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Accelerated Pre-Calculus
MATH-126

  • Section Template
  • 5 Credits
  • 04/30/2013 to 01/01/2075
  • Modified 12/15/2020

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)

Graphing calculator

Evaluation

Student Electronic Access to Grades

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 10-30%
Class Participation 0-5%
Exams or Tests 40-60%
Final Exam 20-25%
Other 0-10%
Portfolios 0-10%
Projects 0-10%
Quizzes 0-20%
Reports/Presentations 0-10%

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

Class Attendance/Participation

Other

Extra Credit

Extra credit may be available in this course. This information is provided by the section instructor.

Institutional Policies

Academic Success Coaches

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.

Additional Items

Course Specific Information

Free Tutoring is available at the Learning Commons, located in room 108 of the Arts & Sciences Building.  Please stop by or call (517) 483-1206 for additional information, http://www.lcc.edu/tutorial/.  Additional tutoring is also available at the East and West campus.

Course Practices

An Academic Honors Option is a form of instructional agreement whereby a student can earn an Honors designation on his or her transcript by completing one or more approved enrichment assignments in a non-Honors course.  This course allows qualified students to complete Academic Honors Options.  The Academic Honors Option assignment(s) designed by faculty for this course are explained below.  If you elect to complete this work and do so successfully, your achievement will be noted on your official LCC transcript.  Please be aware that Academic Honors Options DO NOT earn Honors course credit. Students seeking an Honors Option may complete one of the following assignment choices in addition to all other course work assigned by the instructor:

  1. One or more substantial mathematics projects assigned by the instructor.  Mathematics projects should either extend the mathematical content of the course or apply the mathematics within a new context. 2.   An extensive research paper on a topic germane to the course and approved by the section instructor. Additional information will be posted on the Desire2Learn course site.