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Week - 1 |
Introduction to the vectors, vector operations (dot product, cross product and scalar triple product) and their applications, equations of lines and planes |
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Week - 2 |
Cylinders and quadratic surfaces, vector and scalar functions and their fields, vector calculus: derivatives |
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Week - 3 |
Arc length, functions of several variables (review), directional derivatives, gradients |
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Week - 4 |
Divergence of vector field, curl of a vector field, cylindrical coordinates, spherical coordinates, |
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Week - 5 |
Vector integration: line integrals, double integral (short review) |
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Week - 6 |
Green’s theorem, surface integrals |
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Week - 7 |
Divergence theorem of Gauss, Stokes’ theorem |
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Week - 8 |
Complex numbers, complex plane |
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Week - 9 |
Complex functions and mappings |
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Week - 10 |
Analytic and elementary functions |
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Week - 11 |
Integration in the complex plane |
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Week - 12 |
Cauchy’s theorems (Cauchy-Goursat theorem, Cauchy integral formula) |
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Week - 13 |
Laurent series and singularities |
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Week - 14 |
Residue theorem |
Eskisehir Technical University Info Package