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Required Text:
Aufmann, Richard N, Barker, V.C., and Nation, R.D., College Algebra. (5th ed.). Boston, MA: Houghton Mifflin Company.
Supplemental Material:
1. Jack R. Hunt Library on-line resources: http://erau.blackboard.com (and library databases and periodic indexes link).
2. World Wide Web Sites:
http://www.interdigm.com/mwarner/MA140/ (class bulletin board)
http://www.comlab.ox.ac.uk/oucl/users/jonathan.bowen/algebra/algebra.html
http://math.psu.edu/dna/graphics.html
http://www.mathsoft.com
http://www.sisweb.com/math/tables.htm
http://www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html
http://www.geom.umn.edu/apps/gallery/html
3. Scientific calculator
Student Resources:
Resident Center Riddle Aviation Collection (RAC). Available at the Resident Center.
Extended Campus Videotape Library. Available at the Resident Center.
Guide to Library Resources (Area Libraries). Available at the Resident Center.
Extended Campus Student Handbook: [On-line]. Available: http://www.ec.erau.edu/cce/faculty/studhndbk.shtml
Resident Center computer(s) for academic support. Available at the Resident Center.
Rosado, A., Dammier, E., Clark, R., & Rosenhammer, F. (Eds.). (2001). Guide to the graduate research project. Daytona Beach, FL: ERAU.
American Psychological Association. (2001). Publication manual of the American Psychological Association (5th ed.). Washington, DC: Author.
Course Description:
This course focuses on fundamentals of exponents, radicals, linear, quadratic and absolute value equations, inequalities, and complex numbers. An introduction to functions, curve sketching, elementary theory of equations, sequences and series, matrix algebra and systems of equations will be provided. Prerequisite: Two-years of High School Algebra, or ERAU Placement Exam, or MATH-106.
Goals:
This course is required in the Aircraft Engineering Technology Program and the Aviation Maintenance Technology Program. It is designed to provide students with mathematical skills to support further work in calculus as required in Aviation Computer Science, Aerospace Engineering, Electrical Engineering, Engineering Physics, Aircraft Engineering Technology, and Avionics degree programs.
Learning Outcomes:
Upon course completion, students will be able to:
1. Demonstrate proficiency with the use of on-line research resources of ERAU's Hunt Library, to include both an orientation to the Hunt Library on-line collection, and the ability to retrieve course-specific reference and research materials from the Hunt Library web databases and periodical indexes.
2. Demonstrate an increase in computing, critical thinking, critical thinking, decision-making, information retrieval, speaking and writing skills in this course, as mutually agreed upon by the student and instructor.
3. Use basic properties of fractional and integer exponents and radicals to simplify algebraic expressions.
4. Expand and factor polynomial expressions.
5. Simplify and perform arithmetic operations on algebraic fractions.
6. Solve linear, quadratic, and factored polynomial equations.
7. Use substitution and elimination methods to solve linear systems in two and three variables.
8. Solve linear and factorable algebraic inequalities.
9. Calculate slopes, determine the equation of any line, and graph the line determined by any linear function.
10. Determine the domain and range of elementary functions, including graphically-defined functions.
11. Graph linear and quadratic functions.
12. Recognize and evaluate composite functions and calculate and verify inverses of functions.
13. Set up and solve elementary applied problems that lead to linear or quadratic equations.
14. Perform arithmetic operations with complex numbers.
15. Identify and graph conics.
16. Solve inverse and direct variation problems.
Grading:
The course grade will be determined from the results obtained from four area content quizzes, a student report and presentation of an instructor approved research paper, assigned in-class/homework, participation, and a final exam using the following weights:
| Area | Grade Points | Grade Scale |
|---|---|---|
| Class participation and Involvement | 10 PTS | 10% |
| Quizz | 40 PTS | 40% |
| Individual Research Report/Presentation | 15 PTS | 15% |
| In-Class/Homework Assignments | 10 PTS | 10% |
| Final Exam | 25 PTS | 25% |
| Total: | 100 PTS | 100% |
| Grade Points | Grade | Percentages |
|---|---|---|
| 90-100 PTS | A (Superior) | 90-100% | 80-89 PTS | B (Above Average) | 80-89% | 70-79 PTS | C (Average) | 70-79% | 60-69 PTS | D (Below Average) | 60-69% | 00-59 PTS | F (Failure) | 59-00% |
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Teaching Methods:
Class meetings will be comprised of lectures and discussions of assigned material, sample solutions to representative problems, board work, graphing calculator and computer lab demonstrations, and testing for understanding. Class participation is expected with emphasis on aviation related applications.
Class Policy:
Assignments: Assignments contained herein, and as augmented at instructor's discretion, will be completed prior to the next scheduled class session or as assigned and will not be accepted beyond that date without prior instructor approval. Assignments constitute minimum coverage of the required lessons and the student is encouraged to complete additional study/research of related material to promote mastery of the objectives. Course content may vary from this syllabus to meet the needs of this particular class composition.
Guidelines for Project:
The Individual Research Report and presentation topic will be selected by mutual agreement between the student and instructor by the third week of class. A report outline (in bullet format) will be submitted, preferably by email, to the instructor by the sixth week of class. A rough draft of the report will be due by the end of week seven of the class. The ten minute oral presentation will be delivered to the class during the eighth/ninth week and the written report will by due following the presentation. The report should be four to six pages in length, double space typed, with a minimum of three references of which no more than two shall be online sources. The style shall conform to ERAU's Guige to the Graduate Research Project (2001), formatting.
