| 1 | Basic concepts, general classification of Partial Differential Equations ( PDEs), Derivation of PDEs | [1] s. 1-4 , [2] s. 44-45 ; [1] s. 4-6 , [2] s. 45-46 ; [1] s. 6-24 , [11] |
| 2 | First order linear and quasi-linear Partial differential Equations (PDEs) | [1] s. 26-28, [2] s. 47-49 ; [1] s. 28-45, , [11] |
| 3 | Generalization of Lagrange system, finding an integral surface from a given curve | [1] s. 45-47 ; [1] s. 47-55, [2] s. 56-57 , [11] |
| 4 | Second order linear constant coefficent equations, seperation of operators into multiple multipliers | [1] s. 87-91, [2] s. 88-94 ; [1] s. 91-98, [2] s. 96-105 , [11] |
| 5 | Euler equation, general brifing of what has been learned up to now | [1] s.98-102 , , [11] |
| 6 | Definition of Forier coeficents and Fourier serries, convergence theoren for Fourier serries | [3]s. 572-580, [4] s.89-91 ; [3] s.581-586, [4] s.91-96 , , [11] |
| 7 | Fourier sine and Fourier cosine serries, Fourier sine and Fourier cosine serries expansion of a function | [3] s.589-591, [4] 96-108 ; [3] s.589-591, [4] 108-109 , , [11] |
| 8 | Odd and even parts continuity of Fourier serries | [4] s.109-111 , [3] s.591-593, [4] s. 11-116 , , [11] |
| 9 | Term by term differentiation and integration of Fourier serries, | [3] s.593-597, [4] s. 116-127 , [3] s.597-598, [4] s. 127-131 , , [11] |
| 10 | Complex Fourier serries | [4] s.131-135 , [11] |
| 11 | Modelling of some classical PDEs, problem of vibrating string | [5] s. 63-65 , [5] s. 65-67 , [11] |
| 12 | Vibration of a membrane, wave propagation in an elastic media for sustainable engineering | [5] s. 67-69 ; [5] s. 69-75 , [11] |
| 13 | Heat conduction in solids, classification of second order partial differential equations, canonical forms | [5] s. 75-76 ; [5] s. 91-93 ; [5] s. 93-99 , [11] |
| 14 | Partial Differential equations equations with constant coefficents and general solutions for them. | [5] s. 107-111 , [11] |