Math S 21a Announcements

Click on one of the pictures to see it large. (The right picture was redrawn by some AI helper.) 
W1 6/24  Coordinates, vectors, dot product [U1], [U2]
   6/26  Cross product, lines and planes   [U3], [U4]
W2 7/1   Implicit and Parametric Surfaces [U5], [U6]
   7/3   Curves arc length and curvature [U7], [U8]
W3 7/8   PDE's and linearization, then Review Mid 1 [U9], [U10]
   7/10  Mid 1, chain rule and gradient [U11], [U12]
W4 7/15  Extrema and Lagrange [U13], [U14]
   7/17  Double integrals and polar integration [U15], [U16]
W5 7/22  Review for second midterm, Triple integrals  [17],[U18
   7/24  Second midterm, vector fields line integral theorem [19],[U20
W6 7/29  Greens theorem, curl, div and flux, Lab workshop  [21],  [22]
   7/31  Stokes and Divergence theorem  [23],  [24]
W7 8/5   Global review for the final   [Abstracts PDF]
   8/7   Comprehensive final 3 hour exam
Elementary and Intermediate Algebra topics are important also in more advanced calculus course like this. The reason is that you do not want to have to fight basic algebra issues. Once they are hardwired in, you can learn more easily also heavy stuff. Here is something which emerged on a "warm-up project", I had been working on from 2022-2023: