MAC 1114 SYLLABUS – FALL 2002

PLANE TRIGONOMETRY

 

CATALOG DESCRIPTION:

      This course deals with the solution of triangles, trigonometric relations, functions of an angle, logarithms, and complex numbers. Prerequisite: MAC 1105 or consent of department.  A "C" or higher must be earned to advance to a higher level course or to use this course as part of the general education requirement in mathematics.  3 semester hours credit.

     It should be noted that MAC 1114 does not contain all of the essential skills needed for the College Level Academic Skills Test (CLAST).  It is recommended that students take MGF 2118, the CLAST Skills review, during the semester in which the CLAST is taken.

 

TEXT:  Trigonometry 7th Edition, by Margaret L. Lial,E. John Hornsby, Jr. and David I. Schneider.  Scott Foresman and Company, 1997.

 

INSTRUCTOR:  Rose Cavin

  Room 123E, Natural Science Building  

  Extension 3382                  

  Email:  cavinr@chipola.edu

                                         Office Hours:   To be posted on my door

 

REQUIRED MATERIALS: 

Throughout the semester we will use both the computational and graphing functions of a graphing calculator.  I will be using a TI-83 for class demonstrations.  Students should bring a calculator to class every day. 

 

GRADING SCALE:            A -  93 - 100

                                                B -  83 -  92

                                                C -  70 -  82

                                                D -  60 -  69

                                                F -  below 60

 

GRADE DISTRIBUTION:

                5 Unit Exams - 5/6 of the semester grade

                Final Exam     - 1/6 of the semester grade

           

MATH LAB:  Free tutoring is available in the Math Lab, along with a variety of video tapes and reference materials.  Lab hours will be posted on the lab door.

 

TESTING AND GRADING POLICIES:

      Five one hour announced tests will be given during the semester, which will account for 5/6 of the student's semester grade.  If a student misses one announced test for a substantiated, excused reason, the grade on the final exam will be used to replace the missing test grade.  If a student misses a second test for a substantiated, excused reason, a make‑up test may be taken.  The make up exam will cover the same material as the test missed, but will not be the same test.  Arrangements to take the make up test must be made the day the student returns to the campus, and must be taken within one week of return to campus.  A student will be allowed ONLY one make up exam per semester.

 

     A cumulative final exam must be taken to pass the course, and will account for 1/6 of the student's semester grade.         

 

Warning:  Failure to take a make up test by the end of the final examination period, or failure to take the final exam, will result in an automatic zero for the missed test.

 

EXTRA CREDIT:

     A student that completes all assigned homework and attends all classes prior to each test will earn three extra points on each of the five one‑hour announced tests.  To receive credit for homework assignments they must be complete, all work must be shown, and they must be turned in the day of the exam.  To receive credit for attendance, the student must be in class the entire class period.  Tardies and early departures will be counted as absences unless prior explanation is given.  A student absent for an official college activity will not be penalized as long as all homework is completed on time.  

      The final exam grade may be used to replace the lowest unit test grade during the semester. 

 

SUPPLEMENTAL MATERIALS:

Computer software and video tapes are available in the Math Lab  which can provide further explanations and practice for some topics covered in this course.

 

 

CLASS ATTENDANCE:

                  Chipola Board policy:   Regular attendance is expected of all students.  Each student is accountable to the instructor concerned for all class absences except those resulting from official college activities.  Students who are absent from classes for any reason other than official college activities must satisfy the instructor concerned that the absence was due to illness or other clearly unavoidable reasons.  Otherwise, the student may suffer grade loss at the discretion of the instructor.

                  Math Department policy:  Any student who accumulates more than 10 absences will automatically fail this course.  An appeal may be made to an appeal committee.  This appeal may or may not be approved.  

 

STATE REQUIREMENTS/REGULATIONS:

     Each student is allowed a maximum of three attempts to pass any given course and will be charged full cost of instruction (equivalent to out-of-state tuition rates) on the third attempt.  If you have made any previous attempts at this course, please discuss this with the instructor.  Be aware that a withdrawal from a course (including administrative withdrawal) is considered an attempt.


                    MAC 1114 - TRIGONOMETRY

                           Course Outline

 

An Introduction to Scientific and Graphing Calculators – Read on your own

1.1  Basic Concepts – Read on your own

1.2  Angles

1.3  Angle relationships and similar triangles – Read on your own

1.4  Definitions of the Trigonometric Functions 

1.5  Using the Definitions of the Trigonometric Functions

2.1  Trigonometric Functions of Acute Angles

2.2  Trigonometric Functions of Non-Acute Angles

2.3  Finding Trigonometric Function Values Using A

2.4  Solving Right Triangles

2.5  Further Applications of Right Triangles*

 

EXAM

    

3.1  Radian Measure 

3.3  Circular Functions of Real Numbers

3.2  Applications of Radian Measure

3.4  Linear and Angular Velocity*

4.1  Graph of Sine and Cosine Function 

4.2  Translating Graphs of the Sine and Cosine Function

4.3  Graphs of Other Circular Functions

 

EXAM

    

5.1  Fundamental Identities 

5.2  Verifying Identities 

5.3  Sum and Difference Identities for Cosine

5.4  Sum and Difference Identities for Sine and Tangent 

5.5  Double Angle Identities 

5.6  Half Angle Identities

 

EXAM

 

6.2  Trigonometric Equations

6.3  Trigonometric Equations with Multiple Angles

6.1  Inverse Trigonometric Functions 

6.4  Equations with Inverse Trigonometric Functions

 

EXAM

    

7.1  Oblique Triangles and the Law of Sines

7.2  The Ambiguous Case of the Law of Sines 

7.3  The Law of Cosines

7.4  Introduction to Vectors*

7.5  Application of Vectors*

 

8.1  Operations on Complex

8.2  Trigonometric Form of Complex Numbers 

8.3  Product and Quotient Theorems 

8.4  Powers and Roots of Complex Numbers 

 

EXAM

 

*These sections may be covered at the end of the semester as time permits.

 

Final Exam