MATH 103H-- MATH 103 --CALCULUS I
GLENDALE COMMUNITY COLLEGE
M-F 7:00-8:01 REGULAR INSTRUCTION
Lecture Room: AS 118
Supplemental Instruction: TBA
SI ROOM: TBA
Fall 2009
TEXT: SINGLE VARIABLE CALCULUS, Edition 6E
BY JAMES STEWART
Purchase the STUDENT'S SOLUTION MANUAL
INSTRUCTOR: DR.
SID KOLPAS
Description and Prerequisites: I WILL CHECK TO SEE THAT YOU'VE MET THE
PREREQUISITES!
1. PATH TO
SUCCESS:
A. ATTEND ALL LECTURES AND TAKE GOOD NOTES.
1. YOU MUST PURCHASE MY LECTURE NOTES IN THE
STUDENT
STORE; THEY SHOULD COST APPROX.________.
THEY'LL
MAKE THE LECTURES GO MORE SMOOTHLY.
B. READ THE CORRESPONDING MATERIAL IN THE BOOK.
C. DO ALL ASSIGNED HOMEWORK.
*IF YOU
HAVE DIFFICULTY, HIRE A QUALIFIED TUTOR,
CALL A
FRIEND IN CLASS, OR GO TO THE TUTOR CENTER
ON
CAMPUS. "ASK 3 BEFORE YOU ASK
ME."
*HOMEWORK
IS DUE THE NEXT SESSION AFTER IT IS
ASSIGNED
UNLESS YOU ARE ILL.
D. ASK QUESTIONS ABOUT THE HOMEWORK AT THE
BEGINNING OF
THE NEXT
SESSION; HOWEVER, THERE WILL NOT BE ENOUGH
TIME TO
ANSWER EVERY QUESTION.
*PLEASE
DON'T BE SHY. THE LIFE YOU SAVE MAY BE
YOUR
OWN!
E. STUDY THE NIGHT BEFORE THE EXAM.
2. HOMEWORK:
A. A MINIMUM OF 2 TO 3 HOURS PER CLASS. I’m not
kidding.
B. FOR THE MOST PART, ODD NUMBERED EXERCISES
WILL BE
ASSIGNED SO
YOU CAN CHECK YOUR ANSWERS BEFORE
COMING INTO
CLASS(SEE ATTACHED ASSIGNMENT SHEET).
*IF YOU
MISS A PROBLEM, GIVE IT A 2nd OR 3rd TRY
BEFORE
GIVING UP AND ASKING ME THE NEXT SESSION.
I DON'T
HAVE MUCH TIME TO GO OVER HOMEWORK.
USE THE
STUDENT SOLUTION MANUAL TO HELP YOU.
C. NO LATE ASSIGNMENTS WITHOUT A LEGITIMATE
EXCUSE.
*I'LL
RETURN THE HOMEWORK THE NEXT DAY.
*MAKE UP
WORK IS DUE BY THE DAY OF THE EXAM.
D. IF YOU MADE AN HONEST ATTEMPT ON EACH PROBLEM
YOU WILL
GET CREDIT FOR THE ASSIGNMENT; OTHERWISE
YOU WILL
RECEIVE NO CREDIT.
E. THE PERCENT OF ASSIGNMENTS YOU RECEIVED
CREDIT
FOR WILL
COUNT AS ONE EXAM GRADE, AVERAGED WITH YOUR LOWEST TEST.
(HOMEWORK PROTECTION)
3. EXAMS:
A. THERE WILL BE 7 EXAMS (SEE BELOW. YOU MUST USE BLUE
BOOKS TO TAKE THE EXAM.
B. THE FINAL EXAM WILL BE COMPREHENSIVE (WEIGHT
OF 3
EXAMS). IT
IS WORTH APPROXIMATELY 35% OF YOUR GRADE!
YOUR FINAL
EXAM IS ON__________________________
.
C. EXAMS WILL USUALLY BE GIVEN AT THE END OF
EACH
CHAPTER.
