Multivariable Calculus
MATH 210, Sections 01 and 02 Fall 2020
Course Information

Lectures: Online, TuTh 1:00-2:15pm(Section 01) and 2:30-3:45pm(Section 02)

Instructor: Dr. Mihaela Vajiac Office: Keck 365

Office hours:On personal webpage http://www1.chapman.edu/~mbvajiac and on Canvas Calendar. Email: mbvajiac at chapman.edu.

Text: Calculus, Early Transcedentals, by John Stewart 8th Edition with WebAssign
Topics covered: Vectors and the Geometry of Space (Chapter 12), Vector Functions (Chapter 13), Several Variables Functions, Partial Derivatives, Minima Maxima (Chapter 14), Multiple Integrals (Chapter 15), Vector Calculus (Chapter 16)

Prerequisites: Math 111 or equivalent. Credits: 3

Objectives: The main objective for this course is to acquaint you with fundamental calculus concepts involving functions of more than one variable, and to help you to understand and apply such functions in a variety of settings.
We begin with a treatment of the geometry of space. We shall learn about vectors, dot and cross-products, line, planes, 3-D surfaces and how to visualize them. We then introduce the concept of a vector function and their derivatives, integrals, arc-length, curvature. Then on to functions of several variables, and their partial derivatives, directional derivatives and max/min problems. We will then we cover multiple integrals and finish in style with vector calculus, wrapping everything in a layer of higher-level math.
Much thought and persistent work on your part will be necessary in order to achieve this goal. Making a regular and concerted effort to read the textbook will be a key to success. To prepare for exams, it is also recommended that you try working as many problems from the book as possible. Condensed answers to the odd numbered problems can be found in the back of the book to assist you in determining whether your approach is correct. Questions are ALWAYS welcome during class periods and during office hours. Attendance at each class lecture is required and expected.

Homework: We will use an online system called WebAssign, linked from Canvas: Homework problems are done over the web and provide instant feedback as to whether you have done a problem correctly or not. When you have done a problem correctly, your credit for the problem is immediately recorded in the database. You are encouraged to discuss problems with other students, however WebAssign problems are individualized for each student, so you must do your own assignment. These problems count for 200 of the total 1000 points. There will be approximately 3-4 online assignments each week (one for each section of the textbook), each consisting of about 20 problems. Although these problems are presented on WebAssign, they should be solved neatly, solutions written on paper and only the final answer should be entered into WebAssign to check if it is correct.
Optional Extra Credit Homework: To encourage writing these neat solutions, up to 40 points extra credit (4 percentage points) will be given for presenting all written homework assignments during office hours (twice during the entire semester, sometimes around the midterm and around the final). This process will be divided in two. Sections that will appear on the midterm exam could be reviewed during the week of the midterm for 20 points and the rest are due the week of the final exam for the remaining 20 points. It is important to solve ALL homework problems, as similar problems will undoubtedly appear on the midterm, final, and on the weekly quizzes.

Tests and Quizzes:
Weekly quizzes (10 points each, up to 100 points altogether). Quizzes will be given weekly, and the times will NOT be announced beforehand. Mystery: thy name is Multivariable Calculus...
One in-class midterm (200 points). The dates for the midterm will be anounced in class a week in advance, a tentative date is: October 15th 2020. Implicit in your registration for this class is the affirmation that you will be present to take all examinations.
Online Chapter Tests: Four online chapter tests (total 150 points) will be given, one at the end of each chapter. They are similar to the online homework problems, but each question can only be attempted once.
Final exam: The final exam (300 points) is comprehensive and is scheduled: for Section 01 on Friday Dec 18 at 8:00 - 10:30AM and for Section 02 on Monday Dec 14 at 8:00 - 10:30AM.
Homework: 200 points
In-class Participation: 50 points, synchronous attendance and participation.
Important Notes: As a general rule, there will be no make-up labs, no make-up tests, no make-up quizzes. All important course announcements will be on Canvas as well.

