Honors Multivariate Calculus Fall H-01 & 233H-02

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1 Honors Multivariate Calculus Fall H-01 & 233H-02 Contents 1 General Information 1 2 Textbook 2 3 Grading Exams WebAssign and Written Homework Tentative schedule 4 5 Section titles 5 6 Resources 5 7 Disability Statement (TEFD) 6 8 Academic Honesty Policy Statement (TEFD) 6 1 General Information Instructor: Anna Puskás puskas@math.umass.edu office: LGRT 1124 ( ) Class number: 233H.01: H.02: Classroom: 206 Lederle Graduate Research Center Class time: 233H-01: Monday, Wednesday, Friday 10:10 am - 11:00 am Office hours: 233H-02: Monday, Wednesday, Friday 11:15 am - 12:05 pm In the Calculus Tutoring Center (LGRT 140): TBD; in LGRT 1124: Wednesdays 4-5; or by appointment. Math 233H is the honors section of multivariate calculus. The topics covered include vectors, calculus of vector functions, partial differentiation and applications, and multiple integration and applications. The honors section is more challenging than the regular sections in the choice of topics, the pace of the course, and the discussion in class. It is important that you read the relevant sections of the textbook before coming to class. Some topics may not be covered 1

2 in class in detail - in that case the schedule serves as a guide on what to read to complete the picture. 2 Textbook The link to purchase the textbook and WebAssign access: The textbook is Calculus: Early Transcendentals (8th edition) by James Stewart. You will need access to WebAssign for this course as well. (Electronic homework will be given and graded through WebAssign.) To enrol in the WebAssign course you will need the Class Key for our class: Section 01: umass Section 02: umass Grading The grade in the class will be based on the following components: Final exam 40% First Midterm exam 20% Second Midterm exam 20% WebAssign Homework Written Homework 20% Final grades will be assigned approximately as follows: A 90%-100% A- 87%-90% B+ 83%-87% B 80%-83% B- 77%-80% C+ 73%-77% C 70%-73% C- 67%-70% D+ 63%-67% D 60%-63% F 0%-60% 3.1 Exams First Midterm: October 4, 7pm-8:30pm, room TBD Second Midterm: November 8, 7pm-8:30pm, room TBD Final exam: December 18, 8AM - 10AM (in LGRT 123/121) 2

3 The final exam is scheduled by the university; the information above may be subject to change. Please make travel plans accordingly! Consult Academic Regulations for the University s final exam conflict policy. It is your responsibility to advise me and your other instructors well in advance if a conflict arises. The exams will contain problems similar to the ones on the homework sets and questions about definitions and theorems discussed in the lecture. The final exam will be cumulative. The second midterm will be cumulative, but will focus on the topics covered after the scope of the first midterm. The exact sections covered by each exam will be announced in advance. Makeup exams will not be given; excepting the case of a medical or family emergency. I have attempted to avoid conflict with religious holidays. If you are not able to attend an exam on account of a religious observance, please let me know as soon as possible! 3.2 WebAssign and Written Homework There will be two kinds of homework: WebAssign, and problems to submitted in written form. WebAssign and written homework will account for 20% of your grade. The exact distribution will depend on the availability of a grader for the course. WebAssign will be worth at least 10% of the total grade. Out of the ten WebAssign problems sets, I will omit the worst two scores when computing your grade. I will assign some problems to be written up and handed in. This portion of the homework will be due at the beginning of lecture on the date of the deadline. (See the schedule below. A not due date means a recommended submission date.) There will be nine problem sets. Some portion of these will be graded. Exactly how much will depend on the availability of a grader. A note on the importance of homework. Passively reading and listening to Mathematics will not get you very far. It is essential that you solve problems and look at examples. The homework aims to help you grasp the material. I encourage you to form study groups and discuss the homework questions and the rest of the material with your fellow students. You can learn a lot this way! You can also get help with your homework in the Calculus Tutoring Center. However, please keep issues of academic honesty in mind when collaborating on a problem set. The goal of the written homework is to give you some practice with effectively communicating Mathematics in writing, and to expose you to some problems that are a bit more challenging. A written solution to a problem consists of more than the correct result: to receive full credit, show all relevant work. Make a serious effort to present your thoughts clearly (and legibly). When working with fellow students on written problem sets, please observe the following rules: always attempt to solve an exercise on your own first; list your collaborators; do not exchange written work. 3

