Class 
Class Videos 
Other Videos 
Apps 
1/3 
Functions: domain, range, vertical line test. 



Functions: even/odd symmetry, piecewise functions, difference quotient. 
Short: function notation 



Short: domain and range 



Lecture: Functions, domain and range. 





1/4 
More on lines, other graphs, graph transformations 
Short: The Slope of a Line 



Lecture: Piecewise functions, graph transformations. 


Combining functions (arithmetically and composition), inverse functions 
Short: Composition of Functions 



Short: Inverse functions 



Lecture: more graph transforms, inverse functions. 





1/5 
Recitation #2 (functions) 
Short: Definition of Sine and Cosine (in Right Triangles) 


more on inverses. Degree and Radian measure 
Short: The SOH CAH TOA mnemonic 
App: SohCahToa 

The unit circle, definition of trigonometric functions 
Lecture: Introduction to Trigonometry. 



Short: Trig values for special angles 



Lecture: Righttriangle Trigometry. 
App: Values on the unit circle 


Short: The unit circle and trigonometry 
App: Trigonometric functions on the unit circle 


Short: Radian measure 
App: Radian measure 


Lecture: Radian measure and trig on the unit circle. 





1/6 
More trigonometry (including basic identities, periodicity, etc) 
Lecture: Simple trig identities. 


Reference angles, exact values of trig functions at special angles 
Short: Graphs of sine and cosine 
App: Trigometric functions and their graphs 

graphs of trig functions, transformations of trig graphs 
Lecture: Other trig functions & graphs of sine and cosine. 
App: Transformations of trig graphs 



App: 40 trig graph transformation problems 




1/10 
Recitation #3 (mostly trig) 



Graphing trig functions 

App: quadratic graphs 

Quadratic functions, graphing, completing the square 
Lecture: Lines, circles, and parabolas. 
App: completing the square 



App: Conic sections: circles, ellipses, and parabolas 




1/11 
Polynomials, zeroes, and graphs 



Intermediate Value Theorem, polynomial division 
Lecture: Exponents, ellipses, and polynomial division. 


Exponential Functions 
Lecture: Exponentials and logarithms. 





1/12 
Midterm  no videos today 






1/13 
Logarithms 
Short: What is a logarithm? 


More Logarithms 
Short: Rules for manipulating logarithms 


(discussion of grading) solving equations 
Lecture: Graphs and solving equations. 



Lecture: more equation solving; review. 





1/17 
(went over midterm) Recitation 
Lecture: Compound interest, e, and the natural logarithm. 
App: Exponential growth 

Compound Interest, Exponential Growth 
Short: Exponential growth and decay 
App: Exponential decay 

Exponential Decay, Trig Identities 
Lecture: Exponential growth/decay problems and logs. 





1/18 
Sum and Difference formula for trig, solving trig equations 
Lecture: Angle sum, double angle, and halfangle formulae 


Rational functions 
Short: Rational functions 



Lecture: Rational functions. 





1/19 
Review for final 



Review for final, continued 



Review for final, conclusion 






1/20 
Final Exam 








Lecture: Trigonometry review, Law of Sines. 
App: Law of Sines 


Lecture: Law of sines, Law of cosines, and inverse trig functions. 
App: Law of Cosines 


Lecture: Inverse trig functions. 



Lecture: More trig&inverse trig; basic graphs. 



Lecture: A garden of graphs. 



Lecture: Review for midterm 



Lecture: More review. 



Lecture: more review 



Lecture: Review (logs & exponentials) 



Lecture: Review for midterm 2. 



Review Session Final Review 
