Welcome to the Winter EMC2 Labs!

Choose a lab in the left sidebar.

• Lab 0: An Introduction to SQL
  • Task 1
• Lab 1: Introduction to Plotting
  • Task 1
  • Plot Customization
  • Task 2
• Lab 2: Introduction to Plotting and Sequences
  • Plotting sequences
  • Task 1
  • Customizing graphs
  • Task 2
  • Task 3
    • The Fibonacci Sequence
  • Task 4
  • Task 5
  • Task 6
  • Task 7
• Lab 3: Introduction to Space Curves
• Lab 4: Searching in a Sorted List
  • Task 1
  • Searching in a Sorted Space
  • Task 2
    • Challenge
  • Timing
  • Task 3
  • Task 4
• Lab 5: Planes, Trains and Automobiles
  • Task 1
  • Task 2
  • Task 3
• Lab 6: Sorting and Complexity of Algorithms
  • Task 1
  • Task 2
  • Algorithmic Complexity
  • Task 3
• Lab 7: Introduction to Series
  • Task 1
  • Task 2
  • Task 3
  • Task 4
    • The Harmonic Series
  • Task 5a
  • Task 5b
  • Task 5c
    • p-Series and logs
  • Task 6a
  • Task 6b
  • Task 6c
  • Task 7
    • Conclusion
• Lab 8: Plotting Surfaces in 3-D
  • Task 1
  • Task 2
  • Task 3
  • Task 4
  • Task 5
  • Task 6
  • Challenge
• Lab 9: Symbolic Python and Partial Differentiation
  • Symbolic Variables and Expressions
  • Task 1
  • Evaluating Expressions
  • Task 2a
  • Task 2b
    • Calculus
  • Differentiation
    • Critical Points
  • Task 3a
  • Task 3b
  • Task 4
  • Bonus material
• Lab 10: A Very Basic Program
  • Task 1
  • Integers
  • Task 2
  • Task 3
  • Challenge
• Lab 11: Root Finding and Newton’s Method
  • Root-Finding by the IVT
  • Task 1
  • Task 2
  • Newton’s Method
  • Task 3
  • Task 4
• Lab 12: One-dimensional Optimization and Gradient Descent
  • Newton’s Method for optimization
  • Task 1
  • Task 2
  • Descent Methods
  • The Method of Steepest Descent
  • Task 3
  • Task 4
• Lab 13: Exploring Sequences and Limit Points
  • Task 1
  • Task 2
  • Enumerating the Rationals
  • Task 3
• Lab 14: Riemann Sums
  • Task 1
  • Task 2
  • Task 3
  • Task 4
  • Task 5
• Lab 15: Monte Carlo Integration
  • Volume Estimation
  • Task 1
  • Integral Estimation
  • Task 2
  • Integration in Higher Dimensions
  • Task 3
• Lab 16: Geometry in Higher Dimensions
  • Fact 1
  • Task 1
  • Fact 2
  • Task 2
  • Fact 3
  • Task 3
  • Fact 4
  • Task 4
• Lab 17: Rearrangements of Conditionally Convergent Series
  • Task 1
  • Task 2
  • Task 3
  • Task 4
  • Task 5
  • Task 6
• Lab 18: K-Means Clustering
  • The K-Means Algorithm
  • Detecting Active Earthquake Regions
  • Task 1
  • Color Quantization
  • Task 2
• Lab 19: Plotting Vector Valued Functions
  • Task 1
  • Task 2
  • Task 3
  • Task 4
• Lab 20: Approximate Integration
  • Two Simple Methods
  • Task 1
  • Detour: Functions as Inputs
  • Two Improvements
  • Task 2
  • Simpson’s Rule
  • Error Bound Formulas
  • Task 3
• Lab 21: Iterating Functions
  • Task 1
  • Challenge
  • Complex Numbers
  • Task 6
• Lab 22: Fractals with Turtle
  • Google Colab
  • Other IDEs
  • The Sierpiński Triangle
• Lab 23: Finding Areas of Arbitrary Polygons
  • Polygons
    • Task 1
  • Polyhedra
    • Task 2
  • The Anti-curl
    • Task 4
  • Equation of a plane
• Lab 24: Basins of Attraction