MAT 52-354, Calculus III Syllabus Spring 2018

Dr. Therese Shelton Dept Math and Computer Science, Southwestern University. http://www.southwestern.edu/~shelton
Office hours are usually Mon, Wed 1pm for all of my classes. These may be re-scheduled occasionally. Outside of these times, appointments are welcome and encouraged, and drop-ins will be accommodated as soon as possible or with an appointment.
shelton@southwestern.edu (email is my preferred method of contact if not in person)
office MBH 143; X1489 (512-863-1489).

Catalog Course Description       CALCULUS III. This is a course in multivariable calculus. Topics include vectors, vector-valued functions and functions of several variables, partial differentiation, multiple integration, applications of partial differentiation, applications of multiple integrals, line integrals, Green's Theorem, and surface integrals. Prerequisite: MAT52-254 Calculus II. (Each semester) (NS)
(See more below.)

Assessment Components       Some due dates subject to revision

Exam 1	17%	week 4
Exams 2, 3	2@21%	weeks 8, 12
Assignments	20%	Individual unless specified. Guided, inquiry-based, collaborative learning will be particularly practiced in Assignments. Most assignments will require the use of technology. Attending at least two events outside of class is required.
Final	21%	cumulative and comprehensive. Thurs, May 10, 2018, 1:30pm - 4:30pm for students who are not candidates for graduation. Students who are candidates for May-August graduation should arrange their final exam schedule with me no later than April 25.

As two assignment grades, each student will attend at least two talks at SU by math speakers and will submit a well written summary. Here is the current schedule for the Spring 2018 semester, subject to change with little notice. A student may request an alternative assignment if attendance is difficult. If more than one course uses these choices for extra credit or an assignment, the student needs to confer with all faculty members involved to determine if one or more can be counted for both courses.
Talks by candidates for assistant professor, each at 5pm in MBH 109:
      ** Thurs 1/18. ** Tues 1/23. ** Tues 1/30. ** Tues 2/13.
Talks in the "Hidden No More" Lecture Series, each in FWO 105:      
      ** Mon 2/5 at 4:30PM -- Cassandra McZeal ('92), ExxonMobil
      ** Th 4/5 at 5:00PM -- Ulrica Wilson, Morehouse College
      ** Mon 4/30 at 4:30PM -- Sara Del Valle, Los Alamos National Laboratory

Materials

1. YOU are your primary resource!! Engage fully, be prepared, and practice good critical thinking and communication skills.
   I am your primary reference and will provide supplemental material.
   Look for postings via email and Moodle.
2. Required Text: Vector Calculus, 4th edition, Colley, Pearson Education (and Prentice Hall) Inc, 2012, ISBN 13: 978-321-78065-2 or 10:0-321-78065-5.
   The student solution manual is available but is optional.
   We will cover most of Chapters 1-6, some of Ch 7, and supplemental material.
   
   NOTE: You will be expected to spend time outside of class using technology on your own.
3. You need continual access at least through campus computers to your SU email, Moodle, file storage (SU GoogleDrive), the internet, Mathematica, and Microsoft Office (Excel, Word, Powerpoint) or their Google equivalents.
4. Use an auxiliary storage medium such as USB drive or portable hard drive.
5. Every day have paper, pencil, eraser, calculator. Some students find a ruler very handy. Graph paper is not necessary, but you are welcome to use it. Many students find colored writing utensils handy. If you use pen, also use a correction tape.
6. A graphing calculator is required; see me for the possibility of a departmental loaner. Although you may use your own calculator on some portions of the exams, you will need to forgo any capabilities such as derivatives and integrals which are beyond a TI-83/84. Each student is responsible for learning the details of her/his own calculator model.

Further Course Description This course...

