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# College Algebra - Applications

Teaching Method:
The class will be taught as a Lecturing Dialogue. Part of the class will be taught in a
typical lecture format. However, a dialogue will exist between the students and teacher.
The teacher will ask questions of the students, answer questions from the students, and
engage in discussions with the students.

Textbook:
Sullivan, College Algebra and Trigonometry: Enhanced with Graphing Utilities, 4th edition.
Upper Saddle River, NJ, Prentice -Hall.

Pyzdrowski, Interactive Computer Laboratories for College Algebra and Precalculus, Hayden
McNeil.

Butler, Math 126 & 129: College Algebra and Pre-Calculus Study Guide, Hayden McNeil.
(Recommended)

Prerequisites:
One of the following: 1) Minimum Math SAT of 510 or Math ACT of 22, 2) Satisfactory
WVU Math Placement Test Score, 3) Completion of Pre-College Algebra Workshop, or 4)
a grade of C or better in Math 22 from another college.

Technology:
Math 124 is a technology enhanced course requiring the following:
Graphing Utility: Grapher applet is provided for student use
Vista WebCT/E-Campus: Course management software used for assessment, Labs, and
Personal Response System (PRS): PRS used for active student participation in class.
A scientific calculator will be needed in class for simple calculations; a graphing calculator
such as the TI-83 is allowed but not required. CAS (Calculator Algebra System) calculators
are not allowed on Exams.
Derive 6: A computer algebra system used in Computer Labs to explore math.
Videos on Applications of Mathematics: How Mathematics is used in various occupations.

Course Objectives: The general goals of the College Algebra – Applications course are:
Applications: Use math to model and solve real world problems.
Conceptual Understanding: Explore and understand central concepts in algebra, rather than
just rote memorization of algorithms.
Algebraic Skills: Develop proficiency in manipulating algebraic expressions and solving
algebraic equations and inequalities.
Problem Solving: Gain experience as a problem solver, to use a heuristic to analyze
problems in an organized manner.
Multiple Approaches: To Examine problems from analytical geometric and numeric
perspectives, to make decisions about the appropriateness of the choice of formal or
approximate methods of solution.
Technology as a Tool: Use technology as an integral part of the process of formulation,
solution, and communication, to gain experience in selecting the proper tool for a given
problem.
Active Student Learning: To engage in the exploration and discovery of concepts and to
learn to work cooperatively to solve problems.
Communication of Ideas: To demonstrate understanding, by explaining in written or oral
form the meanings and applications of concepts.
History of Mathematics: To learn about mathematics as a human endeavor.

The specific goals of the college algebra course will be to stress an algebraic, graphic, and numeric
approach to the study of:
• the concept of function and using functions as models.
• modeling techniques used in solving real world problems.
• solving equations and inequalities in one variable.
• polynomial, rational, radical, absolute value, exponential, logarithmic functions.

Evaluation: Multiple forms of assessment will be used to measure your understanding of algebra, concepts,
skills, and modeling. The distribution of these assessments is:

 Assessment Number Points Percent of Grade 1 Participation 43 100 10% 2 Quizzes 6 100 10% 3 Labs 8 200 20% 4 Tests 4 400 40% 5 Comprehensive Final 1 200 20% TOTAL 1000 100%

 90% – 100% A 80% – 89% B 70% – 79% C 60% – 69% D 0% – 59% F

Participation and Attendance: Attending and participating in class and Labs is critical to being successful
in the course. Statistics from previous semesters indicate that students with less than 3 absences earn a
letter grade higher than those with 3 or more absences. Participation activities cannot be made up later, if
you miss class for any reason you lose those points! Attendance will be taken for all class and Lab sessions.
The 100 points for participation are calculated from accumulated total points from Class and Lab
Participation. ALL missed classes will be treated the same, REGARDLESS of the reason.

Supplemental Instruction: Supplemental Sessions will be held on Wednesdays during the normal class
time, in the normal classroom. These Sessions are designed for students to get more practice doing actual
problems, since time is limited during the actual class periods and we will not be able to do as many
examples as desired. The Supplemental Sessions may include doing worksheets, question-and-answer
sessions, or a model-and-practice format. Students can earn one extra point for every Supplemental Session
attended. These points are applied ONLY towards the Participation Points, not exceeding 100 points.
Therefore, missed classes can be partially “Made Up” by attending (and fully participating in) Supplemental
Sessions.

