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Lansing Community College • Main • Arts and Sciences • Math and Computer Science Dept


Precalculus II MATH-122

  • Fall 2017
  • Section 10028
  • 4 Credits
  • 08/24/2017 to 12/18/2017
  • Modified 06/05/2018

Description


Second in two-course sequence, following MATH 121. Topics include right triangle trigonometry, trigonometric functions, graphs, identities and equations, inverse trig functions, laws of sines/cosines, polar coordinates, vectors, systems of linear equations, matrices, sequences, series, conic sections, parametric equations, permutations, combinations, and binomial theorem. Degree credit may not be earned in both MATH 121/122 and MATH 126. (F,Sp,Su)

Requisites

Prerequisite: (Minimum 2.0 in MATH 121 within 2 years or Math Level 7 within 2 years) and Reading Level 5 and Writing Level 4

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

Contact Hours

Lecture

64 

Lab

0

Other

0

Total Hrs

64

 

Student Learning Outcomes


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

  1. Demonstrate an understanding of the trigonometric functions.
  2. Apply the properties of trigonometric functions and sketch their graphs both by hand and with the aid of a graphing calculator.
  3. Apply trigonometric identities and formulas, and solve trigonometric equations and triangles.
  4. Prove trigonometric identities.
  5. Demonstrate an understanding of inverse trigonometric functions.
  6. Demonstrate an understanding of a vector and its relationship to triangles; apply vectors to solving problems in the physical sciences.
  7. Demonstrate an understanding of vector properties and operations.
  8. Demonstrate an understanding of matrix row operations to solve systems of linear equations; obtain RREF of a matrix by Gaussian Elimination.
  9. Apply various techniques for solving systems of equations.
  10. Identify and sketch the conic sections by hand; find center, vertices and foci.
  11. Graph polar coordinates and equations by hand; convert equations between rectangular and polar form. 
  12. Graph parametric equations; convert equations between rectangular and parametric form.
  13. Demonstrate an understanding of sequences and series; identify and compute arithmetic and geometric sequences and series.
  14. Expand positive integer powers of binomials using the binomial theorem.
  15. Use relevant features of a graphing calculator to explore, model, and solve problems.
  16. Use trigonometric, algebraic, and graphical approaches to solve applied problems.

Materials


Tools or Equipment (Required of the Student)

A graphing calculator is required. The TI-84 Plus is recommended and supported.  The TI-83 will work as well.  Students planning on going on past Calculus 2, may want to consider purchasing the TI-89 or the Nspire CAS, however these calculators are not supported in this class so it will be up to the student to learn how to use them.

Precalculus: Mathematics for Calculus

  • Author: Stewart, Redlin, and Watson
  • Publisher: Cengage Learning
  • Edition: Seventh
  • ISBN: 9781305011759
  • Availability: MBS, online in WebAssign, other places...

This book is available in the Learning Commons and may be available in the Library. Lack of ability to purchase a book is not a valid excuse to skip assigned reading and practice problems.

More textbook information can be found here

Access to WebAssign for Homework

Homework can be completed online through Web Assign. An access code (which comes with the book or can be purchased separately) and Class Key is required to do so.

All students will be required to do at least one introductory assignment in WebAssign during the free trial period which expires on Sept. 6th.

The Class Key for this course is: lcc 0154 1186

WebAssign is optional except for an introductory assignment which can be done during the free trial period.

Evaluation


Student Electronic Access to Grades

Desire2Learn (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. 

If your instructor is using an electronic gradebook system other than D2L, instructions on accessing that system will be provided below.

Criteria

Types of evaluations and related weights
Type Weight Topic Notes
In-Class Activities 8%
Skills and SCOs 12%
WebAssign / D2L 10%
Tests 50%
Final Exam 20%
Extra Credit bonus

Students are allowed to earn  upto enough extra credit to raise there overall grade in the course by no more than 0.5.  For example a student who earns a 3.0 without extra credit might earn a 3.5 with extra credit, but not a 4.0.

Breakdown

Department/Program Specified

                             Point Range

94-100%   =  4.0    935 to 1000

88-93%    =  3.5     875 to 934

82-87%    =  3.0     815 to 874

77-81%    =  2.5     765 to 814

71-76%    =  2.0     705 to 764

65-70%    =  1.5     645 to 704

60-64%    =  1.0     595 to 644

0-59%      =  0.0        0 to 594

Category number  × pts each = points
activities top 16 ×  5 = 80
online hw top 5 × 20 = 100
skills top 24 ×  5 = 120
tests 5 × 100 = 500
final 1 × 200 = 200
total:         1000

 

Course Policies


Class Attendance/Participation

Regular attendance is necessary to participate in class discussions, do in class activities and projects, and keep up with the material, as well as to be present for tests. 

