Matius Chong

Subjects

Algebra

Questions from: "Algebra and Trigonometry" by James Stewart.

Started in late 2023, I have finished chapters 1, 2, 3, 4, 5-6, 7, and 13 on Equations and Graphs, Functions, Polynomial and Rational Functions, Exponential and Logarithmic Functions, Trigonometric Functions, Analytic Trigonometry, and Sequences and Series respectively.

  • Main Workbook. Part 1. Part 2. Part 3. Part 4.
  • Trigonometry

    • Calculus

    MIT’s OpenCourseWare courses on 18.01SC Single Variable Calculus and 18.02SC Multivariable Calculus.

    For the former, I have completed Part A of the 1st out of 5 sections which covered the basic rules of differentiation and Part A of the 1st out of 4 sections for the latter which covered Vectors, Determinants and Planes. Completion included worked examples for each session, recitation questions, watching lectures, and the problem set for each part.

    18.01SC Single Variable Calculus

    Problem Set 1

  • Session 2: Exercise.
  • Session 3: Exercise.
  • Session 4: Exercise.
  • Session 5: Exercise.
  • Session 9: Exercise.
  • Session 10: Exercise.
  • Session 11: Exercise.
  • Session 12: Exercise.
  • Session 13: Exercise.
  • Session 16: Exercise.
  • Session 17: Exercise.

    • Section 2: Applications of Differentiation

  • Session 29: Recitation Video 1. Recitation Video 2.

    • Section 5: Exploring the infinite

  • Session 87: Exercise.
  • Session 88: Exercise. Recitation Video.
  • Session 89: No exercise.
  • Session 90: Exercise. Recitation 1. Recitation 2.
  • Session 91: Exercise.
  • Session 92: Exercise.

    • 18.02SC Multivariable Calculus

  • Session 1: Problems.
  • Session 4: Problems.
  • Session 5: Problems.

    • Probability

    MITx 6.431x course on Probability.

    I obtained a mark of 78% for the 16 weeks course from 3/9/2024 to 23/12/2024 alongside my degree studies. The course covered 26 lectures, 10 problem sets and 3 exams. Certificate.

    Linear Algebra

    MIT’s 18.06SC Linear Algebra course.

    I have finished Unit I out of 3 units which covered the matrix equation Ax=b and the Four Subspaces.

    Differential Equations

    MIT’s 18.03SC Differential Equations course.

    I have finished Unit I out of 4 units which covered first order differential equations.

    Unit I

  • Session 1: Practice Problem. Problem Set.
  • Session 2: Practice Problem. Problem Set.
  • Session 3: Practice Problem. Problem Set.
  • Session 4: Practice Problem.
  • Session 5: Problem Set.
  • Session 6: Problem Solving Video. Practice Problem. Problem Set I. Problem Set II.
  • Session 7: Problem Solving Video. Practice Problem. Problem Set.
  • Session 8: Problem Solving Video.
  • Session 9: Problem Set.
  • Session 10: Problem Solving Video. Problem Set.

    • Unit II

  • Session 12: Problem Solving Video 1. Problem Set.