Friday, September 19, 2014

Partial Derivities Library Learning Links: Examples. Problems, Sollutiions, Practive Tests and Calculators

The topic of partial derivatives are part of third semester Calculus taught at Junior Colleges, State Colleges and Universities in California. Partial derivatives are used to analyze multivariable functions. In graphic design, multivariate functions of two variables are used to illustrate a variety of architectural, patternistic and mechanical, and abstract 2D and 3D building blocks.

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Partial Derivatives Solved Problems, Examples with Solutions

Title: Paul's Online Math Notes. Partial Derivitives, URL: http://tutorial.math.lamar.edu/Classes/CalcIII/PartialDerivatives.aspx

Multivariable Derivatives, Center for Math
URL: http://www.centerofmath.org/mc_pdf/sec2_1.pdf

Partial Derivative Examples and a Quick Review of Implicit Differentation, University of Washington
URL: http://www.centerofmath.org/mc_pdf/sec2_1.pdf

Partial Derivatives, Harvard University
URL: http://www.math.harvard.edu/archive/21a_spring_09/PDF/11-02-03-partial-derivatives.pdf

The Gradient and Directional Derivative
URL: http://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/vcalc/grad/grad.html

Tangent Planes and Total Differentials
URL: http://math.oregonstate.edu/home/programs/undergrad/CalculusQuestStudyGuides/vcalc/tangent/tangent.html

Partial Differentation, Chapter 14
URL: https://www.whitman.edu/mathematics/multivariable/multivariable_14_Partial_Differentiation.pdf

Functions of Two Variables
URL: http://www.mast.queensu.ca/~math122/Notes/notes15_a.pdf

Partial Derivatives
URL: http://math.ucsd.edu/~wgarner/reference/math10c_su10/lectures/partial_derivatives.pdf

Level Curves, Partial Derivatives, Week 16
URL: http://www.mast.queensu.ca/~math122/Notes/notes16_a.pdf

Thomas Calculus Early Transcendentals, Chapter 14
URL: http://withg.org/parkerlreed/Thomas%20Calculus%2012th%20Edition%20Textbook.pdf

Higher Order Partial Derivatives
URL: http://www.mast.queensu.ca/~math122/Notes/notes19_a.pdf

Tangent Planes, Functions of Many Variables, and Vectors in R2 and R3
URL: http://www.mast.queensu.ca/~math122/Notes/notes17_a.pdf

Directional Derivatives and the Gradient, the Chain Rule
URL: http://www.mast.queensu.ca/~math122/Notes/notes18_a.pdf

Partial Derivative Applications, Rate of Change
URL: http://www.usna.edu/MathDept/_files/documents/labs/hill/Application.html

Partial Derivatives, Differential and Local Linear Approximations
URL: http://math.sci.ccny.cuny.edu/document/show/2213

Higher Partial Derivatives and Optimization, Maximum and Minimum Word Problems
URL: http://www.mast.queensu.ca/~math122/AssignmentSolutions/sol_s15_02_qa.pdf


Partial Derivative Practice Tests
Partial Derivative Practice Test with Solutions
URL: http://people.whitman.edu/~hundledr/courses/M225S09/Exam2QuesSOL.pdf
URL: http://www.santarosa.edu/~gsturr/M1C/M1CHandouts/EXAMS/Sample%20Exams/M1C_Exam1_F13_KEY.pdf
URL: http://ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/2.-partial-derivatives/exam-2/practice-exam/


Online Partial Derivative Calculators
Symbolab Partial Derivative Calculator with Steps and 3D Graphcs
URL: http://symbolab.com/solver/partial-derivative-calculator/%5Cfrac%7Bd%7D%7Bdx%7D(sin(x%5E%7B2%7Dy%5E%7B2%7D))/?origin=examples

EDU Resource Partial Derivative Calculator
URL: http://calculators.edu-resource.com/math/partial-derivative-calculator.php

Texas Instruments, TI89, Taking Partial Derivatives with the TI-89 Calculator
URL: https://www.youtube.com/watch?v=ap1-D0yzYZQ

Analyzing Multivariable Change, Optimization (with the TI-83 Calculator)
URL: http://college.cengage.com/mathematics/latorre/graphing/TI/8283/8283-Cpt10.pdf

Partial Derivatives Videos
Threads: Multivariable Calculus
URL: http://mathinsight.org/thread/multivar

Partial Derivative Keywords
Levels
Surface Levels
Differentials
Chain Rule
Gradients

Applications of Partial Derivatives

  • Tangent Planes and Linear Approximations 
  • Gradient Vector
  • Tangent Planes and Normal Lines 
  • Relative Minimums and Maximums 
  • Absolute Minimums and Maximums
  • Lagrange Multipliers


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