Real-time lecture slides will be posted here. [So far this has not been workable in reality.]

Lecture notes:

2020 August 13, updated 2020 August 14.

2020 August 13, supplement, updated 2020 August 12.

2020 August 11, updated 2020 August 11.

2020 August 11, supplement (on linear solutions), updated 2020 August 17.

2020 August 6, supplement, updated 2020 August 12 [x and y in (3) should have been x' and y'].

2020 July 27 -- August 6, partial. Updated 2020 August 8.

2020 July 21 -- 23, updated 2020 July 27.

2020 July 14 -- 16, updated 2020 August 12 [two typos fixed].

2020 July 7 -- 9, updated 2020 July 13.

2020 June 9 -- 11, updated 2020 June 22.

2020 June 2 -- 4, updated 2020 June 13.

2020 May 28, updated 2020 June 15.

2020 May 26, updated 2020 May 28.

2020 May 19 -- 21, updated 2020 May 27.

2020 May 14 (partial), updated 2020 May 25.

2020 May 12 -- 14, updated 2020 May 16.

2020 May 7, updated 2020 May 11.

2020 May 5, updated 2020 May 6.

Definitions and basic results will be gathered together here (last updated 2020 May 16).

Review notes on multivariable calculus and linear algebra are available here.

This document contains all of the foregoing through the end of June in one PDF file. Updated 2020 June 22.

This document contains the foregoing from July and August. Updated 2020 August 20.

The collected versions above are provided for ease of reference; they may have errors which have been corrected in the individual versions above.