Math 308 Homework-section 523, Spring 2017

Weekly lecture notes

It is recommended before the class to print either the notes with spaces and fill them in the provided spaces during the class or the notes without spaces and fill them on your own paper.
 
Week one notes with spaces  notes without spaces

Week two notes with spaces  notes without spaces

Week two   continued        notes with spaces  notes without spaces

Week three notes on continuation of exact equations with spaces ,  without spaces

Bernoulli equations notes (required for the honors section only)

Week three notes on vector fields and direction fields with spaces , (updated !),  without spaces

Week three notes on existence and uniqueness theorem with spaces ,  without spaces

Week four notes on phase line and stability of equilibrium points with spaces, without spaces

Week four notes on second order homogeneous linear ODEs and Wronskian with spaces, without spaces

Week five notes on second order homogeneous linear ODEs with constant coefficients: the cases of real roots
with spaces without spaces

Week  six notes on second order homogeneous linear ODEs with constant coefficients: the cases of complex roots
with spaces without spaces

Week  six free undamped and damped vibrations with spaces without spaces

Week  seven Euler's equations and reduction of order  with spaces without spaces

Week  eight Systems of first order Equations.Preliminaries with spaces without spaces

Week  eight Matrices and Matrix Multiplication with spaces without spaces

Week  nine with spaces without spaces

Week  ten with spaces without spaces

Week  ten  Complex eigenvalues  with spaces without spaces

Week  ten  Matrix exponential with spaces without spaces

Week  eleven  Algebraic and geometric multiplicity, generalized eigenvectors, solutions in the case of repeated eigenvalues and n=2 with spaces without spaces

Week  twelve  Repeated eigenvalues: general case and applications to the case n=3 with spaces without spaces

Week  twelve  Repeated eigenvalues: general case and applications to the case n=3 , case of  algebraic multiplicity 3 with spaces (there is not too much spaces in this text)

Week  thirteen Summary of class of April 18

Week  thirteen Detailed notes  of class of April 20 (page 6 is updated there)

Week  fourteen Detailed notes  of class of April 25 (contains more accurate discussion of stability of linear systems than the one I made in class including the case of repeated eigenvalues on imaginary axes, see page 3-5)

Week  fourteen Variation of parameter  with spaces without spaces , Solution of example12