Our text is exceptional and may differ significantly from mathematics texts which you have used previously. Unlike many mathematics texts, you should find our text to be a wonderful learning resource, specially designed to be read (as opposed to just a source of questions with similar examples). You should strive to read the text, it is written with you in mind. Reading mathematics is an active process, unlike reading most novels or poems. Your homework assignments will likely contain fewer problems than past assignments, and it is expected that you will struggle with most of these problems. Deciding what to do in order to solve a problem will play a major role in this course, and "doing it" correctly is important, but by no means the only requirement for success. In short, we will emphasize the why much more than the how in this course. Most students that struggle with calculus fall behind at some point, avoid this like the plague. One day at a time, calculus is quite manageable! If you blow off a few days, it can become much more challenging.
Exams: There will be three midterm exams worth 100 points each and a 100 point skills exam (this will be explained by your professor) over the rules of antidifferentiation. The three midterm exams will occur in the evening (a section of regular classtime will be canceled for each exam) approximately on the dates February 5 (exam 1), March 5 (exam 2) and April 15 (exam 3). The skills exam will be given after we complete chapter 7. We will also have a cumulative final exam worth 150 points on Thursday May 8 at 8 AM..
Quizzes: There will be regular (about every two weeks) quizzes. Normally, quizzes will be announced. There will be approximately 100 points total based on your quiz grades. I do not drop your lowest quiz score.
Homework, Activities and Projects: I will collect homework
assignments
regularly
(after each section of the text is covered). Recording "just the
answer"
will receive little or no credit. You should show and/or explain your
work
on all assignments for this class. You are encouraged to work together
on homework assignments, but this does NOT mean copying the
work
of others nor answers from a solution manual. We will likely
complete several
activities
(mostly in groups), some in-class, others may be out of class. These
activities
will involve the current topics of the course and normally serve as an
introduction of a concept, or an application of a concept covered
earlier.
We
will
do one or two group projects. Projects are
challenging
group assignments, similar to tough take-home exam problems that
require
word processed write-ups and emphasize writing mathematics in a clear
and
concise manner. You will be given approximately 2 weeks to complete
each project. There will be roughly 400 points for homework,
activities, and projects in this class.
Class participation and attendance: There will be 50 points based on your class participation (asking questions, taking part in discussions, contributing to your group in activities, coming to office hours, etc.) and attendance. I will determine your score for these 50 points. You are responsible for all of the material covered in class each day, even if you are not present.
Late assignments and academic dishonesty: Mock
Trial participants, choir tour participants, athletes, and others
who must miss a class for participating in a college sanctioned event
are
expected to notify me in advance and complete work including tests and
quizzes in
advance
of the absence. It is the student's responsibility
to communicate with me well in advance (2 to 3 days) regarding their
absences and
determine a schedule
for make up work.
I will drop your lowest homework
assignment. In addition, each student will receive four "days" of
allowed (penalty free) late assignments. An assignment is late "one
day" if it is
turned in after I collect it, up to the following lecture period, at
which point the 2nd late day begins, and runs up to the next class
period, etc. Other than the dropped score and each student's four
days of penalty free lateness, there is no credit for late work.
Quizzes missed due to unexcused absences can NOT be made up. I am
fairly
flexible
about giving exams at alternate times, BUT you should definitely warn
me
before
the exam is missed, and plan on taking it early rather than
late.
Plagiarism
and cheating of any form are serious offenses and may result
in an F for the assignment, the course, or expulsion from the college. The details of Central's Academic Integrity
policy are found in the Student Handbook, on the web. A copy will be
sent to
you via e-mail during the first week of the semester. It is your responsibility
to read and understand the contents of that policy before you submit
work to be
graded. Questions regarding the policies and enforcement of the
policies may be
addressed to me during class or during office hours.
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The definite integral. |
5.2 # 2,6,14*,18*,20,27 Due Tues 1-21 * use technology |
| 2 |
1-21
to 25 |
The
fundamental theorem and interpretations Theorems about definite integrals |
5.3
# 2,6,11,16,24,30,34 due Wed 1-22 5.4 #2,3,6,10,18,24,28,34,35 due Fri 1-25 Quiz 1 Fri 1-25 over 5.1 to 5.3 |
| 3 |
1-28
to 2-1 |
Antiderivatives Graphically and Numerically Constructing Antiderivatives Analytically Differential Equations |
6.1 # 1,4,6,10,11,16,22 due Wed 1-30 6.2 # 4,6,8,14,20,26,28,34,40,54,60,68,72,81 due Fri 2-1 6.3 # 2,3,6,10,14,18 due Tues 2-5 |
| 4 |
2-4
to 8 |
Second Fundamental Theorem of Calculus Snow day Mon 2-4 and Wed 2-6 Equations of Motion |
6.4 # 4,5,7,8,12,18,19,23,24,26 due Mon 2-11 Extra Credit 6.5 # 1,3,4,6 Due Tues 2-12 |
| 5 |
2-11
to 15 |
Integration by Substitution Exam 1 Fri 2-15, 5.1 through 7.1 |
7.1 # 2,4,9,10,17,18,22,25,28,34,50,51, 53,56,62,65,76,83 Due Wed 2-13 |
| 6 |
2-18
to 22 |
Integration
by Parts Tables of Integrals |
7.2
#4,7,10,11,20,24,27,32,34,38,42,54
Due Mon 2-25. 7.3 #1,8,11,14,19,20,36,44 due Wed 2-27. |
| 7 |
2-25
to 29 |
Algebraic Identities and Trigonometric Substitutions |
7.4 # 2,6,9,13,16,20,24,34,40,43,44,54 due Wed 3-4. |
| 8 |
3-3
to 7 |
Approximating Definite Integrals, | 7.5# 2,4,8,9,12,13,14,18 due Fri 3-7 |
| 9 |
3-10
to 14 |
Approximation Errors and Simpson's Rule | 7.6 # 2,3,5,6 due Wed 3-26. |
| 10 |
3-15
to 24 |
SPRING BREAK | |
| 11 |
3-25
to 28 |
Improper Integrals 1 |
7.7 # 4,7,10,14,15,16,19,24,32,34,44 due Mon 3-31 |
| 12 |
3-31
to 4-4 |
Comparison of Improper Integrals, Sequences |
7.8 # 2,6,7,8,12,14,15,18,22,26 due Fri 4-4 9.1 # 4,12,14,17,19,26,27,28,42,48 due Mon 4-7 |
| 13 |
4-7
to 11 |
Geometric Series, Convergence of Series |
9.2 # 1,3,9,13,18,20,23,26,28 due Fri 4-11 9.3 # 2,4,5,11,12,13,16,17,20,24 due Fri 4-18. |
| 14 |
4-14
to 18 |
Tests For Convergence |
9.4 # 2,6,10,20,26,28,36,41,42,46,47,52,55,58 due Tues 4-22 |
| 15 |
4-21
to 25 |
Power Series, Taylor Polynomials |
9.5 # 2,4,7,9,14,16,19,23,26,32, due Tues 4-29. 10.1 # 2,3,13,14,18,20,22,28,36 due Wed 4-30. |
| 16 |
4-28
to 5-2 |
Taylor Series |
10.2 # 2,3,13,14,18,20,22,28,36. |
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