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MAT 105 Calculus and Analytical
Geometry Fall
2003 Instructor:
Bruce Armbrust, phone: 541-4660 ext. 314, email: armbrust@ltcc.edu Office Hours:
Room A210,
Tues.
3:30 – 4:30 PM Wed.
1:00 - 2:00 PM Thurs.
12:00 - 1:00 PM GMC G4,
Mon. & Wed. 9:30
– 10:30 AM 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-92. I should be able to help you individually if you have another
type of calculator. Course Description:
This course deals with elements of analytical geometry, limit theory, continuity
of the derivative and its applications, the antiderivative, the definite
integral, the fundamental theorem of calculus, properties of the integral, and
area. Prerequisite:
A grade of C or better in MAT 103B and MAT104, or appropriate skills
demonstrated through the Math assessment process. 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
(October 8) Exam2
(October 27):
450 points Exam3
(November 19) Final Exam
(December 8):
300 points Homework:
Homework will be due by 2:00 PM 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: 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. 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 October 17. After October
17, you may drop the class and receive a grade of W until November 21.
After November 21, 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 my 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. September 22
1.1
Introductions, Preview of Calculus 23
1.2
Limits: Graphing, Numerical 24
1.2
Limits: e
and d
Definition 25
1.3
Limits: Analytical 29
Flex Day
Quiz I (Sections 1.1&1.2) 30
1.4
Continuity and One-Sided Limits October 1
1.5
Infinite Limits 2
2.1
Definition of the Derivative 6
Flex Day
Quiz II (Sections 1.3-1.5) 7
2.2
Differentiation Rules (Basic) 8
Exam I (Chapter One)
9
Go Over Exam I 13
2.3
Product & Quotient Rules, Higher Order Derivatives 14
Flex Day
Quiz III (Sections 2.1 & 2.2) 15
2.4
Chain Rule 16
2.5
Implicit Differentiation 20
2.6
Related Rates 21
Flex Day
Quiz IV (Sections 2.3-2.5) 22
3.1
Extrema 23
3.2
Rolle’s Theorem and the Mean Value Theorem 27
Exam II (Chapter Two) 28
Go Over Exam II 29
3.3
First Derivative Test: Increasing & Decreasing Functions 30
3.4
Second Derivative Test: Concavity November
3
3.5
Infinite Limits 4
3.6
Curve Sketching: The Summary 5
Flex Day
Quiz V (Sections 3.1-3.4) 6
3.7
Optimization 10
NO CLASS
VETERANS DAY 11
3.8
Newton’s Method 12
Flex Day
Quiz VI (Sections 3.5-3.7) 13
3.9
Differentials 17
4.1
Antiderivatives and Indefinite Integrals 18
4.2
Areas 19
Exam III (Chapter Three) 20
Go Over Exam III 24
4.3
Riemann Sums and Definite Integrals 25
4.4
The Fundamental Theorem of Calculus 26
Flex Day
Quiz VII (Sections 4.1-4.3) 27
NO CLASS
THANKSGIVING December 1
4.5
Substitution 2
4.6
Numerical Integration 3
Flex Day
Quiz VIII (Sections 4.4 & 4.5) 4
Flex Day
Final Review 8
Final Exam
Note: The final is from 8:00 - 9:50 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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