CALCULUS III

MATH 30524

Spring 2019

 

The calculus is the greatest aid we have to the application of physical truth

in the broadest sense of the word.- Osgood, W. F.

 

Course Web Site:       http://faculty.tcu.edu/gfriedman/calc3

Instructor:                   Greg Friedman

e-mail:                        g.friedman@tcu.edu

Office:                        309 Tucker Technology Center

Phone:                         X6343

Office Hours:              Please see my schedule for official office hours. If you can’t make it at the official times, feel free to drop by at any time – I’m usually available most afternoons. We can also make a specific appointment for another time, or you can ask questions by e-mail at any time.

 

Class Schedule:          MF 12:00-12:50 PM, TTh 11:30 AM-12:20 PM in WIN 170

Final Exam:                Tuesday, May 7, 11:00 AM-1:30 PM

Required Text:            Calculus: Early Transcendental Functions by Larson and Edwards, 6th edition or Multivariable Calculus by Larson and Edwards, 10th edition

 

Prerequisites:              Students are expected to be expert at first and second semester calculus, including but not limited to the following topics: functions and graphs, lines, polynomials, basic algebra, trigonometry, inverse functions, exponentials and logarithms, limits, derivatives, antiderivatives, definite integrals, the Fundamental Theorems of Calculus, and integration techniques.

 

Asking questions:       Please ask questions in class. It helps me know what needs to be explained better, and it makes classmates grateful that someone had the courage to ask. You are also encouraged to ask questions before class, after class, in my office hours, by e-mail, over telegraph, and every other possible way. Don't be shy.

Calculators:                 Most of the assignments will not require you to use calculator. Occasionally a simple graphing calculator might be helpful. TI calculators are the recommended standard for the department, but you can use any calculator you wish for assignments. For quizzes and exams, you may not use TI 89 calculators or other calculators with symbolic capabilities.

Course Policies and Procedures

Exams: There will be three in-class midterm exams plus the final exam; see the calendar below (dates subject to change).

Quizzes: There will be a short quiz in class every Friday unless there is an exam.

Homework: Homework problems will be assigned via the course website at http://faculty.tcu.edu/gfriedman/calc3/calc3hw.html . Problems will be listed by textbook section and due at the beginning of the second class session following completion of the textbook section in class (due dates will be listed with the problems). You may discuss homework problems with others and are encouraged to come to me for help at any time. You may collaborate on homework problems, BUT solutions must be written up individually. In other words, you may work in groups in attempting to solve problems, but you must write up solutions on your own and demonstrate your own mastery of the solution. It is imperative that you learn the material for yourself; there will be no collaboration on exams. Unexcused late problem sets will not be graded and will count as a 0 toward your overall homework grade.

Grading: Your final average will be determined approximately as follows: 26% for the final exam, 18% for each midterm exam, 15% for quizzes, and 5% for homework. A cumulative average of 90% or above guarantees at least an A-, a cumulative average of 80% or above guarantees at least a B-, a cumulative average of 70% or above guarantees at least a C-, and a cumulative average of 60% or above guarantees at least a D-. Actual grade lines will be determined by the instructor; lower numerical averages might earn higher letter grades.

On Concepts and Reading: On exams, quizzes, and homework you will be tested not just on your ability to perform calculations but also on your understanding of concepts discussed in class and in the book. Therefore, it is important for you to read the material in the text (which you will be responsible for) and to study notes from class as well as other notes I may provide. You are responsible for reading the material, understanding it, and being able to apply these ideas; I am responsible for helping you to do this by discussing the ideas from the reading with you. But class lectures are not a substitute for reading and learning on your own.

Attendance: Attendance is expected. You are responsible for all material and information from all class sessions, for handing in all homework on time, and for taking all exams at the appointed times.

Make-ups and accommodations: In the event that you will be unable to take an exam on time, an official written excuse is required. I expect to be notified at least one week in advance except in the case of documentable serious emergency, and in all cases I expect to be notified as soon as reasonably possible. Excuses may also be given by me to hand in homework late, again provided that a reasonable request is made in advance or proof of emergency situation is presented. Failure to abide by this policy will result in loss of course credit. For any special accommodations or rescheduling you may need, it is your responsibility to contact me at least one week in advance.

Accommodations: For any special university-granted accommodations or rescheduling you may need, it is your responsibility to contact me at least one week in advance. Exams requiring extra time will be given in the college testing center.

