### Classes

• Lecture: Friday, 10:15 – 12:00 (HG F 1)
• Exercise: Tuesday 15:15 – 16:00
• LFW B 1  – Students with last name A-E
• CHN E 42 – Students with last name F-J
• ML E 12 – Students with last name K-Me
• NO C 44 – Students with last name Mi-R
• NO C 6 – Students with last name S-Z

### Exam

• Date: TBA
• Time: TBA
• Rooms: TBA
• Aids: Personal summary 4 pages (2 sheets) handwritten or machine-typed
(single-spaced, font size at least 8 pts.)

### Schedule and Lecture Slides

Lecture Notes FS2020 (last update 18.06.2020)

 Date Lecturer Lecture 21.02.2020 Arampatzis Modeling Data: Linear Least Squares 28.02.2020 Arampatzis Nonlinear systems I: Bisection, Newton, Secant methods 06.03.2020 Arampatzis Nonlinear systems II: sets of equations 13.03.2020 Walther Interpolation and extrapolation I/II: Lagrange interpolation and Cubic splines 20.03.2020 Walther Numerical integration I/II: Rectangle, Trapezoidal, Simpson’s Rule, Richardson and Romberg 27.03.2020 Walther Numerical integration I/II: Rectangle, Trapezoidal, Simpson’s Rule, Richardson and Romberg 03.04.2020 Walther Numerical integration III: Adaptive Quadrature 24.04.2020 Walther Numerical integration IV: Introduction to Probability, Whiteboard 08.05.2020 Walther Numerical integration IV: Monte Carlo 15.05.2020 Arampatzis Neural Networks I: Single Layer 22.05.2020 Arampatzis Neural Networks II: Principle Component Analysis and Autoencoders (Slides) 29.05.2020 Arampatzis Neural Networks III: Deep Learning (Slides)

### Exercises

The exercises begin in the second week of the semester.

 Date Exercise Notebooks Solution 25.02.2020 Exercise Set 1 Notebook 1.0 Notebook 1.1 Solution Set 1 Solution Notebook 1.1 03.03.2020 Exercise Set 2 Notebook 2.1 Notebook 2.2 Solution Set 2 Solution Notebook 2.1 Solution Notebook 2.2 10.03.2020 Exercise Set 3 Notebook 3.1 Notebook 3.2 Solution Set 3 Solution Notebook 3.1 Solution Notebook 3.2 17.03.2020 Exercise Set 4, Video, Slides Notebook 4.1 Solution Set 4 Solution Notebook 4.1 24.03.2020 Exercise Set 5, Video, Slides Notebook 5.1 Solution Set 5 Solution Notebook 5.1 31.03.2020 Exercise Set 6, Video, Slides Notebook 6.1 Solution Set 6 Solution Notebook 6.1 07.04.2020 Exercise Set 7, Video, Slides Notebook 7.1 Solution Set 7 Solution Notebook 7.1 14.04.2020 Exercise Set 8, Video, Slides Notebook 8.1 Solution Set 8 Solution Notebook 8.1 28.04.2020 Exercise Set 9, Video, Slides Notebook 9.1 Solution Set 9 Solution Notebook 9.1 05.05.2020 Exercise Set 10, Video, Slides Notebook 10.1 Solution Set 10 Solution Notebook 10.1 12.05.2020 Exercise Set 11, Video, Slides Notebook 11.1 Solution Set 11 Solution Notebook 11.1 19.05.2020 Exercise Set 12, Video, Slides Notebook 12.1 Notebook 12.2 Notebook 12.3 Solution Set 12 Solution Notebook 12.3 26.05.2020 Exercise Set 13, Video, Slides Notebook 13.1 Notebook 13.2 Solution Set 13 Solution Notebook 13.1 Solution Notebook 13.2

### Textbooks

• Numerical Analysis (R. L. Burden and J. D. Faires)
• The Nature of Mathematical Modeling (N. Gershenfeld)
• Introduction to Applied Mathematics (G. Strang)
• Analysis of Numerical Methods (Isaacson and Keller)