Math 1280/1300, Pre-Calculus - Bowling Green State University

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Math 1280/1300, Pre-Calculus
Instructor:
Office:
Office Hours:
Phone:
E-mail:
MyMathLab Course Code:
Text and Materials:
ISBN: 1269594060 Author: Blitzer
Title: Precalculus, Books a la Carte Edition Package Bowling Green State University, 5/e
A graphing calculator is also required, preferably a TI-83 or TI-84.
MyMathLab:
MyMathLab is an online program that you are required to use to complete your assignments. Access
to MyMathLab requires an access code. If you purchase a new textbook from any Bowling Green
bookstore, an access code will be bundled with the book. If you choose not to buy the textbook,
you may purchase access to MyMathLab from the website http://mymathlab.com/. For technical
assistance with MyMathLab, contact 800-677-6337. (Technical issues involve MyMathLab not working
properly. Questions regarding how to complete a math question should be addressed with your
teacher.)
Course Aim:
The course aim is to give students the necessary algebraic and trigonometric skills to be successful in
Calculus. This class will also help develop mathematical thinking and communication skills.
Topics Covered:
Week 1:
Section 1.2
Section 1.3
Section 1.6
Week 2:
Section 1.7
Section 1.8
Week 3:
Section 1.9
Section 2.3
Week 4
Section 2.4
Section 2.5
Section 2.6
Week 5:
Section 2.7
Section 3.1
Week 6:
Section 3.2
Section 3.3
Week 7:
Section 3.4
Section 4.1
Week 8:
Section 4.2
Basic Functions and Their Graphs
More on Function and Their Graphs
Transformations of Functions
Combinations of Functions: Composite Functions
Inverse Functions
Distance and Midpoint Formulas, Circles
Polynomial functions and Their Graphs
Dividing Polynomials; remainder and Factor Theorems
Zeros of Polynomial functions
Rational functions and Their Graphs
Polynomial and Rational Inequalities
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
Angles and Radian Measure
Trigonometric Functions: The Unit Circle
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Section 4.3
Week 9:
Section 4.4
Section 4.5
Week 10:
Section 4.6
Section 4.7
Section 4.8
Week 11:
Section 5.1
Section 5.2
Week 12:
Section 5.3
Section 5.5
Week 13:
Section 6.6
Section 7.1
Week 14:
Section 9.1
Section 9.2
Week 15:
Section 9.3
Section 10.1
Week 16:
Section 10.2
Section 10.3
Right Triangle Trigonometry
Trigonometric Functions of Any Angle
Graphs of Sine and Cosine Functions
Graphs of Other Trigonometric Functions
Inverse Trigonometric Functions
Applications of Trigonometric Functions
Verifying Identities
Sum and Difference Formulas
Double-Angle, Power-Reducing and Half-Angle Formulas
Trigonometric Equations
Vectors
Systems of Linear Equations in Two Variables
The Ellipse
The Hyperbola
The Parabola
Sequences and Summation Notation
Arithmetic Sequences
Geometric Sequence and Series
Course Learning Outcomes:
1. Represent functions verbally, numerically, graphically and algebraically, including linear,
quadratic, polynomial, rational, root/radical/power, piecewise-defined, exponential, logarithmic,
trigonometric and inverse trigonometric functions.
2. Perform transformations of functions.
3. Perform operations with functions: addition, subtraction, multiplication, division and composition.
4. Find inverse functions.
5. Use the Remainder and Factor Theorems for polynomial functions.
6. Determine symmetry of a function.
7. Solve a variety of equations, including polynomial, rational, exponential, logarithmic,
trigonometric and inverse trigonometric equations.
8. Identify and express the conics in standard rectangular form and graph the conics.
9. Solve polynomial and rational inequalities.
10. Represent sequences verbally, numerically, graphically and algebraically.
11. Write series in summation notation.
12. Express angles in both degree and radian measure.
13. Define the six trigonometric functions in terms of right triangles and the unit circle.
14. Verify trigonometric identities.
15. Represent vectors graphically in both rectangular and polar coordinates.
16. Perform basic vector operations.
17. Solve application problems using vectors.
BGP Learning Outcomes:
1. Interpret mathematical and statistical models such as formulas, graphs, tables, and schematics,
and draw inferences from them.
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2. Represent mathematical and statistical information symbolically, visually, numerically, and
verbally.
3. Use arithmetical, algebraic, geometric and statistical methods to solve problems.
4. Estimate and check answers to mathematical problems in order to determine reasonableness,
identify alternatives, and select optimal results.
5. Recognize that mathematical and statistical methods are based on assumptions and have limits.
BGP Learning Outcomes will be evaluated on the Final Exam.
Instructional Strategies:
Instructional Strategies will vary by instructor but may include interactive lecture, group work
(activities), applets, flipped classroom, etc.
Student Learning Activities:
Student Learning Activities will vary by instructor but may include MyMathLab reading quizzes, group
work, homework exercises, classroom presentations, etc.
Reading Quizzes:
You will be required to read each section and complete a reading quiz prior to discussing the section
during class. All MyMathLab Reading Quizzes are due at 9:00 a.m. on the due date. You are
allowed to take each Reading Quiz only once.
In-Class Assignments:
Activities (worksheets, quizzes, etc.) will be assigned that will take place during class. Your individual
instructor will determine the type and number of In-Class Assignments.
