Applied Mathematics
International Master "Structural Mechanics and Coupled Systems"
|
Course of applied mathematics, autumn 2022. Lecture 1. Matrix calculus Lecture 2. Linear algebra Lecture 3. Changing the basis Lecture 4. Eigenvalues and eigenvectors Lecture 5. Autoadjoint operators Lecture 6. Linear differential systems Lecture 7. Length and normal of a curve individual presentation 1 Lecture 8. Functions of several variables individual presentation 2 Lecture 9. Curvilinear integral individual presentation 3 Lecture 10. Double integral individual presentation 4 Lecture 11. Change of variable in a double integral individual presentation 5 Lecture 12. Green formula individual presentation 6 Lecture 13. Surface integral individual presentation 7 |
|
Bibliography
Gilbert Strang, Introduction to Linear Algebra, 5th edition, Wesseley, Cambridge Press, 2016.
Peter Peterson, Classical differential geometry, www.math.ucla.edu/~petersen/DGnotes.pdf.
Richard Courant, Differential and integral calculus, volume II, Interscience, 1950.
|
update 15 february 2023 |
| |