### Class videos.

The lectures are edited versions from a previous semester of MAT125, but they cover the same material as the current semester, in pretty much the same order.The other videos are supplemental videos, intended to be watched

*before*the corresponding class. These are much shorter.

- Lecture 01: Course info and precalculus review. ()
- Introduction to Limits, pre-lecture. ()
- Definition of the Limit (optional material). ()
- Lecture 02: Tangents, velocity, and limits. ()
- Lecture 03: Limits, Limits involving infinity. ()
- Definition of the Derivative, pre-lecture. ()
- Lecture 04: Limits and Continuity. ()
- Lecture 05: Definition of the Derivative. ()
- Lecture 06: The function f'(x); what does f' say about f?. ()
- Midterm I Review Session. ()
- Lecture 07: The power rule & some review. ()
- Lecture 08: Some more review. ()
- The derivative of exponentials, pre-lecture. ()
- Lecture 09: The product and quotient rules. ()
- Lecture 10: Derivatives of trigonmetric functions. ()
- Intuitive explanation of the Chain Rule. ()
- Lecture 11: The chain rule. ()
- Lecture 12: Implicit differentiation. ()
- Lecture 13: Derivative of logarithmic functions. ()
- Lecture 14: Derivative of inverse trig & logarithmic differentiation. ()
- Midterm II Review Session.
- Lecture 15: Review for second midterm. ()
- Lecture 16: Linear approximations and differentials . ()
- Lecture 17: Related rates. ()
- Lecture 18: More related rates, local maxima/minima . ()
- Lecture 19: Max/min and curve sketching. ()
- Lecture 20: Derivatives and the shape of curves. ()
- Lecture 21: Optimization word problems (first 9 minutes of audio missing). ()
- Lecture 22: More optimization, some review. ()
- Lecture 23: l'Hopital's rule and Newton's method.
- Lecture 24: Antiderivatives.
- Lecture 25: some review for final. ()
- Lecture 26: more review.
- Final Review Session .