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Main · Arts and Sciences · Math and Computer Science Dept

# Accelerated Pre-CalculusMATH-126

• Spring 2021
• Section 50914
• 5 Credits
• 01/11/2021 to 05/10/2021
• Modified 01/09/2021

## Description

MATH 126 is a 5 credit course on functions and trigonometry. Topics include definition and concept of functions, properties and graphs of polynomial, rational, exponential, logarithmic, trigonometric, and inverse trigonometric functions; polar coordinates; conic sections; parametric equations; systems of equations; and the binomial Theorem.(F,Sp)

Requisites

Prerequisite Courses: None
Placement Scores: Math Level 7 within 2 years and Reading Level 5 and Writing Level 6 or Department Approval

Graphing Calculator Required: TI 83/84 Series recommended. TI 84 Plus CE highly recommended.

Course Note: This is an accelerated course that prepares students for the calculus sequence. It is appropriate for students who already have some knowledge of the topics of the course.

Contact Hours

 Lecture 80 Lab 0 Other 0 Total Hrs 80

## Student Learning Outcomes

Upon successful completion of this course, students should be able to:

1. Represent and recognize functions verbally, numerically, graphically and algebraically, including linear, quadratic, polynomial, rational, root/radical/power, piecewise-defined, exponential and logarithmic functions, trigonometric and inverse trigonometric functions.
2. Perform algebraic (addition, subtraction, multiplication, division and composition) manipulation of functions including difference quotient.
3. Perform transformations of functions - translations, reflections and stretching and shrinking.
4. Analyze the algebraic structure and graph of a function, such as:  intercepts, domain, range, asymptotes, symmetry (even/odd), end behavior, etc., and be able to determine the algebraic definition for a function given graphically.
5. Understand the concept of inverse function and be able to find inverses of one-to-one functions and understand the relationship of the graph of a function to that of its inverse.
6. Recognize the need for complex numbers and apply basic operations to complex numbers.
7. Graph polynomial functions and find zeros over the complex number system and factor a polynomial into linear factors.
8. Solve a variety of equations, including polynomial, rational, exponential, logarithmic, and equations arising in application problems, and systems of equations.
9. Solve a variety of inequalities such as polynomial and rational inequalities graphically and algebraically.
10. Apply the properties of trigonometric functions and sketch their graphs both by hand and with the aid of a graphing calculator.
11. Apply trigonometric identities and formulas; solve trigonometric equations and oblique triangles.
12. Recognize sequences and series including arithmetic and geometric sequences and series.
13. Identify and sketch the conic sections; find center, vertices and foci.
14. Graph parametric equations; convert equations between rectangular and parametric form.
15. Use and correctly interpret the many features of a graphing calculator.
16. Polar Coordinates; Graphs of Polar Equations; Polar forms of Complex Numbers.
17. Two dimensional vectors and the dot product.
18. Systems of Linear Equations.
19. Binomial Theorem.

## Materials

### Tools, Equipment or Apparel (Required of the Student)

A graphing calculator is required. The TI 83/84 models are highly recommended.

TI Inspire is NOT allowed.

### Required

• Click "Register as a new user"
• Enter the information requested and press "Sign-up"
• You may see a "Browser Check" page. If so, click the "Continue with Image-based display" button.
• In the "Enroll in new course" box, enter this class's course ID and key:

Course ID: 50263

• The course name will now show up in the "Courses You're Taking" box on your home page. Click the course name to enter the course.

The next time you want to access the course, you will just need to enter your username and password at the login page, then click on the course name to re-enter the course.

• Access to the textbook can be obtained through Openstax.org website. If you would like a physical textbook, they may be purchased online using the information provided below.

Recommended:

• Textbook: Precalculus

Abramson, ISBN 978-1-938168-34-5

• Homework notebook; loose leaf is recommended.