• covers standard material with a mix of theory and application. Technology is included where pedagogically appropriate.
• has a pre-requisite of Calculus II. This course builds upon each of Calculus I and II. In particular, this material includes derivatives and integrals, limits, and Taylor series. Most students will need to learn or review some topics and are encouraged to avail themselves of appropriate online resources and the texts in the Smith Library, my office, and the Chapman-Whitmore Computer Lab and Lounge (MBH 133). Our peer tutors can tutor Calculus I and II material but are not expected to tutor Calculus III.
• generally meets for 225 (up to 240) minutes a week for 15 weeks, and receives 4 credits at SU. The general national guideline regarding college studying is, and has been for a long time, that for each class, students should spend approximately 2-3 hours outside of class on work for each hour that they spend in class.
• is required for majors in Mathematics, Computational Mathematics, Physics, and Applied Physics.
• counts as an approved upper-level course toward a minor in Mathematics.
• may satisfy an Exploration and Breadth portion of the curriculum within the Natural Science Area, as indicated by the "NS" designation; most students will have already satisfied this with other courses.
• builds toward a Paideia Integrated Experience by explicitly acknowledging the connections between ideas within this course material. We will experience ways in which various skills and ideas connect across the department.

Student Learning Outcomes
The following is a partial list.
      General Upon successful completion of Calculus III, students are expected to:

• use appropriate mathematical vocabulary.
• properly invoke supporting theory to justify solutions steps, including verifying hypotheses and stating the theory used.
• demonstrate a basic understanding of particular proofs of important theorems in some cases.

• have developed and be able to demonstrate a clear conceptual understanding of the central concepts and theorems of multivariate calculus, as follows:
  • Coordinate and Vector Geometry: calculate, interpret, and graphically represent the associated geometry of dot products, cross products, and mapping properties of functions of several variables.
  • Differentiation: calculate, interpret, and graphically represent the associated geometry of partial and directional derivatives, the gradient, linearization, and 2nd order Taylor polynomials. Students should be able to apply the Chain Rule for functions from R^m into Rⁿ.
  • Vector-Valued Functions: identify and geometrically represent parametrized curves and surfaces; demonstrate a conceptual understanding of the differential calculus of vector fields (e.g., identify conservative vector fields, calculate divergence and curl).
  • Extrema for Functions of Several Variables: apply partial differentiation and analyze the Hessian to find extrema for multivariate functions.
  • Multiple Integration: formulate, calculate, interpret, and graphically represent the associated geometry of double and triple integrals in finding area and volume.
  • Path Integrals and Surface Integrals: perform calculations and demonstrate a conceptual understanding involving the integral calculus of vector fields (work interpretation, apply the Fundamental Theorem of Path integrals, apply Green's Theorem, identify double integrals associated with surface area of parametrized surfaces, and apply the Divergence Theorem and Stokes Theorem).
  • Coordinate systems: work a variety of problems in rectangular, polar, cylindrical, and spherical coordinates.
• demonstrate a strong facility with the analytical and computational skills required in the successful application of these concepts.

General Comments
      The course is "an opportunity for students to develop habits of living and thinking that empower them to probe deep, uncover structure and connections, make meaning and discovery, and realize that with enough effort and perseverance, whatever they put their minds to can be understood with a little more clarity and focus." (Ed Burger)
      Mathematics is a language, and you need to develop fluency, both verbally and in writing. Use my feedback to improve your communication skills, which constitute a significant portion of your grade on each item you produce. I am the audience for which you are writing; make sure you are clear of my expectations. Electronic course-related conversations for this course are to be held in regular English, (not texting vernacular, for instance.)
      Be an active learner. Take responsibility for your learning. Take notes! Ask questions! I will use supplemental materials. Verbal instructions and schedule changes will be given in class, on Moodle, and in email. Students are responsible for this content, regardless of attendance issues. Make good use of class time and office hours to keep pace. All of the work we do in class and that you do outside of class should prepare you for the exams and the final. Make it easier on yourself and study/work methodically, actively, and persistently.
      It is certainly stating the obvious that you need to come on time and stay the entire time, alert and awake, fully engaged in classroom activities. In this spirit, any electronic devices (cell phones, etc) should be off in general; on some rare occasions it may be appropriate to have one on but in a silent mode. During exams, electronic communication devices are not allowed. In all endeavors, students shall focus on the task at hand.
      I expect you to take advantage of the Center for Academic Success if needed, and I will notify that office if I believe someone may benefit from the opportunities that office affords.
      It is the responsibility of the student to save frequently and often and to have back-up copies of all files on independent media. Assessment will be made of each student's skills with and without technological aids.
      There will be a mix of individual and collaborative work as well as a variety of teaching and learning styles. Collaborative work will often require meeting with peers outside of class time. Collaboration, when allowed, means working fully with someone in your section. There can be no collaboration on individual work although you may seek help on Assignments from me. See more on the Honor System.
      Some Computer Lab Rules written mostly by students.
      Have an attitude conducive to learning. For instance,
* Keep relatively quiet when it's appropriate so others can work. Don't talk during instructions but otherwise ask lots of good questions.
* Be respectful of others and their computers. Help each other when appropriate.
* Pay attention. No cell phones or other electronic devices used during class. No web surfing or emailing unless it is for class. Don't play games on the computer. No horseplay.
* Work hard. Make good use of class time. Be prepared.
      Be careful with the computer, keyboard, and mouse. For instance, keep food and drink away from the equipment, and be especially careful with drinks in lab -- only closed containers, please, or leave it on the front desk.

