Calc I Notes   © 2019 A²

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Samples Set 1	1. Pre Calculus
Simplify:       a.) -6 [ -3 - 2(5 - 3)]       b.) 1 - cos2 Graph:       y = 3x + 4 Expand & Simplify:       log(100x2/z) Explain:       a.) asymptote       b.) end behavior	Graph papers       Three Trig Planes Graph Paper Calculator Reference 1 - Change Mode, Store Number, Evaluate Expression .gif   Calculator Reference 2 - Zooming Feature .htm     Calculator Reference 3 - Solve an Equation w/Solver .gif   Calculator Reference 4 -- Derivative, Numerical Integration Laws of Exponents & Logs Cheat Sheets of Trig Identities Sheet 1 - Pythagorean Identities, Cofunctions, Odd/Even Functions Sheet 2 - Sine, Cosine, & Tangent of the Sums & Differences Sheet 3 - Double & Half Angle Formulas Trig Stuff - Veronica's Bow Tie & All Students Take Calculus
Samples Set 2	2. Limits
Show the algebra and calculus required to prove:	Take the limit as x approaches ...
Samples Set 3	3. Continuity
Samples Set 4	4. Derivatives
Given y= x² +4x+4     State y' and y''	TI Derivative, Definite Integral Program Derivatives Implicit Differentiation Parent Functions, Their Slope Functions, and Area Functions Use a Pencil to Take a Derivative or Antiderivative of Sine & Cosine Functions Arithmetic -- Integration Tricks/Techniques Calculator Reference 4 - Derivatives and Numerical Integration
Samples Set 5	5. Applications of Derivatives
	Related Rates
Samples Set 6	6. Using Derivatives to Graph Functions
	On DerAnyFx, use 3 - any f(x): x, f(x), f'(x), f''(x) for First & Second Derivative Tests
Samples Set 7	7. Differentials
Samples Set 8	8. Antiderivatives
Simplify.	TI Derivative, Definite Integral Program Use a Pencil to Take a Derivative or Antiderivative of Sine & Cosine Functions
Samples Set 9	9. Areas
	Calculator Reference 4 -- Derivative, Numerical Integration ReimannSums.gsp -- n=8 and 32 LEFT, RIGHT, MIDPOINT slide [a,b] and set [a,b] ReimannSumNotes.pdf -- for taking notes in class and 4 questions (graphics included) Parent Functions, Their Slope Functions, and Area Functions
Samples Set 10	10. Definite Integrals
	Casa Omar Connect-the-Dots TI Derivative, Definite Integral Program Calculator Reference 4 -- Derivative, Numerical Integration
Samples Set 11	11. Fundamental Theorem of Calculus
Samples Set 12	12. Velocity and Net Change
Samples Set 13	13. Derivatives by Substitution Rule
Samples Set 14	14. Inverse Functions
Samples Set 15	15. Logarithmic and Exponential Functions
	Exponential or Power Functions exp2.xls Program to "Find" e A Bit about e, the base of the Natural Logs Even More About e, the base of the Natural Logs Linear vs Exponential Growth Log Papers
Samples Set 16	16. Exponential Models
Samples Set 17	17. Differential Equations
Samples Set 18	18. Numerical Integration

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