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Syllabus for Algebra
Course Description
Algebra is the application of arithmetic to general expressions involving
unknown quantities extending the
operations with real numbers to polynomials and rational expressions. Equations
and equation solving are
introduced as well as graphical representation of data.
Introduction and prerequisites
Students of algebra will improve their skills in arithmetic and learn to apply
those skills to the manipulation
of symbolic expressions. It is helpful to have prior knowledge of:
* Fractions
* Decimals
* Representation of unknown quantities
* Manipulation of expressions involving unknown quantities
Course Objectives
Upon completion of this course, the student will be able to:
1. Operate with real numbers .
2. Use mathematical expressions involving exponents and radicals.
3. Operate with and factor polynomials .
4. Simplify and operate with radical expressions.
5. Solve equations and inequalities.
6. Simplify complex algebraic expressions often encountered in Calculus.
7. Represent data graphically.
Course Outcomes
Emphasis in this course will be on the concepts of representing data
symbolically and graphically.
Students will develop skills such as:
· Operating on algebraic and rational expressions
· Equation solving
· Graphing Materials Beginning Algebra with Applications (7^{th} edition), Aufman,
Barker, Lockwood
Graphing calculator (optional)
The instructor will use the TI84 (overhead version) …
students who choose to use
a calculator should consider one of the following …
TI83
TI84
TI86
Graph paper (optional)
General Information
Attendance
* Students are responsible for all material presented in class including
announcements about
course procedures. Tests, quizzes, and homework often include questions on
material presented
only in class, so performance on these indirectly reflects attendance.
Evaluation
· Examinations: there will be two tests and a final examination. Tests will
comprise 35%, and the
exam 30%, of the final grade. Test dates will be announced in class at least one
week in advance.
· Students should expect a quiz each session. These quizzes will comprise 20% of
the final grade.
· Quizzes will reflect attendance so no provision will be made for makeup.
· The lowest quiz grade will be dropped for students with perfect attendance.
· In cases of necessary absence, additional assignments, quizzes, and tests may
be required.
· Another 11% of the final grade will be based on homework.
· Another 4% of the final grade will reflect participation by attendance. This
portion will be reduced
by 2% for the first absence, and an additional 2% for the second absence.
· All tests and homework must be completed in order to complete the course,
regardless of lateness.
Unexcused late course work will lose 10% of point value for each week it is
late.
· Arrangements for excused late work must be made and approved in advance.
· Bonus points: many quizzes and tests will contain opportunities for bonus
points. Students who
have missed more than one class session will not be awarded bonus points.
· Course grades will be assigned as follows:
A: 96%  100% A: 90%  95% B+: 87% 
89%
B: 83%  86% B: 80%  82% C+: 77%  79%
C: 73%  76% C: 70%  72% D+: 67%  69%
D: 63%  66% D: 60%  62% F: 0%  59%
Notes on homework
Selected exercises will be assigned from the textbook. Students are
encouraged to work together and to
complete all exercises on time for evaluation. A portion of each workshop will
be used to discuss
homework.
Preassignment (to be completed prior to first
workshop)
1 Read Chapters 1 and 2
2 Complete these exercises:
Chapter 1: Section 1.1, 25 37 odd Section 1.2, every other odd from 5 to 109
Section 1.3,
every other odd from 3 to 99 Section 1.4, every other odd from 3 to 55
Chapter 2: Section 2.1, 67 75 odd Section 2.2, 31, 37, 43 … from 31 to 145
Section 2.3,
every other odd from 63 to 101
Workshop One
Students will learn the properties of real numbers and how to operate with
integers, fractions, and
decimals:
