# Parker Glynn-Adey

## MAT B41 — Week 5

Posted in 2018 -- MAT B41, Lecture Notes, Uncategorized by pgadey on 2018/06/05

Mock Midterm this Friday 12-2pm in IC 130. Midterm Test next week!

Several people asked about Question 7 off of Homework #3. The intent of the question was for $f(u,v)$ to be undefined. This is different from the textbook, where the function $f(u,v)$ is given explicitly. You may write $\frac{\partial f}{\partial u}$ and $\frac{\partial f}{\partial v}$ without knowing the function $f(u,v)$.

Additional resources:

Suggested Exercises:

• 3.1 Iterated Partial Derivatives: 1, 2, 3, 4, 5, 6, 7, 12, 14, 15, 16
• 3.2 Taylor’s Theorem: 1, 2, 5, 9

Past Term Tests:

2016 Term Test:
Give the 4th degree Taylor polynomial about the origin of $f(x,y) = e^{-xy} \arctan(x)$.

2015 Term Test:

• Compute the 4th degree Taylor polynomial about the origin of $f(x,y) = e^{y^2} \sin(x+y)$.
• Find the linear approximation to the function $f(x,y) = \frac{x+2}{4y-2}$ at the point $(2,3)$ and use it to estimate $f(2.1, 2.9)$.

Notes:

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