Trigonometry Syllabus for 2015-2016
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Instructor Information
Instructor
Melody Swauger (Curriculum Vitae)Office Hours
Course Information
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Course
MATH-1316-DC016 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: Graphical, Numerical, Algebraic, Demans, Waits, Foley, Kennedy, Seventh Edition, Addison Wesley Publishers
Supplies
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Attendance
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Calendar
LAST DAY TO DROP IS APRIL , 2016
Circular Trig, Triangle Trig, Trig Graphs, Trig Identities, Trig Equations, Polar Curves, Conic Sections, Intro to Calculus
The comprehensive final exam for this course will be given on the last regularly scheduled class day at Randall High School.
Week 1...Circular Trig...Jan 4-8
Degree/Radian conversion
Reference and terminal angles
Definitions of six circular trig functions
Week 2...Circular Trig...Jan 11-15
Trig function values for special angles
Angular velocity
Area of sectors and triangles
Week 3...Triangle Trig...Jan 18-22
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 25-29
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...Feb 1-5
Graphing sine and cosine
Amplitude, period, and phase shift on trig functions
Week 6...Trig Graphs...Feb 8-12
Equations of trig functions from graphs
Graphs of tangent, cotangent, secant, cosecant
Week 7...Finish Trig Graphs, Begin Trig Identities...Feb 15-19
Inverse trig functions
Principal values
Fundamental Trig identities—fundamental,
Week 8...Trig Identities...Feb 22-26
Sum & difference identities
Odd & even and opposite angle identities
Verifying trig identities algebraically and graphically
Week 9...Trig Identities...Feb 29 -Mar 4
Double angle & half angle identities
More verifying identities
Week 10...Trig Equations...Mar 7-11
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 21-25
Solve trig equations graphically
Convert points between polar and rectangular notation
Convert equations between polar and rectangular notation
Week 12...Polar Graphs...Mar 28- Apr 1
Identify classic polar graphs from equations
Locate intersections on polar graphs
Arcs on Polar Graphs
Week 13...Finish Polar Graphs, Beginn Parametrics...Apr 4-8
Polar form of complex numbers
Product, quotient and powers of complex numbers in polar form
Motion defined parametrially
Week 14...Parametrics...Apr 11-15
Parametric polygons
Parametric inverses
Parametric vectors
Week 15...Sequence and Series...Apr 18-22
Arithmetic and geometric sequence and series, partial sums
Infinite sum
Sigma Notation
Week 16...Sequence and Series...Apr 25-29
Ratio Test
Binomial Expansion
Limits
Week 17...Introduction to Calculus...May 2-6
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 9-13
Applications to velocity and acceleration
Introduction to the concept of anti-derivative and accumulation
Introduction to slope fields
Additional Information
No additional information available
Syllabus Created on:
11/30/-1 12:00 AM
Last Edited on:
11/30/-1 12:00 AM