Trigonometry Syllabus for 2014-2015
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Course

MATH-1316-DC014 Trigonometry

Prerequisites

Prerequisite: 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

After successfully completing this course, the student will be able to demonstrate knowledge of the following topics as evaluated by the faculty in the department/program:

  • Compute the values of trigonometric functions for key angles in all quadrants of the unit circle measured in both degrees and radians.
  • Graph trigonometric functions and their transformations.
  • Prove trigonometric identities.
  • Solve trigonometric equations.
  • Solve right and oblique triangles.
  • 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

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

Chapter 5 Introduction to Trig Functions

1/19: Unit circle p. 406; 6,12,14,16,18 WORK ALL

          HW: None

1/20:  Terminal points Section 5.1 p.407; (20,22,26); (34,40,50);56

          HW:  Read Section 5.2 and video 5.2 basics and examples

 

1/21: Basic Trig Functions. Section 5.2 p. 416; (2,8,22);(28,30,36);44

          HW: Video basic trig identities introduction  and examples

1/22:  Basic Trig identities.  Sect 5.2 p. 417;(46,50,54);(60,64,70);80

          HW:  Read Section 5.3 and video intro and examples; 

1/23:  sine & cosine Graphs.  Section 5.3 p. 429;(2,8,12);(16,22,32);40

          HW:  sine & cosine graphs second lesson

1/26: sine & cosine Graphs.  Section 5.3 p. 429; (42,52,58);(62,66,70);78

          HW:  Other Trig Graphs

1/27:  other trig graphs  Section 5.4 p. 441; (8,12,22);(26,40,50);56

          HW:  Read Section 5.5 and video;

1/28:  Harmonic motion.  Section 5.5 p. 451; (2,8, 12);(14,18,22);28

          HW:  None

1/29:  Harmonic motion:  section 5.5 p. 451; 30,32,36,42,44 ALL

          HW:  None

1/30:  Fitting Sinusoidal Curves p. 459-465 prob. 2,6,9

HW: None

2/: 2 Chapter Review

          HW:  p. 454-457.  Study for Test

2/3:  Chapter Test

          HW:  Read Section 6.1 and video 6.1 pt 1

 

Chapter 6 Trig Functions of Angles

2/4:  Angle measure:  Section 6.1 p.474;(4,10,12);(16,24,26);30

          HW:  video 6.1 pt 2

2/5: angular physics p. 475;(36,48,50);(54,60,68);84

          HW:  Read 6.2 and video 6.2;

2/6:  Right Triangle Trig.  Section 6.2 p. 484;(6,8,12);(20,28,36);64

          HW:  Read 6.3 and video sect 6.3;

2/9:  Trig Functions of angles.  Section 6.3 p. 495; (2,6,10);( 20,24,38);66

          HW:  Read section 6.4 and video;

2/10:  Law of sines.  Section 6.4 p. 506;(2,6,8);(10,14,16);36

          HW: video law of sines ambiguous case

2/11:  Law of Sines – ambiguous cases.  Section 6.4 p. 506;20,22,24,26 ALL

          HW:  Read section 6.5 and video;

2/12:  Law of Cosines p. 513 (2,10,14),(18,22,24);40

          HW:  Video area of triangles

2/13:  Early Release

2/17: areas of triangles  Section 6.5 p. 514 30,32,34,44 ALL

          HW: None

 

2/18:  Focus On Modeling:  Surveying  p. 522-525 2,4,6

2/19:  Chapter Review

          HW:  p. 516-519

2/20:  Chapter Test

          HW:  Read 7.1 and video

 

Chapter 7 Analytic Trigonometry

2/23:  Trig Identities.  Section 7.1 p. 533;(4,6,12);(14,18,24);32

          HW:  Video 7.1 pt 2

2/24:  Verifying Trig identities.  Section 7.1 p. 533;(44,52,60);(64,72,86);94

          HW:  Read Section 7.2 and video;

2/25:  Add & sub identities.  Section  7.2 p. 539; (2,8,14);(24,26,36);54

          HW:  Read section 7.3 and video 7.3 pt 1;

2/26:  Double & half-angle Section 7.3 p. 548; (2,6,16);(22,28,32);38

          HW: Video 7.3 pt 2

2/27:  Sum-to-prod & prod-to-sum.  Sect 7.3 p. 548;(42,48,54);(64,66,80);94

          HW:  Read 7.4 and video;

