MATH
103H--CALCULUS I
M-F
T,R 8:15-9:16 SUPPLEMENTAL INSTRUCTION
Room: SG
376
SI ROOM : TBA
Spring
2003
TEXT:
SINGLE VARIABLE CALCULUS, 4TH Ed.
BY JAMES
STEWART
STUDENT'S SOLUTION MANUAL
*************
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
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.
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, OR APPROX.. 10% OF
YOUR FINAL GRADE.
3. EXAMS:
A.
THERE WILL BE APPROX.6 EXAMS. YOU
MUST USE BLUE
BOOKS TO TAKE THE
EXAMS.
B.
THE FINAL EXAM WILL BE COMPREHENSIVE (WEIGHT OF 3
EXAMS). IT IS
WORTH APPROX.30% OF YOUR GRADE!
YOUR FINAL EXAM IS FRIDAY, June 6 FROM
C.
EXAMS WILL USUALLY BE GIVEN AT THE END OF EACH
CHAPTER.
D.
THE AVERAGE OF YOUR HOMEWORK AND PROJECT GRADES
COUNTS AS 1 EXAM, OR
APPROX. 10% OF YOUR GRADE.
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.
G.
THERE ARE NO MAKE UP EXAMS IN THIS CLASS.
H. I
WILL DROP YOUR LOWEST EXAM SCORE WHEN COMPUTING
FINAL GRADES. HOWEVER, I WILL NOT DROP THE
HOMEWORK/PROJECT
GRADE, OR THE FINAL EXAM GRADE.
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, AND AREA UNDER A
CURVE!!!!!
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 WILL OCCASIONALLY DO COMPUTER LABS.
C.
THERE ARE VOLUNTARY SI SESSIONS ON TUESDAYS AND
THURSDAYS FROM
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.
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 CALCULUS I RESULTS
:
A.
STARTED:
B.
CLASS GRADES:
A....
B....
C....
D....
F....
W....
_ % PASSED THE CLASS
TYPICALLY, 49% 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: March 1 (NO RECORD). AFTER March 1
AND
UP TO April 26, 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 (_______ )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.
THIS
IS SUBJECT TO REVISION. SEE THE ATTACHED
APPENDIX
ASSIGNMENTS
1.1 1,3,5-8,9-53ODD,59-63ODD PLUS 36
& 44.
1.2 1-19ODD,17 AND 19 EXTRA CREDIT
USING EXCEL.
1.3 1-8ALL, 9-61ODD.
SKIP 25.
TEST 1
2.1 1,3,5,7.
2.2 1-31ODD,35,38.
2.3 1-27ODD,33-49ODD,57.
2.4 1-5ODD,13-19ODD,25,29-33ODD,39.
2.5 1-37ODD,41-45ODD,49,55,57.
2.6 1-19ODD,25. 20 EXTRA CREDIT.
TEST 2
3.1 1-9ODD,13-29ODD. 31,33 EXTRA CREDIT.
3.2 1-13ALL,17-25ODD,29,31,35,37,39. 41,43 EC.
3.3 1-41ODD,49-67ODD,83. 71 EC.
3.4 1-19ODD,27,29. 21 EC. 33 DOUBLE EC.
3.5 1-25ODD,29,31,35-47ODD.
TEST 3
3.6 1-47ODD,51-57ODD,63.
3.7 1-29ODD,35-41ODD,45,47,51.
3.8 1-37ODD,38-40,43-49ODD,51-59ODD.
3.9 1-9ODD,13-19ODD,27,29,33.
3.10 5,7,15-19ODD,21-25ODD,27-35ODD,39,41.
TEST 4
4.1 1-17ODD,19-35EOO,61,63,71,72.
4.2 1-7 ODD,11-19ODD,21A,25-29ODD,32.
4.3 1-23ODD (SKIP 15) INCLUDE 6 AND 16,27-35EOO
37,47,51,55. 49 EC.
4.4 1-27ODD,31-35ODD,39-51ODD.
4.5 1-21EOO,27-39
EOO. 43-47 ODD EC—SLANT ASYMPTOTES
4.7 3,5,9,11,17,19,21,23,27,31,37,42. 48 EC.
4.8 1-17ODD SKIP 11.
4.9 5-15ODD,33. 19 EC.
TEST 5
4.10 1-39EOO,45-49ODD,53-57ODD,63-67ODD.
5.1 1,3,5,11,13,15,17,19,20(IMPORTANT),
21
(IMPORTANT). 7 EC. 24 PROJECT???
5.2 1-11ODD,15-23ODD,27EC,29,31-37ODD,38,43-49ODD,51-55ODD.
5.3 5-33ODD,41-45ODD,49,51,52,57.
5.4 1-41ODD,43EC,45-57ODD,61.
5.5 1-53ODD,57,58,61,64.
TEST 6
6.1
1,3,5-25EOO. TRY 17 TWO DIFFERENT WAYS.
27,29. 31,33,35 EC.
44
6.2 1-29EOO,31-35ODD,39,41,45-57EOO.
63EC.
6.3 3-23
EOO,29,31,35-43ODD.
6.4 1-19ODD.
6.5 1-17ODD
SKIP 13.
TEST 7
COMPREHENSIVE REVIEW AS TIME PERMITS BEFORE YOUR FINAL,
WHICH IS WORTH 3 GRADES.