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
Part A
Session 1: Exercise.
Recitation 1.
Recitation 2.
Session 2: Exercise.
Session 3: Exercise.
Session 4: Exercise.
Recitation.
Session 5: Exercise.
Session 6: Recitation 1.
Recitation 2.
Session 7: Recitation.
Exercise.
Session 8: Exercise.
Session 9: Recitation.
Exercise.
Session 10: Exercise.
Recitation.
Session 11: Recitation.
Exercise.
Session 12: Exercise.
Problem Set 1
Part B
Session 13: Exercise.
Session 14:
Recitation.
Exercise.
Session 15:
Recitation 1.
Recitation 2.
Exercise.
Session 16: Exercise.
Session 17: Exercise.
Recitation.
Session 18: Recitation.
Session 19: Problem a.
Problem b.
Session 20: Recitation.
Exercise.
Exam 1: Exam 1 first attempt.
Section 2: Applications of Differentiation
Session 23: Exercise.
Session 24: Exercise.
Recitation.
Session 25: Exercise.
Recitation.
Session 26: Exercise.
Recitation.
Session 27: Recitation.
Problem Set 3
Part B
Session 29: Recitation 1.
Recitation 2.
Session 30: Recitation.
Exercise.
Session 31: Recitation 1.
Recitation 2.
Exercise.
Session 32: No Exercise.
Session 33: Exercise.
Recitation.
Problem Set 4
Part C
Session 34: Recitation.
Exercise.
Session 35: Exercise.
Recitation 1.
Recitation 2.
Session 36: Recitation 1.
Recitation 2.
Exercise.
Session 37: Recitation.
Exercise.
Session 38: Recitation.
Exercise.
Session 39: Exercise.
Session 40: Exercise.
Recitation 1.
Recitation 2.
Section 3: The Definite Integral and its Applications
Part A
Session 43: Exercise.
Session 44: Recitation.
Exercise.
Session 45: Exercise.
Session 46: Exercise.
Recitation 1.
Recitation 2.
Recitation 3.
Session 47: Recitation.
Exercise.
Session 48: Exercise.
Session 49: Recitation.
Exercise.
Part B
Session 51:
Recitation 1.
Recitation 2.
Recitation 3.
Session 52: No Exercise.
Session 53: No Exercise.
Session 54: Exercise.
Session 55: Exercise.
Session 56: Recitation 1.
Recitation 2.
Exercise.
Session 57: Exercise.
Session 58: Exercise.
Session 59: Recitation 1.
Recitation 2.
Exercise.
Part C
Session 60: Recitation.
Exercise.
Session 61: Exercise.
Session 62: Recitation.
Section 4: Techniques of Integration
Part A
Session 68: Recitation 1.
Recitation 2.
Exercise.
Session 69: Exercise.
Session 70: Exercise.
Session 71: Recitation.
Exercise.
Session 72: Exercise.
Recitation.
Session 73: Recitation.
Exercise.
Part B
Session 74: Exercise.
Session 75: Exercise 1.
Exercise 2.
Recitation.
Session 76: Recitation 1.
Recitation 2.
Exercise.
Session 77: No exercise.
Session 78: Recitation.
Exercise.
Session 79: Recitation.
Exercise.
Part C
Session 80: Recitation.
Exercise.
Session 81: Exercise.
Session 82: Recitation.
Session 83: No exercise.
Session 84: Recitation.
Section 5: Exploring the infinite
Part A
Session 87: Exercise.
Session 88: Exercise.
Recitation.
Session 89: No exercise.
Session 90: Exercise.
Recitation 1.
Recitation 2.
Session 91: Exercise.
Recitation 1.
Recitation 2.
Session 92: Exercise.
Recitation.
Session 93: No exercise.
Part B
Session 94: Exercise.
Recitation.
Session 95: Recitation 1.
Recitation 2.
Exercise.
Recitation 3.
Recitation 4.
Session 96: No exercise.
Session 97:
Recitation 1.
Exercise.
Recitation 2.
Session 98:
Recitation 1.
Recitation 2.
Exercise.
Session 99: Recitation.
Session 100:
Recitation.
Exercise.
Session 101:
Recitation.
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.