STRAYER UNIVERSITY
Introduction to College mathematics—MAT105
Spring 2006
Prerequisite: MAT 100
Course Syllabus
Quarter: Spring
2006
Day
& time course meets: Tuesdays, 6:15–10:00 pm
Instructor:
Tristan
Hubsch
Instructor
phone number: (703) 798-3622 (cell)
Instructor
email address: thubsch@mac.com
(pref.), thubsch@strayer.edu
Instructor
office hours, office location: by e-mail (pref.)
by
appointment: Tues. & Thurs., Faculty office
Academic
office phone number: 703-330-8474 (voice), 703-330-8417
(fax)
This course is intended to serve as an extension of fundamental
mathematics. Emphasis will be on representations and operations on polynomials
and rational expressions. Algebraic and graphical methods of solving linear and
quadratic equations will be discussed. The course will end by a brief
introduction to complex numbers, radical expressions, and conical sections.
Upon
the successful completion of this course, the student will be able to:
a. Solve (graphically
and algebraically) linear equations
b. Understand the
concept of a function and a graph
c. Solve systems of
equations
d. Perform arithmetic
operations on polynomial expressions
e. Perform arithmetic
operations on radicals and rational expressions
f. Understand complex
numbers
g. Solve polynomial
(in particular quadratic) equations
h.
Solve basic
geometry problems, including conic sections
i. Perform the
operations on exponential and logarithmic functions
j. Build a firm
foundation for more advanced algebra courses and calculus
k. Identify and
describe informational resources within the mathematical field
The
course instructor will provide additional learning outcomes.
+ Introduction to College Mathematics (Customized),
Pearson Addison Wesley, 2005.
+ Optional learning tool, but highly recommended:
MyMathLab, Intermediate
Algebra 9/e, through http://student.pearsoned.com.
+ A scientific calculator will be required.
MyMathLab is customizable text-specific
online math tutorial software to help you succeed in their math courses.
MyMathLab provides multimedia instruction, unlimited practice exercises,
self-paced learning modules, online homework and testing, and an individual
study plan – all correlated to the examples and exercises in your
textbook. MyMathLab is delivered inside a web-based course delivery system
called CourseCompass.
Before accessing MyMathLab, you need to register in CourseCampass using student
access code and the MyMathLab Course ID provided by your instructor.
+ To find the detailed system requirement,
go to www.mymathlab.com/system.html
+ To register or log into MyMathLab , go to
http://student.pearsoned.com
+ For more information about MyMathLab, go
to http://www.mymathlab.com
+ To sign up for free math tutoring at AW
Tutor Center, you may call 1-888-777-0463
(5 pm – 12 am EST) or register at www.aw.com/tutorcenter
using your
CourseCompass Course ID or student access code.
Note: AOL users cannot access MyMathLab using
AOL browser. However, you can log in to AOL, minimize the AOL browser, and then
launch Internet Explorer (or any supported browser) separately to access
MyMathLab
Each lecture period will start by the instructor providing the solutions to the homework problems assigned at the previous session. The instructor shall then give a detailed discussion of a new mathematical theory, along with solved examples and real-life applications. Based on the pace of instruction, cooperative and individual learning sessions will be incorporated in the learning process in this class.
04/04/06: Chapter R: Review of Basic
Algebra
Chapter 1: Solving Linear Equations and Inequalities
04/11/06: Chapter 2: Graphs, Functions,
and Applications
04/18/06: Chapter 3: Systems of
Equations
04/25/06: Chapter 4: Polynomials and
Polynomial Functions
05/02/06: Midterm Exam (Chapters
1–4)
05/09/06: Chapter 5: Rational
Expressions, Equations, and Functions
05/16/06: Chapter 6: Radical Expressions,
Equations, and Functions
05/23/06: Chapter 7: Quadratic
Equations and Functions
05/30/06: Chapter 8: Introduction to
Geometry, including Conic Sections
06/06/06: Chapter 9: Exponential and
Logarithmic Functions
06/13/06: Final Exam (Comprehensive:
Chapters 1–9)
At the end of the first week the students
should complete the review of
+
Operations with real numbers
+
Order of operations
+
Exponential and scientific notations
+
Simplification of algebraic expressions
At the end of the first week the students
should be able to
+
Solve equations
+
Solve application problems
+
Solve inequalities and absolute-value equations
At the end of the second week the
students should be able to
+
Understand the functions and graph of equations
+
Find domain, range, slope of a linear function
+
Find equations of lines with applications
At the end of the third week the students
should be able to
+
Solve systems of equation in two variables by substitution
+
Solve systems of equation in two variables by elimination
+
Solve appliaction problems
+
Solve systems of equations in three variables
+
Solve business and economics applications using systems of equations
At the end of the fourth week the
students should be able to
+
Evaluate polynomial functions
+
Add, subtract, multiply polynomials
+
Factor trinomials
+
Solve equations by factoring
+
Solve applications of polynomial equations and functions
At the end of the sixth week the students
should be able to
+
Simplify, multiply, and divide rational expressions
+
Add and subtract rational expressions
+
Simplify complex rational expressions
+
Solve Rational Equations
+
Use proportion to solve application problems
At the end of the seventh week the
students should be able to
+
Understand radical expressions and functions
+
Simplify radical expressions
+
Add, subtract, multiply, and divide radical expressions
+
Solving radical equations
+
Solving applications involving powers and roots
+
Understand complex numbers
At the end of the eighth week the
students should be able to
+
Understand the quadratic formula
+
Solve quadratic equations with the quadratic formula
+
Solve applications involving quadratic formula
+
Graph quadratic equations
At the end of the ninth week the students
should be able to
+
Use and convert linear measurements
+
Find the perimeter and area of a square, rectangle, parallelogram,
trapezoid, and triangle
+
Find the circumference and the area of a circle
+
Find volume and capacity of a box, cylinder, and sphere.