## Evaluation

D2L is the College’s Course Management System which includes a gradebook function allowing students access to their grades in order to receive timely and meaningful feedback on their progress in the course at any time. These grades will align with the Evaluation Criteria listed in this syllabus. D2L is accessed through the MyLCC page.

Whenever practicable, results for graded items should be posted electronically within 48 hours after the instructor has completed the grading process for the items, and final grades for the course should be entered no later than the specified grading day.

### Criteria

Types of evaluations and related weights
Type Weight Topic Notes
Assignments 10% Weekly homework due Sundays at 11:59PM (ET)
Midterm Exams 40% 5 Exams at 100 points each

The lowest of the five midterm exam grades will be dropped.

Final Exam 20%
Discussion Participation 10% Participation in weekly discussion boards.

See course policies below for further information.

Quizzes 20% Weekly quizzes given on weeks with no exam.

The lowest quiz grade will be dropped.

### Breakdown

 College Grading Standards Recommended Guidelines for Student Grades 4.0  --- Excellent 4.0     ---     91 – 100% 3.5  --- --------- 3.5     ---     86 – 90% 3.0  --- Good 3.0     ---     81 – 85% 2.5  --- --------- 2.5     ---     76 – 80% 2.0  --- Satisfactory 2.0     ---     71 – 75% 1.5  --- --------- 1.5     ---     66 – 70% 1.0  --- Poor 1.0     ---     60 – 65% 0.0  --- -------- 0.0     ---       0 – 59%

## Course Policies

### Collaboration

Collaboration is permitted on any/all homework and discussion boards.

Quizzes and exams are to be taken by you and only you. No other resources (internet, notes, etc.) are permitted. Collaboration of any form on quizzes, midterm exams, or final exams is prohibited and will be reported to the Office of Student Compliance.

Regular attendance and participation is essential for learning. You are expected to attend the course each week. Attendance is measured by the submission of assignments or assessments. You may be dropped if you are absent the first week or if you miss more than a week. Simply logging on does not contribute to the class. Participation is defined as posting a message to the weekly discussion board forum at least 3 out of 7 DAYS each week. Your posts could be in response to the learning activities (instructor will get you started with a thread), as well as your own questions or comments about the weekly material. Participation does not include e-mails, or posts to the “Questions” forum. Make sure to logon often to avoid becoming overwhelmed by the number of posts.

Weekly participation points are awarded based on the quantity and quality of your posts. The following rubric will be used for participation evaluation:

15 Participation Points
• The participant consistently posted insightful comments and questions that prompted on-topic discussion.
• The participant consistently helped clarify or synthesize the ideas of peers.
• The participant stated his or her disagreement or objections clearly, yet politely.
• The participant replied to questions or prompts from a peer or facilitator.
• The participant posted at least 3 out of 7 DAYS per week.

10 Participation Points

• The participant was notably lacking in one or two of the items listed above.
• The participant consistently had to be prompted or coaxed to participate.
• The participant usually, but not always, expressed herself or himself clearly.
• The participant posted at least 2 out of 7 DAYS per week.

5 Participation Points

• The participant was consistently lacking in two or more of the items listed above.
• The participant was extremely reluctant to participate, even when prompted.
• The participant rarely expressed himself or herself clearly.
• The participant posted at least 1 out of 7 DAYS per week.

0 Participation Points

• The participant frequently attempted to draw the discussion off-topic.
• The participant was rude or abusive to other course participants.
• The participant consistently failed or refused to participate at all, even when specifically prompted or questioned.
• The participant posted 0 out of 7 DAYS per week.

## Institutional Policies

At Lansing Community College, student success is our top priority.  Our Academic Success Coaches mentor students to help them meet their educational, personal and career goals.  LCC faculty or staff may refer you to an Academic Success Coach if they recognize that mentoring or assistance may be helpful to you. Please monitor your LCC email for referral notifications.  Your participation in academic success coaching is voluntary.