Plagiarism: Looking up answers to homework questions online or anywhere else constitutes plagiarism and will result in a zero for an assignment and further disciplinary action, including but not limited to reporting to the dean’s office. It is acceptable to look up general information, such as a Google search for “hypothesis testing” or even general reference material for more specific techniques or examples of certain types of computations. It is not acceptable to look up solutions to specific problems or directly equivalent problems anywhere. If you have any question about the acceptability of any resource not expressly provided for the course, you should ask first.

 

Course Schedule and Syllabus

 

We will cover roughly chapters 11 through 14 of the text, as well as some of Chapter 10, topics including:  Vectors, dot products, cross products, lines, planes, surfaces, vector valued functions, tangent vectors, arc length, functions of several variables, partial derivatives, directional derivatives, gradients, tangent planes, extrema, Lagrange multipliers, iterated integrals, integration in polar/cylindrical/spherical coordinates, vector fields, line integrals, surface integrals, Green's theorem, Divergence theorem, Stokes's Theorem.

 

The following calendar of should be taken as a rough guideline, subject to change:

 

 

Week

Start Date

Text Sections

Special

1

Jan. 14

11.1-11.3

 

2

Jan. 21

11.4-11.5a, 12.1

Jan. 21 – MLK holiday

3

Jan. 28

12.2, 12.3, 12.5

4

Feb. 4

11.5, 11.6, 13.1

 

5

Feb. 11

13.2, 13.3

Feb. 12 - Exam 1

6

Feb. 18

13.5-13.7

 

7

Feb. 25

13.8-13.10

 

8

Mar. 4

14.1, 14.2

Mar. 8 – Exam 2

9

Mar. 11

Spring Break

10

Mar. 18

10.4, 14.3, 14.4*

 

11

Mar. 25

14.6, 11.7, 14.7

 

12

Apr. 1

15.1-15.3

Apr. 1 – Last day to drop

13

Apr. 8

15.4

Apr 9 – Exam 3; Apr. 11 – Honors Convocation

14

Apr. 15

15.5, 15.6

Apr. 19 – Good Friday

15

Apr. 22

15.7, 15.8

 

16

Apr. 29

Review

Apr. 30 - Last day of class

17

May 6

Final Exam

Tuesday, May 7, 11:00 AM-1:30 PM

 

*-time permitting

 

 

University Policies

 

Statement of Disability Services at TCU

Texas Christian University complies with the Americans with Disabilities Act and Section 504 of the Rehabilitation Act of 1973 regarding students with disabilities.  Eligible students seeking accommodations should contact the Coordinator of Student Disabilities Services in the Center for Academic Services located in Sadler Hall, 1010.  Accommodations are not retroactive, therefore, students should contact the Coordinator as soon as possible in the term for which they are seeking accommodations. Further information can be obtained from the Center for Academic Services, TCU Box 297710, Fort Worth, TX 76129, or at (817) 257-6567.

 

Adequate time must be allowed to arrange accommodations and accommodations are not retroactive; therefore, students should contact the Coordinator as soon as possible in the academic term for which they are seeking accommodations.  Each eligible student is responsible for presenting relevant, verifiable, professional documentation and/or assessment reports to the Coordinator.  Guidelines for documentation may be found at http://www.acs.tcu.edu/disability_documentation.asp.


Students with emergency medical information or needing special arrangements in case a building must be evacuated should discuss this information with their instructor/professor as soon as possible.

 

Academic Misconduct:

**Academic Misconduct (Sec. 3.4 from the Student Handbook) –Any act that violates the academic integrity of the institution is considered academic misconduct. The procedures used to resolve suspected acts of academic misconduct are available in the offices of Academic Deans and the Office of Campus Life and are listed in detail in the Undergraduate Catalog (Student Policies>Academic Conduct Policy Details; http://catalog.tcu.edu/undergraduate/). Specific examples include, but are not limited to:

 

Netiquette: Communication Courtesy Code

All members of the class are expected to follow rules of common courtesy in all email messages, threaded discussions and chats.  If I deem any of them to be inappropriate or offensive, I will forward the message to the Chair of the department and the online administrators and appropriate action will be taken, not excluding expulsion from the course. The same rules apply online as they do in person.  Be respectful of other students.  Foul discourse will not be tolerated.  Please take a moment and read the following link concerning "netiquette".

 

All students are expected to have a tcu.edu e-mail address and to check it regularly.