Calculus I
Chapter 1. Functions, Limits and Continuity
- Finding Domain: https://youtu.be/JMK9yfbRimQ
- Domain for Polynomials: https://www.youtube.com/watch?v=JMK9yfbRimQ&t=16s
- Domain for Rational Functions: https://www.youtube.com/watch?v=JMK9yfbRimQ&t=419s
- Domain for Radicals Functions: https://www.youtube.com/watch?v=JMK9yfbRimQ&t=634s
- Domain for Log Functions: https://www.youtube.com/watch?v=JMK9yfbRimQ&t=1117s
- Domain for Exponential Functions: https://www.youtube.com/watch?v=JMK9yfbRimQ&t=1439s
- Computing Limits: https://youtu.be/KEph8v1ItI4
- Limits of Indeterminate Form of Type of 0/0: https://youtu.be/pS6_7VXdpC0
- Limits at Infinity: https://youtu.be/DKU0MgRieDE
- Limits at Infinity - Polynomials: https://youtu.be/D6pPZssF83E
- Limits at Infinity - Rational: https://youtu.be/sjoTcvOMwv0
- Limits at Infinity - Radicals: https://youtu.be/GaWgJZToVX4
- Indeterminate form of type Infinity - Infinity: https://youtu.be/x2YK9x4Mfc4
- Limits of Trigonometric Functions: https://youtu.be/SQd1wb9_LFE
- Continuity: https://youtu.be/Uv1JjTcN1Ac
Chapter 2. Differentiation
- Definition of Derivative: https://youtu.be/e7-VzIDD55E
- Chain Rule: https://youtu.be/uv7oXwDQu38
- Implicit Differentiation: https://youtu.be/yy2Kvftg72k
- Equation of Tangent Line: https://youtu.be/6ipZtHYsts4
- Local Linear Approximations and Differentials: https://youtu.be/3SRzaW1Ehh0
Chapter 3. Applications of Differentiation
- Related Rates: https://youtu.be/GxgZw69oAoo
- Critical Points: https://youtu.be/hwB-Tzf8SIg
- Increasing and Decreasing Functions: https://youtu.be/xVQ4IopvWpM
- Concavity and Inflection Points: https://youtu.be/Jt4NHv9xpIE
- Relative Maxima and Minima: https://youtu.be/NZ3TF8zhu9w
- Vertical and Horizontal Asymptotes: https://youtu.be/rlLFyV0hpjs
- Sketch Even Polynomial Graphs: https://youtu.be/OOcPAZh1gOY
- Sketch Odd Polynomial Graphs: https://youtu.be/wESJVtdQGs8
- Sketch Rational Graphs: https://youtu.be/MPgUjXdVTno
- Maximum and Minimum Values: https://youtu.be/VJOWO4dBC7M
- Application of Maximum and Minimum Values: https://youtu.be/ax4dZsDAQWI
- Rolle's Theorem; Min Value Theorem: https://youtu.be/LdtB6YDqDB8
Chapter 4: Integration
- The Indefinite Integrals: https://youtu.be/lR1oHFUQBUo
- Integration by Substitution: https://youtu.be/P_BX-VNpsLI
- Definite Integral: https://youtu.be/zRIGz_i-E6Y
- The Mean Value Theorem for Integrals: https://youtu.be/PC8WcOoyTP4
- The Second Fundamental Theorem of Calculus: https://youtu.be/mC1fSsEehis
- Evaluating Definite Integrals by Substitution: https://youtu.be/hDcyGDdj-NM
Chapter 5: Applications of Integrations
- Area Between Two Curves: https://youtu.be/a7weKV6T0TA
- Volume of Solids of Revolutions
- Method of Disks/Washers Perpendicular to the x-axis: https://youtu.be/rR7bjP9M2l8
- Method of Disks/Washers Perpendicular to the y-axis: https://youtu.be/MXvopfi0CQg
- Volumes by Cylindrical Shells revolved about the y-axis: https://youtu.be/Jtgxz0ElneQ
- Volumes by Cylindrical Shells revolved about the x-axis: https://youtu.be/qAIpEild1KI
- Volumes by Disk/Washer vs Cylindrical Shells: https://youtu.be/8l-4JzTjJZA
Graph Theory
Chapter 2: Trees and Distance
- MST using Prim's algorithm: https://youtu.be/vDGWWJXAh0Q
- Chinese Postman Problem: https://youtu.be/6DAPhFlcgJ4
Chapter 3: Matchings and Factors
- Maximum Matching: https://youtu.be/IGMfHVO-bIM
- Hungarian Algorithm: https://youtu.be/-dbS_9yZ2II
Chapter 4: Connectivity and Paths
- Maximum Flow: https://youtu.be/PGyUisgF84Q
Chapter 5: Graph Colouring
- Chromatic Polynomial: https://youtu.be/BABCNBtdZWE
- Application of Graph Colourings: https://youtu.be/1C5yn0IOMJQ
Python Programming
Playlist: https://www.youtube.com/playlist?list=PL3Kq77Wcurj5P5c9k4tBqAgFEDyXYP_5L
- How to install OR-Tools on Google Colab: https://youtu.be/2q5_2M6GzGk
- Python Tutorial 1: https://youtu.be/CFaU8NCwpS4
- Python Tutorial 2: https://youtu.be/upG3kak2TQ0
