Math Analysis
2006
Teacher: Matthew Hurd Telephone: 757 253-5940
E-mail: mhurd@ycsd.york.va.us
Textbook: Precalculus With Limits: A Graphing Approach. Larson, Hostetler, and Edwards. 2005.
Course Description: Math Analysis is the next step in furthering your
mathematic knowledge in high school.
This course will take an in-depth look at topics discussed in Algebra
2. We will look more at “why” something
in math occurs and try to prove it based on prior knowledge. Upon completion of this course you will be
completely prepare for Calculus next year or any further mathematics courses
you pursue in higher education.
Course Competencies: Upon Completion of this course you will be better
able to do the following:
¨ The
student will investigate and identify characteristics of polynomial and
rational functions and use these to sketch the graphs of the functions. This will include determining zeros, upper
and lower bounds, y-intercepts, symmetry, asymptotes, intervals for which the
function is increasing or decreasing, and maximum or minimum points. Graphing utilities will be used to
investigate and verify these characteristics
¨ The
student will find compositions of functions and inverses of functions. Analytical methods and graphing utilities
will be used to investigate and verify the domain and range of resulting
functions.
¨ The
student will investigate and describe the continuity of functions, using
graphs. The functions will include
absolute value, piecewise, and step functions
¨ The
student will investigate and identify the characteristics of exponential and
logarithmic functions in order to graph these functions and to solve equations
and practical problems. This will
include the role of e, natural and common logarithms, laws of exponents and
logarithms, and the solution of logarithmic and exponential equations. Graphing utilities will be used to
investigate and verify the graphs and solutions.
¨ The
student will identify, create, and solve practical problems involving
triangles. Techniques will include using
the trigonometric functions, the Pythagorean Theorem, the Law of Sines, and the
Law of Cosines.
Course Requirements: Each student
is required to bring the following material to class every day: Textbook (supplied), three ring binder with
paper and graph paper, pencil, and calculator.
I recommend the TI-83 or TI-83+.
The three ring binder is required for notes, handouts, study guides, and
note supplements.
Attendance Policy: To comply with
Evaluation: Each student will
earn a grade based on his/her performance, initiative, and level of
effort. All submitted papers will have
the students name, date, assignment, and period listed in the upper right hand
corner of the first page, and will be submitted in pencil. The following
categories will comprise the quarterly/final grade:
Homework
(20%): Homework will be assigned for
each class period. Therefore you can
expect to have homework every night or every other night for this class. To
be successful in this class, it is absolutely vital that you complete the
assigned homework. Homework will
be collected at random, and will be graded on a ten point system.
·
Four points for overall level of effort (all problems attempted,
most completed correctly, and in a logical manner)
·
Three problems within the homework assignment will be specifically
graded. Two points will be awarded for
each of theses problems, for 6 points.
**Late
Homework** Homework will be accepted late.
However, three points will automatically be lost per day (days the class
meets) that the homework is late. For
example, if an assignment is due on 8 September (Thursday), and it is turned in
on 12 September (Monday), then the maximum grade the assignment will receive is
7 points. If the same assignment is
turned in on 14 September, it could receive a maximum of four points (two class
days late).
Quizzes/Classroom
Work (40%): Students can expect quizzes
or a graded in-class assignment every week.
Some will be announced ahead of time, while others will be
unannounced. The exact weight of each
quiz or in-class work assignment will be at the discretion of the teacher.
Tests
(40%): Students can expect to have a
test every two to four weeks. The date and time of tests will be known a
minimum of one week before the exam date.
Each test will count the same as the other tests, and will comprise 40%
of the students overall grade.
**Missed
Work** If you are absent (excused) on
the day of a quiz, you have the number of days that you missed plus one to
“make up” the quiz regardless of when the class meets again. For example if you are excused on a Monday and
Tuesday, and return to school on Wednesday, you have until, Friday to make up
the required work. Homework for the days
you are absent will be turned in for grading in accordance with the quiz
schedule discussed above. If you are
absent on the day of a test, a make up day and time will be arranged. Graded in class-work that is conducted on
days that a student is absent will neither count for nor against the student’s
grade.
Quarter
Grades: Quarter grades are based upon
the standard
A 92-100%
B 84-91%
C 75-83%
D 67-74%
F < 67%
The final grade will be determined
from the two Quarter grades and the final exam. The final exam will count as
20% of the overall grade.
Tutoring and After School Help: I will
post my availability on the board each Monday for that week. I anticipate that I will be available for
tutoring at least three days per week after school, and other times by
appointment. If you are having
difficulty with any of the concepts in class, or need additional help, I highly
recommend and encourage you to come see me after school.
Class Procedures and Expectations:
A. Arriving/Leaving
the Room:
·
It is expected that you will be in your seat when the bell rings. Those that are not will be counted as tardy.
·
You may not leave during the first or last 10 minutes of class
·
You must have your own planner signed to leave the room. You may leave a maximum of five times per
quarter. Please set aside five spaces
per quarter for this class.
·
Use of the restroom or going to your locker is not guaranteed
during my class
B.
Food and Drinks:
·
Food is not permitted in the classroom
·
Water is permitted provided it is in a clear plastic container
with a top on it. Soda, juice, sports
drinks etc. are not permitted.
C.
It is expected that students will follow all rules and
regulations as defined in the Student Handbook and Conduct Code, as well as the
guidelines laid out in this class
Students,
your signature below indicates that you have read, understand, and will abide
by the course procedures outlined above.
Parents, your signature indicates that you have read and understand
these procedures.
Student
Signature:_________________________ Parent/Guardian
Signature:________________________
Printed
Name:____________________________ Printed
Name:__________________________________