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jlperla committed Sep 13, 2024
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Expand Up @@ -68,7 +68,21 @@ Slides for the lectures can be found [here](https://ubcecon.github.io/ECON526/le
- Introductory material on linear algebra: https://intro.quantecon.org/linear_equations.html and https://datascience.quantecon.org/scientific/applied_linalg.html
- Matrix decompositions and other topics: https://python.quantecon.org/linear_algebra.html#further-topics

- **September 9**: Applications of Linear Algebra (Eigenvalues and Discounting)
- **September 9**: Continuing on Introduction to Numerical Linear Algebra
- **Topics:** Overview of computational complexity and numerical precision, solving systems of equations, geometric interpretations of linear algebra, matrix decompositions, linear least squares, and eigenvalues and eigenvectors. Preparation for applications.
- **Material:**
- [Linear Algebra Foundations](https://ubcecon.github.io/ECON526/lectures/lectures/linear_algebra_foundations.html), [Jupyter](lectures/lectures/linear_algebra_foundations.ipynb), [PDF](lectures/lectures/linear_algebra_foundations.pdf)
- **Self-study:**
- Basics of linear algebra, matrices, norms, and linear independence: https://python.quantecon.org/linear_algebra.html
- Numerical optimization: https://datascience.quantecon.org/scientific/optimization.html
- Systems of Equations: https://python.quantecon.org/linear_algebra.html#solving-systems-of-equations
- Eigenvectors and eigenvalues: https://python.quantecon.org/linear_algebra.html#eigenvalues-and-eigenvectors
- Downloading and manipulating data in Python: https://intro.quantecon.org/long_run_growth.html and https://intro.quantecon.org/business_cycle.html
- **(Optional) Extra Material**:
- Introductory material on linear algebra: https://intro.quantecon.org/linear_equations.html and https://datascience.quantecon.org/scientific/applied_linalg.html
- Matrix decompositions and other topics: https://python.quantecon.org/linear_algebra.html#further-topics

- **September 11**: Applications of Linear Algebra (Eigenvalues and Discounting)
- **Topics:** Geometric series and present values, difference equations, steady states, and convergence, unemployment dynamics, present discounted values
- **Material:**
- Finishing off [Linear Algebra Foundations](https://ubcecon.github.io/ECON526/lectures/lectures/linear_algebra_foundations.html)
Expand All @@ -81,21 +95,21 @@ Slides for the lectures can be found [here](https://ubcecon.github.io/ECON526/le
- Supply and Demand: https://intro.quantecon.org/intro_supply_demand.html
- More on Competitive Equilibrium: https://intro.quantecon.org/supply_demand_multiple_goods.html

- **September 11**: Latent Variables and Intro to Unsupervised Learning
- **Topics:** Finished off eigenvalues and dynamics, principle components, and present discounted values
- **September 16**: Latent Variables and Intro to Unsupervised Learning
- **Topics:** Review eigenvalues and dynamics, principle components, and present discounted values
- **Material:**
- [Latent Variables and Unsupervised Learning](https://ubcecon.github.io/ECON526/lectures/lectures/latent_variables.html), [Jupyter](lectures/lectures/latent_variables.ipynb), [PDF](lectures/lectures/latent_variables.pdf)
- **Self-study:**
- [scikit-learn PCA docs](https://scikit-learn.org/stable/modules/decomposition.html#principal-component-analysis-pca)
- [seaborn tutorials](https://seaborn.pydata.org/tutorial/introduction.html)

