Trigonometry Syllabus for 2013-2014
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Course

MATH-1316-DC014 Trigonometry

Prerequisites

MATH 1414-minimum grade of C or Department Chair consent

Course Description

In-depth study and applications of trigonometry including definitions, identities, inverse functions, solutions of equations, graphing and solving triangles. Additional topics such as vectors, polar coordinates and parametric equations may be included.

Student Resources Student Resources Website

Department Expectations

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Hours

(3 sem hrs; 3 lec)

Class Type

Dual Credit Course

Syllabus Information

Textbooks

Precalculus: Mathematics for Calculus, fifth ed. Stewart et al, , 2006, Brooks Cole.

Supplies

Textbook, three-ring binder, notebook paper, pencils, erasers, calculator.

Student Performance

LEARNING OBJECTIVES:  Upon successful completion of this course, students will:

  1. Compute the values of the trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
  2. Graph trigonometric functions and their transformations.
  3. Prove trigonometric identities.
  4. Solve trigonometric equations.
  5. Solve right and oblique triangles.
  6. Use the concepts of trigonometry to solve applications.

Students Rights and Responsibilities

Student Rights and Responsibilities

Log in using the AC Connect Portal

In order to receive your AC Connect Email, you must log in through AC Connect at https://acconnect.actx.edu .

If you are an active staff or faculty member according to Human Resources, use "Exchange". All other students, use "AC Connect (Google) Email".

Expected Student Behavior

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Grading Criteria

Each six-weeks grade will be based on the following weights: 

            Homework:     1 grade

            Quizzes:       2 grades

            Tests:       3 grades

            Mid-term exam:  6 grades

 

 

Twenty five percent of each semester grade comes from the six-weeks grades.  The remaining 25% will be from the comprehensive semester exam.

 

Quizzes are open-note and open book and will be unannounced.  Tests will be closed book and closed-note.  The full class period will be allotted to tests.  A final exam will be given.  All makeup quizzes and tests must be taken within one school day (not class period) of the student’s return.  It is the student’s responsibility to schedule makeup work with the instructor. 

 

An average of these grades will determine the final grade. 

            A: 90 – 100%

            B:  80-89%

            C:  70-79%

            D: 60-69%

            F:  59% or lower

Attendance

You are expected to attend every class.  If you are going to miss a class, pick up the assignment ahead of time.  The assignment will be due the next class period.  Excused absences due to illness will require that assignments missed are due the next class period.  Assignments due on the date of the absence are due the first class period the student returns.

Calendar

Plane Trigonometry

Spring, 2014 Schedule of topics

 

You must work at least 4 problems (any 2 from each of the first two groups) to get a grade of 80.  To get a grade above an eighty, you must work the problem in the third group.  More may be worked for extra credit ONLY if one from the third group is worked.  Extra problems are worth 10 points each.

1/6: Intro to course.

         HW: read & Watch video 11.1

Chapter 11 Sequences and Series

1/7 Summation notation section 11.1; p. 830 prob. (4,8,16),(26,34,42),76

         HW: Read & Watch video 11.2

1/8 Arithmetic sequences section 11.2; p. 837 prob. (4,8,16),(42,46,54),60

         HW: Read & Watch video 11.3 pt 1

1/9 Geometric sequences section 11.3; p. 844 prob. 5,16,24,36,38 ALL

         HW: Watch Video sect 11.3 pt 2

1/10 Geometric sequences section 11.3; p. 844 prob. 44,48,68,72,78 ALL

         HW: read & Watch video 11.4

1/13 Financial Math section 11.4; p. 853 prob. 4,10,14,20,22  WORK ALL

         HW: Read & Watch video 11.6 pt 1

1/14 Binomial theorem section 11.6; p. 868 prob. 6,8,12,16,18  WORK ALL

HW: Watch Video 11.6 pt 2

1/15 Binomial theorem section 11.6; p. 868 prob. (24,28,36),(40,42,46),52

         HW: Watch Video Chapter test

1/16 Chapter Review

         HW: p. 870-873

1/17 Chapter Test

         HW: Read and view video Section 5.1

 

Chapter 5 Introduction to Trig Functions

1/20: Unit circle p. 406; 8,10,14,16,18 WORK ALL

         HW: None

1/21:  Terminal points Section 5.1 p.407; (20,24,28); (36,44,48);54

         HW:  Read Section 5.2 and video 5.2 basics and examples

1/22: Basic Trig Functions. Section 5.2 p. 416; (2,10,18);(30,32,38);40

         HW: Video basic trig identities introduction  and examples

1/23:  Basic Trig identities.  Sect 5.2 p. 417;(48,56,58);(62,66,68);82

         HW:  Read Section 5.3 and video intro and examples; 

