📔 Multivariable Calculus

📌 Logistics: These notes have been compiled from coursework undertaken at ISI and IISc. Further materials are in preparation and will be made available in due course.

• Lec-1: Introduction to Calculus
• Lec-2: Review of Continuity.
• Lec-3: Derivatives.
• Lec-4: Continuously Differentiable Functions
• Lec-5: Properties of Derivatives
• Lec-6: Product rule and Lipschitz’s property
• Lec-7: Chain rule and Mean Value Theorem
• Lec-8: Inverse Function Theorem-I
• Lec-9: Inverse Function Theorem-II
• Lec-10: Inverse Function Theorem-III
• Lec-11: Implicit Function Theorem-I
• Lec-12: Implicit Function Theorem-II
• Lec-13: Implicit Function Theorem-III
• Lec-14: Taylor’s Theorem
• Lec-15: Local Maxima and Minima-I
• Lec-16: Local Maxima and Minima-II
• Lec-17: Manifolds
• Lec-18: Integration-I
• Lec-19: Integration-II
• Lec-20: Fubini’s Theorem-I
• Lec-21: Fubini’s Theorem-II
• Lec-22: Change of Variables-I
• Lec-23: Change of Variables-II