### Classes

• Lecture: Friday, 10:15 – 12:00 (via Zoom, link on Piazza)
• Exercise: Friday, 13:15 – 14:00 (starting from week 2 – via Zoom, link on Piazza)

### 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 FS2021

 Date Lecturer Lecture 26.02.2021 Arampatzis Modeling Data: Linear Least Squares 05.03.2021 Arampatzis Nonlinear systems I: Bisection, Newton, Secant methods 12.03.2021 Arampatzis Nonlinear systems II: sets of equations 19.03.2021 Walther Interpolation and extrapolation I/II: Lagrange interpolation and Cubic splines 26.03.2021 Walther Numerical integration I: Rectangle, Trapezoidal, Simpson’s Rule 16.04.2021 Walther Numerical integration II: Rectangle, Trapezoidal, Simpson’s Rule 23.04.2021 Walther Numerical integration III: Adaptive Quadrature 30.04.2021 Walther Numerical integration IV: Introduction to Probability 07.05.2021 Walther Numerical integration IV: Monte Carlo 14.05.2021 Arampatzis Neural Networks I: Single Layer 21.05.2021 Arampatzis Neural Networks II: Principle Component Analysis and Autoencoders 28.05.2021 Arampatzis Neural Networks III: Deep Learning 04.06.2021

### Exercises

The exercises begin in the second week of the semester.

 Date Exercise Notebooks Solution 05.03.2021 Set 1, Slides Notebook 1.0 Notebook 1.1 Solution 1Solution Notebook 1.1 12.03.2021 Set 2, Slides Notebook 2.1 Notebook 2.2 Solution 2 Solution Notebook 2.1 Solution Notebook 2.2 19.03.2021 Set 3, Slides Notebook 3.1 Notebook 3.2 Solution Notebook 3.1 Solution Notebook 3.2 26.03.2021 Set 4, Slides Notebook 4.1 Solution Notebook 4.1 16.04.2021 Set 5, Slides Notebook 5.1 Solution Notebook 5.1 23.04.2021 Set 6, Slides Notebook 6.1 Solution 6Solution Notebook 6.1 30.04.2021 Set 7, Slides Notebook 7.1 Solution 7Solution Notebook 7.1 07.05.2021 Set 8, Slides Notebook 8.1 Solution 8Solution Notebook 8.1 14.05.2021 Set 9, Slides Notebook 9.1 Solution 9Solution Notebook 9.1 21.05.2021 Set 10, Slides Notebook 10.1 Notebook 10.2 Notebook 10.3 Solution 10 Solution Notebook 10.3 28.05.2021 Set 11, Slides Notebook 11.1 Notebook 11.2 Data Solution 11 Solution Notebook 11.1 Solution Notebook 11.2 04.06.2021 Mock Exam, Slides Solution Mock Exam

### 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)