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Introductory Course in Analysis & Linear Algebra for Cognitive Science (Weiterer Mitwirkender: Taher Habib)

Allgemeine Informationen

Veranstaltungsart: Tutorium
Semester: WiSe 2019/20
ECTS-Punkte: 8
Veranstaltungsnummer: 8.3374
Voraussetzungen: High-School Algebra, Cartesian Geometry and some willingness for mathematical formalism.
Details: Link zur Veranstaltung in StudIP

Dozent*innen

Tutor*innen

Taher Habib, M. Sc.

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