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MAT 106
Calculus and Analytical Geometry
Winter 2010
Instructor:
Bruce Armbrust, phone: 541-4660 ext. 314, email:
armbrust@ltcc.edu
Office Hours:
Room A210, Mon.
Thurs.
Fri.
MSC A201,
Tues.
Wed.
And as always, by appointment.
Class Time and Location:
Mon., Wed., & Fri. 9:
Textbook:
Calculus,
9th Edition, by Larson, Hostetler, & Edwards
Calculator:
A graphing calculator is required for this class.
I will be demonstrating with the TI-89.
I should be able to help you individually if you have another type of
calculator, but I offer no promises...
Course Description:
This course is a
continuation of MAT 105. Applications of the integral, techniques of
integration, exponential and logarithmic functions, hyperbolic functions, and
inverse trigonometric functions will be studied.
Prerequisite:
A grade of C or better in MAT 105 or equivalent.
Student Learning Outcomes:
By the end of the term, students shall be able to:
1.
Employ integrals to applications from physics.
Course Grade:
Your final letter grade will be based on the usual grading scale:
A 90-100%, B 80-89%, C 70-79%, D 60-69%, F 0-59%
The following items will make up the course grade:
Homework:
10%
Quizzes:
15%
Exam1 (January 25)
Exam2 (February 24):
45%
Exam3 (March 15)
Cumulative Final Exam (March 24):
30%
You may check your grades at any point in the quarter by going to the following
website:
http://www.gradesource.com/reports/1027/17733/index.html
Quizzes:
There will be eight quizzes given over the quarter.
They will be designed to help prepare you for the exams, and quiz
problems will be taken directly from the homework assignments.
Your lowest quiz score will be dropped.
Since your lowest score will be dropped, missed quizzes may not be made
up.
Exams:
All exams will be given in two sections: one portion will allow calculators
while the other will not. If you
cannot make it to an exam (final not included), you may take it up to 2 school
days prior to the scheduled date with proper arrangements.
Otherwise, the exam may be made up after the scheduled date with a
penalty of 10% per day. The final
exam may not be taken after the scheduled exam time.
Registration Information:
You may drop the class with no penalty or mark on your record on or before
January 29. After January 29, you
may drop the class and receive a grade of W until February 19.
After February 19, if still enrolled, you will receive a grade of A, B,
C, D, F or I.
How to Succeed in a Math Class:
I am often asked how to successfully pass a math class, and here is my advice:
I) Come to every class session. Be
prepared, and plan on participating.
II) Do your homework. Remember that
what I assign is what I consider a bare minimum.
If you need more practice, do it.
III) Read the book. You paid good
money for it, so you might as well use it.
IV) Make use of available tutors and my office hours.
You will find tutors who know the subject matter in this course at the
MSC.
V) Do math every day. Math is just
like everything else: if you don’t practice, you become rusty.
Learning Disabled Students:
Students with disabilities who may need accommodations for this class are
encouraged to notify me and contact the Disability Resource Center (DRC) early
in the quarter so that reasonable accommodations may be implemented as soon as
possible. Students may contact the DRC by visiting the Center (located in
room A205) or by phoning 541-4660, ext. 249 (voice) or 542-1870 (TTY for deaf
students). All information will remain confidential.
Technology in the Classroom:
All cell phones, headphones, MP3 players, iPods, etc, must be turned off and put
away prior to the start of each class.
No electronic devices (other than calculators) may be used during quizzes
and exams.
Academic Dishonesty:
Academic dishonesty of any form will not be tolerated.
Students caught cheating on exams or quizzes will receive a score of zero
on the assignment and all dropping of lowest exam or quiz scores will be
forfeit. Students may work together
on homework assignments (and, in fact, are encouraged to) as long as all
students understand the material covered.
Course Schedule:
The following is a tentative schedule.
If things change, I will let you know.
January
4
5.1
Differentiation with Logarithms
6
5.2
Integration with Logarithms
8
5.3
Inverse Functions
11
5.4, Quiz I
Calculus on Exponential Functions
13
5.5
Bases Other Than e
15
5.6
Differentiation with Inverse Trigonometric Functions
18
NO CLASS
MARTIN LUTHER KING HOLIDAY
20
5.7, Quiz II
Integration with Inverse Trigonometric Functions
22
5.8
Hyperbolic Functions
25
Exam I
27 6.1 Slope Fields and Euler’s Method
29
6.2
Basic Differential Equations
February
1
6.3, Quiz III
Separation of Variables
3
6.4
First-Order Linear Differential Equations
5
7.1
Area Between Curves
8
7.2, Quiz IV
Volumes by Disk Method
10
7.3
Volumes by Shell Method
12
NO CLASS
15
NO CLASS
17
7.4
Arc Length and Surfaces of Revolution
19
7.5, Quiz V
Work
22
Review
24
Exam II
26
7.6
Moments, Centers of Mass, and Centroids
March
1
7.7
Fluid Pressure and Fluid Force
3
8.1, Quiz VI
Basic Integration Rules
5
8.2
Integration by Parts
8
8.3
Trigonometric Integrals
10
8.4, Quiz VII
Trig. Substitution
12
8.5
Partial Fractions
15
Exam III
17
8.7
Indeterminate Forms and L’Hopital’s Rule
19
8.8
Improper Integrals
22
Review, Quiz VIII
24
Final Exam
Note: The final is from
The following is a list of all homework assignments for this course. The due dates for the various sections will be given in class.
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