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MATH-1316-DC013 Trigonometry
Prerequisite: MATH 1414-minimum grade of C or Department Chair consent
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
(3 sem hrs; 3 lec)
Dual Credit Course
Precalculus: Graphical, Numerical, Algebraic, Demans, Waits, Foley, Kennedy, Seventh Edition, Addison Wesley Publishers
REQUIRED MATERIALS: graphing calculator, quad-ruled composition book, pencil, highlighter
PERFORMANCE/LEARNING OBJECTIVES: Upon successful completion of this course, students will:
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".
Students are expected to follow the Ascension Academy Student Code of Conduct.
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%
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
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