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Welcome to the Fall EMC2 Python Labs¶

Choose a lab in the left sidebar.

Lab 1: Introduction to Python, Part I
- Setting up Google Colab
- Running Code in Cells
- Python Basics
- Task 1
- Functions, Part 1
- Task 2
- Functions, Part 2
- Task 3
- Lists
- Task 4
- Task 5
- Conditionals
- Task 6
- Compound Conditions
- Task 7
- Task 8
Lab 2: Introduction to Python, Part II
- For Loops
- Task 1
- Task 2
- NumPy
- Task 3
- Vectors and Matrices
- Task 4
- Elements of NumPy Arrays
- Task 5
- Nested for Loops
- Task 6
- List Comprehension
- Task 7
- Nested List Comprehension
- Task 8
Lab 3: Introduction to Python, Part III
- Task 1
- Task 2
- Task 3
- Challenge Problems
Lab 4: Introduction to LaTeX
Lab 5: Vector Arithmetic Using Python Lists
- Task 1
- Task 2
- Task 3
- Challenge
Lab 6: The Caesar Cipher
- Task 1
- Task 2
- Task 3
- Task 4
Lab 7: Matrix Row Reduction
- Task 1
- Task 2
- Task 3
- Challenge
Lab 8: The Vigenère Cipher
- Task 1
- Task 2
- Task 3
- Finding the key length
- Task 4
- Task 5
Lab 9: Solving Systems of Linear Equations
- Task 1
- Task 2
- Task 3
- Challenge
Lab 10: Counterexamples
- “Proposition” 1: Fermat Primes
- “Proposition” 2: Mersenne Primes
- “Proposition” 3: Prime Number Races
- “Proposition” 4: Cyclotomic Polynomials
Lab 11: Inverting matrices
- Task 1
- Task 2
- Challenge
Lab 12: Recursion
- Task 1
- Task 2
- Task 3
- Task 4
Lab 13: Basis-finding
- Task 1
- Task 2
Lab 14: Applications of Eigenvectors
- Modeling Population Dynamics with a Transition Matrix
  - Task 1
  - Task 2
  - Task 3
  - Task 4
  - Task 5
- Bonus Questions
Lab 15: The Euclidean Algorithm
- Task 1: Iterative GCD
- Task 2: Recursive GCD
- Task 3: The Extended GCD, nonnegative inputs
- Task 4: The Extended GCD, general inputs
- Task 5
Lab 16: The Gram-Schmidt Process
- Task 1
- Task 2
- Task 3
Lab 17: Recursion Reloaded
- Systems of One-Way Roads
  - Task 1
  - Task 2
- A problem with recursion
- Task 3: Fast Fibonacci
- Task 4: Towers of Hanoi
Lab 18: Modular Arithmetic
- Task 1
- Task 2
- Task 3
- Task 4
Lab 19: Image Compression with SVD
- Task 1
- Task 2
- Task 3
Lab 20: Cracking the Vigenère Cipher
- Task 1: Split the ciphertext
- Task 2: Measure letter frequencies
- Task 3: Maximize the dot product
- Task 4: Decrypt the ciphertext
Lab 21: Least Squares
- Polynomial Regression
  - Task 1
  - Task 2
  - Task 3
- Computing Linear Regression for Diabetes Data
  - Task 4
  - Task 5
Lab 22: Determinants
- Task 1
- Task 2
- Challenge
Lab 23: The Lean Theorem Prover
- Task 1
Lab 24: Lucas Sequences
- Task 1
- Eigenvalues
- Task 2
- Challenge