Homework Assignments for College Algebra

 Section Name Problems R.1 Real Numbers 1, 9, 11, 13, 15, 27, 29, 33, 35, 39, 45, 47, 53, 63, 69, 71, 75 R.2 Algebra Review 4, 11, 15, 23, 24, 31, 37, 41, 45, 47, 49, 57, 59, 61, 65, 73, 74, 75, 76, 77, 87, 89 R.3 Geometry Review 7, 17, 21, 23, 25, 27, 33, 35 R.4 Polynomials 7, 9, 17, 21, 29, 31, 34, 39, 47, 55, 69, 93, 97 R.5 Factoring Polynomials 5, 13, 17, 25, 33, 39, 45, 51, 57, 61, 65, 85, 91, 95, 105, 107, 121 R.6 Synthetic Division 5, 9, 17 R.7 Rational Expressions 5, 13, 19, 25, 31, 47, 53, 63, 73 R.8 nth Roots; Rational Exponents 1, 2, 7, 15, 17, 21, 23, 31, 43, 47, 55, 63, 71, 75 1.1 Rectangular Coordinates; Graphing Utilities 5, 7, 9, 13, 33, 39, 49, 57, 64, 75, 77, 79, 83, 95, 105 1.2 Solving Equations Using Graphing Utilities 77, 41, 43, 45, 51, 53, 55, 61, 71, 89, 95, 99, 101, 105, 107, 109 1.3 Quadratic Equations 5, 6, 13, 15, 17, 25, 35, 37, 39, 43, 47, 49, 61, 69, 73, 75, 85, 87, 93 1.4 Complex Numbers 9, 13, 19, 26, 27, 31, 33, 35, 49, 51, 53, 59, 73, 79 1.5 Radical Equations 13, 17, 25, 29, 35, 39, 59, 65, 71, 81, 83, 100, 103, 107 1.7 Solving Inequalities 11, 13, 14, 25, 29, 33, 37, 51, 53, 65, 73, 77, 83, 89, 91, 95, 97, 107, 109 1.8 Lines 9, 13, 23, 25, 27, 37, 39, 41, 53, 59, 71, 77, 79, 91, 111, 115 1.9 Circles 4, 7, 9, 15, 21, 25, 29, 33, 35, 37 2.1 Symmetry; Graph Key Equations 7, 13, 17, 25, 27, 31, 37, 39, 43, 49 2.2 Functions 15, 19, 27, 33, 39, 41, 53, 57, 55, 61, 65, 73, 75, 89, 98 2.3 The Graph of a Function 9, 13, 15, 23, 25, 37 2.4 Properties of Functions 11, 13, 15, 17, 19, 21, 29, 33, 53, 63, 64 2.6 Library of Function; Piecewise 9, 10, 11, 12, 13, 14, 15, 16, 25, 29, 35, 41, 43 2.7 Graphing Techniques: Transformations 7, 9, 11, 13, 15, 17, 19, 27, 31, 41, 59, 65 2.8 Mathematical Models 3, 7, 8, 9, 11, 13, 14 ,15, 29, 31 3.1 Quadratic Functions and Models 11, 13, 15, 17, 27, 45, 51, 53, 59, 71, 79, 81, 85 3.2 Polynomial Functions 11, 15, 23, 25, 32, 37, 43, 55, 65, 75 79, 91 3.3 Properties of Rational Functions 13, 23, 25, 31, 41, 45, 49 3.4 Graph of Rational Function 7, 15, 27, 33, 35, 51, 61 3.6 Real Zeroes of Polynomial Function 11, 13, 21, 27, 39, 43, 63, 73 3.7 Complex Zeroes 7, 9, 17, 23, 33 4.1 Composite Functions 7, 9, 11, 19, 47, 53, 69, 63 4.2 One-to-One Functions; Inverse Functions 11, 15, 19, 21, 33, 41, 50, 63, 65, 80 4.3 Exponential Functions 15, 21, 23, 25, 27, 29, 31, 33, 35, 39, 45, 53, 63, 67, 71, 77, 101 4.4 Logarithmic Functions 15, 19, 23, 31, 39, 45, 61, 67-74, 77, 85, 89, 91, 101, 111 4.5 Properties of Logarithms 2, 13, 15, 23, 27, 41, 49, 51, 53, 61, 63, 65, 69, 75, 76, 83 4.6 Logarithmic and Exponential Functions 7, 11, 15, 19, 23, 27, 31, 45 4.7 Compound Interest 7, 15, 29, 31, 35, 39, 49 4.8 Exponential Growth and Decay 1, 3, 7, 9,11 5.1 Systems of Linear Equations 7, 11, 19, 23, 25, 29, 41, 55 5.2 Systems of Linear Equations: Matrices 5, 11, 17, 39, 41, 51

Tentative Schedule

 Date Section Assignments Due Monday, August 20 Pre-Requisite Check, Syllabus Distribution, R.1 – R.2 Tuesday, August 21 Placement Test Friday, August 24 R.3 – R.5, R.7 Monday, August 27 R.8, 1.1 – 1.2 Tuesday, August 28 Attitude Assessment, Survey Friday, August 31 1.3 Monday, September 3 Labor Day – No Classes Quiz Release, Quiz 1 Tuesday, September 4 Lab 1: Intro to Basic Graphs Friday, September 7 1.5 Monday, September 10 Review Quiz 2 Tuesday, September 11 Test 1 Friday, September 14 1.7 Monday, September 17 1.8 – 1.9 Tuesday, September 18 Lab 2: Graphing Techniques Friday, September 21 2.1 Monday, September 24 2.2 – 2.3 Tuesday, September 25 Lab 3: The Box Friday, September 28 2.4 Monday, October 1 Review Quiz 3 Tuesday, October 2 Test 2 Friday, October 5 2.6 Monday, October 8 2.7 Tuesday, October 9 Lab 4: Quadratic Functions Friday, October 12 4.1, 2.8 Monday, October 15 3.1 – 3.2 Tuesday, October 16 Lab 5: Polynomial Functions Friday, October 19 1.4, R.6 Monday, October 22 Review Quiz 4 Tuesday, October 23 Test 3 Friday, October 26 3.3 – 3.4 Monday, October 29 3.6 – 3.7 Tuesday, October 30 Lab 6: Rational Functions Friday, November 2 4.2 Monday, November 5 4.3 – 4.4 Tuesday, November 6 Lab 7: Exponential Functions Friday, November 9 4.5 Monday, November 12 Review Tuesday, November 13 Test 4 Friday, November 16 4.6 – 4.7 Monday, November 19 Thanksgiving Break – No Classes Quiz 5 Tuesday, November 20 Thanksgiving Break – No Classes Friday, November 23 Thanksgiving Break – No Classes Monday, November 26 4.8 Tuesday, November 27 Lab 8: Logarithmic Functions Friday, November 30 5.1 – 5.2 Monday, December 3 Review Tuesday, December 4 Make-Up Tests Friday, December 7 Review Quiz 6 Tuesday, December 11 Final Exam