"PREPARING
FOR THE
POSSIBILITIES"                                                                                   

Fall Semester, 2007

Calculus I                                                                     Office Hours:  MW  9:30 a.m.-10:15 a.m.

Mathematics 161-1                                                                              T       8:30 a.m. - 11:30 a.m.

4 Credit Hours                                                                                     W     11:45 a.m. – 12:45 p.m.

MWF 1:00-1:50 p.m., R 1:15-2:05 p.m.                                               R      12:30 p.m.-1:00 p.m.

                                                                                                            “Heyugotaminute”

 

Instructor:         Al Niemier                                            Phone:  219-239-8381                        

Office:              179 Vincent                                          e-mail:  aniemier@hcc-nd.edu                          

PERQUISITES: Successful completion of MATH 125

 

TEXTBOOKS AND/OR EQUIPMENT/SUPPLIES: Purchased by student

 

REQUIRED TEXTBOOK:  CALCULUS with Analytic Geometry 8th Edition (Package) by Roland E. Larson, Robert P. Hostetler, and Bruce Edwards, published by Houghton Mifflin Company, Copyright: 2006, ISBN# 0-618-64074-6

 

REQUIRED GRAPHING CALCULATOR:  Each student is required to have a graphing calculator.  In class, the instructor will be using the TEXAS INSTRUMENT TI-83 or TI-89 graphing calculator.  This calculator can be purchased at several local discount stores in the South Bend area and is also available in the college bookstore.  Applications of the TI-83 and/or TI-89 to calculus concepts will be explained.  If a student already has a different graphing calculator, or intends to purchase a different brand, it will be that student’s responsibility to learn how to use that calculator.

 

COURSE DESCRIPTION:  COURSE DESCRIPTION: A calculus course intended for science and engineering majors, this course covers the usual topics found in differentiation and integration, but with more mathematical rigor than MATH 141 and 142.  The course ends with the presentation of definite integrals and its properties.  The sequence, MATH 161-162, is designed to fulfill the calculus requirement for science-intended students whose programs require a one-year terminal course in calculus or to prepare students to take Calculus III at their transfer institution.  It is also appropriate for students intending a major in liberal arts or business administration and desiring a thorough exposure to calculus. The Calculus I course will concentrate on the study of limits and continuity, differentiation, applications of the derivative, and integrals.  Topics include (but not limited to) selected sections from the following chapters: Chapter 1 - Limits and Their Properties, Chapter 2 – Differentiation, Chapter 3 - Applications of Differentiation, Chapter 4 - Integration

                       


GOALS AND OBJECTIVES:

 

CONTENT GOAL: The student will understand and know how and when to use the above-listed calculus topics.  The computer algebra system Derive will aid in-depth explorations and understanding.


OBJECTIVE GOALS: Holy Cross College graduates should possess certain skills necessary

for transfer to a senior institution.  This class requires students to practice the following transferable skills:

 

1.                  Technology:  Students will use technology to manipulate, operated, and utilize a graphing calculator, and the computer algebra system Derive to analyze and describe function behavior.

 

2.                  Oral Communication:  Students will listen effectively in class and learn to speak on mathematical topics and ideas using proper terminology.

 

3.                  Writing:  Students will write all homework assignments.  Written work for each problem will include as a minimum the set-up and key steps in the problem leading to the final result.  Students will not plagiarize, but will develop their own written assignments.

 

4.                  Quantitative Reasoning:  Students will develop a quantitative reasoning process for the topics listed in the course description.

 

5.                  Critical Thinking:  Students will be able to ask relevant questions related to course topics, recognize the connections between the mathematical information presented and real life situations, and apply mathematical concepts to real life situations.

 

6.                  Creative Thinking:  Students should be able to develop and ask alternative questions to some or similar mathematical concepts.

 

7.                  Reading:  Students will learn how to read a mathematics textbook, and how to understand/analyze mathematical concepts and problems while reading mathematical topics.

