Calculus I Syllabus

 

Instructor: Marlow Anderson, TSC 206B, X6543

e-mail: Manderson@ColoradoCollege.edu

 

Paraprofessional: Lauren Bose, TSC 210, X6727

 

Course Coverage: We will be covering the first five chapters of Calculus: Early Transcendentals, by Jon Rogawski; the first chapter is primarily algebra review, and so we will not spend much time on it.

 

Class Time: 9:15 a.m. each morning

 

Problem Sessions: There are two problem sessions associated with this class per week, on Tuesday and Thursday afternoons, from 1:30-2:30 p.m.  The Math Department Paraprofessional Lauren Bose will conduct these sessions.  They are optional, but recommended.  Lauren is also available at other times; consult her for her office hours.

 

Peer Tutoring Sessions:  There are peer tutors available in the Math Lounge, Sunday through Thursday, from 7 to 9 p.m. each evening.

 

Homework:  The homework assignments for this class are intended to be a reasonable selection of problems, designed to enable you to master the material in a given section.  A modest number of them are designated as hand-in graded problems; they will be graded by a math major. They should be written up and handed in, in the homework box designated for our classroom, just off the math lounge.  By all means talk to your classmates, Lauren and me about these problems; feel free to consult your notes and your textbook too.  The write-up on hand-in homework should be your own.  Homework is due by 4 p.m. the day after it is assigned; there is no credit given for late homework.  Your two lowest homework grades will be dropped; your total homework grade counts for 15% of your grade. 

 

Quizzes:   Five times during the block we will have a brief quiz (20 minutes or less) near the beginning of class; I will grade these quizzes.    These quizzes are closed book, closed notes and closed colleagues.  They will give you the opportunity to gauge your independent comprehension of the material, and your readiness for the exams.  You should sign an Honor Code Pledge on each quiz.  The quizzes will altogether count for 30% of your grade.

 

Exams:  There are two exams scheduled for the course.  The first one is on the second Wednesday of the block; it will cover Chapters 1 through 3.  Note that this exam is scheduled for 1 – 3 p.m. that afternoon.  The second exam is on the last day of the block, and will cover Chapters 4 and 5.  These exams are closed book, notes and colleagues; you should sign an Honor Code Pledge on each exam.  Each exam will count for 25% of your grade.

 

Attendance:  I expect that you will attend class every day.  Of course, absences on account of illness, athletic trips, etc., are excused; but please let me know (by e-mail is best), if you are unable to attend class for some legitimate reason.  Everyone sleeps in now and then, and so I forgive one unexcused absence.  A second one results in a mandatory one letter-grade deduction in your final grade.  A third such absence results in a mandatory No Credit for the course. 

 

Technology:  I will regularly use a computer algebra system called DERIVE, for graphing, and also symbolic and numerical computations which I’d rather not do by hand.  This program is available on the network for your use, and it is quite easy to use.  Lauren or myself would be happy to answer questions if you have problems.  Many of you may have nice graphing calculators, which may do some numerics and symbolic calculus.  If you do, I encourage you to use it!  There will be some homework problems which will require the use of DERIVE or a sophisticated calculator. 

 

Grades:  Your grade will be determined as follows:

                          Quiz Grade                                30%

                          Homework grade                       15%

Midterm                                      25%

                          Exam II                                       25%

                          Subjective/Participation           5%

 

Course Schedule:

 

Date

Sections

Topic

Extra Events

Mon. March 24

1.1-1.4

Lines & Functions

 

Tues. March 25

2.2-2.5

Limits & Continuity

Problem Session 1:30-2:30

Wed. March 26

2.1, 3.1-3.2

The Derivative

Quiz #1

Thurs. March 27

3.3-3.5

Product & Quotient rule

Problem Session 1:30-2:30

Fri. March 28

3.6-3.8

Trig., Chain rule

Quiz #2

Mon. March 31

1.5, 3.9-3.10

Derivatives of Inverse fns.

 

Tues. April 1

3.11

Related Rates

Problem Session 1:30-2:30

Wed. April 2

 

Review for the Midterm

Midterm Exam 1-3

Thurs. April 3

4.1, 4.7

Linearization & L’Hopital

Problem Session 1:30-2:30

Fri. April 4

4.2-4.5

Curve Sketching

 

Mon. April 7

4.6

Max/Min Problems

Quiz #3

Tues. April 8

4.9

Antiderivatives; ODEs

Problem Session 1:30-2:30

Wed. April 9

5.1, 5.2

The Definite Integral

Quiz #4

Thurs. April 10

5.3 – 5.5

The Fundamental Theorem

Problem Session 1:30-2:30

Fri. April 11

5.6

Substitution

 

Mon. April 14

5.7, 5.8

Exponential Decay

Quiz #5

Tues. April 15

 

Review for Final Exam

 

Wed. April 16

 

 

Final Exam 9-12

 


Homework Problems:  Here are the homework problems assigned for the first several sections.  I will supplement this list later.  I recommend you have a look at the Suggested Problems; we’ll discuss many of these in class.  As a default assignment, you should always have a look at the Preliminary Questions for each section.  The Hand-in Problems should be written up neatly and carefully, and placed in the designated homework box.  In the list below these problems are organized by book section number.  You can tell when they are assigned, by consulting the course Schedule given above.

 

Section

Suggested Problems

Hand-in Problems

1.1

19  23 

 

1.2

1-4  10  11  17

16  26

1.3

1  6  8

32

1.4

1-4   7 16  21

6  20

2.2

1  4  22-24

26

2.3

5-10

18  24

2.4

1-4  17-22

 

2.5

1-3  5-7

8  18  20

2.1

1  5-7  23

12  18

3.1

2  7-10  23  29

24  32

3.2

1  2  4  5  9  14  23  25  47

28

3.3

1-3  5  7  8  49  50

18  22

3.4

1  2  5  10  13  20

6

3.5

1-5  16

20  26

3.6

1  4  5  6  10  13  21

24  36

3.7

1-3  7  19  21-23  41  53

36  44

3.8

1  2  11  14  25  35

10  30 

1.5

1  3  4  11 15 16 23 24 29 30  39

12 

3.9

1  3  7  19  22 26  27

12  18

3.10

1-4  13  17  23 

28  36

3.11

1  2  5-8  9  19-22  28

10  12  14 

4.1

1  3  7  10  16  27  29  32

8  18  24

4.7

1-4 7  10  11-13  49

24  28  32

4.2

1  2  3-4  15

16  22

4.3

15  19  25-28

16  34

4.4

1  2  7-9  15  21

10

4.5

1-5  10  15  18  22 32

24

4.6

1  2  3  9  41  52

8  36  46

4.9

1-6 9-12 16 19 20 33 35 40 43 47  51

26  28  34  54  64

5.1

1        3  6  9  15  22  28

26 (then find bounds using n=50)

18  56

5.2

1  3  7  11  13  33  50-54 59  60  75

2  14 

5.3

5 – 10  17  23  26  44

22  32

5.4

2  4  7-9  24 

6  16 

5.5

1  8  14  23

4 

5.6

1-4 7-14  33  47  53

16  18  20  24  25  40

5.7

1-4  13  15  27  59  69

20  34  50

5.8

1  2  5  8  9

10  12