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MAT 107 Calculus and Analytical
Geometry Spring
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. 11:00 AM - 12:00 PM And as always, by appointment. Class Time and Location:
Mon., Tues., Wed., & Thurs. 7:55 - 9:00 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 106. It
covers sequences and series, Taylor polynomials, polar coordinates, and
differentiation and integration of multivariate functions. Prerequisite:
A grade of C or better in MAT 106. 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 (April
24) Exam2 (May
15):
450 points Exam3 (June
5) Final Exam
(June 23):
300 points Homework:
Homework will be due by 2PM 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:
Quizzes will be given during the first 5 minutes of each class period.
Each quiz will consist of one problem relating to the content of the
previous day’s lecture. Your
three lowest quiz scores will be dropped. 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 May 2. After April 26, you
may drop the class and receive a grade of W until June 6.
After June 6, 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 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. April
7
8.1
Sequences 8
8.2
Series and Convergence 9
8.3
Integral Test and p-Series 10
8.4
Comparison Test 14
8.5
Alternating Series 15
8.6
Ratio and Root Tests 16
8.7
Taylor Polynomials 17
Flex Day April 21
8.8
Power Series 22 8.9 Representing Functions with Power Series 23
8.10
Taylor and Maclaurin Series 24
Exam I
28
Go Over Exam I 29
9.1
Conic Sections 30
9.2
Parametric Equations May 1
9.3
Calculus and Parametric Equations 5
9.4
Polar Equations 6
Flex Day
7
9.5
Calculus and Polar Equations 8
10.1
Vectors in the Plane 12
10.2
Vectors in Space 13
10.3
Dot Products 14
10.4
Cross Products 15
Exam II
19
Go Over Exam II 20
10.5
Lines and Planes in Space 21
10.6
Surfaces in Space 22
Flex Day 26
NO CLASS
MEMORIAL DAY 27
10.7
Cylindrical and Spherical Coordinates 28
12.1
Multivariable Functions 29
12.2
Limits and Continuity June
2
12.3
Partial Derivatives 3
12.4
Differentials 4
12.5
Chain Rules 5
Exam III 9
Go Over Exam III 10
12.6
Directional Derivatives and Gradients 11
12.7
Tangent Planes and Normal Lines 12
12.8
Extrema for Functions of Two Variables 16
Flex Day 17
12.9
Applications of Extrema 18
12.10
Lagrange Multipliers 19
Review 23
Final Exam
Note: The final is from 8:00 - 10:00 AM |