4 4 Tentative schedule Date Book WebAssign Written HW September , 12.2 September , 12.3 September , 12.4 September , 12.5 WA #1 due September Set #1 due September September , (10.3) 13.1 WA #2 due September Set #2 not due September Set #2 due September WA #3 due September Set #3 not due October Set #3 due October 4 Review, FIRST MIDTERM October , 14.3 October 10 (!) 14.3, 14.4 October WA #4 due October October Set #4 due October WA #5 due October October Set #5 due October WA #6 due October , 15.3 October Set #6 due November WA #7 not due November WA #7 due November November 8 Review, SECOND MIDTERM November November , 16.1 November WA #8 due November Set #7 due Thanksgiving recess November November WA #9 due December 1 ((16.5)) Set #8 due December 4 ((16.6)) December 6 ((16.7)) WA #10 due December 8 ((16.8)) Set #9 not due December 11 REVIEW Set #9 due

5 5 Section titles 12.1 Three-dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Equations of Lines and Planes 12.6 Cylinders and Quadric surfaces 10.1 Curves defined by Parametric Equations 10.3 Polar Coordinates 13.1 Vector Functions and Space Curves 13.2 Derivatives and Integrals of Vector Functions 13.3 Arc Length and Curvature 13.4 Motion in Space: Velocity and Acceleration 14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Planes and Linear Approximations 14.5 The Chain Rule 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values 14.8 Lagrange Multipliers 15.1 Double Integrals over Rectangles 15.2 Double Integrals over General Regions 10.3 Polar Coordinates 15.3 Double Integrals in Polar Coordinates 15.4 Applications of Double Integrals 15.5 Surface Area 15.6 Triple Integrals 15.7 Triple Integrals in Cylindrical Coordinates 15.8 Triple Integrals in Spherical Coordinates 15.9 Change of Variables in Multiple Integrals 16.1 Vector fields 16.2 Line integrals 16.3 The Fundamental Theorem for Line Integrals 16.4 Green s theorem 16.5 Curl and Divergence 16.6 Parametric Surfaces and Their Areas 16.7 Surface Integrals 16.8 Stokes Theorem 6 Resources This syllabus, and the links therein! (For administrative issues.) Your instructor: during, before or after class, or in office hours. Via 5

6 as well, just keep in mind that (1) it may take me hours to respond, more over the weekend; and (2) explaining Calculus via effectively is almost impossible. If the answer to your question would involve formulae, please come to/ask for office hours. Use your judgement. The textbook. You should be spending a lot of time with this text. Moodle (e.g. summaries, Written HW + solutions, etc.), Spire. The Calculus Tutoring Center. 7 Disability Statement (TEFD 1 ) The University of Massachusetts Amherst is committed to making reasonable, effective and appropriate accommodations to meet the needs of students with disabilities and help create a barrier-free campus. If you are in need of accommodation for a documented disability, register with Disability Services to have an accommodation letter sent to your faculty. It is your responsibility to initiate these services and to communicate with faculty ahead of time to manage accommodations in a timely manner. For more information, consult the Disability Services website at 8 Academic Honesty Policy Statement (TEFD) Since the integrity of the academic enterprise of any institution of higher education requires honesty in scholarship and research, academic honesty is required of all students at the University of Massachusetts Amherst. Academic dishonesty is prohibited in all programs of the University. Academic dishonesty includes but is not limited to: cheating, fabrication, plagiarism, and facilitating dishonesty. Appropriate sanctions may be imposed on any student who has committed an act of academic dishonesty. Instructors should take reasonable steps to address academic misconduct. Any person who has reason to believe that a student has committed academic dishonesty should bring such information to the attention of the appropriate course instructor as soon as possible. Instances of academic dishonesty not related to a specific course should be brought to the attention of the appropriate department Head or Chair. The procedures outlined below are intended to provide an efficient and orderly process by which action may be taken if it appears that academic dishonesty has occurred and by which students may appeal such actions. Since students are expected to be familiar with this policy and the commonly accepted standards of academic integrity, ignorance of such standards is not normally sufficient evidence of lack of intent. For more information about what constitutes academic dishonesty, please see the Dean of Students website: students/codeofconduct/acadhonesty/ 1 The Disability Statement and Academic Honesty Policy Statement were phrased by The Institute for Teaching Excellence & Faculty Development University of Massachusetts Amherst 6

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