Calculus I
MAT 161, section 2, Fall 2013
Monday, Wednesday 6:00 – 7:50 PM, ICN 2402
Instructor: Kevin Boyer
e-mail: Kevin.Boyer@heartland.edu or ktboyer@ilstu.edu
Office: ICB 2402
Office hours: 5 – 6 PM MW
Phone: 268-8640 (Math Science Office – ask to speak to me)
Introduction:
This course is designed for students who will eventually pursue a career in
mathematics, science, or engineering. In addition to learning the mathematical
processes of calculus, you will also be expected to use them extensively in application
and show an understanding of the theory behind the processes. Mere memorization of
steps is not enough to succeed in this class.
Catalog Description:
Prerequisite: MATH 109 and MATH 128 with grade of C or higher, or
equivalent, or assessment. Topics include (but are not limited to) the following: limits
and continuity; definition of derivative; rate of change, slope; derivatives of
polynomial, rational, trigonometric, logarithmic and exponential functions; the chain
rule; implicit differentials; approximation by differentials; higher order derivatives;
Rolle’s Theorem; Mean Value Theorem; applications of the derivative; antiderivative; L’Hopital’s Rule (0/0 and ∞/∞); the definite integral; the fundamental
theorem of calculus; and area under the curve and Riemann Sums. Note, a
graphing calculate is required for this course (instruction will be based on a TI-89).
PCS/CIP/ID NO: 1.1270101
IAI NO. M1 900-1 (GECC), MTH901 (Major)
CREDIT HOURS: 4
CONTACT HOURS: 4
LECTURE HOURS: 4
LABORATORY HOURS: 0
Required Materials:
Textbook: James Stewart. (2012) Calculus: Early Transcendentals, 7th ed. Brooks/Cole
* WebAssign may have been included with your text. This tool contains an excellent
interactive textbook and drill questions. Although I will set up a WebAssign
course to allow access, no points will be assigned from WebAssign.
Notebook: I recommend a bound notebook with about 70 pages.
Graphing Calculator: TI-89 preferred. I will be using a TI-89 Titanium during lecture.
You must have your own calculator for tests – sharing will be treated as cheating.
Relationship to academic development programs and transferability:
MATH 161 fulfills 4 of the semester hours of credit in Mathematics required for
the A.A. or A.S. degree. This course should transfer as part of the General education
core curriculum described in the Illinois Articulation Initiative to other Illinois colleges
and universities participating in the IAI. However, students should consult an academic
advisor for transfer information regarding particular institutions. Refer to the IAI web
page for information as well as www.itransfer.org
Learning Outcomes:
After completing this course the student should be able to achieve the following:
Course Outcomes
General
Education
Outcomes
1. Evaluate limits of functions.
Throughout
the semester,
2. State and use the epsilon-delta definition of
students will
limit.
achieve the
3. Understand and apply the concept of
following
continuity (including the Intermediate Value
General
Theorem).
Education
4. Understand and use the definition of
outcomes:
derivative and interpret the derivative as an
instantaneous rate of change and as the slope PS2,CT1,
CT2,CO1
of the tangent line to a function at a point.
5. Differentiate functions using the rules for
differentiation: power, product, quotient, and
chain rules.
6. Differentiate functions implicitly.
7. Understand and apply Rolle’s Theorem and
the Mean Value Theorem.
8. Locate extreme values, points of inflection,
and asymptotes of graphs of functions.
9. Solve applied maxima/minima problems.
10. Solve related rate problems.
11. Find and apply higher order derivatives and
understand how they relate to the graph of a
function.
12. Understand and apply Newton’s Method.
13. Know the development of and connections
between exponential and logarithmic functions
14. Apply calculus to transcendental functions.
15. Use definite integrals to compute areas.
Range of
Assessment
Methods
Methods of
evaluation may
consist of, but
are not limited to
unit test(s),
quiz(zes),
homework,
project(s), and a
comprehensive
final exam.
