[MAT137 home page]

- Topics: Introduction, sets, quantifiers
- Videos to watch before lecture: 1.1 through 1.6
- Slides. Note that some slide numbers have changed, as I excluded slides I didn't show during the lecture.
- Topics: Negations, conditionals, definitions and proofs
- Videos to watch before lecture: 1.7 through 1.15
- Slides.
- Topics: Review of absolute values, the idea and definition of a limit
- Videos to watch before lecture: 2.1 through 2.7
- Slides.
- Topics: More on limits.
- Videos to watch before lecture: 2.8 through 2.14
- Slides.
- Topics: Tiny bit more on limits, and continuity
- Videos to watch before lecture: all the rest of the videos in Playlist 2
- Slides. Note that you have homework for next lecture.
- Topics: Derivatives
- Videos to watch before lecture: 3.1 through 3.7, and 3.9
- Slides.
- Topics: Derivatives
- Videos to watch before lecture: all remaining videos in Playlist 3
- Slides.
- Topics: Inverse functions
- Videos to watch before lecture: all videos on Playlist 4
- Slides.
- Topics: Local extreme values, critical points, Rolle's Theorem and applications
- Videos to watch before lecture: 5.1 through 5.6 (inclusive)
- Slides.
- Topics: Mean Value Theorem and applications
- Videos to watch before lecture: all remaining videos on Playlist 5.
- Slides. Note that you have homework for next lecture.
- Topics: Limits at infinity and L'Hôpital's Rule
- Videos to watch before lecture: none!
- Slides.
**Last lecture of the term**- Topics: More on L'Hôpital's rule, concavity, and curve sketching
- Videos to watch before lecture: none!
- Slides.

- Topics: Infima, suprema, and the definition of the integral.
- Videos to watch before lecture: 7.1 through 7.7
- Slides. Note that you have homework for next lecture.
- Topics: The definition of the integral, and Riemann sums.
- Videos to watch before lecture: all remaining videos on Playlist 7.
- Slides.
- Topics: Properties of the definite integral, the FTC, and the beginnings of integration methods.
- Videos to watch before lecture: all of playlist 8, and the first four videos on playlist 9.
- Slides. Note that you have a question to think about before next class.
- Topics: Integration techiques.
- Videos to watch before lecture: all the videos on playlist 9 up to and including 9.14. Note that many of these are examples.
- Slides.
- Topics: More integration techniques, and volumes.
- Videos to watch before lecture: all the videos on playlist 9.
- Slides.
- Topics: Sequences.
- Videos to watch before lecture: all the videos on playlist 11.
- Slides.
- Topics: Improper integrals.
- Videos to watch before lecture: all the videos on playlist 12.
- Slides.
- Topics: Series.
- Videos to watch before lecture: first nine videos on playlist 13.
- Slides.
- Topics: Convergence tests for series
- Videos to watch before lecture: 13.10 through 13.17, inclusive.
- Slides.
- Topics: More on convergence tests, and power series.
- Videos to watch before lecture: 13.18, 13.19, 14.1 through 14.4.
- Slides.
- Topics: Taylor polynomials and Taylor series.
- Videos to watch before lecture: see top of page