Lecture Notes
- Below are links to rough lecture notes for the (multivariable)
calculus portion of the course (where we have no text). They are
meant to be convenient, but not definitive. In particular, there may
be (lots of!) typos. Please inform Dagan of typos and other errors.
- Lecture 1: Multivariable Limits
- Lecture 2: Differentiability and Continuity in One Variable
- Lecture 3: Partial Derivatives and Differentiability of Scalar Valued Functions
- Lecture 4: Differentiation Theorems in One Variable
- Lecture 5: The Chain Rule
- Lecture 6: Mean Value Theorem, L'hopital's Rule
- Lecture 7: Definition of Definite Integral
- Lecture 8: FTOC
- Lecture 9: Natural Logarithm: Definition and Properties
- Lecture 10: Exponential Functions
- Lecture 11: Taylor Polynomials
- Lecture 12: Multivariable Approximations, Taylor Series
- Lecture13: Geometric Series and the Divergence Test
- Lecture14: Convergence Tests