Course Title:
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Course Materials:
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Aufmann, R. N., Barker, V. C., & Nation, R. D. (2008). College algebra and trigonometry (6th ed.). Boston: Houghton Mifflin Company.
Scientific Calculator required.
An Equation Editor DE required only. | |
Course Description:
| MATH 107 College Algebra (3) (The first course in the two-course series MATH 107-108. An alternative to MATH 115 Pre-Calculus.) Prerequisites: MATH 012, or an appropriate result on the placement test. An introduction to equations, inequalities, and absolute values and a study of functions and their properties, including the development of graphing skills with polynomial, rational, exponential, and logarithmic functions. Applications are also covered. Students may receive credit for only one of the following courses: MATH 107 or MATH 115. | |
Course Goals/Objectives:
Upon successful completion of this course, minimal objectives the student has achieved include the following:
* Simplify rational expressions and expressions containing absolute value.
* Solve and graph linear, quadratic, polynomial, absolute value, radical and rational equations and inequalities.
* Factor and solve nonquadratic expressions and equations using quadratic techniques.
* Add, subtract, multiply, divide, and simplify complex numbers; and solve equations involving complex numbers.
* Graph functions including their translations, and state properties of graphs.
* Perform function operations including the difference quotient, composition, and inverses.
* Determine asymptotes and graph rational functions.
* Identify logarithms, manipulate and calculate them algebraically.
* Use a scientific calculator to determine logarithmic and exponential problem solutions.
* Graph exponential and logarithmic functions and use the properties of logarithms to solve equations.
* Apply these techniques to practical problems drawn from fields such as mathematics, business, and the social, life, and physical sciences.
Additional objectives may include:
* Use polynomial division and various theorems to find the zeros of a polynomial and then graph. | |
Course Introduction:
The purpose of MATH 107 is the development of mathematical skills required in all fields of study. Math 107 emphasizes applications of these skills to practical problems. This course continues the development of algebra skills begun in Math 009 and 012, providing grounding in the function concept, to include polynomial and rational functions, as well as exponential and logarithmic functions.
MATH 107 is the first half of a pre-calculus sequence, stressing problem-solving rather than theorem-proving methods. This course provides foundations for lifelong skills in quantitative reasoning. | |
Grading Information and Criteria:
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There will be three 75-minute exams each worth 15% of the final grade and a comprehensive final exam that is worth 40% of the final grade. The remaining 15% of the final course grade will be comprised of optional projects, quizzes, and/or homework assignments.
Assessment Item as a percentage of final grade
Exam 1 15%
Exam 2 15%
Exam 3 15%
Projects/Quizzes/Homework Assignments 15%
Final Exam 40%
Grades will be determined by the percentage you have earned as follows:
Grade
A = 90-100%
B = 80-89.9%
C = 70-79.9%
D = 60-69.9%
F = less than 60%
NOTE: Faculty may edit this model. Participation as a component is advisable for online classes and may be incorporated in f2f classes. If the faculty wishes to incorporate participation as part of the course grade, then the above percentages will change. Assignment of projects is optional. | |
Other Information:
* Study time (including reading and exercises) can be expected to be 2 to 3 times the amount of lecture time. That is, for every hour in class expect to spend 2 to 3 hours out of class studying.
* Students who fall behind or fail to attempt the exercises could well find themselves in difficulty. Try to incorporate the skills and methods learned in this course in everyday life. It is the best way to learn.
* Attendance: It will be to the student's advantage to attend all classes. When absence is unavoidable, it is a student's own responsibility to makeup any work missed before the next class session. For administrative purposes, attendance will be recorded. Students expecting or experiencing long absences during the term should contact the faculty.
* Class Discussions: Students are encouraged (indeed, expected) to participate. Ask questions.
* Homework assignments will be given for each class session. You are responsible for solving all problems assigned. Completing all the homework problems should help you prepare for the exams. If there are any problems that you found difficult or were unable to solve, be prepared to ask questions concerning those problems. Mastery of math depends on practice, practice, practice!
* In addition to the textbook, you will need a scientific calculator and may need graph paper with grid size large enough to see without the aid of a magnifying glass. A straight edge and a few different colored pencils or pens may also be useful.
* Please do not tape record class sessions.
* Please turn off telephones before class. | |
Project Descriptions:
| If the faculty member incorporates projects as part of the course grade, the problems comprising the projects might come from the Topics for Discussion/Projects that are a part of each section of the textbook or the faculty member might create projects based upon current events or items that are useful and of interest to the class. | |
Academic Policies:
Cases of plagiarism are handled consistent with current UMUC guidelines.
See the UMUC policies at the following URL:
http://www.umuc.edu/policy/ | |
Course Schedule:
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Tentative Schedule; may be modified by instructor as circumstances deem necessary. All readings and assignments are from College Algebra and Trigonometry, by Aufman, Baker and Nation. Please read the sections to be covered prior to the class meeting. Homework assignments will be comprised of the odd numbered problems in each section unless specified otherwise during the class meetings.
Class Sections, Meeting, Covered Topics, and Exams
1 P.1-P.4 Real Numbers, Intervals and Absolute Value, Exponents, Polynomials
2 P.5-1.2 Factoring, Rational Expressions, Linear Equations, Formulas and Applications
3 1.3, 1.4 Quadratic and Other Types of Equations
4 1.5, 1.6 Inequalities, Variation
5 2.1 Exam I, Graphs
6 2.2, 2.3 Functions
7 2.4, 2.5 Quadratic Functions, Properties of Graphs
8 2.6, 3.1 Algebra of Functions, Polynomial and Synthetic Division
9 3.2, 3.3 Exam II, Polynomial Functions
10 3.2-3.4 Polynomial Functions
11 3.5 Rational Functions
12 4.1, 4.2 Inverse Functions, Exponential Functions
13 4.3, 4.4 Exam III, Logarithmic Functions and Properties of Logarithms
14 4.5, 4.6 Exponential and Logarithmic Equations, Applications
15 4.7 Modeling Data, Review for Final Exam
16 Final Exam
NOTE: Exam I covers P.1-1.6
Exam II covers 2.1-2.6
Exam III covers 3.1-4.1
Final Exam is comprehensive | |
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