Calc I Notes   © 2019, 2021 A²

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1. (Section 1.3-1.6) Limits connect-the-dots 2. (Section 2.3) Statement of Basic Derivative BLANK       3. (Section 2.3) Statements of Basic Derivative and Antiderivatives, CHEAT SHEET 4. (Section 2.1-2.5) Derivatives Connect-the-dots 5. (Section 2.7) Pre Derivatives of Inverse Functions Review 6A. (Section 5.1-5.2) Casa Omar, Integration Connect-the-dots 6B. (Section 5.3) Summation Connect-the-dots 7. (Section 5.4) TI Calculator Calculus Functions Run as Graphing Features 8. (Section 5.4) TI Derivative, Definite Integral Program 9. (Section 5.4) TI Programming Menu & Keys Internet Calculators Derivative Calculator at https://www.derivative-calculator.net/       Integral Calculator at https://www.integral-calculator.com/ Instant Reference Material: Graphs of "all" precalc & calc I functions     Summary of "all" functions     The Library of Functions     Symbols & words in gif format   Other Resources 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''   Differentiation Rules Derivatives Web Page 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 derivativeTests.gsp fX.f'X.f''X.intX.gsp Derivatives 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/   Implicit Differentiation   Related Rates   Arc Functions & Their Derivatives 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 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 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 FTC Summary Pg 1     FTC Summary Pg 2 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 Samples History of Calculus The Calculus Controversy -- gotthegist, Published on 20 May 2010       and other youtube math videos 50+ Centuries of Computation in a 21st-Century Format Ancient Egyptian Multiplication, Division, Root Extraction -- Computation Other Resources   Calculators: TI Derivative, Definite Integral Program. You write the TI84 program in your calculator. Derivative Calculator at https://www.derivative-calculator.net/ Integral Calculator at https://www.integral-calculator.com/ 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/   © 2020, 2021, Agnes Azzolino,   www.mathnstuff.com/math/calc/calc1.htm