 

COURSE PHILOSOPHY: Learning mathematics depends more on hard work than on any other

factor.  Your success is dependent upon your willingness to exert sufficient effort.  To succeed in this course your must:

 

1.                  Devote minimum of two hours of outside of class study for every one-hour of actual class.

 

2.                  Attend every class.

 

3.                  Come to class prepared and willing to help your classmates.

 

4.                  Seek help from me or another person as soon as the need arises.

 

5.                  Be an enthusiastic group participant.

 

GRADING CRITERIA AND REQUIREMENTS:

 

EXAMS: There will be four scheduled full period exams during the semester.  The dates of

these exams are indicated on the ASSIGNMENT SCHEDULE.  Since these dates of the scheduled exams are stipulated at the start of the semester, it is expected that each student will make every effort to be present for each exam.  MAKE-UP EXAMS WILL NOT BE GIVEN!!  The Registrar’s Office schedules the final exam.


ASSIGNMENTS: There is a large body of educational research, which supports that active involvement with the material is the only way to gain a true understanding of mathematical concepts.  Hence, you are encouraged and expected to “dig in” and learn through active involvement with the subject matter and your classmates.  You are expected to read the textbook, and it will be necessary for you to read the text in order to complete assignments.  Sometimes it will be necessary to look back or forward in the text to find information and definitions that you need.  You are responsible for your own learning.  I am eager to assist you in every way that I can.  It is important for you to realize that it is not possible to receive answers to all questions during class time.  You are responsible for finding answers to your questions, from me during office hours, from the Learning Resource Center, or from your classmates.

 

HOMEWORK: Homework will be assigned as per the attached ASSIGNMENT SCHEDULE.

Homework is a key to success in this course.  Perform each assignment and conscientiously attempt each and every problem in every assignment.  Do not allow yourself to fall behind.  Leaving a section without mastering it undermines your chances for success with subsequent sections.  Mathematics cannot be “put off and crammed” in a couple of days before an exam.  Problems on the exams will be similar to the homework problems.

 

Use a three-ring binder for your class notes and homework papers rather than a spiral notebook.  If you use a binder, you can remove and add pages as needed and keep your homework well organized.  Your notebook will be a valuable reference and study resource.

 

READING ASSIGNMENTS that are listed on the ASSIGNMENT SCHEDULE refer to those sections of your text that you should read PRIOR to coming to class.   They contain the bulk of the material that will be presented in class that day.  References will be made to the material in the assigned sections during class presentation.

 

WRITTEN ASSIGNMENTS are problems that should be done before coming to class.  They are based on material that already has been presented and explained.  These problems are also listed on the ASSIGNMENT SCHEDULE.  Most of these problems have the answers in the back of the book, which will allow you to check your answer.  You should do enough of these problems to be completely familiar with the material covered.  Hopefully, you would do some of the problems, which do not have answers, and also some of the problems that are not assigned.  I may also assign additional problems not listed on the ASSIGNMENT SCHEDULE.  These problems will also be expected to be completed for the next class.  It is suggested that you keep your problems neatly together in a three ring binder.

 

Homework will be assigned each class period as per the ASSIGNMENT SCHEDULE and the following assumptions are made.

 

1.                  You are completing your homework assignments between class meetings.

 

2.                  You are studying and practicing calculus mathematics a minimum of two hours of outside of class study for every one-hour of actual class.  Also, understand that more time should be allotted when preparing for exams.

 

3.                  You are studying individually and working regularly with classmates.


 

4.                  You are responsible for your own learning, and so you will ask questions in class discussion, in my office, at the Learning Resource Center, of your classmates--about problems that have are troublesome for you.

 

5.                  You cannot truly be “stumped” until you have given the problem serious consideration and ample time.

 

6.                  You cannot completely understand nor remember a new concept until you have applied it repeatedly to solve problems.