In addition, we encourage you to contact an Academic Success Coach on your own if you need help, guidance or assistance to reach your goals.  To contact an Academic Success Coach, call (517) 483-1422, email [email protected], or visit the Academic Success Coaching Team website for more information.

### Disability Statement

Students with disabilities who believe that they may need accommodations in this class are encouraged to contact the Center for Student Access, Gannon Building, Star Zone - Center for Student Support, via the Center for Student Access website, or by calling (517) 483-5323 as soon as possible to better ensure that such accommodations are implemented in a timely fashion.

### Enrollment Verification

Class attendance and participation are essential to student success. Instructors will update class rosters by the 8th day after the start date of sections less than 8 weeks long, and by the 15th day after the start date of sections 8 weeks or longer to accurately reflect student enrollment in each course. Students who have not attended by these dates may be administratively dropped and responsible for any required tuition and fee charges.

### Nondiscrimination Statement

Lansing Community College is committed to providing equal employment opportunities and equal education for all persons regardless of race, color, sex, age, religion, national origin, creed, ancestry, height, weight, sexual orientation, gender identity, gender expression, disability, familial status, marital status, military status, veteran’s status, or other status as protected by law, or genetic information that is unrelated to the person’s ability to perform the duties of a particular job or position or that is unrelated to the person’s ability to participate in educational programs, courses services or activities offered by the college.

The following individuals have been designated to handle inquiries regarding the nondiscrimination policies: Equal Opportunity Officer, Washington Court Place, 309 N. Washington Square Lansing, MI 48933, 517-483-1730; Employee Coordinator 504/ADA, Administration Building, 610 N. Capitol Ave. Lansing, MI 48933, 517-483-1875; Student Coordinator 504/ADA, Gannon Building, 411 N. Grand Ave. Lansing, MI 48933, 517-483-1885; Sarah Velez, Human Resource Manager/Title IX Coordinator, Administration Building, 610 N. Capitol Ave. Lansing, MI 48933, 517-483-1874; Christine Thompson, Student Title IX Coordinator, Gannon Building, 411 N. Grand Ave. Lansing, MI 48933, 517-483-1261.

### Student Code of Conduct and General Rules and Guidelines

LCC supports a positive learning environment that provides opportunities for student success. The College recognizes the value and importance of a safe and orderly learning environment that encourages honesty, integrity, and ethical conduct. The Student Code of Conduct and General Rules and Guidelines ensure the protection of student rights and the health and safety of the College community, as well as aid in the efficient operation of College programs. In addition, the College has established procedures for addressing reports of alleged violations.

It is the responsibility of the student to be familiar with, and abide by, the Student Code of Conduct, as well as the General Rules and Guidelines. Furthermore, the instructor may establish reasonable guidelines within the classroom environment. Violations of the Student Code of Conduct and General Rules and Guidelines may be reported to the Office of Student Compliance.

### Transfer Potential

For transfer information, please consult the LCC Transfer webpage.  In addition, the Michigan Transfer Network website allows students the ability to search courses and discover how those courses transfer to colleges and universities statewide.

The Michigan Transfer Agreement (MTA) simplifies the transfer of students from one Michigan institution to another. For the most current information, see the LCC General Education webpage.

For additional transfer information contact the Academic Advising Center in the Gannon Building - Star Zone, (517) 483-1904.

### Compliance with COVID-19 Safety Precautions

All students, employees and visitors have a part to play in keeping the LCC community safe.  Everyone entering campus is required to adhere to the safety measures as outlined on the Spring Refresh 2021 webpage. Reports of noncompliance will be submitted to the Student Compliance Office for appropriate action.  Students with questions or concerns should email [email protected].

### Media Release Statement

Photographs, pictures, slides, movies, video, or other media coverage of students may be taken for College-related business, in connection with their enrollment or participation in LCC activities without compensation from LCC, its Trustees, officers, directors, employees, students and agents of each of them, and photographs, pictures, slides, movies, video, or other media coverage of students may be used for any legal purposes.