D. YOUR HOMEWORK COUNTS AS 1 EXAM, AVERAGED
WITH YOUR LOWEST TEST.
E. THE GRADING SCALE FOR FINAL GRADES WILL BE
90-80-67-56
AS THE ABSOLUTE MINIMUM
REQUIREMENTS FOR A-B-C-D. HOWEVER,
I RESERVE
THE RIGHT
TO CURVE GRADES OR ADJUST THE GRADING
STANDARDS
ON INDIVIDUAL EXAMS IN THE STUDENT'S
FAVOR.
F. THE EXAMS WILL BE SIMILAR TO THE ASSIGNED
HOMEWORK
PROBLEMS. THERE ARE NO CHAPTER
TESTS IN THE BOOK.
THE REVIEW
EXERCISES AT THE END OF EACH
CHAPTER CAN
BE USED AS ADDITIONAL PREPARATION FOR
EXAMS. I
WILL PROVIDE PRACTICE EXAMS FROM PREVIOUS SEMESTERS.
G. THERE ARE NO MAKE UP EXAMS IN THIS CLASS.
H. HOMEWORK IS AVERAGED WITH YOUR LOWEST
TEST. (HOMEWORK PROTECTION)
I. IF YOU ARE CAUGHT CHEATING ON AN EXAM, YOU'LL
RECEIVE A
0. I'LL REFER A SECOND INSTANCE OF
CHEATING TO
THE COLLEGE ADMINISTRATION.
J. I GRADE EACH PROBLEM ON LIKE AN ESSAY, AND I
DO
GIVE
PARTIAL CREDIT. GENERALLY, ON A 10 POINT
QUESTION,
THE ANSWER IS WORTH 1 POINT AND THE WORK
LEADING TO
THE ANSWER IS WORTH 9 POINTS.
K. I WILL TRY VERY HARD TO RETURN EXAMS THE NEXT
DAY,
WITH A
MODEL SOLUTION KEY AND GRADING STANDARDS.
4. THE COURSE:
MATH 103 IS THE
PERFECT SYNTHESIS OF 2 YEARS OF ALGEBRA,
GEOMETRY,
PRECALCULUS, AND TRIGONOMETRY. MY
PERSONAL
OPINION IS THAT
IS BASICALLY AN EASY CLASS COMPARED TO
ITS PREREQUISITES. WHAT MAKES IT A DIFFICULT CLASS
IS THE FACT
THAT IF YOU HAVE ANY WEAKNESSES IN
ALGEBRA,
GEOMETRY, OR TRIGONOMETRY, THEY CONTINUALLY
COME BACK TO
HAUNT YOU. ALSO, ANYONE WHO HAS TAUGHT
OR
TAKEN CALCULUS
KNOWS THAT THE COURSE CONTAINS SO MUCH
MATERIAL THAT
IT IS IMPOSSIBLE FOR AN INSTRUCTOR TO
SPEND AN
ADEQUATE AMOUNT OF CLASSROOM TIME ON EVERY
TOPIC. FOR THIS
REASON, A CALCULUS TEXTBOOK BEARS A
MAJOR PORTION
OF THE BURDEN IN THE TEACHING PROCESS; IN
OTHER WORDS,
READ THE BOOK VERY CAREFULLY, FORM STUDY
GROUPS, AND
ATTEND SI SESSIONS. THE MAJOR TOPICS OF
THE
COURSE INCLUDE
FUNCTIONS AND LIMITS, DIFFERENTIATION AND
ITS
APPLICATIONS, INTEGRATION AND ITS APPLICATIONS, AND
A COMPREHENSIVE
REVIEW OF PRE-REQUISITES. WHILE IT MAY
SEEM LIKE AN
OVERSIMPLIFICATION, CALCULUS DEALS
PRIMARILY
WITH ONLY 2 TOPICS:SLOPE,& AREA.
