Applied Differential Calculus
Exercises and projects
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Lecture 1
EP 1.1. Problems (PDF).
Problems of lecture 1: First-order ordinary differential equations.
EP 1.2. Solution (PDF).
Solution of problems lecture 1.
Lecture 2
EP 2.1. Problems (PDF).
Problema of lecture 2: Second-order ordinary differential equations (6 pages).
EP 2.2. Solution (PDF).
Solution of problems lecture 2.
Lecture 3
EP 3.1. Problems (PDF).
Problems of Lecture 3: Systems of differential equations (4 pages).
EP 3.2. Solution (PDF).
Solution of Problems Lecture 3 (10 pages).
Lecture 4
EP 4.1. Problems (PDF).
Problems of Lecture 4: Boundary value problems (2 pages).
EP 4.2. Solution (PDF).
Solution of Problems Lecture 4 (5 pages).
Lecture 5
EP 5.1. Problems (PDF).
Problems of Lecture 5: Fourier series and separation of variables: Heat equation (3 pages).
EP 5.2. Solution (PDF).
Solution of Problems Lecture 5 (8 pages).
Lecture 6
EP 6.1. Problems (PDF).
Problems of Lecture 6: Fourier series and separation of variables: Wave equation (2 pages).
EP 6.2. Solution (PDF).
Solution of Problems Lecture 6 (4 pages).
Lecture 7
EP 7.1. Problems (PDF).
Problems of Lecture 7: Fourier series and separation of variables: Laplace equation (1 page).
EP 7.2. Solution (PDF).
Solution of Problems Lecture 7 (3 pages).