Student Conduct
Students are expected to conduct themselves in a courteous and
responsible manner at all times. Do not use any electronic devices other than a
calculator during class. Do not talk excessively to others while the instructor is
talking to the class or while other students are participating. Do not make
offensive or discriminatory comments at any time. Failure to act in a mature and
responsible manner can result in penalties ranging from a warning up to grade
penalties, including automatic failure of the class in extremely severe cases.
Attendance and Participation
Attendance is essential to learning, especially when the pace is quickened
for a night class. Skipping class is a guaranteed way to fail the course. Please
do not miss class except for extreme emergencies. In order to fully understand
the material, you must also participate meaningfully in class by asking questions
and contributing to the solving of in-class problems. To reward faithful
attendance, I will keep track of who is here on lecture days (see schedule). I will
give the following rewards based on lecture day attendance:
Perfect attendance:
2 lowest quizzes become 20 out of 20
10 extra credit points
1 day missed:
2 lowest quizzes become 20 out of 20
2 days missed:
lowest quiz becomes 20 out of 20
3 or more days missed:
no reward – why are you even enrolled in the class if
you refuse to show up for lecture?
Although I will take attendance on quiz and test days for record keeping
purposes, those days do not count toward this benefit, since you would already
be missing a homework grade and either a quiz or test. I reserve the right to
count you as absent if you show up excessively late or if you leave before class
is over without clearing it with me beforehand.
Required Writing and Reading
Required writing will be part of most assignments and tests. Students will
be expected to explain how they found the solution, describe the solution
graphically, and interpret the answer in the context of the problem. Students are
expected to read the material in the textbook for each section studied.
Grading and Evaluation
I will collect homework problems from each class lecture. The homework
problems will be assigned on the day of the lecture, and they will be due the next
class period. Each of these assignments will be worth ten points. Your
homework total will be out of 100 points. There are 14 scheduled homework
assignments, so you can potentially miss a few assignments and still get the full
100 points total on your homework grade. I do not accept any late homework
for any reason. On days that homework is due, we will go over many of the
assigned problems. However, we will not necessarily go over all the problems.
You will be allowed to finish or correct any problems that you did not have done.
I reserve the right to give a 0 to people who are obviously not doing the
homework before class, especially to people who skipped lecture days.
There will be ten quizzes worth twenty points each. I intend to let the
entire class work together on the quizzes (no book or notes). Please note that
this is a privilege, not a right, and can be revoked if necessary. Up to two
quizzes can be replaced by perfect 20 out of 20 based on your attendance.
There will also be five tests worth one hundred points each. On the tests,
you will be working by yourselves. Your lowest test can be replaced by the
percentage you get on the final exam (as long as the percent is higher). This is
intended to reward improvement.
The final exam will be given on Wednesday December 11th during regular
class time. The final is comprehensive and must be taken at the given time. The
final will not be dropped for any reason.
Homework grade
Ten quizzes
Five exams
Final exam (comprehensive)
10 pts each
20 pts each
100 pts each
100 max
200
500
200
1000 pts
900 points guarantees an A, 800 a B, 700 a C, and 600 a D. The actual
scale might be adjusted slightly, but not by much.
Make Up Policy
Due to the grade replacement policy, I do not allow late homework or
make up quizzes for any reason. If you know you must miss a test day because
of a wedding, funeral, court date, or military duty, talk to me at least one day in
advance before you leave. If you need to stay home because of personal illness,
you must contact me by phone/e-mail sometime on the day you are absent. For
any type of absence, be ready to provide legal documentation. Remember that
for most people, one test can be replaced by the final exam percentage. Please
note that make-ups are a privilege, not a right. If you abuse the privilege, you will
not be allowed any further make-ups, even for legitimate reasons.
SUPPORT SERVICES:
Heartland Library:
www.hcc.cc.il.us/library
For more information about Library services please call the Library at (309) 268-8200.
