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Week
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Topics
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Study Metarials
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1
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Filters, topological spaces, continuous mappings
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2
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Vector spaces, Linear mappings
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3
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Topological vector spaces, definition
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4
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Hausdorff topological vector spaces, Quotient topological vector spaces
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5
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Complete subsets, Completion
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6
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Compact sets
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7
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Locally convex spaces, seminorms
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8
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Metrizable topological vector spaces
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9
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Finite Dimensional Hausdorff topological vector spaces
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10
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Frechet spaces, examples
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11
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Normable spaces, Banach spaces, examples
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12
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Hilbert spaces
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13
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Spaces LF. Examples
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14
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Approximation Procedures in spaces of functions
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Program Learning Outcomes |
Level of Contribution |
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1
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Improve and deepen the gained knowledge in Mathematics in the speciality level
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5
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2
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Use gained speciality level theoretical and applied knowledge in mathematics
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5
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3
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Perform interdisciplinary studies by relating the gained knowledge in Mathematics with other fields.
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2
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4
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Analyze mathematical problems by using the gained research methods
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4
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5
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Conduct independently a study requiring speciliaty in Mathematics
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3
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6
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Develop different approaches and produce solutions by taking responsibility to problems encountered in applications
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5
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7
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Evaluate the gained speciality level knowledge and skills with a critical approach and guide the process of learning
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3
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8
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Transfer recent and own research related to mathematics to the expert and non-expert shareholders written, verbally and visually
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5
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9
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Uses computer software and information technologies related to the field of mathematics at an advanced level.
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-
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10
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Have the awareness of acting compatible with social, scientific, cultural and ethical values during the process of collecting, interpreting, applying and informing data related to Mathematics
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4
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