### Teaching Assistants

• Juan Bermeo
• Michael Van Huffel
• Konstantinos Vontas

### Classes

• Lecture: Friday, 10:15 – 12:00 (ETF C 1)
• Exercise: Friday, 13:15 – 14:00 (ETF C 1, starting from week 2)

### 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 FS2022

 Date Lecturer Lecture 25.02.2022 Arampatzis Modeling Data: Linear Least Squares 04.03.2022 Arampatzis Nonlinear systems I: Bisection, Newton, Secant methods 11.03.2022 Arampatzis Nonlinear systems II: sets of equations 18.03.2022 Walther Interpolation and extrapolation I/II: Lagrange interpolation and Cubic splines 25.03.2022 Walther Numerical integration I: Rectangle, Trapezoidal, Simpson’s Rule 01.04.2022 Walther Numerical integration II: Rectangle, Trapezoidal, Simpson’s Rule 08.04.2022 Walther Numerical integration III: Adaptive Quadrature 29.04.2022 Walther Numerical integration IV: Introduction to Probability 06.05.2022 Walther Numerical integration IV: Monte Carlo 13.05.2022 Arampatzis Neural Networks I: Single Layer 20.05.2022 Arampatzis Neural Networks II: Principle Component Analysis and Autoencoders 27.05.2022 Arampatzis Neural Networks III: Deep Learning 03.06.2022

### Exercises

The exercises begin in the second week of the semester.

 Date Exercise Notebooks Solution 04.03.2022 Set 1 , slides Notebook 1.1 Notebook 1.1_solution 11.03.2022 Set 2 , slides Notebook 2.1Notebook 2.2 Set2_solution Notebook 2.1_solution Notebook 2.2_solution 18.03.2022 Set 3, slides Notebook 3.1Notebook 3.2 Set3_solutionNotebook 3.1_solutionNotebook 3.2_solution 25.03.2022 Set 4, slides Notebook 4.1 Set4_solutionNotebook 4.1_solution 01.04.2022 Set 5, slides Notebook 5.1 Set5_solution  Notebook 5.1_solution 08.04.2022 Set 6, slides Notebook 6.1 Set6_solution  Notebook 6.1_solution 29.04.2022 Set 7, slides Notebook7.1 Set7_solution Notebook_7.1_solution 06.05.2022 Set 8, slides Notebook8.1 Set8_solution Notebook_8.1_solution 13.05.2022 Set 9,Set 9 Multiple choice, slides Notebook 9.1 Set9_solution Set9_multiplechoice_solution Notebook_9.1_solution 20.05.2022 Set 10, slides Notebook 10.1, Notebook 10.2, Notebook 10.3 Set10_solution Notebook_10.3_solution 27.05.2022 Set 11, slides Notebook 11.1, Notebook 11.2, data Set11_solution, Notebook_11.1_solution, Notebook_11.2_solution 03.06.2021 Mock_Exam Mock_Exam_Solution

### 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)