Project Tasks	Possible Projects

    Calc I Notes   © 2019, 2021, 2022, 2023, 2024, A²

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:	indeterminant, "So, What's A Fraction? & Zero(s) In Fractions" 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 Web Page fX.f'X.f''X.intX.gsp Derivative Proofs     d(ex)/dx= ex       d( sin(x) )/dx = cos(x)   DerAnyFx.gps -- Derivative of Any Function * One may trace the function and see coordinates displayed. * One may edit the function. * One may graph the approximate derivative function. 1 - f(x) w/tangent line 2 - f(x) & TRACE 3 - any f(x): x, f(x), f'(x), f''(x) 4 - sin(x): x, f(x), f'(x), f''(x) Take A Derivative by Taking The Limit of A Difference Quotient tracef.f1.f2.f3.f4.gsp fX.f'X.f''X.intX.gsp Sing the Derivatives Video Derivatives connect-the-dots DerivSin   -- full blown 4-page sketches ** Use this 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/       Differentiation Rules
	Implicit Differentiation
	Related Rates
	Arc Functions & Their Derivatives
	Mean.Rolle.f'(x).f''(x).gsp - - interval, critical values, maximums, minimums, function emoji, Mean Value and Roll's Theorems, derivative tests Function & Graph Analysis - instructions on how to find extremes and perdict the future
	DerAnyFx.gsp, derivative/antiderivative plot of any function - any f(x): x, f(x), f'(x), f''(x), ∫, f(x)dx First & Second Derivative Tests   derivativeTests.gsp
	Function Emojis
	Optimization Quiz Grading Rubric, suggestions, problem 4.3.1, problem 4.3.2
Samples	Differentials
Samples	Antiderivatives, Definite Integrals, Areas
	A CUMULATIVE FUNCTION absement Sketchpad - absity, absement, displacement,velocity, acceleration, jolt, jounce, ... -- derivatives & antiderivatives of displacement nth derivatives of displacement - image absement definition - antiderivative of displacement, cumulative displacement Antiderivatives Notes & Material pdf file
	Intro2AntiDerivative.gsp 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 Antiderivatives / Integration Page including:       Arithmetic -- Integration Tricks/Techniques       Use Basic Geometry Rather Than Calc to Complete the Integration       Consider Using a Function in y rather than a Function in x       Sketchpads       JUSTdots.gsp -- Plots points on an antiderivative, no support pages       Justderivatives.gsp -- derivatives by definition, by tangent line, by traces of f', f'', f''', f''' (ideal for the trig cycle and for y=ex)       JUSTdotsWreview.gsp -- Plots points on an antiderivative, includes some support pages fX.f'X.f''X.intX.gsp  -- limits, emojis f' by tangent, trig memory, partitian, Reimann boxes, RLM =8, f(x) - g(x), input a, b, CUMULATIVE AREA probability fx, HISTORY sum to integral, INTEGRATION only, + c, FTI FTII, g(x), EXTRA integration by dots notes Casa Omar -- Antiderivative connect-the-dots Integral Calculator at https://www.integral-calculator.com/
	Take an Antiderivative by Substitution
	Parent Functions, Their Slope Functions, and Area Functions
Samples	Fundamental Theorem of Calculus
	FTC Summary Pg 1     FTC Summary Pg 2     FTC1and2.jpg 42deranti11.jpg w/Newton & Leibnitz image Statement of FTC I & II w/Newton & Leibnitz image Why + C image
Samples	Velocity and Net Change
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
Samples	History of Calculus
	Some Early Analytic Geometry History image Modern Evolution of Limit & Its Symbol image Cartesian Plane & Math History web page angle measure, pi, radian 50+ Centuries of Computation in a 21st-Century Format Ancient Egyptian Multiplication, Division, Root Extraction -- Computation The Calculus Controversy -- Gotthegist, Published on 20 May 2010 -- Who Created Calculus? video
Other Resources
	Equation solving calculator at https://www.symbolab.com/solver/equation-calculator/ Graphing Tool at https://goodcalculators.com/graphing-calculator/ Derivative Calculator at https://www.derivative-calculator.net/ Summation Calculator at https://goodcalculators.com/summation-calculator/ Integral Calculator at https://www.integral-calculator.com/ TI Derivative, Definite Integral Program. You write the TI84 program in your calculator. Student-Suggested Links, Spring 2021 Neil McPherson · Professor Leonard Calc I Playlist Kyle Leone · Differentials · integrals · Integration by substitution Sri Satya (Meena) Vellala · integrals · anti derivatives Isabel Sananes · related rates problem Kush Patel · Riemann sums Lectures & Videos: khanacademy.org/ (Doesn't use Internet Explorer. Use another browser.) mathispower4u.com/calculus.php myopenmath.com/, videos and problems w/answers calcvids.org/vids/

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