MATH 2415 - Calculus III
See opening web page for course specific info
INSTRUCTOR: Clarence A. McGuff, Professor of Mathematics
Office: NRG 2150 (inside 2149)
Phone: 512-223-4786
e-mail: camcguff@austincc.edu
web page: www.austincc.edu/camcguff
Office Hours: See opening web page for current office hours
Others by appointment. These may be made in person at class time, for that day, or by phone or e-mail for later days.
Please, in consideration of others, turn off or mute cell phones and pagers. During a test I do not want to see or hear a cell phone, violation of this could result in a loss of points.
COURSE DESCRIPTION
MATH 2415 CALCULUS III (4-4-0). A standard third course in calculus. Topics include polar coordinates and polar curves; vectors and analytical geometry in three dimensions; vector-valued functions and curvature; components of acceleration; functions of several variables; limits and continuity in three-space; partial and directional derivatives; gradients, tangent planes, and extreme of functions of two variables; multiple integrals in rectangular, polar, spherical, and cylindrical coordinates; applications of multiple integrals to area, volume, moments, centroids, and surface area. Prerequisites: MATH 2414 or its equivalent. (MTH 2154)
COMMON COURSE OBJECTIVES:MTH 2415, Calculus III
. They can also be found at:
http://www2.austin.cc.tx.us/mthdept2/tfcourses/obj2415.htm
REQUIRED TEXTS/MATERIALS
The required textbook for this course is:
Text: Calculus, Concepts and Contexts by Stewart, 3nd edition, Brooks/Cole, Multi Variable.
Optional: Study Guide
Technology required: Technology required: You must have access to technology which enables you to (1) Graph a function. (2) Find the zeroes of a function. (3) Do numerical integration.
This course is taught in the classroom primarily as a lecture/discussion course.
COURSE RATIONALE
The first two semesters of the calculus sequence dealt with material in two-dimensional rectangular Cartesian coordinates. A primary goal of Calculus III is to extend these ideas to three dimensions and to other coordinate systems. Therefore, in this course we introduce:
(i) several methods for interpreting graphs of multivariable functions
(ii) properties of vectors
(iii) differentiation and integration of multivariable functions
(iv) parametric equations of curves in two and three dimensions
(v) a mathematical description of motion in space
EVALUATION/GRADING SCHEME
Grades in this course will be based on the following numeric averages:
Below 60% “F” , 60% up to 70% “D” , 70% up to 80% “C” ,
80% up to 90% “B”, above 90% “A”
There will be 4 tests, each worth approximately 100 points. Up to 16 weekly quizzes (see below) and/or one or two projects the grades from which will be combined with a homework score for another 100 pts. This means that the grade in this class will be based on 500 points. Tests may be given in class or the testing center at the instructor’s desecration. A test taken after the announced deadline is late (see below).
Homework will be collected weekly, Monday or Tuesday, and will count as no more than 20 points of the 100 Quiz, project, homework points. Homework for a given test is expected to be completed before the test date and will be accepted up till that date; however, a grade penalty may be applied if most of the weekly assignment is not turned in when assigned.
Weekly Quizzes: Once a week there will normally be a quiz. It will not normally be problem solving but will, in most cases, ask for your explanation (usually a quotation of the definition or theorem will not suffice) of a basic theory concept. On a few quizzes I may ask you to copy a couple of the homework problems I assigned from your work. Since I will only count the top 70% to 80% of the quizzes no makeup will be given for a missed quiz.
Corrections: For each test taken on time, except for the last test of the semester, corrections may be done for up to 5 bonus points. Corrections must be completed before the next test or they will not be accepted.
Late tests: A test taken late will have the grade reduced by 10 points. No test, late or otherwise, may be taken after the original test is returned to the class. After that the test has been missed, see below.
Retake/makeup: I no longer give a retake/makeup on each test. You will still be allowed to makeup or replace one grade (of test 1, 2, or 3) only by taking a special comprehensive tests that will be given. The maximum score on this makeup will be in the mid 80’s. The time and place will be announced after test 3 and before the last week of school. If you miss one test then you must use this test as a makeup otherwise you may use this tests to replace one test grade from material covered by that test. If you miss two tests you will receive a non-removable zero on the second test.
Projects: There may be 1 or 2 required projects during the semester.
Student participation in class and lab activities is expected. This includes but is not limited to questions and/or comments during lecture, problem solving and/or correction methods both in class and labs. Please, however, keep in class talk between two class members on subject and not disruptive to the rest of the class.
Grades will not be discussed on the phone or via e-mail.
Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of "I", a student must have taken all examinations, be passing, and after the last date to withdraw, have a personal tragedy occur which prevents course completion.
Attendance/ Withdrawal Policy (withdrawal deadline is see opening page)
Attendance is required in this course. Students who miss more than 4 classes may be withdrawn
It is the student's responsibility to initiate all withdrawals in this course. The instructor may withdraw students for excessive absences (4) but makes no commitment to do this for the student. After the withdrawal date, neither the student nor the instructor may initiate a withdrawal. I will only reinstate a student if he was withdrawn by me in error and he is up to date course wise at the appropriate date.
