# 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
SamplesContinuity
SamplesDerivatives & Their Applixcations, Including Graphing
Given y= x² +4x+4    State y' and y''

Derivatives
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)

SamplesDifferentials
optimization
SamplesAntiderivatives, 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

SamplesFundamental Theorem of Calculus
SamplesVelocity and Net Change
SamplesInverse Functions
SamplesLogarithmic 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

SamplesDifferential Equations
SamplesNumerical Integration