Updates

Update 3

• + Explain somewhere the meaning of solving an equation by taking the log on both sides
• + Explain linear approximation and the concept of the derivative being the best approximation of a function near a point
• + Prove Wierstrass
• + Prove continuity of a function
• + Conditions for differentiability
• + Polar coordinates
• Examples of polar coordinates
• + Parametric equations
• + Properties of limits
• + Notation of derivatives
• + Explains derivatives of higher orders
• Chain rule
• Where to add transcendental functions?
• + Explain the notation dy/dx (guidorizzi has it)
• + Limits at infinity, explain better than "Because x^2 grows without limits"
• + Properties of derivatives
• Max and min
• It may be wrong to say "for each epsilon", check that
• Synthetic polynomial division
• + Add proofs or at least links to the basic algebraic properties (add in that chapter, long division of polynomials and completing the square)
• + Missing mention to asymptotes in limits
• + Formulas of derivatives, prove the basic ones
• Sketch the graphs using derivatives, limits
• The explanation for dy/dx may be confusing or misleading, check that and compare to the rate of change for velocity.
• + Conceptual mistake about limits. We aren't dividing by zero, but what about a limit where we do multiply by zero? The mistake is that we have to consider the function's domain.
• Implicit differentiation
• Differentiation of f(x)^g(x)

Teachers often don't mention this. The area of a rectangle can be made larger or smaller than the area of the graph of a function. Somewhere in between the area of the rectangle matches the area under the curve. The function that represents the variation in the area is the derivative itself!

List de pessoas para contactar

• Física com o Douglas
• Rafael Procópio, matematica rio
• Julia, matemaníaca
• Teaching calculus, Lin McMullin
• Paul Dawkins
• Nerckie
• Luiz Aquino
• ulysses@uel.br
• Susane ribeiro, ita
• IMPA, PAPMEM
• Jo Boaler
• Jason Moser, Michigan
• Eduardo Wagner, FGV
• umlivroaberto.com
• Lara Alcock, UK
• Professorleonard57@gmail.com
• Dan Finkel, mathforlove
• Kalid Azad, better explained
• https://www.mindresearch.org/contact-us
• Edward (William) Tavernetti, UC Davis
• Margot Gerritsen, Stanford
• Daniel Ashlock,
• Jan Cannizzo
• Matthew Oldridge
• Miroslav Lovric
• Richard C. Larson, MIT blossoms
• Denise Pope, Stanford