MTH114:  Trigonometry                                       Track A-Summer 2006

Syllabus

 

Section: 101

Class Time and Location: MWF 10:20am-12:10pmin C-306 Wells Hall

Course Prerequisite: MTH103:  College Algebra

 

Instructor: Steven Sy

            OfficeLocation: A-524 Wells Hall

            OfficeHours:  T and Th 2:30-3:30pm, and by appointment

            Phone:  (none)

            PhoneMessages:  353-0844

            E-mail:  systeven@msu.edu

            Webpage:  http://www.math.msu.edu/~systeven

            CourseNotes: 

                  http://www.math.msu.edu/~systeven/MTH114synotes.pdf

 

 

Text:  Trigonometry:  A Graphing Approach by Larson, Hostetler,and Edwards,              

            4th edition,Houghton-Mifflin, 2005

Calculator: Agraphing calculator is optional for this course.  We recommend the TI 83+.

 

Course Plan: 

  1. FAST! review of function concepts from MTH103; Rational Functions
  2. Wrapping Function, and definitions of the trigonometric functions
  3. Graphing Trigonometric Functions
  4. Verifying Trigonometric Identities
  5. Solving Capital Trig Problems; Inverse Trig Problems and Identities
  6. Solving Trigonometric Equations
  7. Right Triangle Trigonometry
  8. Solving Oblique Triangles
  9. Polar Coordinates

 

Grading Scale: The grading scale will be no worse than what is shown in the tablebelow.

 

                        90-100%        4.0                                           65-72%          2.0

                        85-89%          3.5                                           60-64%          1.5

                        79-84%          3.0                                           55-59%          1.0

                        73-78%          2.5                                           0-54%             0.0

 

 

 

Method of Grading: For this class, the actual work done on problems is oftenmore important to me when I grade than the correct answer.  In fact, in some circumstances, answersthat are correct, but contain insufficient work will receive no credit.  Therefore, all problems should have theirsolutions written in a well-organized, logical, presentation-style format.

 

 

 

 

 

Evaluation:   

Attendance:                                    35 pts

                 Quizzes:                                       140 pts   (35 pts per quiz)

                   Exams:                                         300 pts   (100pts per exam)

                   FinalExam:                                  200 pts

                   Total                                                675 pts

 

Grade Calculation:  Tocalculate your grade at any given time, add the points

you’ve earned so far and then divide by the total possible at thatpoint.  Then, look up your grade in thegrading scale.

 

Attendance:  Due to the class format and the summer pace,students are required to attend class. Attendance will be taken repeatedly throughout the class.  To earn attendance, students must be presentfor the entire class.  You will earn 1 ptfor each hour in attendance, so 36 attendance points are possible (out of 35).  There will no “make-up” exams or  quizzes. Advance travel schedules (business or personal) are NOT excuses.

 

Quizzes and Exams:  These will be given on the daysindicated in the syllabus.  

Quizzes and Examswill cover only material on the preceding days, and will cover

a random sampling ofthe topics listed below.

 

Topics for Quizzes and Exams:

 

Quiz 1:  Functions,Vertical Line Test, Notation, Evaluation, Difference Quotient, Domain, Range,Transformation of Functions, Even and Odd Functions, Decomposition of Functions,Combination of Functions, Domain Issues, Inverses, One-to-One Functions,One-to-One Tests, Finding Inverses, Domain/Range of the Inverse Function,Capital Functions and their Inverses, Rational Functions:  Asymptotes and Graphs

 

Exam 1: Topics from Quiz 1, Revolutions on the Number Line, The WrappingFunction, Evaluating w at multiples of π, π/2, π/4, π/6,π/3, Definitions of the 6 Trig Functions, Evaluation of 6 trig functionsat multiples of π, π/2, π/4, π/6, π/3, Domain andRange of Trig Functions, 

2π-periodicity of sine and cosine, Even/Odd Behavior of Trig Functions,Reciprocal and Quotient Identities, Pythagorean Identities

 

Quiz 2:  Graphsof sine/cosine, Amplitude/Period, Phase Shift, General Transformations of sine/cosine,Tides, Graphs of the Other Trig Functions, Damped Trig Graphs, Simple HarmonicMotion & Frequency, Simplifying and Factoring Using (Basic) Trig Identities

 

Exam 2: Topics from Quiz 2, Verifying (Basic) Trig Identities, Verifying TrigIdentities, Sum and Difference Formulas: Derivation and Evaluation, Sum and Difference Formulas:  Cofunction Identities, Reduction Formulas,Verifying Trig Identities with Sum and Difference Formulas, Double AngleFormulas, Power Reducing Formulas, Half-Angle Formulas, Verifying TrigIdentities with Double Angle/Power Reducing and Half-Angle Formulas

 

Quiz 3:  Product-to-SumFormulas, Sum-to-Product Formulas, Verifying Identities Using Product-to-Sumand Sum-to-Product Formulas, Capital Trig Functions and Problems

 

Quiz 4:  InverseTrig Functions, Inverse Trig Graphs, Inverse Trig Evaluation, Inverse TrigProblems, Inverse Trig Identities, Solving Trig Equations

 

Exam 3: Topics from Quizzes 3 and 4, Solving Trig Equations Using Sum andDifference Formulas, Solving Trig Equations Using Double Angle/Half-AngleFormulas, Solving Trig Equations Using Sum-to-Product Formulas, HarmonicCombination, Solving Trig Equations Using Harmonic Combination, “GeneralAngles”, Radians,  Coterminal Angles,Degrees & Conversion, Arc Length Formula, Right Triangle Trig, SolvingRight Triangles, Bearings, Slope, Angle Between Two Lines

 

Final Exam: (comprehensive) Topics from Exams 1, 2, and 3, Law of Sines, Law ofCosines, Mollweide’s Formula, Law of Tangents, Solving Oblique Triangles:  AAS, ASA, SSA (Ambiguous Case), SSS, SAS,Applications, Area of an Oblique Triangle, Heron’s Formula, Polar Coordinates,Graphs of Polar Equations

 

The comprehensive finalexam will be held on Wednesday, June 28, from 10:20am-12:10pm. The room will be the same as the regular class time,

C-316 Wells Hall.

