Math 2413: Calculus I

Instructor:	Clarence McGuff, Professor of Mathematics
Contact info:	Office Phone:  223 – 4786	Home phone: 255 – 2613
	Email: camcguff@austincc.edu	Web:   http://www.austincc.edu/camcguff
	You may call me at home or email me with questions about math problems or to let me know about any other problems. DO NOT call me at home about grades. I will not discuss grades over the phone or via email.
Office:	Northridge 2150  inside 2149
Office Hours:	See opening web page for current office hours
	I am available other times by appointment. Call me or email me to set up a time.
Prerequisites:	a C or better in  MATH 2412: PreCalculus (or an equivalent)
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 5 tests, each worth 100 points, test 5 is cumulative. 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 600 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 Grade Policy 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.
Withdrawal:	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. (If you decide to stop coming, you had best make sure that you drop the course. While I MIGHT do this, it is YOUR responsibility. If you fail to do so, you could receive an F on your permanent record.) After the withdrawal deadline, neither the student nor the instructor may initiate a withdrawal. If you are withdrawn by mistake, I will only consider reinstating you if you have taken all necessary tests, are current in your homework, and have not missed an excessive number of classes. The withdrawal deadline for is see opening web page for drop date.
Attendance:	Attendance is required in this course.  It is extremely important for you to attend class regularly. Although I may not take regular attendance, I MAY drop you from the course for excessive absences, although I make no commitment to do so.
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.

MATH 2414 Calculus II

Textbook: Calculus, Concepts and Contexts, 3^rd edition, Stewart, Brooks Cole, 2005

Supplemental Material for Students: Student Solutions Manual by Jeffrey A. Cole, Study Guide by Dan Clegg

Technology required: Technology required: You must have access to technology that enables you to (1) Graph a function. (2) Find the zeroes of a function. (3) Do numerical integration.

COURSE DESCRIPTION:  MATH 2413 CALCULUS I (4-4-0).   A standard first course in calculus. Topics include inequalities; functions; limits; continuity; the derivative; differentiation of algebraic functions and trigonometric functions; Newton's method; applications of the derivative; the integral; integration of algebraic functions and the sine and cosine functions; numerical integration; and applications of the integral. Prerequisites: MATH 2412 with C or better or equivalent. Another option is an appropriate secondary school course (one year of precalculus or the equivalent, including trigonometry, with a B or better) and a satisfactory entrance score on the ACC Mathematics Assessment Test.

INSTRUCTIONAL METHODOLOGY: This course is taught primarily through a lecture format. Additional methods such as using projects or laboratories may be used by individual instructors.

COURSE RATIONALE:  This course is the first course in the traditional calculus sequence for mathematics, science and engineering  students. It is part of what could be a four-semester sequence in calculus courses. The approach allows the use  of technology and the rule of four (topics are presented geometrically, numerically, algebraically, and verbally)  to focus on conceptual understanding.  At the same time, it retains the strength of the traditional calculus by  exposing the students to the rigor of proofs and the full variety of traditional topics: limits, continuity,  derivative, applications of the derivative, and an introduction to the definite integral.

 

Course Outline and Calendar:
Please note:  schedule changes may occur during the semester.
Any changes will be announced in class.

Time required and outside help: To do homework and study requires two or three times as much time outside of class as the time you spend in class in order to succeed in this course. If you need more out-of-class help than you can obtain in your instructor's office hours, free tutoring is available in any of ACC's Learning Labs. A few lab classes are available. See the course schedule.

Attendance is required in this course. Students who miss more than 4 classes may be withdrawn. After the withdrawal date each semester, neither the student nor the instructor may initiate a withdrawal. It is the student's responsibility to initiate all withdrawals in this course. The instructor may withdraw students for excessive absences (4) or failure to meet course objectives but makes no commitment to do this for the student.

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 have a personal tragedy occur after the last date to withdraw which prevents course completion.

TESTING CENTER POLICY:  ACC Testing Center policies can be found at: http://www.austincc.edu/testctr/.  Deadlines for all tests will be announced in class.  Any tests taken after the announced deadline are considered late.

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

INSTRUCTIONAL SERVICES:  The web address is:  http://www3.austincc.edu/evpcss/memos/reference.htm , then click on “Campus Based Student Support Overview”.

Course-Specific Support Services

Sometimes sections of MATH 0189 (1-0-2) are offered. The lab is designed for students currently registered in Calculus II, MATH 2414. 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, but not all tutors can help with this class. Check in advance . The locations, contact information and hours of availability of the Learning Labs are posted at: http://www2.austincc.edu/rvslab/labhours.htm

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.

Time required and outside help: To do homework and study requires two or three times as much time outside of class as the time you spend in class in order to succeed in this course. Free tutoring is available in the Learning Labs (see above) and your instructor has office hours and can give some extra help, of course.

Additional information about ACC's mathematics curriculum and faculty is available on the Internet at http://www.austincc.edu/math/

Calculus I, MATH 2413, Learning Outcomes

1.     Find limits of functions (graphically, numerically and algebraically)

2.     Analyze and apply the notions of continuity and differentiability to algebraic and transcendental functions.

3.     Determine derivatives by a variety of techniques including explicit differentiation, implicit differentiation, and logarithmic differentiation. Use these derivative to study the characteristics of curves. Determine derivatives using implicit differentiation and use to study characteristics of a curve.

4.     Construct detailed graphs of nontrivial functions using derivatives and limits.

5.     Use basic techniques of integration to find particular or general antiderivatives.

6.     Demonstrate the connection between area and the definite integral..

7.     Apply the Fundamental theorem of calculus to evaluate definite integrals.

8.     Use differentiation and integration to solve real world problems such as rate of change, optimization, and area problems.

Prerequisites for Calculus

There are two calculus sequences at ACC (and at most colleges) -- Business Calculus and Calculus.  The prerequisite sequence is different for these.  Depending on background, students may start the prerequisite sequence at different places

Intermediate Algebra (MATD 0390)			Intermediate Algebra (MATD 0390)
i	(B or higher)* i i i		i	i
College Algebra** (MATH 1314)			Math for Bus & Eco (MATH 1324)	College Algebra (MATH 1314)
i			i        i
Trigonometry (MATH 1316)			Business Calculus I (MATH 1425)
i			i
Precalculus (MATH 2412)			Business Calculus II (MATH 1476)
i
Calculus I (MATH 2413)
i
Calculus II (MATH 2414)
i
Calculus III (MATH 2415)

Where to start:  The only way that students may skip courses in a sequence is to begin higher in the sequence, based on current knowledge of material from high school courses.