Week |
Subject |
Related Preparation |
1) |
Review of single-variable calculus. |
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2) |
Functions of several variables. Partial derivatives, differentials, implicit functions, Jacobian. |
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3) |
Vector functions. Gradient, divergence, curl and Laplacian. Directional derivative. |
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4) |
Maxima and minima, Lagrange multipliers. |
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5) |
Multiple integrals. Line integrals, Green's theorem. |
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6) |
Surface integrals, the divergence theorem, Stoke's theorem. |
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7) |
Cylindrical and spherical coordinates. |
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8) |
Applications of vector calculus. |
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9) |
Functions of a complex variable. Continuity and differentiation. |
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10) |
Complex integration. Cauchy's theorem and integral formula. |
|
11) |
Taylor and Laurent series. Poles and residues. |
|
12) |
Conformal mapping and applications. |
|
13) |
Fourier series. |
|
14) |
Fourier transform. |
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Program Outcomes |
Level of Contribution |
1) |
Have sufficient theoretical background in mathematics, basic sciences and other related engineering areas and to be able to use this background in the field of energy systems engineering. |
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2) |
Be able to identify, formulate and solve energy systems engineering-related problems by using state-of-the-art methods, techniques and equipment. |
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3) |
Be able to design and do simulation and/or experiment, collect and analyze data and interpret the results. |
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4) |
Be able to access information, to do research and use databases and other information sources. |
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5) |
Have an aptitude, capability and inclination for life-long learning. |
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6) |
Be able to take responsibility for him/herself and for colleagues and employees to solve unpredicted complex problems encountered in practice individually or as a group member. |
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7) |
Develop an understanding of professional and ethical responsibility. |
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8) |
Develop an ability to apply the fundamentals of engineering mathematics and sciences into the field of energy conversion. |
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9) |
Develop an understanding of the obligations for implementing sustainable engineering solutions. |
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10) |
Develop an ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability. |
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11) |
Realize all steps of a thesis or a project work, such as literature survey, method developing and implementation, classification and discussion of the results, etc. |
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