Chapters from Kreyszig’s textbook:
Thirteenth week (April 13, 14) Review sessions
PDEs review session
ODEs review session
Twelfth week (April 6, 7) Sections: 12.4; 12.5
Partial Differential Equations III
Fourier Series. Wave Equation. Laplace Equation.
List of some useful links with problems and solutions from my old differential equation courses:
Power Series Solutions:
Fourier Series:
Separtion of Variables:
Wave Equation:
Fourier Method Resonance:
Eleventh week (March 30, 31) Sections: 12.1; 11.1; 12.5;
Partial Differential Equations II
Fourier Series. Heat Equation.
Some notes of the eleventh week lectures.
Tenth week (March 23, 24) Sections: 12.1; 12.5;
Partial Differential Equations I
Transport Equation.
Some notes of the tenth week lectures.
Ninth week (March 16, 17) Sections: 4.6; 5.1; 5.2
Nonhomogeneous Linear Systems of ODEs (II)
Power Series Method
Some notes of the ninth week lectures.
Eighth week (March 9) Section: 4.6
Nonhomogeneous Linear Systems of ODEs (I)
Some notes of the eighth week lectures.
Seventh week (March 2, 3) Sections: 4.2; 4.3;
Basic Theory of Systems of ODEs
Constant-Coefficient Systems.
Sixth week (February 23, 24) Sections: 2.7 (3.2); 2.10 (3.3)
Nonhomogeneous ODEs
Solution by Variation of Parameters
Some notes of the sixth week lectures.
Fifth week (February 9, 10) Sections: 2.2; 2.5
Homogeneous Linear ODEs with Constant Coefficients
Euler-Cauchy Equations
Some notes of the fifth week lectures.
Fourth week (February 2, 3) Sections: 2.1
Homogeneous Linear ODEs of Second Order
Some notes of the fourth week lectures.
Third week (January 26, 27) Sections: 1.5
Linear ODEs. Bernoulli Equation.
Some notes of the third week lectures.
Second week (January 19, 20) Sections: 1.3 – 1.4
Separable ODEs. Modeling
Exact ODEs. Integrating Factors
Some notes of the second week lectures.
Examples for the second week lectures.
First week (January 12, 13) Sections: 1.1 – 1.2
Basic concepts. Modeling
Geometric Meaning of y’ = f(x,y). Direction Fields