1. |
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Infinite series_0304
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Convergence tests |
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2. |
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Series expansion of functions_0306
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Uniform convergence, Taylor expansion |
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3. |
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Partial differentiation 1_0311
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Basics of differentiation |
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Partial differentiation 2_0313
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Finding maximum and minimum |
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4. |
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Lagrange multiplier method_0318
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Finding extrema with Lagrange multiplier |
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5. |
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Minimum and maximum near the boundary_0320
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Endpoint problems in finding extrema |
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6. |
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Double and triple integrals_0325
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Techniques in computing multiple integrals |
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7. |
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Jacobian_0327
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Integrals changing coordinate systems |
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8. |
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Vector_0401
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Properties of vectors |
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9. |
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Vector operation_0408
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Triple products |
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10. |
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Differential operators 1_0410
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Gradient, divergence |
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Differential operators 2_0415
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Curl, composite operators |
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11. |
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Integral theorems_0418
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Green’s theorem, divergence theorem |
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Integral theorems 2_0422
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Divergence and Stokes’ theorems |
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12. |
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Curvilinear coordinates_0424
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Curvilinear coordinates |
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13. |
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Linear algebra 1_0429
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Linear equations and determinants |
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Linear algebra 2_0501
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Linear transformations |
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Linear algebra 3_0508
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Linear algebra 3 |
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14. |
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Eigenvalue problem_0513
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Eigenvalue problem and diagonalization of matrices |
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15. |
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Diagonalization of matrices_0520
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Diagonalization of hermitian matrices |
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Application of diagonalization_0522
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Small oscillation using eigenvalue problem |
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Linear space and Fourier series_0527
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Linear space and Fourier series |
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Fourier sine and cosine series_0529
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Fourier sine and cosine series |
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Fourier transform_0603
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Fourier transform and its properties |
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Delta functions_0605
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Properties of delta functions |
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