MAT 118
Calculus for Business and Social Science
Spring 2009
Course
ID |
Room |
Unit |
Days |
Start
Time |
End
Time |
MAT 118 |
A211 |
5 |
M,W |
1:30 PM |
3:55PM |
INSTRUCTOR: |
Helen Shen
|
PHONE: |
530-541-4660, Extension 364
|
E-MAIL: |
shen@ltcc.edu
|
OFFICE: |
A204
|
OFFICE HOURS: |
Mon. & Wed. 12:30 – 1:30 PM
Tue. & Thur. 3:00 – 4:30 PM
|
LTCC MATH PAGE: |
http://www.ltcc.edu/academics.asp?scatID=5&catID=34
|
REQUIRED TEXT: |
Applied Calculus, 5e, by Berresford and
Rockett
|
RECOMMENDED TEXT: |
Student Solutions Manual, 5e, by Berresford,
Houghton Mifflin Company
|
COUSE DESCRIPTION: |
This is a calculus course for students who intend
on majoring in business, social science, or for students who have a
general interest in calculus and its application. Topics covered include
functions, limits, differentiation, integration, and partial
derivatives.
|
PREREQUISITE: |
A grade of C or better in Math 154A, Math 154AA, or
equivalent; or a satisfactory score on Mathematics Assessment Test.
|
CALCULATOR: |
You will need a graphing calculator for this
course. TI-84 or TI-89 is recommended. You can rent TI-89 from the
library.
|
TUTORING: |
Tutoring is available at no cost in A201 (Math Success Center) on a
drop-in basis. Students will earn 0.5 point toward the total grade for
every 10 hours in MSC or DRC. However, if any student misses more than
two classes, no lab credit will be granted.
|
STUDENT LEARNING
OUTCOMES: |
1. Evaluate limits, derivatives, and integrals for both single variable
and
multivariable functions
2. Apply the integral and derivative to analyze functions that arise
from business and social science applications.
3. Solve differential equations that arise from business and social
science
Applications.
4. Apply analytic geometry to analyze curves and surfaces.
|
GRADING POLICY: |
Method of Student
Evaluation
Homework (29 sections at
6 points each) 174 points
Quizzes* (12 at 3 points
each) 36 points
Exams* (Three at 100
points each) 300 points
Final (Covers entire
course content) 150 points
Your letter grade will
be based on your percentage of the 660 possible points.
A
90-100%
B
80-89%
C
70-79%
D
60-69%
F
less than 60%
|
CHECKING YOUR GRADE
ONLINE:
|
To retrieve your grade information online, follow
these steps:
Ø
www.gradesource.com
Ø
student reports
Ø
Instructor Name: Shen
Ø
Click on your class: Math 118
Ø
Your secret number is on your Quiz #1
|
EXAM POLICY: |
Grading will
be based on progress towards the final answer, and the demonstration
of
understanding of the concept that is being tested. The more you show me
with
steps and
detail, the better your chances for partial credit. You provide me the
communication
and detail in your answers; and I will give you the best grade I can
based on that
communication and answer. You can use one page of notes, front and
back, for
quizzes, exams and the final.
|
MAKE-UP POLICY: |
For Chapter Exams,
and the Final, make-up is possible
if the absence is excused; there is a 10% penalty if the absence is not
excused. The make-up test needs to be taken before the next class. The
absence is excused for medical emergencies with the doctor’s note. You
can take your test early if you know you are going to miss the class.
The first five minutes of each class, there will be
a quiz that covers the main point from the previous lecture. Quizzes
cannot be made up; however, the quiz with the lowest score will be
dropped.
For Homework, you
must show your work to get credit, half credit for
completion and half
credit for selected problems. Homework will be accepted late up
to one week after it is assigned for half credit. You can turn in your
homework early if you know you are going to miss the class. You can
consult a classmate, a tutor, your instructor, or anyone for assistance
on the homework.
|
COMMUNICATION
POLICY: |
You can communicate with me either by coming to
class or office hours, sending
an e-mail, or calling on the phone. I will respond
to your e-mails in a timely manner, and I will do my best to return your
calls (you need to make sure to leave your number clearly). If you miss
the class, it is your responsibility to pick up the class handouts or
obtain the information either from your classmates or from me during the
office hours.
