math 285, the week of August 25

Brash up your calculus. Review Chapter 1.1. Listen to the first lecture.

Homework (due by Monday, 9.1):

  1. For which \(x\) there exists a real solution to
    \[
    y^2-4xy+4=0?
    \]
  2. Simplify
    \[
    \frac{\sin(x+y)-\sin(x-y)}{\sin(y)}.
    \]
  3. Solve differential equations
    \[
    y’=\sin(2x+3)
    \]
    and
  4. \[
    y’=\frac{1}{1+t^2}
    \]

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