Lectures

8.3374 Introductory Course in Analysis & Linear Algebra for Cognitive Science Masters Students (Weiterer Mitwirkender: Taher Habib)

Kühnberger, Pipa

Type Language Semester Credits Hours Room Time Term Year
S e 7 8 4 DD HH-HH W 2018
MSc: optional

Syllabus:

Analysis 1. Intro. to Functions - Trigonometrie, Polynomial, Exponential, Logarithmic, etc. 2. Concepts of Limits and Continuity 3. Intro. and calculating Derivatives (first order, one dimensional) 4. Higher Order Derivatives & Geometry of Curves 5. Intro. and calculating Integrals - methods used in their calculation 6. Intro. to Differential Equations - basic methods to solve 7. Applications to Machine Leaming and Neurodynamics 8. Main Reference Book: George Thomas Jr., Maurice D. Weir, Joe/ R. Hass, Thomas' Calculus, 1 ~ edition Linear Algebra 1. Intro. to Set Theory 2. Intro. to Matrix Algebra & Solving Linear Systems 3. Determinants - properties and applications Linear Algebra 4. Intro. to Vectors and 3-D Cartesian Geometry 5. Intro. Vector Spaces, Eigenvalues and Eigenvectors. 6. Applications to Machine Leaming, Neuroinformatics, etc. 7. Main Reference Book: Bernard Kol/man, David Hi//, lntroductory Linear Algebra, ~ edition

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