Syllabus
Trigonometry

Trigonometry

MATH-1316

Fall 2010
08/23/2010 - 12/12/2010

Course Information

Section 001
Lecture
MW 1:25PM - 2:45PM
CYP5 2220
Robert Quigley

Section 008
Lecture
TTh 4:15PM - 5:35PM
CYP5 2220
Robert Quigley

Office Hours

No office hours have been entered for this term

Course Requirements

REQUIRED TEXTS/MATERIALS

Text:  Trigonometry, by Lial, Hornsby and Schneider, 9th edition (ISBN 0321528859) or

 

         Trigonometry, by Lial, Hornsby and Schneider, 9th edition, MyMathLabincluded (ISBN: 0321536002)

         at no extra charge. Course ID: acc03032

Suggested Assignments for MATH 1316 (Lial, et. al. 9th edition)

1.1:  # 1,5,11,13,17,19,21,23,24,25,29,31,33,35,37,45,49,53,59,61,63,65,73,81,87,89,93,95,97,101,
           103,105,107,109,115,117,119,123,125,127,129,130,133,134   
1.2:  # 1,3,5,11,13,15,17,21,23,25,27,37,39,41,45,51,57,67,69,74,75             
1.3:  # 1,3,5,9,11,15,21,22, 25-43,(odds),45,49,51,55,59,61,63,65,73,75,77,79,81,85,87,89,91,93,95,
           97-99,102,103,104 

1.4:  # 1,3,4,5,7,8,9,11,13,15,16,17,18,19,24,25,27,29,31,35,39,41,42,45,49,51,53,54,57,59,60,61,62,63,65,67,

           69,71,72,75,77,79,81,83,85,87,89,91,93,94,95,97

2.1:  # 5,13,21,2324,25,27,29,31,35,37-49,51,52,54,58,59-64,67,70-76,79,80,81,83

2.2:  # 5,6,7,8,10-17,19,21,27,30-33,37,44-47,52,54-57,59-65,67,69,71-82

2.3:  # 1,3,6,12,15,18,23,24,25,29,30,31,33,36,37,41,43,44,46,47,55,56,57,59,61,63,65,67

2.4:  # 1,4,6,9,17,19,21,23,27,35,41,43,44,45,47,49,51,55

2.5:  # 1, 2,5,7,11,15,17,19,20,21,24,25,27,29,31,32,35,36,37,39        

3.1:  # 7, 13, 15, 17,21,25, 29,31, 33, 35,39,41, 43, 45,51, 53,55,56, 59,61, 63-83(odds), 84, 86,87

3.2:  # 3,5,7,11,15,19, 21, 25,27,29, 31,33,34,35,36, 37,39, 41,43,47, 49,51,53,55,57,58,61-66,71

3.3:  # 1,5,7,9,10,11,13,17,19,21,22,25,29,30,35,41,43,45,49,51,53,55,58,59,61,62,63,66,69,71,72,75,79,80

3.4:  # 1,5,8,10,15,25,26,29,33,35,37,38,40,42,43,44

4.1:  # 1,3,5,7,11,13,15,17,19,23,26,27,29,31,33,37,39,41,43,45,47,48,49,50,51,55,57-61, 63-66

4.2:  # 1-25,27,29,31,33,35,37,39,43,45,47,49,51,53,55,57,58

4.3:  # 1-6,7,9,11,12,13,17,19,21,23,25,26,29,32,33-36,38,39,41,43,45

4.4:  # 1-5, 7,9,11, 13, 15,17,19-24,27,31,33

4.5:  # 1,3,5,7,9,11,13,15,17,19,21

5.1:  # 1,2,4,5,7,9,11,13,15,17,19,21,22,23,25,27,29,31,33-37,45,49,51,53,57,63,66,68,69,77

5.2:  # 1,3,5,13,15,17,19,21,27,31,33,35,37,39,41,43,45,47,49,51,53,59,61,63,65,93,94

