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{\bf Math 226: Calculus IV \hfill Spring 1992}
\centerline{\bf Syllabus}
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\halign to \hsize{\strut\hfil #\ &#\quad\hfil&#\hfil\cr
\week
Jan. 15 &M1 Basic Matrix Operations\cr
     17 &M1 Row \& Column Operations\cr
\week
     20 &M2 Linear Equations\cr
     22 &M2 Guassian Elimination\cr
     24 &M4 Matrix Inversion\cr
\week
     27 &M5 Determinants\cr
     29 &M6 Linear Dependence\cr
     30 &M6 Linear Independence\cr
\week
Feb.  3 &M11 Gram-Schmidt\cr
      5	&1.1--1.2 Introduction to Differential Equations\cr
      7 &2.1 Linear Equations\cr
\week
     10 &2.2 Linear Equations\cr
     12 &{\sl Review}\cr
     13 &{\bf Exam I}\cr
     14 &2.3 Non-linear Equations\cr
\week
     17 &2.4 Separable Equations\cr	
     19 &2.5 Applications of 1st Order Equations\cr	
     21 &2.5 Applications of 1st Order Equations\cr
\week
     24 &2.6 Population Dynamics \& Related Problems\cr	
     26 &2.7 Elementary Mechanics\cr
     28 &2.8 Exact Equations\cr
\week
Mar.  2 &2.9 Integrating Factors\cr	
      4 &2.10 Homogeneous Equations\cr
      6 &3.1 Introduction to 2nd Order Equations\cr
\week
 9--13 &{\bf Midsemester Break}\cr
\week
     16 &3.2 Fundamental Solutions of the Homogeneous Eqn.\cr
     18 &3.3 Linear Independence ({\sl Review})\cr	
     19 &{\bf Exam II}\cr
     20 &3.4 Reduction of Order\cr	
\week
     23 &3.5 Homogeneous Eqns. with Constant Coefficients\cr	
     25 &3.5.1 Complex Numbers\cr
     27 &3.6.1 Method of Undetermined Coefficients\cr
\week
     30 &3.6.1-3.6.2 Method of Undetermined Coefficients\cr	
Apr.  1 &3.6.2-3.7.1 Method of Variation of Parameters\cr
      3 &3.7.1 Free Vibrations\cr	
\week
      6 &4.1 Power Series\cr	
      8 &4.1 Power Series\cr
     10 &4.2 Series Solns at an Ordinary Point I\cr
\week
     13 &4.2.1 Series Solns at an Ordinary Point II\cr
     15 &{\sl Review}\cr
     17 &{\bf Good Friday}\cr
\week
     20 &{\bf Easter Monday}\cr
     21 &{\bf Exam III}\cr	
     22 &4.3 Regular Singular Points\cr
     24 &4.4 Euler Equations\cr	
\week
     27 &4.5 Series Solns at a Regular Singular Point I\cr
     29 &4.5.1  Series Solns at a Regular Singular Point II\cr	
May   1 &{\sl Review \& Course Evaluation}\cr
\week
      5 &{\bf Final Exam}\cr
\week
}	


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