COURSE DESCRIPTION :
This course covers a wide range of real world applications of college-level
algebraic and
trigonometric topics, such as linear and quadratic equations, right-triangle
trigonometry and
vectors, and exponents and logarithms, and students will develop problem- solving
skills
relevant to their disciplines. This course is primarily for students in certain
technically oriented
disciplines.
REQUIREMENTS
Your grade will consist of four test and a list of graded homeworks. Each
test and the
combined homeworks account for 20% of your grade.
GRADING POLICY
_______ A Total number of points between 450 and 500
_______ B Total number of points between 400 and 449
_______ C Total number of points between 350 and 399
_______ D Total number of points between 300 and 349
_______ F Total number of points received is less than 300
ATTENDANCE POLICY FOR THIS COURSE:
You are expected to attend all scheduled classes. Should
you miss a class, you are
responsible for all work missed. Attendance is relative in an online course. You
are required
to either attend chat or email me at least once a week with a progress report.
MATERIALS: A scientific or graphing calculator. The
calculator MUST be able to handle
exponential, logarithmic and trigonometric functions.
TEXT(S):
Introduction to Technical Mathematics (5th Edition) Custom CCBC Edition
Washington Triola Reda Pearson Addison Wesley (Required)
SPECIAL PROCEDURES I will mail back the first three
test to you, graded and with comments,
within 24 hours of when I receive it. I will also post your grade to the WebCT
online
gradebook. All of the graded homeworks will receive a grade via email within 24
hours of
when I receive it.
COMMENTS: Enjoy the class!
CALENDAR
| FALL 2009 |
FULL Term |
1st 7-Week
Session |
2nd 7-Week
Session |
| Classes BEGIN |
August 31 |
August 31 |
October 14 |
| LABOR DAY- College CLOSED |
September 7 |
September 7 |
|
| Saturday Classes BEGIN |
September 12 |
|
|
| 50% refund ends |
September 18 |
September 4 |
October 23 |
| Mid- Term grades |
October 19 |
September 18 |
November 9 |
Last day to withdraw with “W” or
change to audit “AU” |
November 6 |
September 25 |
November 17 |
| NO CREDIT CLASSES SCHEDULED |
November 25 |
|
November 26 |
Thanksgiving Holiday - NO
CLASSES |
November 26-
29 |
|
November 26-29 |
| Last day of classes |
December 12 |
October 10 |
December 5 |
| Final Exams |
December 13-
19 |
|
Last day of class |
| Final Grades entered by |
December 21 |
October 13 |
December 15 |
CLASS FINAL EXAM DATE: Absolutely NO LATER than
December 19, 2009
TENTATIVE LIST OF DATED ASSIGNMENTS
Assignments should be FINISHED no later than the date
posted below:
• September 2, 2009
o Unit 1 Section 1 - Scientific Notation
o Begin the course by first reading my online lecture notes. Then read the
corresponding
sections of the text. Do the text homework and the practice homework. That will
prepare you to do the graded homework.
• September 4, 2009
o Unit 1 Section 2 - Significant Digits
• September 6, 2009
o Unit 1 Section 3 - Algebra of Functions
• September 9, 2009
o Unit 1 Section 4 - Direct and Inverse Variation
• September 12, 2009
o Unit 1 Section 5 - Evaluating Functions
• September 15, 2009
o Unit 1 Section 6 - Graphing Functions
• September 17, 2009
o Unit 1 Section 7 - Linear Functions
• September 20, 2009
o Unit 1 Section 8 - Graphs of Quadratic Functions
• September 22, 2009
o Unit 1 Section 9 - Reading Graphs
• September 24, 2009
o Unit 2 Section 1 - Solving Systems of Equations
o This begins unit 2. Make sure you take the practice test before you take the
real test.
The real test is due by October 4.
• September 27, 2009
o Unit 2 Section 2 - Applied Systems of Linear Equations
• October 2, 2009
o Unit 2 Section 3 - GCF and Difference of Squares
• October 4, 2009
o Unit 2 Section 4 - General Factoring
o Remember that Unit 1 Test is due today.
• October 7, 2009
o Unit 2 Section 5 - Solving Quadratics by Factoring
• October 10, 2009
o Unit 2 Section 6 - Solving Quadratics by Quadratic Formula
o This ends unit 2 of the course. Take test 2 by October 17. Make sure you try
the practice
test before taking the real test.
• October 12, 2009
o Unit 3 Section 1 - Right Triangle Trig
o This begins unit 3 and the material will be on your third test. This section
may be very
new for many of you. Make sure you come to chat if you need me.