5.3:  # 5,9,11,13,27,29,33,35,37,39,47,49,52,53,55,63,65,67

5.4:  # 1,3,5,7,11,15,17,23,27,31,38,41,43,47,50,52,53,55,57,61,67-73

5.5:  # 1,5,9,13,15,17,19,21,25,29,30,37,41,45,49,51,53

5.6:  # 3,9,11,15,19,21,23,27,29,33,35,39,49,51,55,57,62-70

6.1:  #13-26,35,38,43,46,47,49,50,55,57,58,59,61,62,74,75,77,79,80,81,83,84,85,87,88,89,91,93,95,97,99,

          101,102,103,105,109

6.2:  # 11,13,15,17,19,21,23,25,27,31,33,35,41-43,47,52,53,56,58

6.3:  # 7,9,16,19,21,23,25,27,33,36,37,39,40,41,43,46,47

6.4:  # 5,7,9,11,15,17,23,25,27,29,31,33,35,37,38,49,51,52,53

7.1:  # 3,7,9,15,28,29,37,41,43,47,49,51,52,55

7.2:  # 3,5,7,9,13,17,27,35,37

7.3:  # 9,13,20,35,39,41,52,53,57,59,61,71,73,77,79,81,85

7.4:  # 1,2,5,8,9,10,11,15,29,33,35,37,38,43,51,53,62,67,69,71,75,77,81,83,85,87,89,91,93-98

7.5:  # 3,5,7,9,10,15,19,21,23,24,25,26,27,29,31

8.5:  # 3,5,7,9,13,19,21,23,25,37,39,41,45,47,49,53,59,63,67,73,75

8.6:  # 2,3,5,9,11,13,15,19,23,25,27,31,33,35,39,41,45

The following sections are optional

8.2:  # 3,4,7,9,15,18,19,25,27,29,32,33,35,39,43,45,47,48,49,51,53,59,60,61,63

8.3:  # 3,9,11,15,19,21,25,29

8.4:  # 1,5,13,15,19,20,27,29,31,33,34,36,39,41

Additional non MyMath Lab exercises are located at www.austincc.edu/mthdept5/mman08/cdocs/trigexer

Readings

Optional materials:

  • MyMathLab online software (includes an electronic version of the text, multimedia learning aids such as videos and animations, and practice tests that generate a personalized study plan)  To use MyMathLab, you'll need your own access number and the Course ID. Course ID accTBA
  • Student Solution Manual, 9th ed.  (ISBN: 0321530403)

 

Purchase options:

  • Purchase the required textbook alone, either used or new, from a local bookstore.
  • The publisher provides a value package to the bookstores for the same price as the new textbook alone.  The value package includes a new copy of the required text and MyMathLab software access code.  These will be available in the local bookstores.  The ISBN for this package is  0321536002
  • MyMathLab can be purchased alone online for $75 from http://www.mymathlab.com/buying.html

 

.

 

 

 

 

 

Calculator: Students need either a scientific or business calculator. If a student cannot purchase one, calculators are available from the library. Graphing calculators are NOT required, but you will use graphing technology in some sections of the book. Most ACC faculty are familiar with the TI family of graphing calculators. Hence, TI calculators are highly recommended for student use. Other calculator brands can also be used. Your instructor will determine the extent of calculator use in your class section.

 

 

INSTRUCTIONAL METHODOLOGY

This course is taught in the classroom primarily as a lecture/discussion course.

 

COURSE RATIONALE

This course, intended for mathematics, science, and engineering majors, is designed to prepare students for the calculus sequence.  The six trigonometric functions are studied with the goals of developing a deeper understanding of both general function behavior and periodic function behavior, exploring those applications that have trigonometric models, and acquiring further proficiency with symbolic manipulation.

 

Tests:  There will be four or five tests and/or projects during the semester, including a final exam given during class on the last day of class.  A student who misses a test can have the final exam count for the missed test.  All tests will be averaged to determine your final grade.

 

Grading scale:                        90-100 A,      80-89 B,      70-79 C,     60-69 D,      Below 60 F

 

Time:  You cannot learn mathematics by listening to someone talk about it.  You learn math by thinking about and working on mathematical problems.  This takes time.  If you allow yourself plenty of time to think about the material, you will find it much more interesting and enjoyable.  A reasonable amount of time (for any college class, but especially for math) is two hours outside of class for every hour in class.  You have made your schedule this semester to include on that schedule certain regular hours for study--six hours per week for each of your classes.  If you not do this, you will not do as well in school as you are capable of and you will find it more frustrating than it should be.

