Warning: this is an htmlized version!
The original is here, and
the conversion rules are here.
% (find-LATEX "2020-1-C3-dicas-p1.tex")
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% (find-sh0 "cp -v  ~/LATEX/2020-1-C3-dicas-p1.pdf /tmp/")
% (find-sh0 "cp -v  ~/LATEX/2020-1-C3-dicas-p1.pdf /tmp/pen/")
%   file:///home/edrx/LATEX/2020-1-C3-dicas-p1.pdf
%               file:///tmp/2020-1-C3-dicas-p1.pdf
%           file:///tmp/pen/2020-1-C3-dicas-p1.pdf
% http://angg.twu.net/LATEX/2020-1-C3-dicas-p1.pdf
% (find-LATEX "2019.mk")
% (find-C3-aula-links "2020-1-C3-dicas-p1" "dp1" "dp1")

% «.dicas»		(to "dicas")
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%  _____ _ _   _                               
% |_   _(_) |_| | ___   _ __   __ _  __ _  ___ 
%   | | | | __| |/ _ \ | '_ \ / _` |/ _` |/ _ \
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%   |_| |_|\__|_|\___| | .__/ \__,_|\__, |\___|
%                      |_|          |___/      
%
% «title»  (to ".title")
% (c3m201dp1p 1 "title")
% (c3m201dp1a   "title")

\thispagestyle{empty}

\begin{center}

\vspace*{1.2cm}

{\bf \Large Cálculo 3 - 2020.1}

\bsk

Dicas pra estudar pra P1

\bsk

Eduardo Ochs - RCN/PURO/UFF

\url{http://angg.twu.net/2020.1-C3.html}

\end{center}

\newpage

% «dicas»  (to ".dicas")
% (c3m201dp1p 2 "dicas")
% (c3m201dp1    "dicas")

{\bf Dicas}

% (c3m201introp)
% (c3m201intro)

\ssk

Aula 2: Vetores tangentes em $\R^2$

Refaça o exercício 4.

% (c3m201vtp)
% (c3m201vt)
% (c3m201vtp 8 "exercicio-4")
% (c3m201vt    "exercicio-4")

\msk

Aulas 3 e 4: Aproximações de 1ª e 2ª ordem

Refaça o exercício 5.

% (c3m201taylor1p)
% (c3m201taylor1)
% (c3m201taylor1p 18 "exercicio-5")
% (c3m201taylor1     "exercicio-5")

\msk

Aula 5 e 6: Aproximações de 1ª e 2ª ordem: algumas aplicações

Refaça os exercícios 1 até 4.

Tem um scan da resposta no próximo PDF.

% (c3m201taylor2p)
% (c3m201taylor2)

\msk

% «aulas-7-e-8»  (to ".aulas-7-e-8")
% (c3m201dp1p 2 "aulas-7-e-8")
% (c3m201dp1    "aulas-7-e-8")

Aulas 7 e 8: dx, $Δx$ e série de Taylor

Refaça os exercícios 1 e 4.

% (c3m201taylor3p)
% (c3m201taylor3)
% (c3m201taylor3p 5 "exercicio-1")
% (c3m201taylor3    "exercicio-1")
% (c3m201taylor3p 9 "exercicio-4")
% (c3m201taylor3    "exercicio-4")

\msk

Aulas 9 e 10: introdução a superfícies e curvas de nível

Refaça os exercícios 1a, 1b, 1c.

Refaça os exercícios 2a e 2b.

% (c3m201sups1p)
% (c3m201sups1)

\newpage

Aulas 11 e 12: Alguns truques para visualizar superfícies

Tente fazer os exercícios 1b--1f sem fazer o diagrama de

numerozinhos.

% (c3m201sups2p)
% (c3m201sups2)

\msk

% «aula-13»  (to ".aula-13")
% (c3m201dp1p 3 "aula-13")
% (c3m201dp1    "aula-13")
% (c3m201derpsp)
% (c3m201derps)

Aula 13: Derivadas parciais

Marque só estes pontos no diagram de numerozinhos:

$$\begin{array}{lll}
              & F(2,5) = 0 & \\
F(1,4) ≈ 2.83 & F(2,4) ≈ 2.24 & F(3,4) = 0 \\
              & F(2,3) ≈ 3.46 & \\
\end{array}
$$

e use-os para fazer o exercício 2.

Releia o exercício 3, sobre tipar tudo --- ele é muito importante.

% (eepitch-lua51)
% (eepitch-kill)
% (eepitch-lua51)
% f = function (x,y)
%     local z = math.sqrt(25 - x*x - y*y)
%     print(x, y, z)
%   end
% f(2,4)
% f(2,4+1)
% f(2,4-1)
% f(2+1,4)
% f(2-1,4)

\msk


% (c3m201pltanp)
% (c3m201pltan)
% (c3m201pltanp 4 "exercicio-2")
% (c3m201pltan    "exercicio-2")
% (c3m201pltanp 9 "exercicio-4")
% (c3m201pltan    "exercicio-4")

Aula 14 e 15: Introdução a planos tangentes e à derivada

Refaça os exercícios 2a, 2g--2k, 4e, 4f.

\newpage

Aula 18: Derivadas parciais de ordem mais alta

Já revisamos no mini-teste.

% (c3m201Fxyp)
% (c3m201Fxy)

\msk

% (c3m201aprox2aop)
% (c3m201aprox2ao)

Aula 19: aproximações de 2ª ordem em $\R^2$

Faça no exercício 2 o item a e o caso 5 do item b.

\msk

% (c3m201dp1p)
% (c3m201dp1)




\end{document}

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% | |\/| |/ _` | |/ / _ \
% | |  | | (_| |   <  __/
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%                        
% <make>

* (eepitch-shell)
* (eepitch-kill)
* (eepitch-shell)
# (find-LATEXfile "2019planar-has-1.mk")
make -f 2019.mk STEM=2020-1-C3-dicas-p1 veryclean
make -f 2019.mk STEM=2020-1-C3-dicas-p1 pdf

% Local Variables:
% coding: utf-8-unix
% ee-tla: "c3m201dp1"
% End: