Mathematics for Natural Sciences 2
Welcome to NSCI0027
1. Multivariable Calculus
2. Integration Preliminaries
3. Vectors and Vector Algebra
4. Vector Fields
5. Variations of Fields
6. Coordinate Systems
7. Line Integrals
8. Multidimensional Integrals
9. Surface Integrals
10. Vector Calculus Theorems
11. Set Theory
12. Functions
13. Propositional Logic
14. Techniques of Proof
15. Linear Systems of Equations
16. Matrices
17. Linear Transformations
18. Inverses
19. Determinants
20. Eigenvalues and Eigenvectors
21. Matrix Diagonalisation
22. The phase portrait
23. Linear systems
24. Bifurcation analysis
25. Limit cycles
26. Python code
Index