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

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. 

1. A student who needs a review of high school Algebra II will start in Intermediate Algebra (or below.) 
2. A student who completed high school Algebra II, but no higher, and whose assessment test score indicates that he/she remembers that algebra, will start in College Algebra or Math for Business & Economics.  A substantially higher assessment test score enables the student to start in Trigonometry.
3. A student who completed some precalculus, elementary analysis, or trigonometry in high school, and whose assessment test score indicates that he/she remembers algebra, is eligible to start higher in the sequence than College Algebra.  Check the catalog or the math web page.***

* The material in the Trigonometry course requires that students are quite adept with the skills from high school Algebra II (Intermediate Algebra).  Some students will achieve that level of skill in the College Algebra course if their placement score is high enough, while others need an additional semester of work on algebra that is done in two courses, Intermediate Algebra and College Algebra. 

** Some students who are very successful in College Algebra are tempted to skip either Trigonometry or Precalculus and enroll in Calculus I. That is not acceptable.  Trigonometry topics are essential to success in Calculus, and while it is true that the topic list for Precalculus has only a few additions from the topic list for College Algebra, the level of sophistication of the presentation and the problems on all topics is greater in Precalculus. That increased sophistication is necessary for an adequate background for the Calculus sequence. ***  

The only required reading in this class is the textbook itself.  THAT IS A GIVEN!!!

Calculus I   Math 2413-022:  #36655                            Dr. Bret E. Evans   bevans1@austincc.edu

Room 1219    MW  6:05-7:50 P.M.                               Office:   1205       223-0093

Fall 2011-2012     RRC                                                  Hours: 3-3:30, 5:30-6:00 P.M    M W                                                                                                                                                                           

TEXT:  Calculus: Concepts and Contexts,  4^thed.    by James Stewart, Brooks/Cole 2010                                                                  

                    (Single Variable edition, for Cal I and Cal II:  through Ch. 8)                                                                                                                                                                                                                                                                  

                                                                                                                          Monday        Wednesday

ATTENDANCE:  Regular, punctual attendance at all class meetings is     an ordinary, expected procedure for all students.  I have the option of dropping a student who is not demonstrating continued progress toward the course goals [for example: a regular pattern of absences, combined with failing grades].  PLEASE NOTE, HOWEVER:  If a student wishes to withdraw from the course (by November 17: see the calendar) in order to receive a W grade, THE STUDENT should do so.

I do NOT assume this responsibility for the student.

TESTING:  There will be four required exams (see the calendar) and an optional comprehensive Final Exam.  All exams are given in the classroom.  The Final Exam may replace ONE of the following:

a missed exam (except #4), a low exam grade or the Quiz Average.

HOMEWORK:  The homework assignments are on the back of this page.  I will not collect homework, but I expect it to be done.   There will be a regular pattern of usually unannounced short quizzes over the homework assignments, plus a number of ‘take-home’ quizzes.  There are no make-ups for a missed quiz.  A number of the quiz grades will be dropped (depending on the number given) and the remainder will be averaged for the Quiz Average.

GRADING:   A:  90 to 100 average on five grades:

                           (four exams and the Quiz Average) OR (five exams)

                       B:  80 to 89

                       C:  70 to 79

                       D:  60 to 69

                       F: below 60

                       I : Seldom granted.  ONLY assigned to a student who is otherwise passing the course, has done all required work, but has had a personal tragedy or accident that prevents him from taking exam four.

**   YES, WE ARE HAVING A NORMAL CLASS ON

**   WEDNESDAY BEFORE THANKSGIVING BREAK.

You will need a scientific calculator (NOT a graphing calculator) for this course.  A cell phone is NOT to be used as a calculator.  If that is the only calculator you have, then you do not have a calculator. 

A free, powerful graphing program for PC or Mac  (WINPLOT) can be found at  math.exeter.edu/rparris/winplot.html.   If you have a USB flash drive, I can give you a copy.

PLEASE DO NOT USE A CELL PHONE IN CLASS FOR ANY REASON.  If you are using a cell phone (voice, texting, tweeting, twittering, tooting, whatever) you can be excused from class. 

Calculus I   Math 2413-022:  #36655                            Dr. Bret E. Evans   bevans1@austincc.edu

Room 1219    MW  6:05-7:50 P.M.                               Office:   1205       223-0093

Fall 2011-2012     RRC                                                  Hours: 3-3:30,    5:30-6 mw

TEXT:  Calculus: Concepts and Contexts,  4^thed.    by James Stewart, Brooks/Cole 2010      

(Single vairable   edition: Cal I and II through Ch. 8)                                                                                    ,                                                                                                                                                                                                     

                                                                                                                                                        Monday        Wednesday

ATTENDANCE:  Regular, punctual attendance at all class meetings is     an ordinary, expected procedure for all students.  I have the option of dropping a student who is not demonstrating continued progress toward the course goals [for example: a regular pattern of absences, combined with failing grades].  PLEASE NOTE, HOWEVER:  If a student wishes to withdraw from the course (by November 28: see the calendar) in order to receive a W grade, THE STUDENT should do so.

I do NOT assume this responsibility for the student.

TESTING:  There will be four required exams (see the calendar) and an optional comprehensive Final Exam.  All exams are given in the classroom.  The Final Exam may replace ONE of the following:

a missed exam (except #4), a low exam grade or the Quiz Average.

HOMEWORK:  The homework assignments are on the back of this page.  I will not collect homework, but I expect it to be done.   There will be a regular pattern of usually unannounced short quizzes over the homework assignments, plus a number of ‘take-home’ quizzes.  There are no make-ups for a missed quiz.  A number of the quiz grades will be dropped (depending on the number given) and the remainder will be averaged for the Quiz Average.

GRADING:   A:  90 to 100 average on five grades:

                           (four exams and the Quiz Average) OR (five exams)

                       B:  80 to 89

                       C:  70 to 79

                       D:  60 to 69

                       F: below 60

                       I : Seldom granted.  ONLY assigned to a student who is otherwise passing the course, has done all required work, but has had a personal tragedy or accident that prevents him from taking exam four.

***   YES, WE ARE HAVING A NORMAL CLASS ON

***   WEDNESDAY BEFORE THANKSGIVING BREAK.

You will need a scientific calculator (NOT a graphing calculator) for this course.  A cell phone is   NOT to be used as a calculator.  If that is the only calculator you have, then you do not have a calculator. 

       MATH 2413  Calculus 1—Objectives

1. Findlimits 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 derivatives 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.