Make-Up of Classes/Examinations: The faculty of Embry-Riddle Aeronautical University affirms the importance of prompt and regular attendance on the part of all students. Quality instruction clearly depends upon active student participation in the classroom or its equivalent learning environment. Your participation is particularly important in this course, since each class constitutes a significant percentage of the total course. All absences, regardless of reason, require a make-up assignment, mutually arranged between the instructor and the student. If an absence is anticipated, the student should notify the instructor, preferably in advance. Students are encouraged to assist each other with access to class notes for missed classes.
Academic Honesty And Integrity: Academic honesty is the expected mode of behavior. All honesty violations will be treated seriously as prescribed by the University.Plagiarism is perhaps the most common and misunderstood form of academic dishonesty. It involves the taking of ideas, writings, etc. from another and passing them off as one's own. Plagiarism includes the use of any source to complete academic assignments without proper acknowledgment of the source.
Proprietary Information: While the UniversityÕs teaching/learning model emphasizes the sharing of professional experiences in the context of analyzing relevant course materials, it is against the policy of Embry-Riddle Aeronautical University for students and/or faculty members to share information about present or past employers that would be considered to be "proprietary," "confidential," "company sensitive," or "trade secret."
Harassment and Unethical Behavior: All employees and students have a right to an environment free of discrimination, including freedom from sexual harassment. It is the policy of Embry-Riddle Aeronautical University that no employee or student may sexually harass another. The intent of this policy is not to create a climate of discomfort but to foster responsible behavior in an academic and working environment free of discrimination. The University sexual harassment policy can be found in ERAU Administrative Policies and Procedures Manual (APPM) section 8.3.4 at http://www.db.erau.edu/appm/policy/8-3-4.html
Student Preparation and Participation: As a MINIMUM, all students are EXPECTED to have READ and thought about the information provided in the assigned chapters BEFORE class commences! This is a professional responsibility to yourself and your classmates. Active participation in class discussions is an important element of a collegiate program; it is evaluated by instructors and is reflected in the assignment of course grades. Participation includes the quantity and quality of comments and class discussions, lively fellowship, positive contributions to group assignments, ability to respond to questions by classmates and the instructor and ability to work as a member of a group. Students are expected to synthesize, analyze and integrate all reading assignments. It is obvious that consistent attendance and being on time is an essential ingredient of participation.
Computing, Critical Thinking, Decision-Making, Information Retrieval, Speaking and Writing Across the Curriculum
In addition to the specific content of this course, there will be a concentration on the development of the studentsÕ computing, critical thinking, speaking and writing skills:
(1) Computing: Students will be expected to use computer technology in this course. Use of word-processing to compose and edit course papers, PowerPoint or HTML to make class presentations, and E-mail to communicate with other students and the instructor is the recommended class standard. Students should be familiar with the current version of Blackboard, navigating through and interacting with posted course materials, and the use of student email, on-line library databases, and other tools available through the site.
(2) Critical Thinking: Students will be encouraged to form their own opinions and analysis of the relevant course topics and information. Throughout the course, they will be encouraged to use clear, logical thinking. The ability to analyze situations using sound, scientific reasoning will be emphasized,
(3) Decision-Making: Empoyers of ERAU graduates stress that decision-making is one of the most valued attributes of employees and associates they wish to hire. Being able to quickly assess a situation, examine all possible alternatives, then decide on the best course of action is truely a learned skill and behavior valued by industry.
<4> Information Retrieval: The ability to quickly and accurately locate information to aid critical thinking and decision making activities is enhanced by today's digital, easy to access world database. This skill also involves the knowledge and use of retrieval instruments such as WWW browsers, search engines, and CD-ROM library archives.
(5) Speaking: Students will be expected throughout this course to express themselves orally. Their opinions will always be sought on a voluntary basis. Each student will have an opportunity to make presentations in the course, and
(6) Writing: Graduate reports are to be written in ERAU Graduate Research
Project (GRP) format and style, using the GRP Guidelines and the American Psychological Association (APA) format. Undergraduate reports are to be written in the style and format of the American Psychological Association Publication Manual (2001), with citations in the text and a reference list. Development of writing skills is considered an essential element of this course.
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| WEEK/ SESSION | DATES | TOPIC(S) | ASSIGNMENT(S) |
|---|---|---|---|
| 1 | TBA | Introduction/Syllabus Overview Class Discussion: Overview of Preliminary Cencepts | Read Syllabus Read/Review Text Sections P.1-P.6, Problems as assigned |
| 2 | TBA | Class Discussion: Equations and Inequalities, Quiz #1 | Read/Review Text Sections 1.1-1.6, Problems as assigned |
| 3 | TBA | Class Discussion: Functions and Graphs | Read/Review Text Sections 2.1-2.7, Problems as assigned, Individual Research Topic Selection due |
| 4 | TBA | Class Discussion: Polynomials and Rational Functions, Quiz #2 | Read/Review Text Sections 3.1-3.5, Problems as assigned |
| 5 | TBA | Class Discussion: Exponential Functions | Read/Review Text Sections 4.1-4.2 Problems as assigned |
| 6 | TBA | Class Discussion: Topics in Analytic Geometry, Quiz #3 | Read/Review Text Sections 5.1-5.3, Problems as assigned, Individual Research Project outline due |
| 7 | TBA | Class Discussion: Systems of Equations | Read/Review Text Section 6.1-6.3, Problems as assigned, Individual Research Project rough draft due |
| 8 | TBA | Class Discussion: Systems of Equation continued, Quiz #4 | Read/Review Text Section 6.4-6.6, Problems as assigned |
| 9 | TBA | Project Presentations and Final Exam | Research Project/Presentation due, Final Exam |
For questions contact Instructor: E-mail.
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