Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
18.024ESG Problem Set 4 Pramod N. Achar
 

Summary: 18.024­ESG Problem Set 4
Pramod N. Achar
Spring 2000
Thursday
1. Let f, g : A R3
be two differentiable functions, where A R. Prove
the product rule for cross product; viz.,
D(f × g) = Df × g + f × Dg.
Be careful when manipulating this formula: remember that the cross prod-
uct, unlike multiplication in R, is not commutative.
2. Exercises 1 and 6 in Section 14.4 of Apostol, Volume I.
3. Exercises 8 and 12 in Section 14.4 of Apostol, Volume I. For Exercise 12,
recall that the hyperbolic cosine function is defined by the formula
cosh x =
ex
+ e-x
2
.
4. (Optional) Let f and g be two matrix-valued functions defined on some
domain A R. We can define the notions of limit, derivative, and integral

  

Source: Achar, Pramod - Department of Mathematics, Louisiana State University

 

Collections: Mathematics