• October 15, 2009
o Unit 3 Section 2 - Inverse Trig Functions
• October 17, 2009
o Unit 2 Test Due Today!!!
• October 18, 2009
o Unit 3 Section 3 - Solutions of Right Triangles
• October 21, 2009
o Unit 3 Section 4 - Application Problems
• October 24, 2009
o Unit 3 Section 5 - More Trig Functions
• October 27, 2009
o Unit 3 Section 6 - Oblique Triangles
• October 30, 2009
o Unit 3 Section 7 - Reference Angles
• November 2, 2009
o Unit 3 Section 8 - Law of Sines
• November 5, 2009
o Unit 3 Section 9 - Law of Cosines
• November 8, 2009
o Unit 3 Section 10 - Vectors and their Applications
• November 11, 2009
o Unit 3 Section 11 - Graphing and Addition of Vectors
• November 15, 2009
o Unit 3 Section 12 - Radian Measures
• November 18, 2009
o Unit 3 Section 13 - Arc Length & Sector Area
• November 21, 2009
• Unit 4 Section 1 - Properties of Exponents
• November 30, 2009
o Unit 3 Test Due Today!!!!, but you should try to get it done BEFORE
Thanksgiving Break.
• December 1, 2009
o Unit 4 Section 2 - Exponential Growth
• December 3, 2009
o Unit 4 Section 3 - Logarithmic Functions
• December 5, 2009
o Unit 4 Section 4 - Properties of Logs
• December 7, 2009
o Unit 4 Section 5 - Common and Natural Logs
• December 9, 2009
o Unit 4 Section 6 - Properties of Logs
• December 12, 2009
o Unit 4 Section 7 - Applications of Logs and Exponential Decay
• December 19, 2009
o Exam 4 is due today.
COURSE OBJECTIVES
Upon successful completion of this course students will be
able to:
1. define various algebraic functions (I, 2);
2. express concepts of algebra and trigonometry using
appropriate terminology (I, 2);
3. solve linear and quadratic equations in applied
settings (I, 2);
4. solve problems involving trigonometry, vectors,
exponents, and logarithms (I, 2);
5. express mathematical information in table, graphical,
formulaic, and written
formats (III,
VI, 2, 3);
6. apply a working knowledge of mathematical applications
relevant to such fields of
study as
Drafting, Allied Health and to such programs as Radiation Therapy, Ultrasound,
and
Med Lab Tech (III, IV, 3, 4, 6);
7. analyze data and determine an appropriate mathematical
function that
describes the data (II,
VI, 2, 3)
8. apply appropriate mathematical theories, dependent upon
the nature of the
specific data, to
make informed decisions (I, III, VI, 1);
9. apply appropriate technology to the solution of
mathematical problems (IV, 4, 5);
10. identify efficient and inefficient methods for problem
solving (VI, 3);
11. utilize the Internet and other resources to research
course-related topics (I, IV, VI,
3, 4);
12. construct a solution to real world problems using
problem solving methods
individually
and in groups (II, III, V, VI, 2, 3, 7);
13. examine the mathematical contributions made by people
from diverse cultures
throughout
history (V, 5).
14. articulate a solution to mathematical problems (II,
2).
MAJOR TOPICS
1. Review
A. Arithmetic operations on algebraic expressions
B. Scientific notation
C. Ratio and Proportion
D. Formula evaluation
E. Rewriting application formulas in terms of any variable
F. Evaluating application formulas for a given variable
G. Factoring simple trinomials
H. Laws of Exponents
I. Linear Equations – slope , intercept
2. Basic Algebraic Operations
A. Significant digits
B. Converting measurements from one unit to another
C. Solving word problems using direct and inverse variation
3. Functions and graphs
A. Linear functions, quadratic functions, and tables of data
B. Representations of a function (e.g., table, graph, formula)
4. Solve equations
A. 2x2 systems of linear equations and applications
B. Solving quadratic equations by factoring
C. Other methods for solving quadratic formula
5. Trigonometric functions
A. Six trigonometric functions of any angle given in degrees or radians
B. Solving right triangles and word problem applications thereof
C. Linear velocity, arc length, and sector area application word problems
D. Law of sines and cosines and solving application word problems
E. Vectors (algebraic and geometric) and application word problems
5. Exponential and logarithmic functions
A. Exponential function and exponential word problems (e.g., growth and
decay)
B. Logarithmic (common and natural) functions
C. Properties of logarithms and solving word problems