 

Homework/Attendance/Class Participation :  All students will be required to keep a homework notebook which will be Turned in at the time of each test.  I will also check daily homework on a periodic basis.  Your homework, attendance, and class participation will be worth 10% of your final grade. Attendance is required in this course.

 

 

Attendance Policy:   Attendance is required in this course.  Students who miss more than 5 classes may be withdrawn although the instructor makes no commitment to do so.

 

Withdrawal Policy: It is the student's responsibility to initiate all withdrawals in this course.  The instructor may withdraw students for excessive absences (5) but makes no commitment to do this for the student. After the last day to withdraw, (11/18/10), neither the student nor the instructor may initiate a withdrawal.

 

Incomplete Grade Policy: Incomplete grades (I) will be given only in very rare circumstances. Generally, to receive a grade of "I", a student must have taken all examinations, be passing, and after the last date to withdraw, have a personal tragedy occur which prevents course completion.     

Statement on Scholastic Dishonesty

Acts prohibited by the college for which discipline may be administered include scholastic dishonesty, including but not limited to, cheating on an exam or quiz, plagiarizing, and unauthorized collaboration with another in preparing outside work.  Academic work submitted by students shall be the result of their thought, work, research or self-expression.  Academic work is defined as, but not limited to, tests, quizzes, whether taken electronically or on paper; projects, either individual or group; classroom presentations; and homework.

 

Statement on Scholastic Dishonesty Penalty

Students who violate the rules concerning scholastic dishonesty will be assessed an academic penalty that the instructor determines is in keeping with the seriousness of the offense. This academic penalty may range from a grade penalty on the particular assignment to an overall grade penalty in the course, including possibly an F in the course. ACC's policy can be found in the Student Handbook under Policies and Procedures or on the web at:

http://www.austincc.edu/handbook

 

 

Statement on Student Discipline

Classroom behavior should support and enhance learning. Behavior that disrupts the learning process will be dealt with appropriately, which may include having the

student leave class for the rest of that day. In serious cases, disruptive behavior may lead to a student being withdrawn from the class. ACC's policy on student

discipline can be found in the Student Handbook under Policies and Procedures or on the web at: http://www.austincc.edu/handbook

 

Statement on Academic Freedom

 

Institutions of higher education are conducted for the common good.  The common good depends upon a search for truth and upon free expression.  In this course the professor and students shall strive to protect free inquiry and the open exchange of facts, ideas, and opinions.  Students are free to take exception to views offered in this course and to reserve judgment about debatable issues. Grades will not be affected by personal views.  With this freedom comes the responsibility of civility and a respect for a diversity of ideas and opinions.  This means that students must take turns speaking, listen to others speak without interruption, and refrain from name-calling or other personal attacks.

 

Statement on Students with Disabilities

 

Students who are requesting accommodation must provide the instructor with a letter of accommodation from the Office of Students with Disabilities (OSD) at the beginning of the semester. Accommodations can only be made after the instructor receives the letter of accommodation from OSD.

 

 

 
 

 

TESTING CENTER POLICY: ACC Testing Center policies can be found at:

 

ACCTesting Centerpolicies can be found at: http://www.austincc.edu/testctr/    

 

STUDENT SERVICES:  The web address for student services is:  http://www.austincc.edu/support

The ACC student handbook can be found at:  http://www.austincc.edu/handbook

Course Subjects

Calendar/Syllabus/Suggested Testing Schedule:

MATH 1316 TRIGONOMETRY COURSE SCHEDULE

Week

Section

Subject Matter

 

1

1.1

Angles

 

1.2

Angle Relationships and Similar Triangles

 

2

1.3

Trigonometric Functions

 

1.4

Using the Definitions of the Trigonometric Functions

 

2.1

Trigonometric Functions of Acute Angles

 

3

2.2

Trigonometric Functions of Non-Acute Angles

 

2.3

Finding Trigonometric Function Values Using a Calculator

 

3.1

Radian Measure

 

4

3.2

Applications of Radian Measure

 

3.3

The Unit Circle and Circular Functions

 

3.4

Linear and Angular Speed

 

5

4.1

Graphs of the Sine and Cosine Functions

 

4.3

Graphs of the Tangent and Cotangent Functions

 