 

HOMEWORK FORMAT: TO BE OBSERVED ON ALL ASSIGNMENTS:

 

1.                  Each day’s homework/written assignment must be on my desk BEFORE the start of class.  Homework/assignments will only be accepted if the student is present in class the day the homework/assignment is due.   Any homework not turned in by the time the graded homework papers are returned will be considered late and thus will count at 50%.  Any homework that is two or more class periods late will not be accepted and will be given a score of zero.

 

2.                  Homework must be written in pencil and should NOT be written on spiral paper.

 

3.                  Papers should not be folded and, if more than one page, must be stapled in the upper left-hand corner.

 

4.                  In the upper right-hand corner write the student’s name, course number, assignment section number, assignment page number, and assignment due date.

 

5.                  If you decide to change a problem, erase neatly and thoroughly.  “Scratch outs” will not be accepted.  In general, any paper bearing the appearance of “scratch work”, or any paper that appears to be list of answers with NO supporting work will NOT be accepted and will be given a grade of zero.

 

6.                  I will choose a problem(s) at random to grade.  It is essential that you complete each day’s assignment.  You cannot be sure you have worked the problem(s) that will be graded unless you have worked all assigned problems.

 

TUTORING:  You are encouraged to make use of the Learning Resource Center (LCR).  Hours are posted. Peer tutors, adult tutors, and teachers are available to help you FREE OF CHARGE.  Videotapes may be checked out of the library and may be viewed at the LRC or taken back to dorm rooms.  Math tutorials corresponding to all sections in the book are accessible in the computer lab and the LRC for extra practice.  A CD is included with your text that has a video lesson for each section from the text, along with guided practice problems.

 

ACADEMIC HONESTY POLICY:  Holy Cross College expects honesty from all students in their academic work.  Please refer to the student handbook (page 153) for information on the college’s academic honesty policy.  Violations of the academic honesty policy include plagiarism or cheating on any examination or assignment.  Any student found in violation of the academic honesty policy may be subject to sanctions that could include failure on the assignment or failure in the course, and any finding of violation may be referred to the Vice President for Academic Affairs.  Procedures for appealing any sanction can be found in the student handbook (page 153).
GRADING SCALE:  Your final grade will be determined from the following:

 

1.   60%-from the four scheduled period exams. Each scheduled period exam will count 15%.

 

2.   20%-from homework and class participation.  Each graded homework assignment will be worth 10 points. The total graded homework/written assignment score will be proportioned to a score based on 100 points.

 

3.   20%-from the final exam.  The final exam will not be returned.  If the student has submitted 80% of his/her assignments, AND has at least a 80% average on the total of all assignments, AND has no more than three (3) absences (regardless of the reason), then the student will have the option of having the final exam score replace their lowest regular period exam score.  For this purpose two (2) tardies will be the equivalent to one absence.

 

4.   If a student has a grade of “B” or better, AND has never been late to class AND has never been absent from class, AND the student has submitted 80% of his/her assignments, AND has at least a 80% average on the total of all assignments, then the student will be allowed to exercise the option of NOT taking the final exam.  If the student meets these qualifications, then the student’s final semester grade will be the grade earned as of the last day of class for the semester.

 

The semester letter grade will be given based on scheduled period exams, homework and class participation, and your final exam.  Grading will be done on a point system.  The points will be converted to a percentage, and the following scale will determine the letter grade:

 95-100     = A     87--89.99 = B+    80-82.99 = B-    70-76.99 = C      60-65.99 = D 

 90-94.99  = A-    83--86.99 = B      77-79.99 = C+   66-69.99 = C-       0-59.99 = F 

 

WITHDRAWAL:  Holy Cross College policy and regulations on withdrawal are given in the Student Handbook on page 161.    All students are expected to know these policies/regulations and to abide by them. 