Grading: Total 1000 points, distributed as follows:

  1. Midterm Exam: 200 points
  2. Weekly quizzes: 100 points
  3. Final Exam: 300 points
  4. Homework: 200 points
  5. Online Chapter Tests: 150 points
  6. In-class Participation: 50 points
  7. Extra-Credit: various

Tentative scale:
Score of at least (%) 92 90 87 83 80 77 73 70 67 63 60
Letter Grade A A- B+ B B- C+ C C- D+ D D-

Course Learning Outcomes:
1. Students will understand and apply the concepts of several variables and functions of several variables to different contexts.
2. Sudents will relate multivariable calculus to real-world problems.
3. Students will prove basic results in multivariable calculus.
4. Students will be able to write solutions to problems and extend theoretical proofs to examples.

Program Learning Outcomes
1. Graduates will be able to communicate mathematical ideas orally and in writing
2. Graduates will be able to read university level mathematical texts.
3. Graduates will be able to prove basic results in mathematics.
4. Graduates will be able to read professional literature in mathematics.

Course Accommodations: If you need course adaptations or accommodations because of a disability please make an appointment to discuss this with the instructor as soon as possible. No course adaptations, accommodations, or special treatment will be given without written justification from the Chapman University Disability Services. Their office is located inside Student Psychological Counseling Services (410 N. Glassell St.).

Collaboration and Academic Honesty: Collaboration on homework is encouraged. Group discussions and study sessions can be useful tools for learning. However, outright copying is unacceptable. A good rule of thumb is that it is fine to talk together about how to do a problem, but then go do it and write it up yourself, possibly comparing answers afterwards if you are unsure. Exams are intended to be an individual effort. Therefore, no collaboration is permitted on exams, which includes discussing an exam with any student taking it at a different time. In addition to these specific examples, Chapman University's academic honesty policy applies to this course. If you are unsure whether an activity would constitute a violation of the academic honesty policy, please ask the instructor.

Equity and Diversity: Chapman University is committed to ensuring equality and valuing diversity. Students and professors are reminded to show respect at all times as outlined in Chapman's Harassment and Discrimination Policy: http://tinyurl.com/CUHarassment-Discrimination. Any violations of this policy should be discussed with the professor, the Dean of Students and/or otherwise reported in accordance with this policy.

Expectations: I expect that everyone will maintain a classroom conducive to learning. I like an informal atmosphere, but it must be orderly. Thus, everyone is expected to behave with basic politeness, civility, and respect for others. In particular, talking in class is ok if it's part of a class discussion or with me. Private communications are not, especially during exams. Neither are reading extraneous materials, using electronic equipment, or sleeping. Suggestions for improvement are welcome at any time. Any concern about the course should be brought first to my attention.

Student Support at Chapman University: Over the course of the semester, you may experience a range of challenges that interfere with your learning, such as problems with friend, family, and or significant other relationships; substance use; concerns about personal adequacy; feeling overwhelmed; or feeling sad or anxious without knowing why. These mental health concerns or stressful events may diminish your academic performance and/or reduce your ability to participate in daily activities. You can learn more about the resources available through Chapman University Student's Psychological Counseling Services here:

https://www.chapman.edu/students/health-and-safety/psychological-counseling/

Fostering a community of care that supports the success of students is essential to the values of Chapman University. Occasionally, you may come across a student whose personal behavior concerns or worries you, either for the student's well-being or yours. In these instances, you are encouraged to contact the Chapman University Student Concern Intervention Team who can respond to these concerns and offer assistance:

https://www.chapman.edu/students/health-and-safety/student-concern/index.aspx

While it is preferred that you include your contact information so this team can follow up with you, you can submit a report anonymously. 24-hour emergency help is also available through Public Safety at 714-997-6763.

Dr. Mihaela Vajiac
Dept Math/CS
Chapman University. Last modified: Sun May 31 10:39:41 PDT 2020