A. A SPECIAL FEATURE OF THIS COURSE WILL BE THE
USE
COMPUTER
SOFTWARE,GRAPHING CALCULATORS, AND
MANIPULATIVES TO HELP VISUALIZE CONCEPTS. IN
FACT, YOU
MIGHT WANT TO PURCHASE A GRAPHING
CALCULATOR
(TI,CASIO, OR HP).
B. WE MAY OCCASIONALLY DO COMPUTER LABS.
C. THERE ARE VOLUNTARY SI SESSIONS ON ________________
D. COMMENTS ON CHAPTERS:
CHAPTER
1: A REVIEW OF FUNCTIONS, MODELS, AND
GRAPHING
FUNCTIONS. YOU REVIEW TRIGONOMETRY
ON YOUR OWN
(A REVIEW IS IN THE BACK OF THE BOOK).
THIS IS
PRECALCULUS CRAMMED INTO 1 CHAPTER.
CHAPTER 2:
LIMITS AND RATES OF CHANGE--PREPARATION
FOR
DIFFERENTIAL AND INTEGRAL CALCULUS.THIS INCLUDES
THE TANGENT
AND VELOCITY PROBLEMS, CONTINUITY, AND
OTHER RATES
OF CHANGE.
CHAPTER
3: DIFFERENTIAL CALCULUS (2 TESTS???).
CHAPTER
4: APPLICATIONS OF DIFFERENTIAL
CALCULUS.
CHAPTER
5: INTEGRAL CALCULUS.
CHAPTER
6: SOME APPLICATIONS OF INTEGRAL
CALCULUS.
THIS IS A VERY CHALLENGING CHAPTER.
5. WHY TAKE THE COURSE?:
A. IT IS NEEDED TO GRADUATE.
B. IT IS NEEDED FOR ANOTHER SKILL SUCH AS
MEDICINE,
ENGINEERING, COMPUTER SCIENCE, AUTO MECHANICS, ETC.
C. IT IS A PREREQUISITE FOR STILL A HIGHER MATH
CLASS.
D. IT IS SOMETHING YOU "ALWAYS WANTED TO
LEARN".
6. MY LAST MATH
103 RESULTS:
A. STARTED:
B. CLASS GRADES:
A....
B....
C....
D....
F....
W....
_ % PASSED THE CLASS
TYPICALLY, 50%
PASS MATH 103 AT GCC.
7. ATTENDANCE:
A. I TAKE ROLL EACH SESSION.
B. ON AND AFTER THE 10TH LECTURE ABSENCE, YOU
ARE IN
JEOPARDY OF
BEING DROPPED FROM THE CLASS. PEOPLE
WHO WERE
HABITUALLY ABSENT WERE THE ONES WHO DROPPED
OR WHO
EVENTUALLY FAILED.
C. IF YOU DECIDE TO DROP THE CLASS, IT IS YOUR
RESPONSIBILITY TO DO SO, ESPECIALLY BEFORE THE FINAL
DROP DATE.***********************(GET THE MESSAGE?)
DROP DEADLINE:_____________(NO RECORD). AFTER
AND UP TO_____________
, YOU RECEIVE A "W" IF YOU DROP.
8. BEHAVIOR:
A. YOU'RE IN COLLEGE, AND IT WAS YOUR CHOICE TO
BE
HERE.
B. YOU ARE EXPECTED TO BEHAVE LIKE AN ADULT, AND
TO
TREAT
OTHERS WITH RESPECT.
C. CLASS STARTS PROMPTLY ON THE HOUR. IF YOU ARRIVE
LATE, WALK
IN UNOBTRUSIVELY. SINCE I TAKE ROLL
AT THE
BEGINNING OF CLASS, LET ME KNOW YOU'VE
ARRIVED
LATE AT THE END OF CLASS.
D. THE COLLEGE REQUESTS THAT THERE BE NO FOOD IN
CLASS. ALL I ASK IS THAT YOU CLEAN UP AFTER
YOURSELF,
AND THAT YOU MAKE NO NOISE.
