On this page you find:

  1. The schedule
  2. Deadlines
  3. Descriptions of each week


1. Schedule


Week # Lecture Class
4 Feb 1 Introduction DataCamp
11 Feb 2 Fundamentals: Primitives DataCamp
18 Feb 3 Fundamentals: Optimize, print and plot DataCamp
25 Feb 4 Fundamentals: Random numbers and simulation Problem Set 1: Solving the consumer problem
4 Mar 5 Fundamentals: Workflow and debugging Problem Set 2: Finding the Walras equilibrium in a multi-agent economy
11 Mar 6 Working with Data: Load/save and structure data Problem Set 3: Loading and combining data from Denmark Statistics
18 Mar 7 Working with Data: Basic data analysis Problem Set 4: Analyzing data
25 Mar 8 Supervision on data project Work on your data project
1 Apr 9 Algorithms: Searching and Sorting Problem Set 5: Writing your own algorithms
8 Apr 10 Algorithms: Solving equations Problem Set 6: Solving the Solow Model
15 Apr 11 Algorithms: Numerical optimization Problem Set 7: Solving the consumer problem with income risk
22 Apr Easter (continue on Problem Set 7)
29 Apr 12 Further Perspectives: The need for speed Work on your model analysis project
6 May 13 Further Perspectives: R and MATLAB Work on your model analysis project
13 May 14 Further Perspectives: Julia Feedback on model project


2. Deadlines


Task Deadline
Datacamp courses completed 24 Feb
Data analysis project
- hand-in 5 Apr
- provide 2x peer-feedback 17 Apr
Model analysis project
- hand-in 10 May
- provide 2x peer-feedback 14 May
Exam
- requirements fulfilled 15 May
- beginning 20 May
- end 27 May


3. Descriptions of each week


Week 1: Introduction

Lecture: You will be introduced to working with Python 3 (Anaconda, JupyterLab, VS Code). In order to show the power of numerical methods, we will: 1) solve a consumer problem, 2) simulate an AS-AD model.

Class: Work on DataCamp courses (free access will be provided):

  1. Intro to Python for Data Science
  2. Intermediate Python for Data Science
  3. Python Data Science Toolbox (Part 1)
  4. Python Data Science Toolbox (Part 2)

Week 2: Fundamentals: Primitives

Lecture: You will be given an in-depth introduction to the fundamentals of Python (objects, variables, operators, classes, methods, functions, conditionals, loops). You learn to discriminate between different types such as integers, floats, strings, lists, tuples and dictionaries, and determine whether they are subscriptable (slicable) and/or mutable. You will learn about referencing and scope. You will learn a tiny bit about floating point arithmetics.

Class: Continue to work on DataCamp courses

Week 3: Fundamentals: Optimize, print and plot

Lecture: You will learn how to work with numerical data (numpy) and solve simple numerical optimization problems (scipy.optimize) and report the results both in text (print) and in figures (matplotlib).

Class: Continue to work on DataCamp courses

Week 4: Fundamentals: Random numbers and simulation

Lecture: You will learn how to use a random number generator with a seed and produce simulation results (numpy.random, scipy.stats), and calcuate the expected value of a random variable through Monte Carlo integration. You will learn how to save your results for later use (pickle). Finally, you will learn how to make your figures interactive (ipywidgets).

Class: Problem Set 1: Solving the consumer problem

Week 5: Fundamentals: Workflow and debugging

Lecture:: You will learn how to structure and comment your code and document it for later use. You will learn how to debug your code using print, assert and try/except statements. You will learn how to write modules and run scripts from a terminal in VSCode and how to share your code with others through Git.

Class: Problem Set 2: Finding the Walras equilibrium in a multi-agent economy

Week 6: Working with Data: Load/save and structure data

Lecture: You will learn to load and save data both to and from offline sources (e.g. CSV or Excel). You will learn about pandas series and dataframes, and how to clean, rename, structure and index your data. Taugth by Anders Munk-Nielsen.

Class: Problem Set 3: Loading and structuring data from Denmark Statistics

Week 7: Working with Data: Basic data analysis

Lecture: You will learn how to combine (join and concatenate) datasets, download online datasets (throguh an API), and use split-apply-combine to calculate group-level statistics and make group-level plots. Taugth by Anders Munk-Nielsen.

Class: Problem Set 4: Analyzing data form Denmark Statistics

Week 8: Supervision on data analysis project

Lecture: Supervision on your data analysis project

Class: Work on your data analysis project

Week 9: Algorithms: Searching and sorting

Lecture: You will learn how to write pseudo code and a bit about computational complexity (big-O notion). You will learn learn about functional recursion and some illustrative search (sequential, binary) and sort (bubble, insertion, quick) algorithms.

Class: Problem Set 5: Writing your own algorithms

Week 10: Algorithms: Solving equations

Lecture: You will learn about working with matrices and linear algebra (scipy.linalg), including solving systems of linear equations. You will learn to find roots of linear and non-linear equations both numerically (scipy.optimize) and symbolically (sympy).

Class: Problem Set 6: Solving the Solow Model

Week 11: Algorithms: Numerical optimization

Lecture: You will learn to solve non-convex multi-dimensional optimization problems using numerical optimization with multistart and nesting (scipy.optimize). You will learn simple function approximation using linear interpolation (scipy.interp).

Class: Problem Set 7: Solving the consumer problem with income risk

Week 12: Further Perspectives: The need for speed

Lecture: You will learn how to time your code and locate its bottlenecks. You will learn how to alleviate such bottlenecks using techniques such as comprehensions, generators, vectorization and parallelization. You will be introduced to how to use the Numba library to speed-up your code. You will hear about the fundamental computational costs of mathematical operations and memory management (caching), and see how to call programs written in C++ (ctypes) for optimal speed.

Class: Work on your model analysis project

Week 13: Further Perspectives: R and MATLAB

Lecture: Two guest lectures will introduce you to the programming languages MATLAB (taught by Thomas Høgholm Jørgensen) and R (taught by Rémi Piatek).

Class: Work on your model analysis project

Week 14: Further Perspectives: Julia

Lecture: A guest lecture will introduce you to the (up-and-coming) programming language Julia (taught by Andreas Noack Jensen).

Class: Feedback on your model analysis project