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Introductory Course in Analysis & Linear Algebra for Cognitive Science (Weiterer Mitwirkender: Taher Habib) |
Dozent:Prof. Dr. phil. Kai-Uwe Kühnberger, Prof. Dr. Gordon Pipa |
Veranstaltungstyp:Tutorium (Offizielle Lehrveranstaltungen) |
Beschreibung:IMPORTANT: The course-takers need not take both the modules -- Linear Algebra and Analysis -- in order to receive a scheine of 8 ECTS. Participation in just ONE module of choice is also permissible, which would be rewarded with a 4 ECTS scheine upon successful completion of that module. Topics in Analysis: 1. Intro. to Functions - Trigonometric, Polynomial, Exponential, Logarithmic, etc. 2. Concepts of Limits and Continuity 3. Intro. to Derivatives (first order, one dimensional) 4. Higher Order Derivatives & Geometry of Curves 5. Intro. to Integrals - methods used in their calculation 6. Intro. to Differential Equations - basic methods to solve 7. Applications to Machine Learning and Neurodynamics Main Reference Book: George Thomas Jr., Maurice D. Weir, Joe/ R. Hass, Thomas' Calculus, 13th edition Topics in Linear Algebra: 1. Intro. to Set Theory 2. Intro. to Matrix Algebra & Solving Linear Systems 3. Determinants - properties and applications 4. Intro. to Vectors and 3-D Cartesian Geometry 5. Intro. to Vector Spaces, Eigenvalues and Eigenvectors. 6. Applications to Machine Learning, Neuroinformatics, etc. Main Reference Book: Bernard Kollman, David Hill, lntroductory Linear Algebra, 8 or 9th edition |
Ort:35/E21: Di. 14:00 - 16:00 (13x), 32/409: Do. 12:00 - 14:00 (12x) |
Semester:WiSe 2019/20 |
Zeiten:Di. 14:00 - 16:00 (wöchentlich) - Calculus, Ort: 35/E21,
Do. 12:00 - 14:00 (wöchentlich) - Linear Algebra, Ort: 32/409 Erster Termin:Dienstag, 29.10.2019 14:00 - 16:00, Ort: 35/E21 |
Veranstaltungsnummer:8.3374 |
Empfohlenes Semester:Open to all Cognitive Science students - Bachelors are welcome too. Medium of Instruction will be English. |
Voraussetzungen:High-School Algebra, Cartesian Geometry and some willingness for mathematical formalism. |
ECTS-Kreditpunkte:8 |