Description of the Grading Components
    Homework       The purpose of homework is to build skills in the material. It is the student's responsibility to work these and other practice problems in a timely fashion to generate understanding of the material. I assign practice problems from the book to aid in this process but do not grade them. Students are expected to ask questions in class or individually in office hours concerning these problems.
    Assignments       The purpose of an assignment is to build skills, provide periodic opportunities for assessment, and to allow for feedback to the student prior to an exam. Approximately 10 assignments will be given; it might be anywhere from 6 to 25. Assignments may be weighted differently; some will count more than others.
      Some assignments will be completed in class; others are to be done outside of class.
      Assignments are to be done individually unless otherwise stated. You may ask me for help (not other students or tutors.) Any help is to be acknowledged prior to the pledge.
      Books, including solutions, calculators, technology, including wolfram alpha, and class notes may be used on all out of class assignments unless otherwise specified. However, limit your access to solutions until after you have tried the problem yourself. You may indicate corrections. If the assignment is allowed to be collaborative, a single copy may be turned in for the group, but all participants must sign the pledge.
A problem worked without justification is unacceptable. Assignments are separate from your class notes. Sometimes electronic submissions are required. Be sure to keep a copy of your files.
    Exams       The purpose of an exam is almost entirely assessment, and it is entirely individual. Synthesis of material is expected on an exam rather than a mere reproduction of items as covered. Additionally, an exam is designed to provide further feedback to the student. When a key is posted outside my office, I expect each student to examine the key prior to asking for additional feedback. Exams are significantly more difficult than Assignments or homework for several reasons: the number of problems and timed situation, the expectation of mastery, and the fact that problems from multiple sections are included (you must know which technique to use and concept to describe rather than it being a chapter title). In addition, the exams increase in difficulty throughout the semester because of the cumulative nature of the material. Students who make a B or better on the first exam generally have the best chance of succeeding in the course.
      It will be a violation of the Honor Code to discuss an exam with anyone prior to his or her taking it. Don't say anything about the exam, even whether you thought it hard or easy or wish you had studied topic X more, to someone taking it later! Unauthorized use of technology or resources will also be a violation of the Honor Code; this includes, but is not limited to, texting or web searching for answers, or use of wolfram alpha. Your signature on the pledge for that exam is an acknowledgment of compliance.
      An exam will be individual effort and closed book. It is possible that you will be assessed with and without technology on various portions of the exam.
    Final Exam       The purpose of the final is assessment. The problems will be designed to combine ideas presented throughout the course. The final is comprehensive and cumulative. There are no exemptions.
If all exams and assignments have been completed, then the final may replace the single lowest exam if the final exam is better. Although some students do improve on the final, the final is cumulative, longer, and generally harder.