I have students work together to help each other.
Please feel free to ask me directly if you like to work with me
one-on-one.
·
Please see me if you do not understand my policies.
·
Since English is my secondary language, please be sure to ask me if you
have any difficulty understanding math due to my accent. I will be happy
to clarify.
|
LEARNING
DISABILITIES: |
If you have a certified learning disability,
be sure to discuss your special needs with me during the first week of
class. Learning disabilities will be accommodated.
|
REGISTRATION: |
·
You must register for this class at the Office of Admissions and
Records.
·
The last day to drop the class
with no record is Friday, May 1.
·
The last day to declare CR/No
Credit is Friday, May 1.
·
The last day to drop the class
for a “W’ grade is Friday, May 22.
·
After May 22, if you are
enrolled, you will receive some kind of grade.
·
It is your responsibility to drop the class in order to avoid
a grade. You can choose Credit/Non-Credit for the class before the date
specified on the schedule. I will drop a student from the class if
the student misses more than four classes and is unable to keep up with
the learning.
|
FINANCIAL
ASSISTANCE: |
If you need help paying
for your books or other expenses, call our financial aid
officer, America
Ramirez, at 541-4660 x236, email her at
Ramirez@ltcc.edu, or
drop by A100.
|
HOW TO SUCCEED
IN A MATH CLASS: |
1) Read your textbook
before class.
2) Choose to attend all class periods and be
on time.
3) Exchange names and phone number with
classmates.
4) Learn from your
mistakes and be patient with yourself.
5) Don’t be afraid of
asking questions.
6) Know how to get help
if you need it.
7) Organize your class
materials.
8) Do your homework.
9) Check your work.
10) Hand in assignments
on time.
|
Tentative Lecture
Schedule for Math 118
Be sure to use class time, office hours, and the MSC to
get all of your questions answered.
For your homework, make sure you separate each section
on the different pages and separate each problem on the different lines. There
will be one point deduction for each section if the grader cannot read your
answers. ALWAYS WRITE THE HOMEWORK # AND SECTION #s FOR EACH HOMEWORK; MAKE SURE
TO WRITE THE DATE THAT YOU TURN IN IF YOU TURN IN HOMEWORK LATE.
EOO means
Every Other Odd (i.e. #1, 5, 9, 13...)
Date |
Section |
Topic
|
Homework
|
M 4/6 |
1.3
1.4 |
Introductions, Discussion of Syllabus
Functions
Functions, continued |
1-33 EOO, 65, 67, 69,
(73,) 76, 79
1-13 EOO, 31-45 Odd,
49-55 Odd, 63, 65, 74, 81, 85, (87)
Turn in Homework
#1 (Sections 1.3-1.4)
next class |
W 4/8 |
2.1
2.2 |
Limits and Continuity
Rates
of Changes, Slopes, and Derivatives
|
1-45 EOO, 81
Turn in Homework
#2 (Sections 2.1)
next class |
M
4/13 |
2.2
2.3 |
continue
Some
Differentiation Formulas |
1-39
EOO, 55, 59
1-25
EOO, 31, 33, 45, 47, (50,) 56, (60)
Turn in Homework
#3 (Sections 2.2-2.3)
next class |
W
4/15 |
2.4
2.5 |
The
