Anything copied from another source must be indicated by appropriate quotation notations. Please refer to Student Code of Conduct Articles 2, 4 and 6 on Academic Dishonesty, Cheating, Classroom Misconduct, and Plagiarism. ( This course has a zero-tolerance policy regarding academic misconduct. Any instance of academic misconduct will result in a failing grade for the course, and an academic misconduct report filed with the Dean of Students. All written work you turn in must be written in your own words, and must reflect your actual level of understanding. Give appropriate attributions for material originating with a source other than yourself. Online work must be submitted by you personally. A partial list of acceptable vs. unacceptable academic conduct for this class: Acceptable: Collaborating with other students on homework and in-class work. Referring to online resources and other commonly available reference material or technology when working on homework. Using explicitly permitted resources during exams. Seeking help with homework from any person, including (but not limited to): me (Dr. Teitler), class Learning Assistants, tutors, BSU faculty members, and other students. Unacceptable: Copying work from another person, reference material, or other source, without providing attribution. Collaborating, copying, or sharing information in any way with any person during in-class exams. Using any notes or technology during any exam, unless given explicit permission to do so. Having another person take any part of an exam, enter clicker answers, or submit online homework for you. Hiring someone else to find the answers to homework problems. Aiding another student in any of the above activities. This is not a comprehensive list. If you are unsure whether something constitutes academic misconduct, ask me.

5 Summer 2017(2) Math MoTuWeTh, 9:30-11:20, ILC 203 Chapters 12 Vectors and the Geometry of Space 13 Vector Functions 14 Partial Derivatives 15 Multiple Integrals 16 Vector Calculus Week Day Date Section Topic 1 Mon 6/ Three-Dimensional Coordinate Systems. Vectors. Vectors in component form, vector algebra, unit vectors, i, j, k basis vectors. Tue 6/ The Dot Product The Cross Product. Wed 6/ Applications of dot product: projections and work Equations of Lines and Planes. Thur 6/29 Quiz Vector Functions and Space Curves. Position vector, vector-valued functions, curves in the plane and in 3-space. 2 Mon 7/ Derivatives and Integrals of Vector Functions Arc Length and Curvature. Arc length of curves. Tue 7/4 Independence Day (holiday). No classes. University offices closed. Wed 7/ Motion in Space: Velocity and Acceleration Functions of Several Variables. Multivariate functions, domain, graphs, traces, level curves, and contour maps. Thur 7/6 Exam Partial Derivatives. 3 Mon 7/ Tangent Planes and Linear Approximation The differential df. Tue 7/ The Chain Rule Directional Derivatives and the Gradient Vector. Wed 7/ Geometry of the gradient Maximum and Minimum Values. Local extrema and the second derivative test. Thur 7/13 1 Quiz Lagrange Multipliers. 1 Note: This day, the class will meet in room ILC 402.

6 Week Day Date Section Topic 4 Mon 7/17 Review 15.1 Double Integrals over Rectangles. Tue 7/ Double Integrals over General Regions. Area element da Applications of Double Integrals. Area, volume, mass; center of mass, probability. Wed 7/ , 15.3 Polar Coordinates. Double Integrals in Polar Coordinates Triple Integrals. Cartesian coordinates. Thur 7/20 Exam Applications of triple integral: volume, mass. 5 Mon 7/ Triple Integrals in Cylindrical Coordinates Triple Integrals in Spherical Coordinates. Tue 7/25 Review 16.2 Line Integrals. Scalar line integrals. Wed 7/ Vector Fields Line Integrals. Vector line integrals. Thur 7/27 Quiz The Fundamental Theorem for Line Integrals. Conservative vector fields, path independence. 6 Mon 7/ Green s Theorem Curl and Divergence. Tue 8/ Parametric Surfaces and Their Areas. Surfaces, parametrizations, grid curves. Vector and scalar surface elements. Area of parametric surfaces. Wed 8/ Surface Integrals. Scalar surface elements and integrals. Thur 8/3 Exam Vector surface elements and integrals. Flux. 7 Mon 8/ Stokes s Theorem. Tue 8/ Divergence Theorem. Wed 8/9 Review Thur 8/10 Final Exam Most days will feature a first topic, a 5-minute break, and a second topic. Approximate times will be 9:30 10:20 for the first topic and 10:25 11:20 for the second topic, with some variation on a day-to-day basis. Quizzes will usually be 20 minutes long. Exams will usually be 40 minutes long. However, the final exam will occupy a full day (110 minutes). Extra time in the first hour of quiz/exam days will be used to go over answers following the quiz/exam; to answer questions and review previous topics; or to cover material as needed. On quiz/exam days other than the final exam, we will cover material in the second hour of class.

SOUTHWEST COLLEGE Department of Mathematics

SOUTHWEST COLLEGE Department of Mathematics COURSE SYLLABUS MATH 2415: CALCULUS III (DISTANCE EDUCATION) SPRING 2015 / SS TERM / CRN 48306 / FEBRUARY 14 MAY 17/ INSTRUCTOR: Dr. Jaime L. Hernández CONTACT