Material Detail

This is a free, online textbook offered by Bookboon.com.  Topics include:

1. Integration of trigonometric polynomials 2. Complex decomposition of a fraction between two polynomials 3. Integration of a fraction between two polynomials 4. The domain of a fraction 5. The chain rule 6. Calculation of the directional derivative 7. Approximating polynomials 8. Gradient fields; antiderivatives 9. An overview of integration in the plane and in the space 10. Reduction of a plane integral; rectangular version 11. Reduction of a plane integral; polar version 12. Reduction of a space integral; rectangular version 13. Reduction of a space integral; semi-polar version 14. Reduction of a space integral; spherical version 15. Line integrals 16. Surface integrals 17. Transformation theorems 18. Improper integrals; bounded domain 19. Improper integrals; unbounded domain 20. The setting up of a line, a plane, a surface or a space integral 21. Tangential line integrals; gradient field 22. Flux and divergence of a vector field; GauB's theorem 23. Rotation of a vector field; GauB's theorem 24. Green's theorems in the plane 25. Nabla calculus 26. Partial integration in higher dimension 27. Vector potential 28. Global maximum and minimum 29. Extrema; local investigation

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