 

Equipment:  Ascientific calculator with trigonometric functions will be required for thefinal exam.  Calculators such as the TI89/92 or laptop or palmtop computers are not to be used for any gradedassignment in this course.  Theinstructor will be using the TI 83+. If you have a different calculator, you are responsible for knowing howto use it.  Only a pencil (or pen)will be required for all other exams and quizzes.  Any use of texts, notes, “crib sheets”, listsof information concealed in calculators, etc. as an aid in writing quizzes or examsis specifically prohibited in this course. 

 

Make-up policy:  Therewill be no make-up exams.  Unlessa valid excuse is presented in advance with proper official writtenverification, a missed exam will receive the score 0.  There are no make-ups for quizzes.

 

Grade-change policy: If you have any questions regarding the grading of any of yourexaminations, you should return the examinations to your teacher and attachshort note with your questions before leaving the classroom, and plan tospeak with your teacher about your concerns during the office hours.

 

Math Learning Center:  The Math Learning Centeropens Tuesday, May 16 and is available for additional help.  The Math Learning Centerwill be open Monday through Thursday 4:00pm to 7:00pm.  All tutoring takesplace in A-135 Wells Hall.

 

 

 

 

 

 

 

Integrityof Scholarship and Grades

 

All students are expected to adhere to the University’spolicy concerning academic integrity.  Itis covered in the Spartan Life booklet under General StudentRegulations.  According to thehandbook,

 

            “…nostudent shall claim or submit the work of another as one’s own.” 

 

For more information about this and other scholarshipissues, please consult the handbook or visit the Spartan Life web site at http://www.vps.msu.edu/Splife/rule32.htm.

 

 

 

 

 

 

 

 

 

 

Important Dates

 

 

1.)  First day of classes for First Half Session—MondayMay 15

2.)  Close of computer/telephone enrollment for FirstHalf Session—Wednesday May 17

3.)  Last day to late add or change sections in A212 WH--Friday May 19

4.)  Last day to drop back at A212 WH to anapproved lower-level course – Thursday May 25

5.)  End of 100% refund period for First Half Session—ThursdayMay 25

6.)  Memorial Day,University closed—Monday May 29

6.)  Middle of First Half Session--Wednesday June  7--Last day for withdrawal or dropping FirstHalf Session courses with no grade reported. 

7.)  End of First Half Session--Thursday June 29

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Detailed CourseSchedule

 

  DAY           TOPICS (BRIEF)                         NOTES                                 BOOK

1

Mon

05/15

MTH103 Review

0.1, 0.2, 1.1

1.2, 1.3, 1.4, 1.5

 

 

 

WED

05/17

MTH103 Review

1.6, 1.7, 1.8, 1.9

1.10, 1.11, 1.12, 1.13, 1.14

 

 

 

FRI

05/19

Rational Functions

2.1, 2.2

2.3

 

 

2

MON

05/22

Wrapping Function, w

3.1, 3.2

3.3, 3.4

Quiz

1

 

 

WED

05/24

More on w, Def of Trig

Basic Trig Facts

3.5, 3.6

3.7, 3.8, 3.9, 3.10

 

 

1.2

 

FRI

05/26

Graphing Sinusoids

And Phenomena

 

4.1, 4.2, 4.3

Exam 1

 

1.5

3

MON

05/29

NO CLASS

(Memorial Day)

 

 

 

 

WED

05/31

Graphing Other Trig

SHM & Frequency

4.4, 4.5, 4.6

4.7, 4.8, 5.1

 

 

1.6,  1.8,2.1

 

FRI

06/01

Verify Trig Identities

Sum and Diff Formula

5.2

5.3

Quiz

2

2.2,

2.4

4

MON

06/05

Double & Half Angle

Verify Trig Identities

5.4, 5.5, 5.6

5.7, 5.8

 

2.4,

2.5

 

WED

06/07

Product/Sum Formula

Verify Trig Identities

 

5.9, 5.10, 5.11

Exam

2

 

2.5

 

FRI

06/09

Capital Trig Functions

Capital Trig Problems

6.1, 6.2

6.3

 

 

5

MON

06/12

Inverse Trig Function

Inverse Trig Problems

6.4

6.5

Quiz

3

1.7

 

WED

06/14

Inverse Trig Identities

Trig Equations

6.6, 6.7

6.8

 

 

2.3

 

FRI

06/16

Trig Equations, Harmonic C., Angles

6.9

6.10, 7.1

Quiz

4

2.4,2.5

1.1

6

MON

06/19

Right Triangle Trig

Lines, Oblique Laws

7.2

7.3, 7.4

 

1.3,1.8

3.1,3.2

 

WED

06/21

Solving Oblique Triangles

 

7.5, 7.6

Exam 3

3.1,

3.2

 

FRI

06/23

Area of a Triangle,

Polar Coordinates

7.7, 8.1

8.2, 8.3, 8.4

 

3.2,

6.2

7

MON

06/26

Polar Graphs

Review for Final

8.5

 

 

6.3

 

WED

06/28

 

 

Final Exam

 

 

FRI

06/30

NO CLASS