3/2:  Inverse Trig functions  Section 7.4 p. 557;(4,8,14);(18,28,34);46

          HW:  Read Section 7.5 and video pt 1;

3/3:  Trig Equations  Section 7.5 p. 568;(2,8,12);(20,24,32);46

          HW:  Video Sect 7.5 pt 2

3/4:  Solving Trig Equations  Section 7.5 p. 569;(58,62,70);(74,78,80);84

          HW:  None

3/5: Chapter Review

          HW:  p. 571 – 573

3/6:  Chapter Test

          HW:  Read 8.1 and video

 

3/9:  Review for midterm

3/10 & 3/11:  Midterm exam (counts as two tests, closed note on one part)

 

Chapter 8 Polar Coordinates

3/12:  Polar Coordinates Section 8.1 p. 586;(2,4,6);(8,10,12);(16)

          HW:  Video 8.1 pt 2

3/13:  Polar Equations Section 8.1 p. 587;(32,34,36);(44,48,52);(60)

          HW:  Read Section 8.2 and video 

3/16- 3/20:  Spring Break

3/23:  Graphs of Polar Eqns  Section 8.2 p. 594:(2,4,6);(10,14,18);(22)

          HW:  Video 8.2 pt 2

 

3/24: Graphs of Polar Eqns  Section 8.2 p. 595;(26,30,34);(42,46,52);(56)

          HW:  Read Section 8.3 and video;

3/25:  Polar forms complex #s.  Section 8.3 p. 603;(6,10,12);(18,22,28);(40)

          HW:  Video sect 8.3 DeMoivre

3/26:  DeMoivre’s Theorem  Section 8.3 p. 604;(52,62,66);(68,74,86);(94)

HW:  Read Section 8.4 and video;

3/27:  Vectors.  Section 8.4 p. 615;(2,8,12);(16,18,22);(26)

          HW:  Video sect 8.4 pt 2

3/30:  Vector Applications Section 8.4 p. 616;38,44,46,50 work all

          HW:  None

3/31:  Navigation Group Projects

          HW:  Prepare for presentation

4/1:  Presentation of navigation projects

HW:  Video force equilibrium

4/2:  Force Equilibrium  Section 8.4 p. 617; Work all of 52,54,56,58

          HW:  Read section 8.5 and video 8.5 pt 1

4/3:  Early release

4/6:  Dot Product  Section 8.5 p. 624;(4,6,8);(10,12,14);22

          HW:  Video 8.5 pt 2

4/7:  Dot product Apps pt 1  Section 8.5 p. 624;(24,26,28);(32,34,36);38

          HW: Video 8.5 pt 3

4/8: Dot product Apps pt 2  Section 8.5 p. 625 Work All 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

4/13: Shifting Conics Section 10.4 p. 781; (2,4,8);(10,12,14);(16,18)

          HW:  Video10.4 assn 2

4/14: Shifting Conics Section 10.4 p. 782;(20,22,24);(26,30, 32);(36)

          HW:  Video 10.4 assn 3

4/15: Shifting Conics Apps 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);(34)

          HW:  video 10.5 assn 2

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

          HW:  Read section 10.6 and video assn 1;

 

4/20:  Polar equations of conics Section 10.6 p. 799;(2,4,6);(8,12,14);(26)

          HW:  Video 10.6 assn 2

4/21: Polar equations of conics Section 10.6 p. 800;(16,18);(20,24);(28)

          HW:  Read section 10.7 and video 10.7 assn 1;

4/22:  Parametric Equations Secn 10.7 p. 807;(4,10,14);(16,20,22);(52)

          HW:  Video 10.7 assn 2

4/23: Parametric Equations Section 10.7 p. 807;(24,26,28);(30,32,34);(62)

          Hw:  None

4/24: Chapter Review

          HW:  p. 810-815

4/27:  Chapter Test

          HW:  Read and watch Video Sect 12.1

 

4/28 -4/29:  Semester Review

4/30 – 5/1: College Final

 

Additional Information

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Syllabus Created on:

11/30/-1 12:00 AM

Last Edited on:

11/30/-1 12:00 AM