 

AUDIT:  The following are strongly suggested for a student to successfully audit the class:

1.      Audit Policy as stated on page 154 of the Student Handbook.

 

2.      Student may take the regularly scheduled period exams (optional).

 

3.      Student may take the final exam (optional).

 

ATTENDANCE: There is a direct correlation between regular class attendance and student’s success in class.  A student will find it very difficult to successfully pass the class if he/she does not attend class regularly.  Hence, regular class attendance is highly encouraged.  Regular class attendance will affect your final grade in the course in each of the following ways.

 

1.         Each student will begin with 24 extra credit test points.  Regardless of the reason, each day a student is absent six points will be deducted.  Regardless of the reason, each day the student is less than fifteen minutes late to class (tardy) three points will be deducted.  If the student is fifteen or more minutes late to class, the student will be considered absent and six points will be deducted.

 

2.         If a student has no more than three (3) absences (regardless of the reason), then the student will have the option of having the final exam score replace their lowest regular period exam score, PROVIDED the student has submitted 80% of his/her assignments, AND has at least a 80% average on the total of all assignments.  For this purpose two (2) tardies will be equivalent of one absence. A student who leaves class is also considered absent.

 

3.         If a student has a grade of “B” or better, AND has never late or absent from class, AND the student has submitted 80% of his/her assignments, AND has at least a 80% average on the total of all assignments, then the student will be allowed to exercise the option of NOT taking the final exam.  If the student meets these qualifications, then the student’s final semester grade will be the grade earned as of the last day of class for the semester.

                        

This policy on attendance will be effective starting with the first day of class.


REQUESTING ACCOMMODATIONS FOR A DISABILITY:  Students requesting accommodations for specific requirements for class and/or testing must have on file, through the office of Brother Christopher J. Dreyer, C.S.C., L.C.S.W., a Request for Accommodations form.  Such students are highly encouraged to discuss with me their specific class and/or testing requirements at their earliest convenience.  In general, for testing purposes, twice the amount of the regular testing time will be allowed. In this regard, it is the responsibility of the student to request specific testing accommodations 48 hours prior to a scheduled test/exam.


ASSIGNMENT SCHEDULE MATH 161 CALCULUS I

FALL SEMESTER 2007

 

 

Class

Number

Day

Date

Reading Assignment

Written Assignment

1

M

8-27

Section 1.2 Finding Limits Graphically and Numerically, pages 48 to 54

Please Come

2

W

8-29

Section 1.3 Evaluating Limits Analytically, pages 59 to 66

Section 1.2, pages 54 to 58: Odd 3 to 25, 29, 31, 33, 39, 42, 45, 48

3

R

8-30

Section 1.3 Evaluating Limits Analytically, pages 59 to 66

Section 1.3, pages 67 to 69: Every 3rd: 3, 6, 9,…,78, 83, 85, 87, All 101 to 104

4

F

8-31

Section 1.4 Continuity and One-Sided Limits, pages 70 to 78

Section 1.3, pages 67 to 69: Every 3rd: 3, 6, 9,…,78, 83, 85, 87, All 101 to 104

5

M

9-3

Section 1.4 Continuity and One-Sided Limits, pages 70 to 78

Section 1.4, pages 78 to 82: All 1 to 6, 11, 14, 17, 19, All 25 to 28, Every 3rd: 33, 36, 39,…,57, 59, 61, All 69 to 72, 75, 76, 79, 81, 83, 85

6

W

9-5

Section 1.5 Infinite Limits, pages 83 to 87

Section 1.4, pages 78 to 82: All 1 to 6, 11, 14, 17, 19, All 25 to 28, Every 3rd: 33, 36, 39,…,57, 59, 61, All 69 to 72, 75, 76, 79, 81, 83, 85