1/24:  sine & cosine Graphs.  Section 5.3

p. 429;(4,6,10);(18,24,28);36

         HW:  sine & cosine graphs second lesson

1/27: sine & cosine Graphs.  Section 5.3 p. 429; (46,50,58);(60,64,72);82

         HW:  Other Trig Graphs

1/28:  other trig graphs  Section 5.4 p. 441; (10,14,18);(20,42,46);54

         HW:  Read Section 5.5 and video;

1/29:  Harmonic motion.  Section 5.5 p. 451; (4,6,8);(10,16,20);26

         HW:  None

1/30:  Harmonic motion:  section 5.5 p. 451; 34,36,42,44,46 ALL

         HW:  None

1/31:  Fitting Sinusoidal Curves p. 459-465 prob. 4,6,8

HW: None

2/3:  Chapter Review

         HW:  p. 454-457.  Study for Test

2/4:  Chapter Test

         HW:  Read Section 6.1 and video 6.1 pt 1

 

Chapter 6 Trig Functions of Angles

2/5:  Angle measure:  Section 6.1 p.474;(2,8,12);(14,20,22;28

         HW:  video 6.1 pt 2

2/6: angular physics p. 475;(50,54,58);(64,68,70);82

         HW:  Read 6.2 and video 6.2;

2/7:  Right Triangle Trig.  Section 6.2 p. 484;(10,12,14);(24,26,34);62

         HW:  Read 6.3 and video sect 6.3;

2/10:  Trig Functions of angles.  Section 6.3 p. 495; (4,12,18);( 26,34,40);62

         HW:  Read section 6.4 and video;

2/11:  Law of sines.  Section 6.4 p. 506;(4,6,10);(12,14,16);42

         HW: video law of sines ambiguous case

2/12:  Law of Sines – ambiguous cases.  Section 6.4 p. 506;24,26,28,34 ALL

         HW:  Read section 6.5 and video;

2/13:  Law of Cosines p. 513 (4,6,16),(20,24,26);44

         HW:  Video area of triangles

2/14:  Early Release

2/18: areas of triangles  Section 6.5 p. 514 28,32,46,50 ALL

         HW: None

2/19:  Focus On Modeling:  Surveying  p. 522-525 2,4,6

2/20:  Chapter Review

         HW:  p. 516-519

 

2/21:  Chapter Test

         HW:  Read 7.1 and video

 

Chapter 7 Analytic Trigonometry

2/24:  Trig Identities.  Section 7.1 p. 533;(2,8,10);(16,20,26);30

         HW:  Video 7.1 pt 2

2/25:  Verifying Trig identities.  Section 7.1 p. 533;(42,50,58);(66,68,84);92

         HW:  Read Section 7.2 and video;

2/26:  Add & sub identities.  Section  7.2 p. 539; (6,10,12);(18,22,32);56

         HW:  Read section 7.3 and video 7.3 pt 1;

2/27:  Double & half-angle Section 7.3 p. 548; (6,8,14);(20,24,30);36

         HW: Video 7.3 pt 2

2/28:  Sum-to-product & product-to-sum.  Section 7.3

p. 548;(44,50,54);(66,68,78);90

         HW:  Read 7.4 and video;

3/3:  Inverse Trig functions  Section 7.4 p. 557;( 10,12,16);(20,24,30);48

         HW:  Read Section 7.5 and video pt 1;

3/4:  Trig Equations  Section 7.5 p. 568;(4,6,10);(22,2636);44

         HW:  Video Sect 7.5 pt 2

3/5:  Solving Trig Equations  Section 7.5 p. 569;(60,68,74);(75,76,78);82

         HW:  None

3/6: Chapter Review

         HW:  p. 571 – 573

3/7:  Chapter Test

         HW:  Read 8.1 and video

3/8- 3/16:  Spring Break

 

3/17:  Review for midterm

3/18 & 3/19:  Midterm exam (counts as two tests, closed note on one part)

 

Chapter 8 Polar Coordinates

3/20:  Polar Coordinates Section 8.1 p. 586;(2,4,6);(8,10,12);(14,18,20)

         HW:  Video 8.1 pt 2

3/21:  Polar Equations Section 8.1 p. 587;(36,38,40);(42,44,46);(48,50,58)

         HW:  Read Section 8.2 and video 

3/24:  Graphs of Polar Eqns  Section 8.2 p. 594:(2,4,6);(8,12,14);(16,20,26)

         HW:  Video 8.2 pt 2

3/25: Graphs of Polar Eqns  Section 8.2

p. 595;(30,32,34,36);(44,46,48,50);(54,56)