The web address is: http://www3.austincc.edu/evpcss/memos/reference.htm
then click on “Campus Based Student Support Overview”.
Sometimes sections of MATH 0193(1-0-2) are offered. The lab is designed for students currently registered in Calculus III, MATH 2415. It offers individualized and group setting to provide additional practice and explanation. This course is not for college-level credit. Repeatable up to two credit hours. Students should check the course schedule for possible offerings of the lab class
ACC main campuses have Learning Labs which offer free first-come first-serve tutoring in mathematics courses. The locations, contact information and hours of availability of the Learning Labs are posted at: http://www2.austincc.edu/rvslab/labhours.htm
Statement on Scholastic Dishonesty"Acts prohibited by the college for which discipline may be administered include scholastic dishonesty, including but not limited to, cheating on an exam or quiz, plagiarizing, and unauthorized collaboration with another in preparing outside work. Academic work submitted by students shall be the result of their thought, work, research or self-expression. Academic work is defined as, but not limited to, tests, quizzes, whether taken electronically or on paper; projects, either individual or group; classroom presentations; and homework.”
Students who violate the rules concerning scholastic dishonesty will be assessed an academic penalty which the instructor determines is in keeping with the seriousness of the offense. This academic penalty may range from a grade penalty on the particular assignment to an overall grade penalty in the course, including possibly an F in the course. ACC's policy can be found in the Student Handbook page 33 or on the web at: http://www.austincc.edu/marketng/handbook/student_handbook_02-03.pdf.
Recommended Statement on Student DisciplineClassroom behavior should support and enhance learning. Behavior that disrupts the learning process will be dealt with appropriately, which may include having the student leave class for the rest of that day. In serious cases, disruptive behavior may lead to a student being withdrawn from the class. ACC's policy on student discipline can be found in the Student Handbook page 32 or on the web at: http://www.austincc.edu/marketng/handbook/student_handbook_02-03.pdf.
Statement on Students with Disabilities"Each ACC campus offers support services for students with documented physical or psychological disabilities. Students with disabilities must request reasonable accommodations through the Office of Students with Disabilities on the campus where they expect to take the majority of their classes. Students are encouraged to do this three weeks before the start of the semester.”
Students who are requesting accommodation must provide the instructor with a letter of accommodation from the Office of Students with Disabilities (OSD) at the beginning of the semester. Accommodations can only be made after the instructor receives the letter of accommodation from OSD.
Statement on Academic Freedom"Institutions of higher education are conducted for the common good. The common good depends upon a search for truth and upon free expression. In this course the professor and students shall strive to protect free inquiry and the open exchange of facts, ideas, and opinions. Students are free to take exception to views offered in this course and to reserve judgment about debatable issues. Grades will not be affected by personal views. With this freedom comes the responsibility of civility and a respect for a diversity of ideas and opinions. This means that students must take turns speaking, listen to others speak without interruption, and refrain from name-calling or other personal attacks."
MATH 2415|
Week |
16-Week Semester |
11-Week Semester |
|
1 |
Appendices B, review parametric curves |
Appendices B, H1, H2 |
|
2 |
H1, H2, 9.1 |
9.1, 9.2, 9.3 |
|
3 |
9.1, 9.2, 9.3 |
9.4, 9.5, 9.6, Test |
|
4 |
9.3, 9.4, 9.5 |
9.7, review parametric curves, 10.1 |
|
5 |
9.6, Test |
10.2, 10.3, 10.4 |
|
6 |
10.1, 10.2 |
Test, 11.1, 11.2, 11.3 |
|
7 |
10.3, 10.4 |
11.4, 11.5, 11.6 |
|
8 |
Test, 11.1, 11.2, |
11.7, 11.8, Test, 12.1 |
|
9 |
11.3, 11.4 |
12.2, 12.3, 12.4 |
|
10 |
11.5, 11.6 |
12.5, 12.6, 12.7 |
|
11 |
11.7, 11.8, Test |
12.8, Review, Exam |
|
12 |
9.7, 12.1, 12.2 |
|
|
13 |
12.3, 12.4 |
|
|
14 |
12.5, 12.6 |
|
|
15 |
12.7, 12.8 |
|
|
16 |
Review, Exam |
Please note: schedule changes may occur during the semester. Any changes will be announced in class.
TESTING CENTER POLICY
ACC Testing Center policies can be found at: http://www.austincc.edu/testctr/
When a test is given in the testing center a deadline will be given and if a test is not taken by that deadline it will be considered as a missed test, see grading policy above.
STUDENT SERVICES
The web address for student services is: http://www3.austincc.edu/evpcss/rss/Default.htm.
The ACC student handbook can be found at: http://www3.austincc.edu/evpcss/handbk/toc.htm.