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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
grade book.
• 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% |
Grading Scale:
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 |