If you must miss a class, you need to send a note to your instructor for each day you miss through the D2L email system.  Attach a copy of the daily activity assignment if you do not want to count that days missed assignment as one of your dropped activities. You may turn in your skills assignment when you return on the next class day.  No credit will be given for activities that are turned in the next class day. 

You will find a link to the daily activities and to the skills assignments in content > unit X > agendas.  Looking at the agenda for the class you missed will also give you a chance to see what material you need to study before the next class.

If you miss more than one class without communicating on the class day, you risk getting administratively dropped from the class.

Dropping the Course

If you find that you are unable to commit the time it takes to succeed in this course, please pay attention to the drop dates:

Aug. 30th: Last Day for a 100% Refund

Sept. 6th: Last Day for a 50% Refund and No Course Shown on your Record

December 4th: Last Day to get a W

and the school's withdrawal policies located: http://www.lcc.edu/catalog/policies_procedures/registration.aspx#Withdrawal

If you miss 2 or more classes or graded items in any one category* without communicating with your instructor, you will likely be dropped.  However if you know you want to drop, please take responsibility to do so rather than counting on an administrative drop.  Also, if you miss assignments or classes, please discuss the situation with your instructor.  I would like to help you stay in the course if that is possible. The best way to communicate with me other than in person is through the Desire to Learn e-mail system.

*Note that not achieving at least a 75% of the online homework (which you can get help with and do repeatedly until the due date and time) is considered missing an assignment.

Extra Credit

You may earn up to 50-60 points in extra credit.

Up to 50 points may be earned by participating in the group exam after the exam on exam days (10 points per exam).

Up to 20 points may be earned by doing the honor's projects  even if you don't do enough honor's projects to earn the H designation, you may still do some for extra credit. The projects range in values from 1 to 3 points and they are designed to deepen your understanding of topics covered in the course or to extend to some topics that are in the course textbook, but not required as part of the normal course.

As per the school's extra credit policy, are not allowed to earn enough points to raise your grade by extra credit more than a half point.  Thus if you do all of the above, your extra credit will be capped at just enough to raise your grade by 0.5 (for example from a 3.0 without extra credit to a 3.5 with extra credit, but to a 4.0).

Electronic Gradebook

Your grades will be posted in Desire to Learn.  You will also be provided with a template to keep track of your grades.  Compare your records with those in D2L frequently so any mistakes or misunderstandings can be cleared up right away.

 

Makeup Tests

If you miss a test or an exam or are unhappy with your results, you may be allowed to replace it with a makeup test/exam. You are only allowed up to two makeup tests. You are not allowed to retake the final exam. The qualifications to take a makeup test/exam include scoring a 100% on the corresponding unit WebAssign or D2L graded homework and take home skills assignments. You may be asked to show me completed textbook and worksheet homework and/or discuss concepts related to the unit with me. The goal here is for you to actually do better on the makeup test/exam. If you do better on the makeup exam, the makeup score will replace your original score. If you do worse on the makeup test/exam, your scores will be averaged. It is best if you do well on all homework before the original test and all review problems before the original exam, so you can do well and not need to take a makeup test/exam. Most makeup tests/exams will be given at the Assessment Center (for online and main campus classes) or at the LCC East testing center (for classes held at LCC East only).

No makeup tests can be taken after the final exam has been taken.

Minors

If you are under 18 years old, please note that this is a college class and as such you will be treated like any other college student.  If you have questions about anything related to this course, please ask me directly.  As a college teacher I only discuss grades and other personal information with the student that is involved.  If you want to share any information that you get from me with your parents you are welcome to do so, but please take the responsibility upon yourself to discuss issues that concern your progress in the course with me directly.

Late Work

In class activities are to be turned in or graded on the spot during class or at the latest by the next day's office hours.

Skills are due the very next class period after they are assigned but may be corrected and turned in again for full credit up to the next test day.  Skills turned in after the corresponding test day may continue to be resubmitted until they are perfect for 90% correct.

After the Formative Assessment, e-homework is due before the corresponding test unit.  Late e-homework may be redone until perfect and then 90% of the points that you didn't already have before the test will be granted.  For example if you had 15 out of 20 points before the test and then you finished the last 5 points worth of problems after the test, you will get another 4.5 points added to your homework grade.

No late work will be accepted after the final exam has been taken.

Institutional Policies


Transfer Potential

For transfer information, please consult the LCC website at http://www.lcc.edu/transfer.

The Michigan Transfer Agreement (MTA) and the MACRAO Transfer Agreement simplify the transfer of students from one Michigan institution to another. MACRAO will be replaced by the MTA which is effective for students entering Fall 2014 or later. Students who started prior to Fall 2014 will be able to complete the MACRAO Transfer Agreement through Summer 2019, or they may complete the MTA requirements. The most current MTA information can be found at http://www.lcc.edu/transfer/mta.aspx and the current MACRAO information is available at http://www.lcc.edu/transfer/macrao_agreement.aspx.

