Trigonometry Syllabus for 2011-2012
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Instructor Information
Instructor
Melody Swauger (Curriculum Vitae)Office Hours
Course Information
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Course
MATH-1316-015 Trigonometry
Prerequisites
MATH 1314-minimum grade of C or Department Chair consent
Course Description
Trigonometric functions and graphs; triangle solutions; identities; equations; inverse functions; complex numbers and polar coordinates.
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
\ Circular Trig, Triangle Trig, Trig Graphs, Trig Identities, Trig Equations, Polar Curves, Conic Sections, Intro to Calculus
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\ 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 9-13
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Degree/Radian conversion
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Reference and terminal angles
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Definitions of six circular trig functions
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\\ Week 2...Circular Trig...Jan 16-20
\\ Trig function values for special angles
\\ Angular velocity
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Area of sectors and triangles
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\ Week 3...Triangle Trig...Jan 23-27
\\ Right triangle solutions
\\ Applications of right triangle
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Solution of triangles using Law of Sines (ASA or AAS)
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Solution of triangles using Law of Cosines (SSS or SAS)
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\\ Week 4...Triangle Trig...Jan 30-Feb3
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Solution of triangles—Ambiguous Case, multiple solutions
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Applications of oblique triangles
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Basic Vector notation, resolution into components, vector addition, and scalar multiplication
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\ Week 5...Trig Graphs...Feb 6-10
\\ Graphing sine and cosine
\\ Amplitude, period, and phase shift on trig functions
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\\ Week 6...Trig Graphs...Feb 13-17
\\ Equations of trig functions from graphs
\\ Graphs of tangent, cotangent, secant, cosecant
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\\ Week 7...Finish Trig Graphs, Begin Trig Identities...Feb 20-24
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Inverse trig functions
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Principal values
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\ Fundamental Trig identities—fundamental,
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\\ Week 8...Trig Identities...Feb 27-Mar2
\\ Sum & difference identities
\\ Odd & even and opposite angle identities
\\ Verifying trig identities algebraically and graphically
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\\ Week 9...Trig Identities...Mar 5-9
\\ Double angle & half angle identities
\\ More verifying identities
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\ Week 10...Trig Equations...Mar19-23
\\ Solve simple (without identity substitutions) trig equations algebraically
\\ Solve trig equations with identity substitutions algebraically
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Solve trig equations with coefficient on the angle variable algebraically
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\\ Week 11...Finish Trig Equations, Begin Polar Graphs...Mar 26-30
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Solve trig equations graphically
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\ Convert points between polar and rectangular notation
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Convert equations between polar and rectangular notation
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\\ Week 12...Polar Graphs...Apr 2-6
\\ Identify classic polar graphs from equations
\\ Locate intersections on polar graphs
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Arcs on Polar Graphs
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\\ Week 13...Finish Polar Graphs, Beginn Parametrics...Apr 9-13
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Polar form of complex numbers
\ Product, quotient and powers of complex numbers in polar form
\\ Motion defined parametrially
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\\ Week 14...Parametrics...Apr 16-20
\\ Parametric polygons
\\ Parametric inverses
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Parametric vectors
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\ Week 15...Conic Sections...Apr 23-27
\\ Find critical parts of circles, spheres, parabolas, ellipses, hyperbolas
\\ Distinguish between various conics from the equation, including conics with rotation
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\ Solve systems of 2nd degree equations algebraically and graphically
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\\ Week 16...Conic Sections...Apr 30-May 4
\\ Parametric conics
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Applications of conics
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Quadric surfaces
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\ Week 17...Introduction to Calculus...May 7-11
\\ Limits at a finite point and infinity—graphically and algebraically
\\ Derivatives of polynomials
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Derivatives using product rule, quotient rule and simple chain rule
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\\ Week 18...Introduction to Calculus...May 14-18
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Applications to velocity and acceleration
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Introduction to the concept of anti-derivative and accumulation
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Introduction to slope fields
Additional Information
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Syllabus Created on:
11/30/-1 12:00 AM
Last Edited on:
11/30/-1 12:00 AM