(25 intermediate revisions by 5 users not shown)
Line 1: Line 1:
<div style="font-family: Verdana, sans-serif; font-size: 14px; text-align: justify; width: 80%; margin: auto; border: 1px solid #aaa; padding: 1em;">
+
[[Category:Formulas]]
<center>'''If you enjoy using this collective table of formula, please consider  [https://donate.purdue.edu/DesignateGift.aspx?allocation=017637&appealCode=11213&amount=25&allocationDescription=RheaProjectMimiBoutin donating to Project Rhea]'''</center>
+
</div>
+
  
= Collective Table of Formulas and Properties=
 
This is a table of formulas collectively created by members of the Purdue community. Help someone tomorrow by adding a formula today!
 
  
To create a new sub-table, use the following template: [[Template_table_of_formulas|Template table of Formulas]]
+
<center><font size= 4>
 +
'''Collective Table of Formulas and Properties'''
 +
</font size>
  
=General Formulas=
+
with links to relevant Rhea tutorials and exercises.
*[[VectorFormulas|Vector Identities and Operator Definitions]] (used in [[ECE311]])
+
*[[Trigonometric_Identities|Trigonometric Identities]]
+
*[[ComplexNumberFormulas|Complex Number Identities and Formulas]]
+
*[[SignalDefinitions|basic signals and functions]] (used in [[ECE301]], [[ECE438]])
+
*[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]] (used in [[ECE301]], [[ECE438]])
+
  
=Calculus=
+
([[About collective table of formulas|about this table]])
*[[Table_of_derivatives|Derivatives]]
+
 
*[[Table_of_indefinite_integrals|Indefinite Integrals]]
+
</center>
*[[Table_of_definite_integrals|Definite Integrals]]
+
 
 +
----
 +
 
 +
= General Formulas  =
 +
 
 +
*[[Trigonometric Identities|Trigonometric Identities]]
 +
*[[ComplexNumberFormulas|Complex Number Identities and Formulas]]
 +
*[[SignalDefinitions|Basic signals and functions]] (used in [[ECE301]], [[ECE438]])
 +
*[[SignalMetricsFormula|Signal Metrics Definitions and Formulas]] (used in [[ECE301]], [[ECE438]])
 +
*[[Conversion Factors|Numbers and Conversions]]
 +
*[[Inequalities]]
 +
 
 +
----
 +
 
 +
= Calculus =
 +
 
 +
*[[Table of derivatives|Derivatives]]  
 +
*[[Table of indefinite integrals|Indefinite Integrals]]  
 +
*[[Table of definite integrals|Definite Integrals]]  
 
*[[PowerSeriesFormulas|Power Series]] (used in [[ECE301]], [[ECE438]])
 
*[[PowerSeriesFormulas|Power Series]] (used in [[ECE301]], [[ECE438]])
 +
*[[VectorFormulas|Vector Identities and Operator Definitions]] (used in [[ECE311]])
 +
*[[Vector_Derivatives_Cylindrical_Coordinates|Gradient, divergence, and curl in cylindrical coordinates]], by [[user:kcooley | K. Cooley]], proud member of [[Math_squad | the Math Squad]]
 +
----
  
=Transforms=
+
= Transforms  =
*1D Transforms
+
**[[Laplace_Transforms_Table|Laplace Transform Pairs and Properties]] (used in [[ECE301]], [[ECE438]])
+
**[[CT_Fourier_Transform_(frequency_in_radians_per_time_unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of radial frequency- in radians per time unit) (used in [[ECE301]])
+
**[[CT_Fourier_Transform_(frequency_in_hertz)|Continuous-time Fourier Transform Pairs and Properties]] (function of frequency f in hertz) (used in [[ECE438]])
+
**[[Table_DT_Fourier_Transforms|Discrete-time Fourier Transform Pairs and Properties]] (used in [[ECE301]], [[ECE438]])
+
**[[Discrete_Fourier_Transform_table| Discrete Fourier Transform Pairs and Properties]] (used in [[ECE438]])
+
**[[Z_Transform_table| Z Transform Pairs and Properties]] (used in [[ECE438]])
+
  
*2D Transforms
+
*1D Transforms  
**[[Continuous_Space_Fourier_Transform_(frequences_in_hertz)|Continuous Space Fourier Transform (2D Fourier transform; frequency in hertz)]] (used in [[ECE438]], [[ECE637]])
+
**[[Laplace Transforms Table|(bidirectional) Laplace Transform Pairs and Properties]] (used in [[ECE301]], [[ECE438]])
 +
**[[unidirectional_Laplace_Transform_Table|(unidirectional) Laplace Transform Pairs and Properties]]
 +
**[[CT Fourier Transform (frequency in radians per time unit)|Continuous-time Fourier Transform Pairs and Properties]] (function of radial frequency- in radians per time unit) (used in [[ECE301]])
 +
**[[CT Fourier Transform (frequency in hertz)|Continuous-time Fourier Transform Pairs and Properties]] (function of frequency f in hertz) (used in [[ECE438]])
 +
**[[Table DT Fourier Transforms|Discrete-time Fourier Transform Pairs and Properties]] (used in [[ECE301]], [[ECE438]])
 +
**[[Discrete Fourier Transform table|Discrete Fourier Transform Pairs and Properties]] (used in [[ECE438]])
 +
**[[Z Transform table|Z Transform Pairs and Properties]] (used in [[ECE301]], [[ECE438]], [[ECE438]])
  
=Probability=
+
*2D Transforms
*[[Probability Formulas]] (used in [[ECE600]])
+
**[[Continuous Space Fourier Transform (frequences in hertz)|Continuous Space Fourier Transform (2D Fourier transform; frequency in hertz)]] (used in [[ECE438]], [[ECE637]])
*[[Probability Distribution]] (used in [[ECE600]])
+
  
 +
----
  
=Conversion Factors=
+
= Probability  =
*[[Conversion Factors]]
+
  
=Inequalities=
+
*[[Probability Formulas]] (used in [[ECE302]] and [[ECE600]])
*[[Inequalities]]
+
*[[Probability Distribution]] (used in [[ECE302]] and [[ECE600]])
 +
 
 +
----
 +
 
 +
= Tricks and techniques  =
 +
 
 +
*[[Partial Fraction Expansion|A guide to partial fraction expansion]]
  
=Useful tricks and techniques=
 
*[[Partial_Fraction_Expansion|A guide to partial fraction expansion]]
 
 
----
 
----
[[Category:Formulas]]
 

Latest revision as of 14:44, 12 March 2015


Collective Table of Formulas and Properties

with links to relevant Rhea tutorials and exercises.

(about this table)


General Formulas


Calculus


Transforms


Probability


Tricks and techniques


Alumni Liaison

Sees the importance of signal filtering in medical imaging

Dhruv Lamba, BSEE2010