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MAT 105
Calculus and Analytical Geometry
Fall 2012
Instructor:
Bruce Armbrust, ph: 541-4660 x314, email:
bruce.armbrust@hotmail.com
Office Hours:
Room A210, Mon., Fri.
11:00 AM – 12:00 PM
Tues, Thurs.
9:30 – 10:30 AM
MSC A201, Wed.
12:00 – 1:00 PM
And as always, by appointment.
Class Time and Location:
Mon., Wed., & Fri. 9:00 - 10:40 AM, E106
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.
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.
Student Learning Outcomes: 1.
Differentiate functions of a single variable using the basic rules of
differentiation.
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:
15%
Quizzes:
15%
Exam1 (October 5)
Exam2 (October 26):
45%
Exam3 (November 19)
Final Exam (December 5):
25%
Homework:
Homework will be due by 3:00 PM the class day after it is assigned.
Homework not turned in at this time will be considered late (no
exceptions). 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.
Your homework score will be determined in the following way: up to 5 points for
completion and one point each for 5 problems chosen at random to be graded.
Quizzes:
There will be 6 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 school 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
October 12. After October 12, you
may drop the class and receive a grade of W until November 2. After November 2,
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 Math Success Center (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.
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 the ability to drop exams and quizzes 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.
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.
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
17
1.1
Introductions, Preview of Calculus
GO BRONCOS!!!
19
1.2
Limits: Graphing, Numerical
21
1.2
Limits:
e
and
d
Definition
24
1.3
Limits: Analytical
26
1.4
Continuity and One-Sided Limits
28
1.5, Quiz I
Infinite Limits
October
1
2.1
Definition of the Derivative
3
2.2
Differentiation Rules (Basic)
5
Exam I
8
2.3
Product and Quotient Rules
10
2.4
Chain Rule
12
2.5, Quiz II
Implicit Differentiation
15
2.6
Related Rates
GO BRONCOS!!!
17
3.1
Extrema
19
3.2, Quiz III
Mean Value Theorem
22
3.3
First Derivative Test, Increasing & Decreasing Functions
24
3.4
Concavity
26
Exam II
29
3.5
Infinite Limits
31
3.6
Curve Sketching: The Summary
November
2
3.7, Quiz IV
Optimization
5
3.8
Newton’s Method
7
3.9
Differentials
9
4.1, Quiz V
Antiderivatives and Indefinite Integrals
12
NO CLASS
VETERANS DAY
14
4.2
Areas
16
4.3
Riemann Sums and Definite Integrals
19
Exam III
21
4.4
The Fundamental Theorem of Calculus
23
NO CLASS
THANKSGIVING
26
4.5
Integration by Substitution
28
4.6, Quiz VI
Numerical Integration
30
Review
December
5
Final Exam
Note: The final is from 10:00 - 11:50 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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