Trigonometry Syllabus for 2016-2017
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Course

MATH-1316-DC013 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

Occupational License Disclaimer

Hours

(3 sem hrs; 3 lec)

Class Type

Dual Credit Course

Syllabus Information

Textbooks

Precalculus: Graphical, Numerical, Algebraic, Demans, Waits, Foley, Kennedy, Seventh Edition, Addison Wesley Publishers

Supplies

REQUIRED MATERIALS:  graphing calculator, quad-ruled composition book, pencil, highlighter

Student Performance

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 trignonometric 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

 

Students are expected to follow the Ascension Academy Student Code of Conduct.

Grading Criteria

DAILY WORK: Practice is assignment daily and due the next class period.

QUIZZES: One to two unannounced quizzes will be give each unit.

TESTS: There will be 7 major unit tests and a comprehensive final.

GRADING: Daily work average = 20%, Quiz average = 40%, Test average = 40%

 

Attendance

Follow Ascension Academy attendance policies.

Calendar

LAST DAY TO DROP IS APRIL 21, 2017

Circular Trig, Triangle Trig, Trig Graphs, Trig Identities, Trig Equations, Polar Curves, Series and Sequence, Intro to Calculus

The comprehensive final exam for this course will be given according to the exam schedule at Ascension Academy.

Week 1...Circular Trig...Jan 3-6

Degree/Radian conversion

Reference and terminal angles

Definitions of six circular trig functions

 

Week 2...Circular Trig...Jan 9-13

Trig function values for special angles

Angular velocity

Area of sectors and triangles

 

 

Week 3...Triangle Trig...Jan 16-20

Right triangle solutions

Applications of right triangle

Solution of triangles using Law of Sines (ASA or AAS)

Solution of triangles using Law of Cosines (SSS or SAS)

 

 

Week 4...Triangle Trig...Jan 23-27

Solution of triangles—Ambiguous Case, multiple solutions

Applications of oblique triangles

Basic Vector notation, resolution into components, vector addition, and scalar multiplication

 

 

Week 5...Trig Graphs...Jan 30 – Feb 3

Graphing sine and cosine

Amplitude, period, and phase shift on trig functions

 

 

Week 6...Trig Graphs...Feb 6-10

Equations of trig functions from graphs

Graphs of tangent, cotangent, secant, cosecant

 

 

Week 7...Finish Trig Graphs, Begin Trig Identities...Feb 13-17

Inverse trig functions

Principal values

Fundamental Trig identities—fundamental,

 

 

Week 8...Trig Identities...Feb 20-24

Sum & difference identities

Odd & even and opposite angle identities

Verifying trig identities algebraically and graphically

 

 

Week 9...Trig Identities...Feb 27 – Mar 3

Double angle & half angle identities

More verifying identities

 

 

Week 10...Trig Equations...Mar 6-10

Solve simple (without identity substitutions) trig equations algebraically

Solve trig equations with identity substitutions algebraically

Solve trig equations with coefficient on the angle variable algebraically

 

 

Week 11...Finish Trig Equations, Begin Polar Graphs...Mar 20-24

Solve trig equations graphically

Convert points between polar and rectangular notation

Convert equations between polar and rectangular notation

 

 

Week 12...Polar Graphs...Mar 27-31

Identify classic polar graphs from equations

Locate intersections on polar graphs

Arcs on Polar Graphs

 

 

Week 13...Finish Polar Graphs, Beginn Parametrics...Apr 3-7

Polar form of complex numbers

Product, quotient and powers of complex numbers in polar form

Motion defined parametrially

 

 

Week 14...Parametrics...Apr 10-14

Parametric polygons

Parametric inverses

Parametric vectors

 

 

Week 15...Sequence and Series...Apr 17-21

Arithmetic and geometric sequence and series, partial sums

Infinite sum

Sigma Notation

 

 

Week 16...Sequence and Series...Apr 24-28

Ratio Test

Binomial Expansion

Limits

 

 

Week 17...Introduction to Calculus...May 1-5

Limits at a finite point and infinity—graphically  and algebraically

Derivatives of polynomials

Derivatives using product rule, quotient rule and simple chain rule

 

 

Week 18...Introduction to Calculus...May 8-12

Applications to velocity and acceleration

Introduction to the concept of anti-derivative and accumulation

Introduction to slope fields

 

Additional Information

Syllabus Created on:

01/19/17 3:52 PM

Last Edited on:

01/19/17 3:58 PM