Difference between revisions of "Talk:MAT3613"

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===Remarks to Course Correction===
 
===Remarks to Course Correction===
* Systems of Linear Equations is a prereq within MAT 1224 and MAT 3613, but it is not mentioned within MAT 1073. Though, within 1073 they mention as a topic Systems of Equations of Three Variables. Maybe add a general lesson of n variable systems or a specific lesson on systems of linear equations.
 
  
 
===Questions===
 
===Questions===
* For method of undetermined coefficients do we need integrating techniques as a prereq? When solving these problems no integration is needed.
 
  
 
* What do you mean by Algebraic Equations?
 
* What do you mean by Algebraic Equations?
 +
:- The characteristic equations of higher-order ODEs are cubic equations and algebraic (not differential) equations of higher degree (such as r^4+5r^3+3r^2+45r-54=0) In order to evaluate their zeros, we apply factoring using linear and quadratic (that cannot be reduced to linear) factors. So, all topics related to characteristic equations (homogeneous and nonhomogeneous differential equations of higher order) require a knowledge on algebraic equations - how to evaluate the solutions of such equations.
  
 
===Suggestions===
 
===Suggestions===
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* Any mention of Integration Techniques as a prereq, that has a prereq that requires Integration Techniques should remove the prereq of Integration Techniques.
 
* Any mention of Integration Techniques as a prereq, that has a prereq that requires Integration Techniques should remove the prereq of Integration Techniques.
  
* Any mention of Integration Techniques as a prereq contains 4 prereqs like so:
+
* For method of undetermined coefficients do we need integrating techniques as a prereq? When solving these problems require no integration.
:- [[DirectIntegration|Direct Integration]]
 
:- [[IntegrationBySubstitution|Integration by Substitution]]
 
:- [[IntegrationByParts|Integration by Parts]]
 
:- [[IntegrationOfRationalFunctions|Integration of Rational Functions]]
 

Latest revision as of 08:05, 9 July 2020

Remarks to Course Correction

Questions

  • What do you mean by Algebraic Equations?
- The characteristic equations of higher-order ODEs are cubic equations and algebraic (not differential) equations of higher degree (such as r^4+5r^3+3r^2+45r-54=0) In order to evaluate their zeros, we apply factoring using linear and quadratic (that cannot be reduced to linear) factors. So, all topics related to characteristic equations (homogeneous and nonhomogeneous differential equations of higher order) require a knowledge on algebraic equations - how to evaluate the solutions of such equations.

Suggestions

  • The prereq of Integration of Rational Functions is not mentioned within 1224, but is instead mentioned as a SLO from Partial Fractions within 1224. Suggestion is to change this prereq to Partial Fractions
  • Any mention of Wronskian as a prereq where Determinant is a prereq should remove the Determinant prereq, since Wronskian requires knowledge of Determinant as its prereq.
  • Any mention of Integration Techniques as a prereq, that has a prereq that requires Integration Techniques should remove the prereq of Integration Techniques.
  • For method of undetermined coefficients do we need integrating techniques as a prereq? When solving these problems require no integration.