7

R

9-6

Section 2.1 The Derivative and the Tangent Line Problem, pages 96 to 103

Section 1.5, pages 88 to 90: Every 3rd: 3, 6, 9,…,51, 31, 59, 62

8

F

9-7

Section 2.1 The Derivative and the Tangent Line Problem, pages 96 to 103

Section 2.1, pages 103 to 106:  All 1 to 4, Every 3rd: 3, 6, 9,…,96

9

M

9-10

Section 2.2 Basic Differentiation Rules and Rates of Change, pages 107 to 114

Section 2.1, pages 103 to 106:  All 1 to 4, Every 3rd: 3, 6, 9,…,96

10

W

9-12

CATCH UP AND REVIEW

 

Section 2.2, pages 115 to 118: Every 3rd: 3, 6, 9,…,66, All 83 to 89, 91, All 93 to 96

11

R

9-13

TEST ON CHAPTER 1

STUDY FOR CHAPTER 1 TEST

12

F

9-14

Section 2.3 The Product and Quotient Rules and Higher-Order Derivatives, pages 119 to 125

Please Come Back J

 

13

M

  9-17

Section 2.4 The Chain Rule, pages 130 to 136

Section 2.3, pages 126 to 129: Every 3rd:: 3, 6, 9,…,87, Odd 93 to 101

14

W

  9-19

Section 2.5 Implicit Differentiation, pages 141 to 145

Section 2.4, pages 137 to 140: Every 3rd: 3, 6, 9,…,90

15

R

9-20

TBA

Section 2.5, pages 146 to 148: Every 3rd: 3, 6, 9,…,5

16

F

9-21

Section 2.5 Implicit Differentiation, pages 141 to 145

TBA

 


 

Class

Number

Day

Date

Reading Assignment

Written Assignment

17

M

9-24

Section 2.6 Related Rates, pages 149 to 153

Section 2.5, pages 146 to 148: Every 3rd: 3, 6, 9,…,51

18

W

9-26

Section 2.6 Related Rates, pages 149 to 153

Section 2.6, pages 154 to 157: 1, 3, 5, 7, 13, 15, 19, 21, 23, 26, 30, 32, 33, 34, 35, 44, 46

19

R

9-27

TBA

Section 2.6, pages 154 to 157: 1, 3, 5, 7, 13, 15, 19, 21, 23, 26, 30, 32, 33, 34, 35, 44, 46

20

F

9-28

Section 3.1 Extrema on an Interval, pages 164 to 168

TBA

21

M

10-1

Section 3.2 Rolle’s Theorem and the Mean Value Theorem, pages 172 to 175

Section 3.1, pages 169 to 171: 1, 2, Every 3rd: 3, 6, 9,…, 48, 49, All 53 to 57, 61

22

W

10-3

CATCH UP AND REVIEW

Section 3.2, pages 176 to 178: 1, 2, Every 3r: 3, 6, 9,…,51, 37

23

R

10-4

TEST ON CHAPTER 2

STUDY FOR CHAPTER 2 TEST

24

F

10-5

Section 3.3 Increasing and Decreasing Function and the First Derivative Test, pages 179 to 185

Near The Halfway Point JJ

25

M

10-8

Section 3.3 Increasing and Decreasing Function and the First Derivative Test, pages 179 to 185

Section 3.3, pages 186 to 189: Every 3rd: 3, 6, 9,…,69

26

W

10-10

Section 3.4 Concavity and the Second Derivative Test, pages 190 to 194

Section 3.3, pages 186 to 189: Every 3rd: 3, 6, 9,…,69

27

R

10-11

TBA

Section 3.4, pages 195 to 197: Every 3rd: 3, 6, 9,…,39, 41, 53, 55, 62

28

F

 10-12

Section 3.4 Concavity and the Second Derivative Test, pages 190 to 194

TBA

29

M

10-15

Section 3.5 Limits at Infinity, pages 198 to 204

Section 3.4, pages 195 to 197: Every 3rd: 3, 6, 9,…,39, 41, 53, 55, 62

30

W

10-17

Section 3.6 A Summary of Curve sketching, pages 209 to 214

Section 3.5, pages 205 to 208: Every 3rd: 3, 6, 9,…,45, 55, 57, 61, 73, 77, 81, 83