# L5201 Resources

Videos for next class: Videos 14.5 through 14.10. You may also want to re-watch videos 14.3 and 14.4 to remind yourself about them.

## Lecture 1 - 7 Sep 2017

• 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.

## Lecture 2 - 14 Sep 2017

• Topics: Negations, conditionals, definitions and proofs
• Videos to watch before lecture: 1.7 through 1.15
• Slides.

## Lecture 3 - 21 Sep 2017

• Topics: Review of absolute values, the idea and definition of a limit
• Videos to watch before lecture: 2.1 through 2.7
• Slides.

## Lecture 4 - 28 Sep 2017

• Topics: More on limits.
• Videos to watch before lecture: 2.8 through 2.14
• Slides.

## Lecture 5 - 5 Oct 2017

• 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.

## Lecture 6 - 12 Oct 2017

• Topics: Derivatives
• Videos to watch before lecture: 3.1 through 3.7, and 3.9
• Slides.

## Lecture 7 - 19 Oct 2017

• Topics: Derivatives
• Videos to watch before lecture: all remaining videos in Playlist 3
• Slides.

## Lecture 8 - 26 Oct 2017

• Topics: Inverse functions
• Videos to watch before lecture: all videos on Playlist 4
• Slides.

## Lecture 9 - 02 Nov 2017

• Topics: Local extreme values, critical points, Rolle's Theorem and applications
• Videos to watch before lecture: 5.1 through 5.6 (inclusive)
• Slides.

## Lecture 10 - 16 Nov 2017

• 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.

## Lecture 11 - 23 Nov 2017

• Topics: Limits at infinity and L'Hôpital's Rule
• Videos to watch before lecture: none!
• Slides.

## Lecture 12 - 30 Nov 2017

• Last lecture of the term
• Topics: More on L'Hôpital's rule, concavity, and curve sketching
• Videos to watch before lecture: none!
• Slides.

## Lecture 01 - 04 Jan 2018

• 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.

## Lecture 02 - 11 Jan 2018

• Topics: The definition of the integral, and Riemann sums.
• Videos to watch before lecture: all remaining videos on Playlist 7.
• Slides.

## Lecture 03 - 18 Jan 2018

• 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.

## Lecture 04 - 25 Jan 2018

• 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.

## Lecture 05 - 01 Feb 2018

• Topics: More integration techniques, and volumes.
• Videos to watch before lecture: all the videos on playlist 9.
• Slides.

## Lecture 06 - 08 Feb 2018

• Topics: Sequences.
• Videos to watch before lecture: all the videos on playlist 11.
• Slides.

## Lecture 07 - 15 Feb 2018

• Topics: Improper integrals.
• Videos to watch before lecture: all the videos on playlist 12.
• Slides.

## Lecture 08 - 1 Mar 2018

• Topics: Series.
• Videos to watch before lecture: first nine videos on playlist 13.
• Slides.

## Lecture 09 - 8 Mar 2018

• Topics: Convergence tests for series
• Videos to watch before lecture: 13.10 through 13.17, inclusive.
• Slides.

## Lecture 10 - 15 Mar 2018

• Topics: More on convergence tests, and power series.
• Videos to watch before lecture: 13.18, 13.19, 14.1 through 14.4.
• Slides.

## Lecture 11 - 22 Mar 2018

• Topics: Taylor polynomials and Taylor series.
• Videos to watch before lecture: see top of page