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

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 - Campus Resources (http://lcc.edu/odss) or by calling (517) 483-1924 [TTY (517) 483-1207] as soon as possible to better ensure that such accommodations are implemented in a timely fashion.

Student Code of Conduct and General Rules and Guidelines

LCC supports a positive educational environment that will benefit student success. In order to ensure this vision, the College has established the LCC Student Code of Conduct and the Student General Rules and Guidelines to ensure the protection of student rights and the health and safety of the College community, as well as to support the efficient operation of College programs. In addition, the College has established guidelines for the redress of grievances by individuals accused in such proceedings. A copy of the most current Code can be found on the College’s website at http://www.lcc.edu/catalog/policies_procedures/studentrulesguidelines.aspx#code.                 

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 may be reported to the Office of Student Compliance.

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.

Academic Success Coaches

Student success is our top priority here at Lansing Community College. Academic Success Coaches mentor students and help them navigate the college infrastructure and support network. They are focused on helping students successfully complete their educational, personal and career goals.

The Academic Success Coaching Team supports the mission of LCC in collaboration with faculty, staff and community partners. That support consists of assisting students with academic challenges as well as individualized support and advocacy for both on and off-campus difficulties that may negatively affect a student’s ability to successfully reach their educational goal.

Students should know that the LCC faculty and staff may refer them to a Success Coach if they recognize that additional mentoring or assistance may be helpful. We view such referrals as part of our mission to ensure all students can reach their potential while here at LCC. Students are also encouraged to contact an Academic Success Coach on their own, should they need help, guidance or assistance with any aspect of their educational process while attending LCC.  During such encounters, students will receive proactive individualized coaching, mentoring and encouragement to remain engaged in the successful advancement of their educational goals.

To contact a Success Coach go to: http://www.lcc.edu/aa/success_coaches/ or call (517) 483-1422.

Additional Items


Honor's Option

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.

 

 There will be several honor's projects listed on our course schedule with more details about what is required of the project posted in D2L.  Most projects are worth 1 to 3 points depending on the level of difficulty and intricacy.  If you would like to earn the Honor's designation, please do at least 15 points worth of projects.  Start them when we get to the material that they are related to, but feel free to ask for further guidance in completing them.  The idea here is to extend your learning, not to test you. Thus don't give up.  If you are willing and have time to do the extra work you will be able to do them and get extra guidance to help you. Please note that you cannot earn more than 50 points total in extra credit so if you earn 30 points from your group exams, you will not be able to earn more than 20 points in the Honor's option even if you do more than 20 points worth of work.

 

Free Tutoring

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.

Resources

  • Borrow a Calculator: http://www.lcc.edu/wrc/announcements/Calcloanprog.aspx
  • Drop in Tutoring:  The Learning Commons has math tutors to assist you.  Check the current hours at: http://mathdepartment.us/MathTutoring.htm
  • Tutorial Services:  You can also sign up for 1-1 or small group tutoring on a weekly basis at the Learning Commons in A&S 108.  Sign up early as appoints go fast: http://www.lcc.edu/tutorial/
  • Supplemental Instruction:  Tutorial Services also hires Supplemental Instructors (SI) to run sessions to help students with the course material.  We are lucky to have Curtis as our SI this semester.  He is very enthusiastic about helping you learn Precalculus.
  • Technical Help:  If you have troubles with Desire to Learn or the LCC website or LCC computers, you can contact the Help Desk at 483-5221 or http://www.lcc.edu/helpdesk/ for assistance.
  • Counseling:  If you need personal assistance check out the Counseling Center in the Gannon Building Star Zone on the downtown campus.  Their number is 483-1904 and their website is: http://www.lcc.edu/counseling/.
  • Advising: Academic Advising can also be found at the Counseling Center listed above.  The website for advising is: http://www.lcc.edu/advising/.
  • Your Classmates: Many students find that working with classmates outside of class can be helpful for getting homework done and preparing for tests.  It is good to attempt problems on your own and then get together with others and explain difficult problems to each other.  Doing this, both helps the student struggling with a problem and it reinforces concepts for the student who is doing the explaining.
  • Your Teacher: I hold regular office hours, listed near the top of this syllabus and I also tutor in the Learning Commons in A&S 108. 

Make sure you get help when you need it.  It is vital that you grasp all concepts and stay current with the material.

Study Time

You can expect to spend 2-3 hours per week outside of class for every hour in class.  It should take most students 8 – 12 hours per week (on normal weeks) of study time to be successful in this class.    Don't be afraid to ask for help!