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
  • DCSI 453: Statistical Learning, Modeling, and Prediction
  • MATH 447: Computational Fluid Dynamics
• Achievements
• Topics Covered

---

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

---