This course provides the differentiation of indefinite integrals and table of famous integrals. The topics of interest include: simple rules of integration & the fundamental theorem of calculus, fundamental theorem of calculus and integration by parts, integration of rational function, integration of trigonometric powers, trigonometric substitution, and integration of quad forms, the reduction formulas and definite integration. Application of integration: Area and volume, length of curve, average of function, numerical integration, matrix Algebra. And solution of systems of linear equations. It also illustrates solving systems of linear equations which leads to the algebra of matrices, determinants, vector spaces, bases and dimensions.
IS -144 CRs
Sherman K.Stein, Anthony Barcellos, Calculus & Analytic Geometry, McGraw-Hill Higher Education
| content serial | Description |
|---|---|
| 1 | Definition of indefinite integrals & Table of famous integrals |
| 2 | Simple rules of integration & the fundamental theorem of calculus |
| 3 | Integration by parts |
| 4 | Integration by parts & integration of rational functions |
| 5 | Integration of rational functions |
| 6 | Integration of Trigonometric powers |
| 7 | Trigonometric substitution |
| 8 | Integration of quadratic forms and the Reduction formulas |
| 9 | Definite integration. Areas and Volumes |
| 10 | Length of the curve. Average of a function & numerical integration |
| 11 | Matrix Algebra |
| 12 | Solution of system of linear equations |
| 13 | Eigenvalues and Eigenvectors |
| 14 | Physical meaning of Eigenvalues and Eigenvectors & Cayley |
| 15 | Hamilton theorem |
| 16 | Final Examination |
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