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Math Support Center Capsules

Compact study capsules address topics from pre-calculus to calculus, provide another view of topics students often find troublesome and allow students to work at their own pace. Most of the legacy paper capsules have been scanned to $PDF$ PDF files for direct download by students. The files are on the department wiki at MSC.MscCapsules.

Table of Contents
Diagnostic Tests Math Survival Kit. Algebra Differential Equations Exponentials and Logarithms Functions Graphing Infinite Series Integrals Limits Logarithms Max-Min Problems Multiple Integrals Polar Coordinates Related Rates Row Reduction Trigonometry

Diagnostic Tests

$PDF$ MSC_Capsule-Algebra_and_Trig_Diagnostic_Tests.pdf: Cornell University Math Support Center Capsule: Algebra and Trig Diagnostic Tests from the Review Capsules
On-Line version of the Algebra self-diagnostic test

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$PDF$ MSC_Capsule-Algebra_Diagnostic_with_Solutions.pdf: Cornell University Math Support Center Capsule: Algebra Diagnostic Test with Solutions
$PDF$ MSC_Capsule-Trig_Diagnostic_with_Solutions.pdf: Cornell University Math Support Center Capsule: Trig Diagnostic Test with Solutions

Math Survival Kit.

$PDF$ MSC_Capsule-SurvivalKitForFirstYearMathemetics.pdf: Cornell University Math Support Center Capsule: Survival Kit for First Year Mathemetics
$PDF$ MSC_Capsule-Algebra_and_Trig_Diagnostic_Tests.pdf: Cornell University Math Support Center Capsule: Algebra and Trig Diagnostic Tests from the Review Capsules

Algebra

On-Line self-diagnostic test
$PDF$ MSC_Capsule-Basic_Algebra.pdf: Cornell University Math Support Center Capsule: Basic Algebra Review
$PDF$ MSC_Capsule-Completing_the_Square.pdf: Cornell University Math Support Center Capsule: Completing the Square
$PDF$ MSC_Capsule-Word_Problems_in_Algebra.pdf: Cornell University Math Support Center Capsule: Word Problems in Algebra

Differential Equations

$PDF$ MSC_Capsule-Differential_Equations.pdf: Cornell University Math Support Center Capsule: Differential Equations

Exponentials and Logarithms

$PDF$ MSC_Capsule-Exponents_and_Logs.pdf: Cornell University Math Support Center Capsule: Exponentials and Logarithmic Functions
$PDF$ MSC_Capsule-ExponentsAndIntegersAsExponents.pdf: Cornell University Math Support Center Capsule: Exponents and Integers as Exponents

Functions

$PDF$ MSC_Capsule-FormulasForMaxMinAndRelatedRates.pdf: Cornell University Math Support Center Capsule: Formulas for Max-Min and Related Rates
$PDF$ MSC_Capsule-Composite_Functions.pdf: Cornell University Math Support Center Capsule: Composite Functions

Graphing

$PDF$ MSC_Capsule-Graphs_You_Should_Know.pdf: Cornell University Math Support Center Capsule: Graphs You Should Know ( 1 Page )
$PDF$ MSC_Capsule-Graphing.pdf: Cornell University Math Support Center Capsule: Graphing
$PDF$ MSC_Capsule-Graphing_wth_Calculus.pdf: Cornell University Math Support Center Capsule: Graphing wth Calculus

Infinite Series

$PDF$ MSC_Capsule-InfiniteSeriesAndConvergence.pdf: Cornell University Math Support Center Capsule: Infinite Series and Convergence
$PDF$ MSC_Capsule-InfiniteSeriesSynopsis.pdf: Cornell University Math Support Center Capsule: Infinite Series Synopsis

Integrals

$PDF$ MSC_Capsule-Integrals.pdf: Cornell University Math Support Center Capsule: Applications of Integrals
$PDF$ MSC_Capsule-Techniques_of_Integration.pdf: Cornell University Math Support Center Capsule: Techniques of Integration
$PDF$ MSC_Capsule-ExponentialsLogarithmsIntegrationBySubstitution.pdf: Cornell University Math Support Center Capsule: Exponentials Logarithms Integration by Substitution
$PDF$ Integral_of_Secant_Rickey_and_Tuchinsky.pdf: An Application of Geography to Mathematics: History of the Integral of Secant

Limits

$PDF$ MSC_Capsule-Limits.pdf: Cornell University Math Support Center Capsule: Limits

Logarithms

$PDF$ MSC_Capsule-Logarithms.pdf: Cornell University Math Support Center Capsule: Logarithms

Max-Min Problems

$PDF$ MSC_Capsule-MaxMin_Problems.pdf: Cornell University Math Support Center Capsule: MaxMin Problems

Multiple Integrals

$PDF$ MSC_Capsule-MultipleIntegrals.pdf: Cornell University Math Support Center Capsule: Multiple Integrals

Polar Coordinates

$PDF$ MSC_Capsule-PolarCoordinates.pdf: Cornell University Math Support Center Capsule: Polar Coordinates

Related Rates

$PDF$ MSC_Capsule-Related_Rates.pdf: Cornell University Math Support Center Capsule: Related Rates

Row Reduction

MSC_Capsule-Row_Reduction_and_Gauss-Jordan_Elimination_for_Classroom_Use.pdf: Cornell University Math Support Center Capsule: Method of Gauss-Jordan Elimination for classroom use.
Minimize errors and maximize clarity when row reducing matrices with small integer values.

Trigonometry

$PDF$ MSC_Capsule-Trigonometry-A_Synopsis.pdf: Cornell University Math Support Center Capsule: Trigonometry Synopsis ( 1 Page )
$PDF$ MSC_Capsule-Trigonometry.pdf: Cornell University Math Support Center Capsule: Trigonometry
$PDF$ MSC_Capsule-Inverse_Trig_Functions.pdf: MSC_Capsule-Inverse_Trig_Functions.pdf

ElectricBoogaloo

-- DickFurnas - 30 Nov 2007

$PDF$ MSC_Capsule-CapsuleFeedback.pdf: Cornell University Math Support Center Capsule: Capsule Feedback
InverseTrigFunctions

$Compressed Zip archive$ MSC_Capsules_OCR.zip: Experimental OCR of the capsules

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