1. Distribute and discuss syllabus.
2. Review of course and required materials.
3. Lecture: Chapters 1 and 2
a. Operations with integers
b. Operations with fractions , decimals, and percent
c. Exponents and Order of Operations
4. Applications
Minimum assignment in preparation for workshop two
1 Read Chapter 3, sections 3.1 and 3.2
2 Complete these exercises:
Chapter 3: Sec. 3.1
odd 31  57
odd 91 111
141, 145, 177,181, 198
Sec. 32 21, 27, 33, 39, … , 141
Workshop Two
Students will learn to use the properties of algebra to write and solve
equations for various
problem situations:
1. Lecture: Chapter 3, sections 3.1 and 3.2
a. solutions to equations of the form x + a = b and ax = b
b. solutions to equations of the form ax + b = c and ax + b = cx + d
c. applications
2. Discussion of assignment from workshop one
Minimum assignment in preparation for workshop three
1. Read section 3.3.
2. Complete these exercises: Chapter 3: Sec. 3.3 odd 3 – 51, 113  121
Workshop Three
Activities
Students will learn to solve inequalities, plot points, and determine linear
equations from given
conditions:
1. Test one: Chapters 1 through 3.2
2. Lecture: Section 3.3
a. transformations resulting in equivalent inequalities
3. Lecture: Chapter 5
a. Plotting points
b. Graphs of equations: y = mx + b and Ax + By = C
c. Slope
d. Equations from given information
e. Functions and inequalities
4. Discussion of assignment from workshop two
Minimum assignment in preparation for workshop four
1. Read Chapter 7.
2. Complete these exercises:
Chapter 5: Sec. 5.1 odd 3 – 21 Sec. 5.2 1, 7, 15, 17, 27, 31, 33, 47, 53, 61, 67
81, 83, 95
Sec. 5.3 3, 7, 9, 19, 33, 37, 41, 45 Sec. 5.4 1, 5, 11, 17, 21, 25, 29 Sec. 5.5
9, 11,
13, 17, 27, 29, 39, 43, 57, 61 Sec. 5.6 3, 5, 9
Workshop Four
1. Discussion of assignment from workshop three
2. Lecture: Chapter 7, sections 1 to 3
a. definition of a polynomial
b. operations with polynomials
3. Applications
Minimum assignment in preparation for workshop five
1 Read Chapter 7, sections 4 and 5
2 Complete these exercises:
Chapter 7: Sec. 7.1 1, 7, 13, 19, … , 55 Sec. 7.2 3, 9, 15, 21, … , 87 Sec. 7.3
7, 13, 19, 25,
… , 97
Workshop Five
Activities
Students will learn the laws of exponents , scientific notation, and synthetic
division:
1. Lecture: 7.4
a. laws of exponents
b. scientific notation
2. Lecture: 7.5
a. division of polynomials
b. synthetic division
3. Discussion of assignment from workshop four
Minimum assignment in preparation for workshop six
1 Read Chapter 8, sections 1 through 4
2 Complete these exercises:
Chapter 7: Sec. 7.4 11, 17, 23, 29, 35… 107 Sec. 7.5 1, 7, 13, 19… 49
Workshop Six
Activities Students will learn to factor all forms of quadratic polynomials:
1. Test two: Chapters 3 to 7
2. Lecture: Chapter 8, sections 1 to 4
· factoring common factors , grouping
· factoring trinomials
· special product forms
· factoring completely
3. Discussion of assignment from workshop five
Minimum assignment in preparation for workshop seven
1 Read Chapter 8, section 8.5 and Chapter 10
2 Complete these exercises;
Chapter 8: Sec. 8.1 21, 27, 33, 39, … , 111 Sec. 8.2 7, 13, 19, 25, … , 103 Sec.
8.3 1,
7,13,19, … , 109 Sec. 8.4 13, 19, 25, 31, … , 115
Workshop Seven
Activities
Students will learn to use factoring to solve quadratic equations; and
properties of radicals
1. Lecture: section 8.5
a. use of the zero factor property to solve quadratic equations
2. Lecture: Chapter 10
a. simplifying radical expressions
b. combining radical expressions
c. solving equations containing radicals
3. Discussion of assignment from workshop six
Minimum assignment in preparation for workshop eight
1. Read and study supplementary material in preparation for exam
Workshop Eight
Activities
1. Discussion, instruction, and review based on all previous assignments.
2. Course evaluation.
3. Final examination.
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