Project Tasks |
Possible Projects |
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
| ||||||||||
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 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
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 | ||||||||||
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
| ||||||||||
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
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, 2022, 2023, 2024, Agnes Azzolino, www.mathnstuff.com/math/calc/calc1.htm |