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MAT 106 Calculus and Analytical
Geometry Winter
2003 Instructor:
Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu Office Hours:
Room A210,
Mon. & Wed.
9:30 - 10:30 AM Fri.
10:00 - 11:00 AM GMC G4,
Tues. & Thurs.
1:15 - 2:15 PM And as always, by appointment. Class Time and Location:
Mon., Tues., Wed., & Thurs. 8:00 - 9:05 AM, E106 Textbook: Calculus, 7th Edition, by Larson, Hostetler,
& Edwards Calculator: A
graphing calculator is required for this class. I will be demonstrating with the TI-85. I should be able to help you individually if you have another
type of calculator. Students will
not be allowed to use the TI-89, TI-92, or other CAS equipment on exams. 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. Course Objectives: The
successful student will: 1)
exhibit a proficiency in the topics covered in the
course; 2)
engage in logical and critical thinking; 3)
read technical information; and 4)
demonstrate the solution to problems by translating
written language into mathematical statements, interpreting information,
sketching relevant diagrams, analyzing given information, formulating
appropriate mathematical statements, and checking and verifying results. 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:
100 points Quizzes:
150 points Exam1
(January 23) Exam2
(February 13):
450 points Exam3 (March
6) Final Exam
(March 24):
300 points Homework:
Homework will be due by noon the day after it is assigned.
Homework not turned in at this time will be considered late. You may turn
in homework up to one week after it is assigned for half credit.
If all homework is turned in, and no more than three are late, the lowest
regular exam score will be dropped. Quizzes:
There will be 8 quizzes given over the quarter.
These quizzes 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
one score will be dropped, you may not make up a missed quiz. Exams:
Students are to bring a pencil and blank scratch paper to each exam.
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. Registration Information: You
must register for this class at the Office of Admissions and Records.
You may drop the class with no penalty or mark on your record on or
before January 31. After January
31, you may drop the class and receive a grade of W until March 7.
After March 7, if you are 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 GMC. V) Do math
every day. Math is just like
everything else: if you don’t practice, you become rusty. Learning
Disabled Students: It is important that students
who are identified as being learning disabled speak to me about their special
needs. I am more than willing to
grant you reasonable accommodations. 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 for the first offense and a course grade of F for the second
offense. 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 (and I have money that says they will), I will let you know. January 6
4.4,4.5
Integration Review 7
5.1
Differentiation with Logarithms 8
5.2
Integration with Logarithms 9
Quiz I
Flex Day 13
5.3
Inverse Functions 14
5.4
Differentiation and Integration with Exponential Functions 15
5.5
Bases other than e 16
Quiz II 20
NO CLASS
MARTIN LUTHER KING DAY 21
5.6
Differential Equations 22 5.7 Separation of Variables 23
Exam I 27
Go Over Exam I 28
5.8
Differentiation with Inverse Trig Functions 29
5.9
Integration with Inverse Trig Functions 30
Quiz III
Flex Day February 3
5.10
Hyperbolic Functions 4
6.1
Area Between Curves 5
6.2
Volumes by the Disk Method 6
Quiz IV
Flex Day
10
6.3
Volumes by the Shell Method 11
6.4
Arc Length and Surfaces of Revolution 12
6.5
Work 13
Exam II 17
NO CLASS
WASHINGTON’S BIRTHDAY
18
Go Over Exam II 19
6.6
Moments, Centers of Mass, and Centroids 20
Quiz V
Flex Day 24
6.7
Fluid Pressure and Fluid Force 25
7.1
Basic Integration Rules 26
7.2
Integration by Parts 27
Quiz VI
Flex Day March
3
7.2
Integration by Parts (Day 2) 4
7.3
Trig Integrals 5
7.4
Trig Substitution 6
Exam III 10
Go Over Exam III 11
7.4/7.5
More Trig Sub, Partial Fractions 12
7.5
Partial Fractions 13
Quiz VII
Flex Day 17
7.7
L’Hopital’s Rule 18
7.8
Improper Integrals 19
Review 20
Quiz VIII
Flex Day 24
Final Exam
Note: The final is from 8:00 - 10:00 AM 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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