Calc I Notes   © 2019 A²

Instant Reference Material:

Graphs of "all" precalc & calc I functions     Summary of "all" functions     The Library of Functions     Symbols & words in gif format

This Stuff Looks Like:	Topics and Links
Samples	. 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 - Derivatives and 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	Limits
Show the algebra and calculus required to prove:	Take the limit as x approaches ... Limits connect-the-dots
Samples	Continuity
Samples	Derivatives & Their Applixcations, Including Graphing
Given y= x² +4x+4    State y' and y''	Derivatives Derivative of Sine & Cosine   -- full blown 4-page sketches ** Use this Derivatives connect-the-dots Calculator Reference 4 - Derivatives and Numerical Integration     TI Derivative, Definite Integral Program Parent Functions, Their Slope Functions, and Area Functions Use a Pencil to Take a Derivative or Antiderivative of Sine & Cosine Functions Derivative &Antiderivative Cheat Sheets-- derivatives, Trig and Hyperbolic Integrations       pdf format page 1 jpg   page 2 jpg   page 3 jpg   page 4 jpg Derivative Calculator at https://www.derivative-calculator.net/
	Implicit Differentiation
	Related Rates
	First & Second Derivative Tests use DerAnyFx, use 3 - any f(x): x, f(x), f'(x), f''(x)
Samples	Differentials
	optimization
Samples	Antiderivatives, Antiderivatives by Substitution Rule, Definite Integrals, Areas
	ReimannSums.gsp -- n=8 and 32 LEFT, RIGHT, MIDPOINT slide [a,b] and set [a,b] ReimannSumNotes.pdf -- for taking notes
Simplify	TI Derivative, Definite Integral Program Casa Omar -- Antiderivative connect-the-dots Integral Calculator at https://www.integral-calculator.com/
	Arithmetic -- Integration Tricks/Techniques
	Take an Antiderivative by Substitution
	Parent Functions, Their Slope Functions, and Area Functions
Samples	Fundamental Theorem of Calculus
Samples	Velocity and Net Change
Samples	Inverse Functions
Samples	Logarithmic and Exponential Functions & Models
	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	Differential Equations
Samples	Numerical Integration

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