| Lecture 1 |
01/08 |
Topics: MATLAB Fundamentals (energy demand dataset)
- MATLAB setup + workflow (Desktop vs. MATLAB Online, Live Scripts)
- Core data types: numeric arrays, cell arrays, structs
- Working with tables + categorical arrays
- Functions and function handles (@)
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Review if topic is unfamiliar:
Recommended refreshers (MathWorks):
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| Lecture 2 |
01/15 |
Topics: Advanced plotting & visualizations (NHANES)
- Placing data and pre-setting axes (clean figure scaffolding)
- Loading and merging the core NHANES tables
- Plotting defaults: readable figures by construction
- Histograms + scatter plots (incl. coloring by a third variable)
- 3D surfaces / response surfaces from scattered samples
- Volume visualization (MRI example), exporting figures, and simple animations
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Review if topic is unfamiliar:
Optional (MathWorks):
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Livescript
Slides
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| Lecture 3 |
01/22 |
Topics: Applied mathematics in MATLAB (NLA + ODE/PDE + Symbolic)
- Numerical linear algebra demos: SVD/POD compression, sparse Poisson solves, eigenmodes (eigs), least squares + conditioning
- ODE/PDE demos: diagnostics (vorticity/divergence), streamfunction Poisson solve, PDE Toolbox workflow, advection–diffusion time stepping
- Symbolic Math: defining symbolic variables, manipulating expressions, and solving equations
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Review if topic is unfamiliar:
Extra technical content (optional):
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Livescript
Slides
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</td>
| Lecture 4 |
01/29 |
Topics: File I/O, big data, and MATLAB ↔ Python/C++ workflows
- File manipulation + search path basics
- Import/export: CSV/text, MAT-files; writing analysis results to tables (CSV/Excel)
- Handling big data: memory hygiene, datastores + tall arrays, MapReduce, database workflows
- Interoperability: calling Python from MATLAB, MATLAB from Python, and calling C/C++ (MEX / codegen)
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Review if topic is unfamiliar:
Extra technical content (optional):
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Livescript
Slides
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| Lecture 5 |
02/05 |
Topics: Statistics & machine learning in MATLAB (classic ML + deep learning)
- Statistics and Machine Learning Toolbox: data preprocessing + feature engineering with tables
- Unsupervised learning: PCA / dimension reduction + clustering (k-means, hierarchical clustering, GMM)
- Example: grouping/clustering basketball players from tabular stats
- Supervised ML: classification (heart disease demo) + regression basics
- Model evaluation + improvement: train/test splits, confusion matrices, and hyperparameter tuning
- Deep Learning Toolbox: pretrained CNNs, activations/feature extraction, and transfer learning (image classification demo)
- Neural operators (FNO) demo: Python ↔ MATLAB workflow for PDE surrogate modeling
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Review if topic is unfamiliar:
Optional (MathWorks):
Extra technical content (optional):
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Livescript
Slides
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| Lecture 6 |
02/12 |
Topics: Optimization & simulation/modeling (financial data demo)
- Optimization basics: Jacobians, gradients, Hessians
- Root finding and nonlinear solves (bisection/Newton intuition;
fsolve)
- Unconstrained optimization (
fminunc) and constrained optimization (fmincon)
- Linear, quadratic, and integer programming (
linprog, quadprog, intlinprog)
- Nonlinear least squares (Gauss–Newton / Levenberg–Marquardt)
- Applied example: calibrating a simple Black–Scholes model via least squares
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Review if topic is unfamiliar:
Extra technical content (optional):
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Livescript
Slides
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Assignment 1 (Due 02/23)
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| Lecture 7 |
02/19 |
Topics: Image processing in MATLAB (Astronomy edition)
- Dataset prep: SDSS “postage stamp” image cutouts (includes a Python download script)
- Import, visualize, and compare images (
imshow, montage, checkerboard)
- Preprocessing: resize/crop borders, grayscale vs. color channels
- Registration + difference imaging
- Intensity profiles (“toy photometry”) and histograms
- Contrast enhancement:
imadjust, histeq, adapthisteq
- First-pass source detection: thresholding + morphology + background subtraction
- (Optional) Semantic segmentation (SOURCE vs SKY) with a small deep net
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Review if topic is unfamiliar:
Optional (MathWorks):
Extra technical content (optional):
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Livescript
Slides
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| Lecture 8 |
02/26 |
Topics: Signal processing in MATLAB (earthquake + audio examples), Parallel Processing, Interactive Plotting
- Signal Processing Toolbox overview and a practical signal processing “pipeline”
- Working with time-stamped signals via timetables; aligning and synchronizing signals
- Spectral analysis: power spectra with
pspectrum and frequency-domain interpretation
- Preprocessing: resampling, smoothing, detrending
- Filtering and basic feature extraction (peaks, envelopes, changepoints, similarity)
- Quick tour of related toolboxes (Audio Toolbox, DSP System Toolbox)
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Review if topic is unfamiliar:
Optional (MathWorks):
Extra technical content (optional):
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Livescript
Slides
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Assignment 2 (Due 03/13)
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