4.4

Graphs of the Secant and Cosecant Functions

 

6.1

Inverse Circular Functions

 

6

5.1

Fundamental Identities

 

5.2

Verifying Trigonometric Identities

 

7

5.2

Verifying Trigonometric Identities

 

8

5.3

Sum and Difference Identities for Cosine

 

5.4

Sum and Difference Identities for Sine and Tangant

 

9

6.2

Trigonometric Equations I

 

10

4.2

Translations of the Graphs of the Sine and Cosine Functions

 

4.5

Harmonic Motion

 

11

5.5

Double-Angle Identities

 

5.6

Half-Angle Identities

 

12

6.3

Trigonometric Equations II

 

6.4

Equations Involving Inverse Trigonometric Functions

 

13

2.4

Solving Right Triangles

 

2.5

Further Applications of Right Triangles

 

14

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

 

15

8.5

Polar Equations and Graphs

 

8.6

Parametric Equations, Graphs, and Applications

 

16

 

Review

 

 

Final Exam

 
 

Please note: Schedule changes may occur during the semester. Any changes will be announced in class.

Student Learning Outcomes/Learning Objectives

COMMON COURSE OBJECTIVES:

  1. Compute the values of the six trigonometric functions for key angles measured in both degrees and radians.
  2. Graph all six trigonometric functions and their transformations.
  3. Use the basic trigonometric identities to verify other trigonometric identities.
  4. Solve trigonometric equations.
  5. Solve right and oblique triangles.
  6. Plot points and graph equations in the Polar Coordinate system.
  7. Graph pairs of parametric equations.
  8. Use the concepts of trigonometry to solve applied problems.

    Prerequisites for Calculus

     

    There are two calculus sequences at ACC (and at most colleges) -- Business Calculus and Calculus.  The prerequisite sequence is different for these.  Depending on background, students may start the prerequisite sequence at different places

     

    Intermediate Algebra (MATD 0390)

    Intermediate Algebra (MATD 0390)

    i

     

    i

    i

    College Algebra**(MATH 1314)

    i

     

    Math for Bus & Eco

    (MATH 1324)

    College Algebra

    (MATH 1314)

    *Trigonometry (MATH 1316)

     

    i        i

    i

    Business Calculus I (MATH 1425)

     

    Precalculus (MATH 2412)

    i

     

    i

    Business Calculus II (MATH 1426)

    Calculus I (MATH 2413)

     

    i

     

    Calculus II (MATH 2414)

     

    i

     

    Calculus III (MATH 2415)

     

     

    Where to start:  The only way that students may skip courses in a sequence is to begin higher in the sequence, based on current knowledge of material from high school courses. 

  9. A student who needs a review of high school Algebra II will start in Intermediate Algebra (or below.) 
  10. A student who completed high school Algebra II, but no higher, and whose assessment test score indicates that he/she remembers that algebra, will start in College Algebra or Math for Business & Economics.  A substantially higher assessment test score enables the student to start in Trigonometry.
  11. A student who completed some precalculus, elementary analysis, or trigonometry in high school, and whose assessment test score indicates that he/she remembers algebra, is eligible to start higher in the sequence than College Algebra.  Check the catalog or the math web page.***

 

* The material in the Trigonometry course requires that students are quite adept with the skills from high school Algebra II (Intermediate Algebra).  Some students will achieve that level of skill in the College Algebra course if their placement score is high enough, while others need an additional semester of work on algebra that is done in two courses, Intermediate Algebra and College Algebra. 

 

** Some students who are very successful in College Algebra are tempted to skip either Trigonometry or Precalculus and enroll in Calculus I. That is not acceptable.  Trigonometry topics are essential to success in Calculus, and while it is true that the topic list for Precalculus has only a few additions from the topic list for College Algebra, the level of sophistication of the presentation and the problems on all topics is greater in Precalculus. That increased sophistication is necessary for an adequate background for the Calculus sequence. ***

 

Notes about the Business sequence: TexasState Universityrequires Math for Business and Economics and Business Calculus I. Students who will attend the UT College of Business must complete the entire Business Calculus sequence before transferring. For more information, including requirements for UT economics students, see http://www.austincc.edu/mthdept2/notes/1425.html