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.
- Definition of Sine and Cosine (in Right Triangles) ()
- The SOH CAH TOA mnemonic ()
- Lecture 01: Introduction to Trigonometry. August 24, 2015 (, )
- Trig values for special angles ()
- Lecture 02: Right-triangle Trigometry. August 26, 2015 (, )
- The unit circle and trigonometry ()
- Radian measure ()
- Lecture 03: Radian measure and trig on the unit circle. August 31, 2015 (, )
- Lecture 04: Simple trig identities. September 2, 2015 (, )
- Lecture 05: Other trig functions & graphs of sine and cosine. September 9, 2015 (, )
- Graphs of sine and cosine ()
- Function notation ()
- Domain and range ()
- Lecture 06: Functions, domain and range . September 14, 2015 (, )
- Composition of Functions ()
- Lecture 07: Composition of functions. September 16, 2015 (, )
- Lecture 08: Piecewise functions, graph transformations. September 21, 2015 (, )
- Inverse Functions ()
- Lecture 09: more graph transforms, inverse functions. September 23, 2015 (, )
- Lecture 10b: Review for first midterm. September 26, 2016 (, )
- Lecture 11: More review. September 30, 2015 (, )
- The Slope of a Line ()
- Lecture 12: Lines, circles, and parabolas. October 5, 2015 (, )
- Rules of Exponents ()
- Lecture 13: Exponents, ellipses, polynomial division. October 7, 2015 (, )
- Rational functions ()
- Lecture 14: Rational functions. October 12, 2015 (, )
- What is a logarithm? ()
- Rules for manipulating logarithms ()
- Lecture 15: Exponentials and logarithms. October 14, 2015 (, )
- Lecture 16: Compound interest, e, and the natural logarithm. October 19, 2015 (, )
- Exponential growth and decay ()
- Lecture 17: Exponential growth/decay problems and logs. October 21, 2015 (, )
- Lecture 18: Review (logs & exponentials) . October 26, 2015 (, )
- Lecture 19: Review for midterm 2. October 28, 2015 (, )
- Lecture 20: Trigonometry review, Law of Sines. November 2, 2015 (, )
- Lecture 21: Law of sines, law of cosines, inverse trig functions. November 4, 2015 (, )
- Lecture 22: Inverse trig functions. November 9, 2015 (, )
- Lecture 23: Angle sum, double angle, and half-angle formulae. November 11, 2015 (, )
- Lecture 24: More trig&inverse trig; basic graphs. November 16, 2015 (, )
- Lecture 25: A garden of graphs. November 18, 2015 (, )
- Lecture 26: Graphs and solving equations. November 23, 2015 (, )
- Lecture 27: more equation solving; review. November 30, 2015 (, )
- Lecture 28: more review. December 2, 2015 ()
- 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