         HW:  Read Section 8.3 and video;

 

3/26:  Polar forms of complex numbers.  Section 8.3

p. 603;(2,4,6,8);(12,14,16);(26,40,42)

         HW:  Video sect 8.3 DeMoivre

3/27:  DeMoivre’s Theorem  & complex arithmetic Section 8.3

p, 604;(50,56,60,64);(66,70,80,82);(90,96)

HW:  Read Section 8.4 and video;

3/28:  Vectors.  Section 8.4 p. 615;(4,6,10);(14,18,20,22);(24,26)

         HW:  Video sect 8.4 pt 2

3/31:  Vector Applications Section 8.4 p. 616;(40,42);(44,46);(48,50)

         HW:  Video force equilibrium

4/1:  Force Equilibrium  Section 8.4 p. 617; Work all of 52,54,56,58

         HW: None

4/2: Navigation Group Projects

         HW:  Prepare for presentation

4/3:  Presentation of navigation projects

         HW:  Read section 8.5 and video 8.5 pt 1

4/4:  Dot Product  Section 8.5 p. 624;(2,4,6,8);(10,12,14);(16,18)

         HW:  Video 8.5 pt 2

4/7:  Dot product Apps pt 1  Section 8.5 p. 624;(20,22);(24,26,28);(36,38)

         HW: Video 8.5 pt 3

4/8: Dot product Applications pt 2  Section 8.5

p. 625 Work All problems 40,42,44,46

         HW:  None

4/9:  Chapter Review

         HW:  p. 627 – 629.

4/10:  Chapter Test

         HW: Read Section 10.1 and video assn 1

 

Chapter 9 Conic Section Transformations

4/11: Shifting Conics Section 10.4 p. 781; (2,4,6,8);(10,12,14);(16,18)

         HW:  Video10.4 assn 2

4/14: Shifting Conics Section 10.4 p. 782;(20,22,24);(26,28,30);(36)

         HW:  Video 10.4 assn 3

4/15: Shifting Conics Applications Section 10.4

Work All p. 782 problem 38,40

         HW:  Read Section 10.5 and video 10.5 assn 1;

4/16:  Rotation of Axes Section 10.5 p. 790;(2,4,6);(8,10,12);(36)

         HW:  video 10.5 assn 2

 

4/17: Rotation of Axes Section 10.5 p. 791;(14,18,20);(22,24,26);(28,30)

         HW:  Video 10.5 assn 3

4/21:  Rotation of Axes Section 10.5 Work all p. 791 problems 32,34

         HW:  Read section 10.6 and video assn 1;

4/22:  Polar equations of conics Section 10.6 p. 799;(2,4,6,8);(10,12,14);(28)

         HW:  Video 10.6 assn 2

4/23: Polar equations of conics Section 10.6 p. 800;(16,18);(20,22);(30)

         HW:  Read section 10.7 and video 10.7 assn 1;

4/24:  Parametric Equations Secn 10.7 p. 807;(2,6,8,12);(16,18,20,22);(54)

         HW:  Video 10.7 assn 2

4/25: Parametric Equations Section 10.7 p. 807;(24,26,28);(30,32,24);(60)

         Hw:  None

4/28: Chapter Review

         HW:  p. 810-815

4/29:  Chapter Test

         HW:  Read and watch Video Sect 12.1

 

Chapter 12 Limits

4/30:  Graphical Limits  secn 12.1  p.  889 (2,4,6),(8,12,14),24

HW:  Read and watch Video Sect 12.2

5/1:  Algebraic Limits Sect 12.2  p. 897 (4,8,10),(12,16,20),34

         HW:  Read and watch Video Sect 12.3

5/2:  Tangent Lines Sect 12.3  p. 906 (2,4,6),(10,12,14),28

         HW:  Read and watch Video Sect 12.4

5/5:  Infinite Limits  sect 12.4  p. 915 (2,8,10),(14,20,26),32

         HW:  Read and watch Video Sect 12.5

5/6:  Area Sect 12.5  p. 924 2,6,10,14  ALL

         HW:  None

5/7:  Interpretations of Area  p. 929-933 2,4

         HW:  None

5/8: Chapter Review

         HW:  p.925 -928

5/9:  Chapter Test

         HW:  Read and watch Video Sect 12.1

 

5/12 -5/13:  Semester Review

5/14 – 5/15: College Final

 

5/16-5/23:  Research

5/27-5/29: research presentation

Additional Information

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Syllabus Created on:

11/30/-1 12:00 AM

Last Edited on:

11/30/-1 12:00 AM