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Mathematics for Natural Sciences 2
Welcome to Linear Algebra and Vector Calculus
1. Coordinate Systems
2. Multidimensional Integrals
3. Vector Fields
4. Variations of Fields
5. Line Integrals
6. Surface Integrals
7. Vector Calculus Theorems
8. ODE Methods - Reduction of Order
9. ODE Methods - Variation of Parameters
10. Linear Systems of Equations
11. Vectors
12. Matrix Equation
\(Ax = b\)
13. Linear Independence and Bases
14. Linear Subspaces
15. Linear Transformations
16. Matrices
17. Composing Linear Functions
18. Inverses
19. Determinants
20. Eigenvalues and Eigenvectors
21. Matrix Diagonalisation
Index
