Calculus
MIT’s OpenCourseWare course on 18.01SC Single Variable Calculus.
I had done some questions on and off before around the end of 2024. However, I had only started to seriously
work through the course after graduation, which was around late July 2025. Hence, you could see jumps in
between dates on some of the worksheets, for example: certain problems in Section 1 were completed during Dec 2024/Jan 2025
but I had completed the rest during July or August of 2025. Completion included worked examples for each session,
recitation questions, watching lectures, and the problem set for each part.
Section 1: Differentiation
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.
Problem Set 2
Exam 1: Exam 1.
Section 2: Applications of Differentiation
Part A
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.
Problem Set 5
Exam 2: Exam 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.
Session 50: Exercise.
Problem Set 6
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.
Problem Set 7
Part C
Session 60: Recitation.
Exercise.
Session 61: Exercise.
Session 62: Recitation.
Session 63: Recitation 1.
Recitation 2.
Exercise.
Session 64: Exercise.
Session 65: No Exercise.
Problem Set 8
Exam 3: Exam 3.
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.
Problem Set 9
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.
Problem Set 10
Part C
Session 80: Recitation.
Exercise.
Session 81: Exercise.
Session 82: Recitation.
Session 83: No exercise.
Session 84: Recitation.
Problem Set 11
Exam 4: Exam 4.
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.
No Problem Set
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.
No Problem Set
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.
Units
Unit 1: Probability models and axioms
Unit 2: Conditioning and independence
Unit 3: Counting
Unit 4: Discrete random variables
Unit 5: Continuous random variables
Unit 6: Further topics on random variables
Unit 7: Bayesian inference
Unit 8: Limit theorems and classical statistics
Unit 9: Bernoulli and Poisson processes
Unit 10: Markov chains