Syracuse University

Syllabus for MAT 397, Calculus III

2020-2021

 

 

 

 

 

How to Succeed - Here are a few basic suggestions for how to succeed in this course.

1. Get Help - Assigned homework problems and other problems will be discussed in class in order to give you an opportunity to ask questions on assigned problems and the underlying methods for solution. If you don't get answers to all your questions during class, take them to the instructor during office hours. If special circumstances exist, it may be possible to arrange a meeting outside of these times.

 

1. Understand the homework! It is absolutely essential that you understand all the material from the homework assignments, independently and without external assistance. You must understand exactly how and why the concepts and techniques provided in lecture can be used to answer these questions (they can!). It is especially important that you can recognize the best concept or technique for each type of goal.

 

 

1. Ask questions! Nothing makes sense immediately, and it is better to ask a question early than to be confused for the rest of class. Instructors are usually very happy to receive questions, and most can remember having similar questions when they were students. Even if you feel that you cannot ask a “complete” question, try to ask anyway – many times your instructor can guess what you mean.

 

1. Stay up-to-date! Mathematical concepts build on each other cumulatively and you need to be knowledgeable about each layer as it occurs. If you are having difficulty, don’t expect that the problem will disappear – contact your instructor and work together to resolve it. It is common to fall behind once or twice, due to illness or schedule problems, but if you ignore the problem then you will quickly lose control of the course.

 

5. Form a Study Group! Many students benefit from participating in a study group with their peers, to work through challenging homework and review for exams. You should attempt the problems ahead of time by yourself and then work through any difficulties with your study partners. Explaining your reasoning to another student can help to clarify your own understanding.

 

6. Expect to work hard! Don’t be discouraged if you find some of the material very difficult. Be persistent and patient. You might be surprised to learn how much time and effort is invested by students who eventually receive high scores and, anyway, it is not important whether you invest more or less than another student – what is important is that you succeed.

 

 

 

General Course Policies

 

Special Needs and Accommodations

Syracuse University welcomes people with disabilities and, in compliance with the Rehabilitation Act of 1973 and the Americans with Disabilities Act, does not discriminate on the basis of disability.  Students who require special consideration due to a learning or physical disability or other situation should discuss this with the instructor right away.

 

Use of Student Academic Work

It is understood that registration for and continued enrollment in this course constitutes permission by the student for the instructor to use for educational purposes any student work produced in the course, in compliance with the federal Family Educational Rights and Privacy Act (FERPA).  After the completion of the course, any further use of student work will meet one of the following conditions: (1) the work will be rendered anonymous through the removal of all personal identification of the student(s); or (2) written permission from the student(s).

 

Academic Integrity

Syracuse University’s Academic Integrity Policy reflects the high value that we, as a university community, place on honesty in academic work. The policy defines our expectations for academic honesty and holds students accountable for the integrity of all work they submit. Students should understand that it is their responsibility to learn about course-specific expectations, as well as about university-wide academic integrity expectations. The policy governs appropriate citation and use of sources, the integrity of work submitted in exams and assignments, and the veracity of signatures on attendance sheets and other verification of participation in class activities. The policy also prohibits

 

 

 

students from submitting the same work in more than one class without receiving written authorization in advance from both instructors. Under the policy, students found in violation are subject to grade sanctions determined by the course instructor and non-grade sanctions determined by the School or College where the course is offered as described in the Violation and Sanction Classification Rubric. SU students are required to read an online summary of the University’s academic integrity expectations and provide a signature agreeing to abide by them. For more information about the policy, see http://academicintegrity.syr.edu.

 

The Violation and Sanction Classification Rubric establishes recommended guidelines for the determination of grade penalties by faculty and instructors, while also giving them discretion to select the grade penalty they believe most suitable, including course failure, regardless of violation level. Any established violation of the policy in this course will result in a failing grade for the course.

 

Use of a calculator on any exam is a violation of the Academic Integrity Policy. Calculators may only be used on quizzes if the instructor explicitly permits their use for the quiz in question.

 

 

Related links:

Summary of SU’s AI Expectations—Know the Code: http://academicintegrity.syr.edu/know-the-code-sus-ai-expectations/

Ten Questions—and Answers—Every SU Undergraduate Needs to Know about Academic Integrity:  http://academicintegrity.syr.edu/10-qas-for-undergraduate-students/

Tools for Understanding the Use of Sources:  http://academicintegrity.syr.edu/resources-for-understanding-use-of-sources/

 

 

Religious Observance

SU religious observances notification and policy, found at http://hendricks.syr.edu/spiritual-life/index.html, recognizes the diversity of faiths represented among the campus community and protects the rights of students, faculty, and staff to observe religious holidays according to their tradition.  Under the policy, students are provided an opportunity to make up any examination, study, or work requirements that may be missed due to a religious observance provided they notify their instructors.

