Trigonometry Syllabus for 2011-2012
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Instructor Information
Instructor
De-Vonna Clark (Curriculum Vitae)Office Hours
Course Information
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Course
MATH-1316-026 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
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
Degree/Radian conversion
Reference and terminal angles
Definitions of six circular trig functions
Week 2...Circular Trig...Jan 16-20
Trig function values for special angles
Angular velocity
Area of sectors and triangles
Week 3...Triangle Trig...Jan 23-27
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 30-Feb3
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 6-10
Graphing sine and cosine
Amplitude, period, and phase shift on trig functions
Week 6...Trig Graphs...Feb 13-17
Equations of trig functions from graphs
Graphs of tangent, cotangent, secant, cosecant
Week 7...Finish Trig Graphs, Begin Trig Identities...Feb 20-24
Inverse trig functions
Principal values
Fundamental Trig identities—fundamental,
Week 8...Trig Identities...Feb 27-Mar2
Sum & difference identities
Odd & even and opposite angle identities
Verifying trig identities algebraically and graphically
Week 9...Trig Identities...Mar 5-9
Double angle & half angle identities
More verifying identities
Week 10...Trig Equations...Mar19-23
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 26-30
Solve trig equations graphically
Convert points between polar and rectangular notation
Convert equations between polar and rectangular notation
Week 12...Polar Graphs...Apr 2-6
Identify classic polar graphs from equations
Locate intersections on polar graphs
Arcs on Polar Graphs
Week 13...Finish Polar Graphs, Beginn Parametrics...Apr 9-13
Polar form of complex numbers
Product, quotient and powers of complex numbers in polar form
Motion defined parametrially
Week 14...Parametrics...Apr 16-20
Parametric polygons
Parametric inverses
Parametric vectors
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
Solve systems of 2nd degree equations algebraically and graphically
Week 16...Conic Sections...Apr 30-May 4
Parametric conics
Applications of conics
Quadric surfaces
Week 17...Introduction to Calculus...May 7-11
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 14-18
Applications to velocity and acceleration
Introduction to the concept of anti-derivative and accumulation
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