Class videos.
The lectures are from the MW 5:30-6:50 class by David Kahn; the material covered should be the same as in the the other lectures, although of course with a slighty different presentation.The other videos are short supplemental videos, covering basic concepts which are used in the lectures.
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Definition of Sine and Cosine (in Right Triangles) (
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The SOH CAH TOA mnemonic ()
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Lecture 01: Introduction to Trigonometry.
August 24, 2015 (,
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Trig values for special angles ()
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Lecture 02: Right-triangle Trigometry.
August 26, 2015 (, )
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The unit circle and trigonometry ()
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Radian measure ()
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Lecture 03: Radian measure and trig on the unit circle.
August 31, 2015 (, )
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Lecture 04: Simple trig identities.
September 2, 2015 (, )
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Lecture 05: Other trig functions & graphs of sine and cosine.
September 9, 2015 (, )
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Graphs of sine and cosine ()
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Function notation ()
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Domain and range ()
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Lecture 06: Functions, domain and range .
September 14, 2015 (, )
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Composition of Functions ()
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Lecture 07: Composition of functions.
September 16, 2015 (, )
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Lecture 08: Piecewise functions, graph transformations.
September 21, 2015 (, )
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Inverse Functions ()
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Lecture 09: more graph transforms, inverse functions.
September 23, 2015 (, )
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Lecture 10b: Review for first midterm.
September 26, 2016 (, )
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Lecture 11: More review.
September 30, 2015 (, )
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The Slope of a Line ()
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Lecture 12: Lines, circles, and parabolas.
October 5, 2015 (, )
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Rules of Exponents ()
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Lecture 13: Exponents, ellipses, polynomial division.
October 7, 2015 (, )
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Rational functions ()
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Lecture 14: Rational functions.
October 12, 2015 (, )
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What is a logarithm? ()
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Rules for manipulating logarithms ()
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Lecture 15: Exponentials and logarithms.
October 14, 2015 (, )
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Lecture 16: Compound interest, e, and the natural logarithm.
October 19, 2015 (, )
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Exponential growth and decay ()
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Lecture 17: Exponential growth/decay problems and logs.
October 21, 2015 (, )
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Lecture 18: Review (logs & exponentials) .
October 26, 2015 (, )
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Lecture 19: Review for midterm 2.
October 28, 2015 (, )
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Lecture 20: Trigonometry review, Law of Sines.
November 2, 2015 (, )
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Lecture 21: Law of sines, law of cosines, inverse trig functions.
November 4, 2015 (, )
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Lecture 22: Inverse trig functions.
November 9, 2015 (, )
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Lecture 23: Angle sum, double angle, and half-angle formulae.
November 11, 2015 (, )
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Lecture 24: More trig&inverse trig; basic graphs.
November 16, 2015 (, )
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Lecture 25: A garden of graphs.
November 18, 2015 (, )
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Lecture 26: Graphs and solving equations.
November 23, 2015 (, )
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Lecture 27: more equation solving; review.
November 30, 2015 (, )
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Lecture 28: more review.
December 2, 2015 ()
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Final Review: .
December 7, 2015 ()
- Midterm 1 Review: . February 24, 2019
Applets
These are interactive pages to let you play with some of the ideas.- Radian Measure
- Values on the unit circle
- Trigonometric functions on the unit circle
- Trigometric functions and their graphs
- Transformations of graphs
- 40 trig graph transformation problems
- Conic sections: circles, ellipses, parabolas, and hyperbolas
- Graphs of quadratic functions
- Completing the square
- exponential growth
- exponential decay
- the Law of Sines
- the Law of Cosines