Homework (MyMathLab’s Study Plan and Post Quizzes):
Homework is completed online within MyMathLab and is divided between two categories: the Study
Plan and Post Quizzes. The Study Plan should be completed first by clicking the “+” next to the
chapter and the “+” next to the section then mastering each objective before taking the Post Quiz.
The Post Quiz is designed to be taken after the objectives have been mastered in the Study Plan. All
MyMathLab Post Quizzes are due at 9:00 a.m. on the due date. You are allowed to take each Post
Quiz as many times as you wish.
MyMathLab’s Study Plan will be evaluated and points will be assigned at 9:00 a.m. on the following
days. On September 24th at 9:00 a.m. you will need to have earned 76 mastery points. On October
22nd at 9:00 a.m. you will need to have earned 119 mastery points. On November 19th at 9:00 a.m.
you will need to have earned 150 mastery points. And on December 12th at 9:00 a.m. you will need
to have earned 172 mastery points.
You are required to complete the problems for a section in the Study Plan prior to taking the Post
Quiz. The problems within the Study Plan contain help features that are not available in the Post Quiz.
Once you have taken a Post Quiz you can review the quiz. While reviewing the Post Quiz, the help
features will again be available to you. You are allowed to retake a Post Quiz as many times as you
would like prior to the due date.
Although you are encouraged to consult with other students and seek help from your instructor,
assignments should ultimately represent your own work. Answers unsupported by work will not receive
credit. Completing all assignments and class participation is essential to the students’ success.
Exams:
There will be 3 exams and a cumulative final Exam
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Exam 1 (Sections 1.2, 1.3, 1.6, 1.7, 1.8, 1.9, 2.3, 2.4, 2.5, 2.6)
Sept. 24th, 7:30-9:00PM
Exam 2 (Sections 2.7, 3.1, 3.2, 3.3, 3.4, 4.1, 4.2, 4.3, 4.4)
Oct. 22nd, 7:30-9:00PM
Exam 3 (Sections 4.5, 4.6, 4.7, 4.8, 5.1, 5.2, 5.3, 5.5, 6.6)
Nov. 19th, 7:30-9:00PM
Final Exam (50% 7.1, 9.1, 9.2, 9.3, 10.1, 10.2, 10.3; 50% cumulative)
Dec. 15th, 6:00-8:00PM
Evaluation:
Your final grade in the class will be calculated as follows:
Reading Quizzes within MyMathLab
25 Points
4%
Grading Scale
Study Plan within MyMathLab
50 Points
8%
90-100%
A
Post Quizzes within MyMathLab
50 Points
8%
80-89.99%
B
In-Class Assignments
50 Points
8%
70-79.99%
C
Exam 1
100 Points
16%
60-69.99%
D
Exam 2
100 Points
16%
0-59.99%
F
Exam 3
100 Points
16%
Final Exam
150 Points
24%
Total
625 Points
100%
Placement:
When developing lessons and activities, your teacher must take for granted that you have mastered
concepts presented in prerequisite courses. The pace of this course precludes the opportunity to
review these concepts in class before they will be used extensively. If you know that your skills are
weak in any of these areas, I encourage you to discuss your concerns with your teacher or with a
tutor so that we can help you strengthen your skills. If you have not met all of the prerequisites, you
should immediately consult with your academic advisor and with your teacher so that we can place
you in the appropriate math class.
Dropping the Course:
During the first 14 calendar days of the semester, you may drop this course with no record on your
transcript. After the second week, you must follow the formal withdrawal policy. When you withdraw
from a course, University policy dictates that a grade of W (Withdrawn) will be assigned. If you
withdraw from the course after the eleventh week of class, you will be assigned a grade of ATN. If
you stop attending and participating in the course but do not officially drop or withdraw from the
course, you will be assigned a grade of ATN at the end of the semester. If you do not take the final
exam, you will be assigned a grade of ATN, per official University policy. The grade of ATN will
appear as an F on your transcripts and will be calculated into your GPA.
Academic Honesty:
The instructor and students in this course will adhere to the University’s general Codes of Conduct
defined in the BGSU Student Handbook. Specifically, the Code of Academic Conduct (Academic
Honesty Policy) requires that students do not cheat, fabricate, plagiarize or facilitate academic
dishonesty. Students who passively engage in cheating (i.e. allowing others to cheat off of them)
may receive the same consequences as the person copying.
Course Coordinator:
If you have a problem or concern you are encouraged to discuss the issue with your teacher. If you
cannot resolve the issue with the teacher, you should contact the course coordinator. The course
coordinator is: Ann Darke, 411 Mathematical Sciences Building, 419-372-7458, darkea@bgsu.edu
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Department Mediator:
If you have a problem or concern that cannot be resolved by discussing the issue with your teacher
or with the course coordinator, you should contact the department mediator. The department
mediator is: Dr. Arjun Gupta, 416 MSC, 419-372-2820, E-mail: gupta@bgsu.edu
See http://www.bgsu.edu/arts-and-sciences/mathematics-and-statistics/general-math-courseinfo/departmental-mediator.html for more information
Students with Disabilities:
Students who have or acquire a disability which raises academic concerns may contact Disability
Services for Students in College Park room 38, telephone 419-372-8495 (voice) and 419-372-8496 (fax).
If a student is currently registered with the Office of Disability Services, the student is required to give
the instructor a copy of any official paperwork so that the instructor can make the necessary
classroom and assessment adaptations.
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