9. INSTRUCTOR
AVAILABILITY:
A. MY OFFICE HOURS ARE:____________________________
B. I AM IN THE MATH LAB ( AS 101) ON _________________
C. MY OFFICE IS SG 321.
D. MY EXTENSION ON CAMPUS IS 5378
9. SEMESTER
ASSIGNMENTS: EOO MEANS EVERY OTHER ODD.
WE HAVE THE
LUXURY OF SPENDING AN AVERAGE OF APPROX.
1 1/2 DAYS PER
SECTION. THUS, IF SOME OF THE FOLLOWING
ASSIGNMENTS
PROVE TO BE TOO LENGTHY, WE CAN SPEND SOME
EXTRA TIME ON
THEM. EACH EXTRA CREDIT IS ¼ POINT.
EVERY
4 EXTRA CREDITS
= 1% BONUS ON AN EXAM.
THIS IS SUBJECT
TO REVISION.
Read “A Preview of Calculus” on pages 3-9
Appendix A: 1-35 odd; 43-53 odd
Appendix B: 1-9 odd; 21-41 odd
Appendix C: 1-9 odd; 11-31 odd
Appendix D: 1-77 odd
1.1 1-69
ODD
1.2 1-19 ODD.
1.3 1-63 ODD
1.4 SKIP
50 Point Take-Home Quiz on A-D & C1
2.1
1,3,5,7
2.2 1-31ODD
2.3
1-49ODD AND 61.
2.4 1-7ODD,15-29
odd, 41
2.5 1-49ODD
TEST 1 You may
have a cheat sheet on A-D & C1 and C2.
Each 1 page both sides
3.1 1-41ODD
3.2 1-35ODD
3.3 1-43ODD,49,
51,53,55, 57-65ODD,69-77ODD,83, 85. 95
EC 1%
3.4 1-23ODD,
31, 33,37,39-49ODD
3.5 1-57ODD,
61, 69, 71, 75.
TEST 2
You may have a cheat sheet on A-D & C1 and C2 and 3.1-3.5. Each 1
page both sides
3.6 1-29ODD,33, 35,39, 41, 45, 47, 51
3.7 1-19ODD
3.8 1-29ODD,
33, 35, 39, 41
3.9 1-27ODD,
31, 33,37
TEST 3 You may have a cheat sheet on A-D &
C1 and C2 and 3.1-3.5 and
3.6-3.9. Each 1 page both sides
4.1 3,7,9,13,15-41ODD,
45-55ODD,69.
4.2 1-5
ODD,11-29ODD, 32
4.3 1-41ODD
4.4 1-5
ODD,9-29ODD,33-37ODD, 43-49ODD
4.5 1-37EOO,43-51ODD
4.6 SKIP
4.7
3,5,9,11,13, 17,19,21,23,25,27,31,33,39,44,
47. 52, 64 EC
4.8 5, 7,
11, 13, 15, 17, 19, 21,23
4.9 1-17ODD,
21-41ODD, 51-55ODD,61
TEST 4
Cheat sheet: Appendices; C1, C2,
C3, C4 each 1 page both sides
5.1
1,3,5,11,13,15,17,19,20(IMPORTANT),21.
5.2
1-11ODD,17-27ODD,29,33-43ODD,53-61ODD.
5.3 1-43ODD,
47-51ODD, 57
5.4 1-15ODD,
19-39ODD,47,49,55,57,59.
5.5 1-29ODD,35-49ODD,53,57
TEST 5
Cheat sheet
6.1 1,3,5-27 odd, 29, 31, 33, 42
6.2
1-29EOO,31-35ODD,41,43,44,47,51,55,57,59.
65EC Takes a long time
6.3 3-23
EOO,29,31,37-45ODD. 35EC ON COMPUTER Takes
a long time
6.4
1-23ODD.
6.5
1-19ODD SKIP 13 AND 15.
TEST 6
Cheat Sheet
COMPREHENSIVE REVIEW AS TIME PERMITS BEFORE YOUR
FINAL, WHICH IS WORTH 3 GRADES.
7 cheat sheets:
Appendix/C1; C2; C3; C4; C5; C6 each 1 page, both sides.