- **September 16**: More on Latent Variables and Clustering
- **September 18**: More on Latent Variables and Clustering
- **Topics:** Finish off continuous latent variables, PCA, auto-encoders, clustering, and started dynamics
- **Material:**
- [Latent Variables and Unsupervised Learning](https://ubcecon.github.io/ECON526/lectures/lectures/latent_variables.html)
- **Self-study:**
- [scikit-learn k-means docs](https://scikit-learn.org/stable/modules/clustering.html#k-means)
- **September 18**: Dynamics
- **September 23**: Dynamics
- **Topics:** Dynamical systems, stability, fixed points, linearization, intro to the Solow-Swan growth model
- **Material:**
- [Linear and Nonlinear Dynamics](https://ubcecon.github.io/ECON526/lectures/lectures/dynamics.html), [Jupyter](lectures/lectures/dynamics.ipynb), [PDF](lectures/lectures/dynamics.pdf)
Expand All @@ -106,7 +120,7 @@ Slides for the lectures can be found [here](https://ubcecon.github.io/ECON526/le
- **(Optional) Extra Material**:
- More on the Solow Model and Python: https://python-programming.quantecon.org/python_oop.html#example-the-solow-growth-model

- **September 23**: Probability, Randomness, and Independence
- **September 25**: Probability, Randomness, and Independence
- **Topics:** Axioms of probability, LLN and CLT, and Conditional Independence
- **Material:**
- [Probability, Conditioning, and Independence](https://ubcecon.github.io/ECON526/lectures/lectures/probability.html), [Jupyter](lectures/lectures/probability.ipynb), [PDF](lectures/lectures/probability.pdf)
Expand All @@ -118,7 +132,9 @@ Slides for the lectures can be found [here](https://ubcecon.github.io/ECON526/le
- https://python.quantecon.org/prob_meaning.html
- https://python.quantecon.org/prob_matrix.html

- **September 25**: Stochastic Processes and Forecasts
- **September 30 (Statutory holiday)**

- **October 2**: Stochastic Processes and Forecasts
- **Topics:** Conditional expectations, Bayes' rule, Law of Iterated Expectations, stochastic processes
- **Material:**
- Finish [Probability, Conditioning, and Independence](https://ubcecon.github.io/ECON526/lectures/lectures/probability.html)
Expand All @@ -128,30 +144,29 @@ Slides for the lectures can be found [here](https://ubcecon.github.io/ECON526/le
- https://python.quantecon.org/ar1_processes.html for more on AR(1) processes
- https://datascience.quantecon.org/scientific/randomness.html#loan-states for a simple Markov Chain example

- **September 30 (Statutory holiday)**

- **October 2**: Markov Chains and Introduction to Causality and Counterfactuals
- **Topics:** Finish stochastic processes and Markov Chains and briefly setup causality and counterfactuals
- **October 7**: Markov Chains
- **Topics:** Finish stochastic processes and Markov Chains and briefly setup causality and counterfactuals if time permits
- **Material:**
- Finish [Stochastic Processes](https://ubcecon.github.io/ECON526/lectures/lectures/stochastic_processes.html)
- **Self-Study:**
- https://matheusfacure.github.io/python-causality-handbook/01-Introduction-To-Causality.html

- **October 7** Introduction to Causality, continued
- **October 9** Introduction to Causality and Counterfactuals
- **Material:**
- [Introduction to Causality and Randomized Experiments](https://ubcecon.github.io/ECON526/lectures/lectures/introduction_to_causality.html)
- **Self-study:**
- https://matheusfacure.github.io/python-causality-handbook/01-Introduction-To-Causality.html
- https://matheusfacure.github.io/python-causality-handbook/02-Randomised-Experiments.html

- **October 9** Stats Review: Quantifying Uncertainty in Causal Inference
- **October 14 (Statutory holiday)**

- **October 16** Stats Review: Quantifying Uncertainty in Causal Inference + Midterm Logistics REview
- **Material:**
- [Stats Review: Quantifying Uncertainty in Applied Economics](https://ubcecon.github.io/ECON526/lectures/lectures/uncertainty_bias_variance.html)
- **Self-study:**
- https://matheusfacure.github.io/python-causality-handbook/03-Stats-Review-The-Most-Dangerous-Equation.html

- **October 14 (Statutory holiday)**
- **October 16 (TA session Midterm Review)**
- **October 21 (IN CLASS MIDTERM)**

### Paul
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