local extrema and critical points, second derivative test
Lagrange multiplier method
EXAM 3 (Tuesday 10pm to Wednesday 11:59pm)
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Introductions
thinking about areas and distance
riemann sums
definite integral: properties and interpretation
area functions
fundamental theorem of calculus (FTC) 1 & 2
application of FTC1&2
net change theorem
techniques of integration: substitution and algebra
area between curves
mass from density
technique of integration: integration by parts (IBP)
improper integral 1 & 2
introduction to differential equations and modelling
slope fields
checking solutions to differential equation
qualitative analysis of autonomous equation
separable equations
models for population growth
models for mixing
linear equations: definition, modeling and solving
intro to multivariable functions
visualizing f(x,y) = z via graphs and contour maps
traces and partial derivatives: estimating, visualizing, computing
linear approximation and the total differential
second partial derivatives
July 6th (Riemann sum, definite integral)
July 11th (area functions, FTC 1 & 2)
July 13th (net change theorem, substitution, area between curves, mass from density)
July 18th (integration by parts, improper integrals)
July 20th
July 25th
the recording today was bugged :( Here are some YouTube videos:
separable equation: video 1, video 2, khan academy <3
population model: exponential, logistic. (I will redo the general solution part next time)
July 27th
Aug 1st
recording (mostly muted :( )
Aug 3rd
Aug 8th