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%
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 |