Applied Differential Calculus

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Lecture 1

1.1. First-order ordinary differential equations (PDF).

1.2. Slides of Lecture 1 (PDF).

Lecture 2

2.1. Second-order ordinary differential equations (PDF).

2.2. Slides  of Lecture 2 (PDF).

Lecture 3

3.1. Systems of differential equations (PDF).

3.2. Slides  of Lecture 3 (PDF).

Lecture 4

4. Boundary value problems (PDF).

Lecture 5

5. Fourier series and separation of variables: Heat equation (PDF).

Lecture 6

6. Fourier series and separation of variables:  Wave equation (PDF).

Lecture 7

7. Fourier series and separation of variables: Laplace equation (PDF).