Grading Policy
      Each student earns a grade based on meeting standard objective criteria. The best work provides clear communication of the material -- in words, equations, graphs -- with proper justification, use of symbols, and notation.
      If all work is completed, and absences are not excessive, the following grading scale will be used: 98.00-100 = A+; 92.00-97.99 = A; 90.00-91.99=A-. The pattern continues through D-. A grade of F is awarded for 0.00-59.99.
      According to the Catalog, "all required work is expected to be completed for [a grade of C]". In other words, even if your grade is 99, if you miss a single assignment, such as a minor assignment in this class, it is possible that your grade could be anything less than a C. Completion of all work is just one of the requirements for a grade of C or better.
      As explained in the University documents, your attendance at each class is required. This class will be taught in an active style, and student participation is essential. A student who accumulates absences amounting to a total of two semester-weeks of class days or three consecutive class days (excused or unexcused) may automatically fail the course.
      A student may drop a course without record by the Monday of the sixth week or with record by the Monday in the tenth week. I may invoke the involuntary withdrawal procedures for students who are not progressing in the course, either as evidenced by poor attendance or lack of work.
      A university approved excuse is generally required to make up any missed exam or in-class assignment. Contact me as soon as possible about an absence. It is always the student's responsibility to make up missed work in a timely fashion.
      SU recognizes that it has students from a variety of religious and cultural traditions that have special days of observance or celebration that may take students out of their regular activities on certain days during the school year. Since the academic calendar does not always coincide with these days, the following policy is to be followed in order to facilitate student absences due to cultural and religious observances: As far in advance as possible, the student is expected to notify me of the class(es) to be missed. The student is expected to learn what assignments or exams are due or will be assigned on those dates and negotiate with me on alternate times for filling those requirements. Students should be prepared to fulfill the requirements prior to the class(es) to be missed.
      Assignments must be turned in at the beginning of class on the due date unless otherwise specified. Any assignment not turned in at that time will be penalized one full letter grade for each 24 hour period that it is overdue.  In general, an assignment that is more than 72 hours overdue will not be accepted.
      You will be required to attend talks outside of class time as part of the Assignment grade.
      Items within an assignment or exam will be weighted based on a combination of the level of difficulty, importance, and time involved. Assignments will also carry different weights within the "Assignment" category of our grading.

Honor System, Some Expectations for Individual and Collaborative Work
      We are all very fortunate to have the Honor System here at Southwestern. In general, professors establish ground rules for acceptable collaboration or rules for exams, and students follow those rules. You must write out and sign the honor pledge on all work to be graded. The approved wording is as follows: "I have acted with honesty and integrity in producing this work and am unaware of anyone who has not." Your signature is also required. By matriculating at this university, each of you has agreed to uphold this wonderful tradition.
      In some cases, resources may be allowed, such as technology, notes, other material, or collaboration. These must be acknowledged above the pledge. Each graded item will have rules on what is allowed; a student may always ask for clarification. These rules will be discussed in class.
      Unless otherwise specified, work is to be done individually. When group work is allowed, full collaboration is essential. This does not necessarily mean that everyone has all of the answers. In some cases, one student may appropriately be at the forefront of collaborative work while others are in more of a following mode. If, however, someone is contributing very little or not at all, then obviously that person would need to be excluded from the pledge. It is possible for people to begin work together but end separately, though that is unusual; this would be indicated in the Acknowledgement. When collaboration is allowed, that means with another student from your section in the current semester.
      One rule for our class on an exam: a computer algebra system (CAS) such as found on the TI-89 will not be allowed on the exam. Students with these calculators will be allowed to use them without the CAS features. Anyone who is unsure of what to use may ask for a loaner calculator well in advance of the exam.
      Most of us need continued education about academic integrity, and sometimes that is accomplished by a list of negatives. In addition to the more obvious violations of our Honor System, such as collaborating on individual work or plagiarism, some examples include, but are not limited to: falsifying data, marking someone as present on the roll sheet who is absent, including someone in a group pledge who did not collaborate, discussing "pop" quizzes or exams with someone from another section of the same class, submitting work done in a previous semester, unauthorized use of resources (human or inanimate, printed or electronic), texting or web searching for answers, having a book or solution manual open during an exam, listening to or viewing unauthorized pre-recorded notes, using unauthorized programs on your calculator or electronic device.

It will be a violation of the Honor Code to discuss a pop quiz, an exam, or a final with anyone prior to his or her taking it. Don't say anything about the exam, even whether you thought it hard or easy, to someone taking it later! Unauthorized use of technology or resources will also be a violation of the Honor Code; this includes, but is not limited to, texting or web searching for answers.

      Signing the pledge indicates compliance with all rules. An electronic signature may be allowed on electronic submissions of assignments; otherwise, the student will print out and sign the pledge.

Students with Disabilities
      Southwestern University will make reasonable accommodations for persons with documented disabilities. Students should contact the Center for Academic Success to determine their eligibility to receive accommodations.
      It is the student's responsibility to discuss any necessary accommodations with the appropriate faculty member in a timely manner.

(Note: This syllabus may be amended.)