Product and Quotient Rules
Higher-Order Derivatives |
1-25
EOO, 59, 60, 61, 62, 65, 66, (67)
1a),
b), 5a), b), 9a), 13, 15, 17, 21, 33, (40,) 41, 42, 44, (46), 54
Turn in Homework
#4 (Sections 2.4-2.5)
next class |
M
4/20 |
2.6
2.7
|
The Chain Rule and the
Generalized Power Rule
Nondifferentiable
Functions
|
1-41
EOO, 53, 58, (59, 62,) 63
1, 5, 9, 15
Turn in Homework
#5 (Sections 2.6-2.7)
next class |
W
4/22 |
3.1
|
Graphing Using the First Derivative
Review for Exam 1 |
1-4 all, 11, 13,
17, 33, (65,) 71
Turn in Homework
#6 (Sections 3.1) on Apr. 29 |
M
4/27 |
|
Exam
1 (Section 2.1~2.7) |
|
W
4/29 |
3.2
3.3 |
Graphing using the First and Second Derivatives
Optimization |
1,5,
9, 13, 41, 47, 49, 51, 52, (60,) 66
1-17
EOO, 26, 28, 30, 31, 32, 37, 41, 56
Turn in Homework
#7 (Sections 3.2-3.3)
next class |
M 5/5 |
3.4
3.5
|
Further Applications of Optimization
Optimizing Lot Size and Harvest Size
|
1, 3,
8, 14, (16)
1, 5,
9, 13, 18
Turn in Homework
#8 (Sections 3.4-3.5)
next class |
W 5/6 |
4.1
4.2 |
Exponential Functions
Logarithmic Functions |
1-9
odd, 12, 13, 27, 28, 33, (36,) 37, 43, 49
1, 3,
5, 7, 15, 17, 25, 36, 43, 47
Turn in Homework
#9 (Sections 4.1-4.2)
next class |
M
5/11 |
4.3
4.4
|
Differentiation of
Logarithmic and Exponential Functions
Two
applications to Economics: Relative Rates and Elasticity if Demands |
1-55
Multiple of 5, 69, 70, 77, 81, 82
1-33
EOO, 35
Turn in Homework
#10 (Sections 4.3-4.4) next class |
W
5/13 |
5.1
|
Antiderivatives and
Indefinite Integrals
Review |
1-37
EOO, 43,45, (50,) 52
Turn in Homework
#11 (Sections 5.1) on May 20 |
M
5/18 |
|
Exam
2 (Section 3.1~3.5 & 4.1~4.4) |
|
W
5/20 |
5.2
5.3 |
Integration Using Logarithmic and
Exponential Functions
Define Integrals and Area
|
1-33
EOO, 35, 39, 43, (48,) 51, 53
1-61
EOO (skip 13, 17), 75, 76, 81, 84, 85, 90
Turn in Homework
#12 (Sections 5.2-5.3) next class |
M
5/25 |
|
MEMORIAL DAY HOLIDAY |
|
W
5/27 |
5.4
5.5 |
Further Applications of Defined Integrals: Average Value and Area
between Curves
Two
Applications to Economics: Consumer’s
Surplus and Income Distribution |
1-21
EOO, 27, 33, 37-53 EOO, 63, 67
1-29
EOO, 31
Turn in Homework
#13 (Sections 5.4-5.5) next class |
M 6/1 |
5.6
6.1 |
Integration by substitution
Integration by Parts |
1-49
EOO, 51-59 EOO, 65, 69, (71)
1-41
EOO, 53, 54, 55
Turn in Homework
#14 (Sections 5.6-6.1) next class |
W 6/3 |
7.1
7.2 |
Functions of Several variables
Partial Derivatives
|
1-21
EOO, 23, 27, 33
1-41
EOO, 45, 50, (52)
Turn in Homework
#15 (Sections 7.1-7.2) next class |
M 6/8 |
7.3 |
Optimizing Functions of Several Variables
Review |
1-17
EOO, 21, 23, (24,) 29, 30
Turn in Homework
#16 (Sections 7.3) on Jun. 15 |
W
6/10 |
|
Exam
3 (Section 5.1~5.6, 6.1, & 7.1~7.2) |
|
M
6/15 |
7.5
|
Lagrange Multipliers and Constrained Optimization
|
1-21
EOO, 25, 31, 32
Turn in Homework
#17 (Sections 7.5) next class |
W
6/17 |
|
Review for Final |
|
M
6/22 |
|
Cumulative
Final Exam
(2:00-3:50pm) Noted time |
|
|