Calendar + Notes

Course Calendar (tentative)

8.8 (M)

  • local extrema and critical points, second derivative test

  • Lagrange multiplier method

8.10 (W)

  • EXAM 3 (Tuesday 10pm to Wednesday 11:59pm)

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7.6 (W)

  • Introductions

  • thinking about areas and distance

  • riemann sums

  • definite integral: properties and interpretation

7.11 (M)

  • area functions

  • fundamental theorem of calculus (FTC) 1 & 2

  • application of FTC1&2

7.13 (W)

  • net change theorem

  • techniques of integration: substitution and algebra

  • area between curves

  • mass from density

7.18 (M)

  • technique of integration: integration by parts (IBP)

  • improper integral 1 & 2

7.20 (W) (beginning of differential equation)

  • introduction to differential equations and modelling

  • slope fields

  • checking solutions to differential equation

7.21 (Th) EXAM#1 take-home due @11:59pm

7.25 (M)

  • qualitative analysis of autonomous equation

  • separable equations

  • models for population growth

7.27 (W)

  • models for mixing

  • linear equations: definition, modeling and solving

8.1 (M) (beginning of multivariable)

  • intro to multivariable functions

  • visualizing f(x,y) = z via graphs and contour maps

8.2 (Tu) EXAM#2 take-home due @11:59pm

8.3 (W)

  • traces and partial derivatives: estimating, visualizing, computing

  • linear approximation and the total differential

  • second partial derivatives

Notes