+
Use Pythagorean Theorem to solve application problems
+
Understand the characteristics of parabolas, circles, ellipses, and
hyperbola.
At the end of the tenth week the students
should be able to
+
Understand exponential, logarithmic functions
+
Understand inverse and composite functions
+
Understand logarithmic properties
+
Solve exponential and logarithmic equations
|
Final
Grade: |
Grading
Scale: |
||
|
Class participation |
10 % |
90 – 100 : |
A |
|
Homework Assignments |
20 % |
80 – 90 : |
B |
|
Midterm Exam |
30 % |
70 – 80 : |
C |
|
Final Exam |
40 % |
60 – 70 : |
D |
|
|
|
Below 60 : |
F |
Students are expected to attend all
regularly scheduled classes. Should absences be necessary, students are
responsible for the material covered during the absences. Faculty cannot grant
requests for excessive amounts of make-up material, and they may request
written documentation detailing the reason for the absences.
Excessive absences make it almost
impossible for a student to meet the academic objectives
of a course; they frequently cause a student to receive a lower grade, even
though, the absences were unavoidable.
Strayer University requires all faculty
to take attendance during each class period and to records it accurately on their permanent
roster. This data is available for verification of attendance by the
appropriate governmental agencies and educational accrediting organizations.
A student who is absent from four
consecutive class meetings, excluding holidays and emergency cancellation of
classes, will be withdrawn automatically from that course. A student will be
withdrawn automatically from a mini-session course when he/she misses two
consecutively scheduled class meetings.
Instructors have the
option of giving the grade of Incomplete ("I") only to a student
whose work in a course has been satisfactory, and the student, because of
illness or other circumstances beyond the student's control, has been unable to
complete some small part of the course work. The student must remove the
"I" grade by completing work assigned by the instructor. It is the responsibility
of the student to request and make arrangements with the instructor to complete
the work during the following quarter by the date specified. Otherwise the
"I' automatically becomes an administrative "F"
("F*"). An administrative "F" counts as a "0" in
determining the grade point average.
No student receiving an
"I" can be on the Honor Roll or the Dean's List for that quarter.
Please review the policy
and procedures covering academic dishonesty in the Strayer University Catalog.
Strayer University holds its students to
high standards of academic integrity and will not tolerate acts of
falsification, misrepresentation, or deception. Such acts of intellectual
dishonesty include, but are not limited to, cheating or copying, fabricating
data or citations, stealing examinations, using instructor editions of
textbooks without authorization, taking an exam for another, tampering with the
academic work of another student, submitting anotherÕs work as oneÕs own, using
academic credentials to gain admission, facilitating other studentsÕ acts of
academic dishonesty, using Internet sources without citation, or any other form
of plagiarism.
Please refer to the UniversityÕs academic
Integrity Policy in the student Handbook, available online at http://studentserver.strayer.edu
for specific discipline procedures followed in the event of violation.
Learning resources to help students
succeed academically are available through the Strayer University Library. Each
campus Learning Resources Center (LRC) offers print resources, books, and
periodicals for research. Circulating books located at any LRC may be requested
for use through the LRC Specialist.
Library resources are also available
online, and can be accessed from any computer connected to the Resource tab
located on eCollege course web pages. The online search tool EBSCO Host and
other LRC resources can be accessed through the universityÕs website at http://studentserver.strayer.edu/
CONT_STD/LIBS/libs2.html. They provide thousands of full text periodicals,
over 25,000 electronic books, radio and TV transcripts, the complete Encyclopedia
Britannica, access to the Strayer library catalog, online tutorials, and useful
links to Internet resources. A tour of the LRC is highly recommended and can be
scheduled through your LRC Specialist.
Tutoring is available for students in
introductory (and limited higher) level courses in accounting, computer
information systems, English and mathematics for which they are registered. Tutoring
is highly recommended at the first sign of academic difficulty. Appointment
or tutoring referrals are NOT
required in order to
attend scheduled campus tutoring sessions.