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Coursework Repository

This repository contains coursework and exams from machine learning, data science, and computational fluid dynamics classes, along with grades and feedback.

Table of Contents

Courses

DCSI 451: Exploratory Data Science

Lab Exercises:

  • LE1: 6.85 / 7
  • LE2: 6.95 / 7
  • LE3: 10 / 10
  • LE4: 9.7 / 10
  • LE5: 9.75 / 10
  • LE6: 9.95 / 10
  • LE7: 10 / 10

Exams:

  • Midterm: 9.9 / 10
  • Final: 17.6 / 20

DCSI 453: Statistical Learning, Modeling, and Prediction

Lab Exercises:

  • LE1: 7.85 / 9
  • LE2: 9 / 9
  • LE3: 8.95 / 9
  • LE4: 8.45 / 9
  • LE5: 8.9 / 9
  • LE6: 9 / 9
  • LE7: 8.8 / 9

Exams:

  • Midterm: 9.7 / 10
  • Final: 19.3 / 21

MATH 447: Computational Fluid Dynamics

Homework:

  • HW1: 35 / 40
    • Feedback: Computing ( a_n ): (4/6) Show work for evaluating the integral. (+3 points)
  • HW2: 47 / 50
    • Feedback:
      • (4.5/5) Error with coefficient
      • (7.5/9) ( u_x ) term (4.5/5) Error with collecting terms. There should not be a 1/2 in front of ( u_x ).
      • ( v_y ) term (3/3)
      • (0/1) Your answer is not consistent with the conservation law.
  • HW3: 31.5 / 40
    • Feedback:
      • (3.5/6) Solve for ( G ) (1.5/2): Missing ( i ) term. Stability conditions: (2/4) Approach is correct, but the incorrect ( G ) results in a much easier calculation.
      • (4/6) Matrix: (2/2), Eigenvalues: (1/2), Stability conditions: (1/2)
      • (8/9) Matrix: (2/2), Eigenvalues: (4/4), Stability conditions: (0/1) Explain why. Frequency: (2/2)
      • (10/11) Solving for coefficients is correct, but misinterpretation occurs. Lines 53 - 55 should be: 
        approximation0 = solution1 * ones(size(x)); % Constant approximation
  • HW4: 39 / 50
    • Feedback:
      • (6.5/10) Correct approach, but need more terms in the L.T.E.
        • Time derivative expansion: 2/2
        • Spatial derivative expansion: 3/4 (Need higher-order terms in ( \Delta x ))
        • Substitutions ( u_{tt} ), ( u_{xxt} ), ( u_{xxxxt} ): 1/3 (arise from higher-order terms)
        • Putting terms together: 0.5/1
      • (7/8) Matrix: (2/2), Eigenvalues: (1/2), Stability conditions: (1/2)
      • (10/10) Points
        • (a) (5/5)
        • (b) (5/5)

Exams:

  • Midterm: 38.5 / 50
  • Final: 42 / 50

Note: The .m MATLAB scripts that accompanied Homework 3 and 4 couldn't be recovered from Canvas.

Achievements

  • Received the highest grade in DCSI 453.
  • Achieved an A in all classes.

Topics Covered

  • Data Science and Machine Learning:

    • Exploratory Data Analysis
    • Statistical Learning and Modeling
    • Machine Learning Algorithms
    • Data Visualization Techniques
    • Deep Learning Fundamentals
    • Natural Language Processing

  • Computational Fluid Dynamics:

    • Introduction to CFD, governing equations of fluid mechanics
    • Physical and mathematical classification of PDEs, characteristics
    • Finite difference representation of PDEs
    • Taylor series and polynomial fitting
    • Stability analysis
    • Modified equation analysis
    • Wave equation
    • Heat equation
    • Laplace's equation
    • Burger's equation (inviscid and viscous)
    • Euler equations
    • Averaged equations for turbulent flows