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{\bf Math 226: Calculus IV \hfill Spring 1993}
\centerline{\bf Syllabus}
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\week
Jan. 13 &M1 Basic Matrix Operations\cr
     15 &M1 Row \& Column Operations\cr
\week
     18 &M2 Linear Equations \quad {\sl Quiz 1}\cr
     20 &M2 Guassian Elimination\cr
     22 &M4 Matrix Inversion\cr
\week
     25 &M5 Determinants \quad {\sl Quiz 2}\cr
     27 &M6 Linear Dependence\cr
     29 &M6 Linear Independence\cr
\week
Feb.  1 &M11 Gram-Schmidt \quad {\sl Quiz 3}\cr
      3	&1.1--1.2 Introduction to Differential Equations\cr
      5 &2.1 Linear Equations\cr
\week
      8 &2.2 Linear Equations \quad {\sl Assignment 1}\cr
     10 &{\sl Review}\cr
     11 &{\bf Exam I}\cr
     12 &2.3 Non-linear Equations\cr
\week
     15 &2.4 Separable Equations \quad {\sl Quiz 4}\cr	
     17 &2.5 Applications of 1st Order Equations\cr	
     19 &2.5 Applications of 1st Order Equations\cr
\week
     22 &2.6 Population Dynamics \& Related Problems \quad {\sl Quiz 5}\cr
     24 &2.7 Elementary Mechanics\cr
     26 &2.8 Exact Equations\cr
\week
Mar.  1 &2.9 Integrating Factors \quad {\sl Quiz 6 \& Assignment 2}\cr	
      3 &2.10 Homogeneous Equations\cr
      5 &3.1 2nd Order Equations\cr
\week
 8--12 &{\bf Midsemester Break}\cr
\week
     15 &3.2 Fundamental Solutions of the Homogeneous Eqn.\cr
     17 &3.3 Linear Independence ({\sl Review})\cr	
     18 &{\bf Exam II}\cr
     19 &3.4 Reduction of Order\cr	
\week
     22 &3.5 Constant Coefficient Homogeneous Eqns. \quad {\sl Quiz 7}\cr
     24 &3.5.1 Complex Numbers\cr
     26 &3.6 Method of Undetermined Coefficients\cr
\week
     29 &3.6-3.6.1 Undetermined Coefficients \quad
		{\sl Quiz 8 \& Assignment 3}\cr
     31 &3.6.1-3.7 Variation of Parameters\cr
Apr. 2 &3.7 Free Vibrations\cr	
\week
      5 &4.1 Power Series\cr	
      7 &4.1 Power Series\cr
      9 &{\bf Good Friday}\cr
\week
     12 &{\bf Easter Monday}\cr
     14 &4.2 Series Solns at an Ordinary Point I \quad {\sl Quiz 9}\cr
     16 &4.2.1 Series Solns at an Ordinary Point II\cr
\week
     19 &4.3 Singular Points ({\sl Review}) \quad {\sl Assignment 4}\cr
     20 &{\bf Exam III}\cr	
     21 &4.4 Euler Equations\cr
     23 &4.5 Series Solns at Singular Point I\cr
\week
     26 &4.5.1  Series Solns at Singular Point II\cr
     28 &{\sl Review \& Course Evaluation}\cr	
Apr. 30 &{\sl Study Day}\cr
\week
May  5 &{\bf Final Exam}\cr
\week
}	


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