 

Questions & Concerns - Please contact your instructor if you have any questions or concerns. If your concern is not addressed to your satisfaction, or if you prefer not to contact your instructor in this case, please contact the Course Supervisor

Course Supervisor:

Professor Dan Zacharia

Phone: 315-443-1580

email: [email protected]

MAT 397, Calculus III

Topic Sequence and Homework

 

 

 

Unit 1: Vectors and the Geometry of Space

 

Readings and Exercises:

 

12.1: # 3, 7, 9, 11, 13, 17, 21, 23, 27, 33, 43

 

12.2: # 1, 5, 7, 9, 13, 15, 21, 25, 29, 31, 43, 45

 

12.3: # 3, 5, 9, 11, 19, 23, 27, 31, 41, 49

 

12.4: # 1, 5, 7, 19, 27, 31, 33, 37 39, 43, 44, 48, 49, 53

 

12.5: # 1, 3, 5, 9, 12, 13, 16, 17, 19, 21, 27, 33, 35, 37, 39, 43, 45, 53, 55, 59, 67, 73, 79

 

12.6: # 1, 3, 5, 9, 13, 19, 21 – 28, 33, 43, 45

 

Exam 1: Week of September 28, 2020

 

 

 

Unit 2: Vector Functions

 

Readings and Exercises:

 

13.1: # 1, 3, 5, 7, 11, 13, 19, 21 – 27, 41, 43

 

13.2: # 3 – 25 ODD, 35 – 41 ODD

 

13.3: # 1 – 6, 11, 17, 19, 31

 

13.4: # 3, 5, 9, 11, 15, 19, 22 – 25, 27, 29, 37, 39

 

Exam 2: Week of October 26, 2020

 

 

 

Unit 3: Partial Derivatives

 

Readings and Exercises:

               

14.1: # 1, 6, 7, 9, 11, 15, 19, 23, 27, 29, 31

 

14.2: # 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 25, 29, 31, 33, 35, 37, 39, 41

 

14.3: # 5, 7, 15 – 22, 33 – 38, 42, 44, 47 – 67 ODD, 73, 95

 

14.4: # 1, 3, 5, 11, 13, 15, 19, 21, 25 - 33, 35, 39, 40

 

14.5: # 1 – 35 ODD, 39, 41, 43

 

Exam 3: Week of November 23, 2020

 

 

Readings and Exercises:

 

14.6: # 7 – 33 ODD, 41, 43, 45, 49, 55, 57, 59, 63

 

14.7: # 5 – 17 ODD, 29 – 35 ODD, 39, 41, 43, 47, 51

 

14.8: # 3 – 21 ODD, 42, 43

 

Exam 4: Week of December 21, 2020

 

 

 

Unit 4: Multiple Integrals

 

Readings and Exercises:

 

15.1: # 1, 5, 7, 11, 12, 13

 

15.2: # 1 – 27 ODD, 31, 35, 37

 

15.3: # 1 – 31 ODD, 43 – 53 ODD, 59, 63, 65, 67

 

15.4: # 1 – 21 ODD, 25, 27, 29, 31

 

15.5: # 3, 5, 7, 11, 13, 15, 17, 19

               

15.6: # 1, 3, 5, 7, 9, 11

 

Exam 5: Week of February 8, 2021

 

 

 

 

 

15.7: # 3, 5, 7, 9, 11, 13, 15, 17, 19, 20, 26, 27, 28, 34

 

15.8: # 1, 3, 5, 7, 9, 11, 17 – 24, 29, 30

 

15.9: # 1 – 19 ODD, 21 – 29 ODD, 35, 39, 41

 

15.10: # 1 – 19 ODD, 23 – 27

 

Exam 6: Week of March 15, 2021

 

 

 

Unit 5: Vector Calculus

 

Readings and Exercises:

 

16.1: # 1 – 17 ODD, 21, 23, 25, 33

 

16.2: # 1 – 21 ODD, 33, 39

 

16.3: # 3, 5, 7, 9, 13, 15, 17

 

16.4: # 3, 7, 9, 11, 13, 17

 

16.5: # 1 – 19 ODD

 

Exam 7: Week of May 3, 2021

 

 

Readings and Exercises:

 

16.6: # 3 – 6, 13 – 18, 19 – 25 ODD, 39 – 49 ODD

 

16.7: # 5 – 31 ODD

 

16.8: # 2 – 10

 

16.9: # 5 – 13

 

 

 

FINAL EXAM: June 2, 2021 & June 3, 2021