Tutoring and Academic Support:
http://www.heartland.edu/asc/
For more information about Testing and Tutoring please call the ASC (309) 268-8410
TENTATIVE FALL SCHEDULE
Aug
19
21
Intro, algebra review
Quiz
26
28
Sept 2
4
Oct
Oct
14
16
Quiz
3.7, 3.8, 3.10, 3.11
1.1 – 1.4
Quiz
21
23
Review, Test 3
4.1 – 4.3
No class – Labor Day
1.5, 1.6
28
30
Quiz
4.4 – 4.7
4
6
Quiz
4.8
9
11
Review, Test 1
2.1, 2.7, 2.8
Nov
16
18
Quiz
2.2 – 2.4
11
13
Review, Test 4
4.9, 5.1, 5.2
23
25
Quiz
2.5, 2.6
18
20
Quiz
5.3 – 5.5
30
2
Review, Test 2
3.1 – 3.4
25
27
* Quiz
No class – Thanksgiving break
7
9
Quiz
3.5, 3.6, 3.9
2
4
Review
Test 5
9
Final Review
Dec
Final Exam: Wednesday, December 11th, regular class time
Tentative Homework Assignments (problems may be added/removed on lecture day):
Algebra Review Worksheet
1.1
3, 15, 17, 23, 25, 27, 31, 49, 63, 65
1.2
1, 7, 13, 15, 19, 21
1.3
3, 5, 13, 17, 29, 31, 33, 50, 51, 55
1.4
9, 19, 23, 33
1.5
3, 9, 15, 21, 29, 31
1.6
3, 7, 19, 22, 25, 40, 45, 47, 51, 61, 63, 69
2.1
2.7
2.8
2.2
2.3
2.4
2.5
2.6
1, 3, 5, 7
7, 11, 13, 17, 21, 27, 41, 43
Derivative Worksheet, 3, 13, 21, 23, 27, 45
5, 7, 9, 17, 31, 46
5, 10, 11, 13, 23, 25, 35, 47
1, 3, 7, 11, 15, 19, 21, 23
3, 9, 51, 55
3, 15, 19, 29, 41, 62
3.1
3.2
3.3
3.4
3.5
3.6
3.9
3.7
3.8
3.10
3.11
7, 11, 17, 21, 25, 31, 35, 47, 49, 59
3, 7, 13, 23, 27, 33, 35, 36, 49, 51
1, 7, 11, 15, 23, 35, 38, 55
9, 15, 19, 27, 29, 37, 47, 55, 63, 81, 84
5, 7, 13, 21, 29, 31, 35, 51, 73, 80
3, 5, 7, 11, 33, 45
3, 11, 12, 13, 18, 20, 27, 31, 33, 40
5, 6, 7, 15, 22, 25, 26, 30, 36, 37
3, 7, 9, 13, 15, 19
23, 25, 27, 33
9, 31, 35, 51
4.1
4.2
4.3
4.4
4.5
4.6
4.7
4.8
3, 9, 15, 17, 19, 23, 25, 29, 41, 49, 53, 57, 59, 67, 69, 70
1, 5, 7, 9, 19, 35
1, 5, 7, 9, 12, 19, 25, 39, 45, 61, 64, 66
1, 7, 11, 13, 17, 33, 35, 39
1, 9, 13, 15, 23, 35, 57
9, 21, 28, 33
3, 11, 12, 14, 21, 32, 35, 39, 45, 49, 59, 68, 69, 70
1, 7, 25, 31, Newton’s Method worksheet
4.9
5.1
5.2
5.3
5.4
5.5
1, 3, 13, 17, 21, 23, 25, 31, 33, 41, 65, 69, 77, 79
1, 5, 13, 17, 19
3, 5, 7, 19, 23, 29, 33, 37, 42, 47
3, 5, 7, 13, 19, 23, 25, 33, 45, 67, 68, 69
3, 5, 17, 21, 27, 33, 37, 51, 53, 61, 65, 69
3, 5, 7, 13, 21, 33, 45, 55, 67, 81