Math 115 - Homework 12

Due in recitation Wednesday Nov. 29 or Friday Dec. 1.

Reading: Sections II.1, II.2, III.1, and III.2 of [H].

Maple :

• Download and go through: Other topics "Least-squares linear fits (Maple commands), double integrals".
• Download and go through: Other topics "Matrices in Maple -- row operations, Gauss elimination".
• Core Problems : Sections II.1, II.2, III.1, and III.2 of [H]. You can use Maple to do those problems with the graph symbol next to them.

Other problems :

• Section 12.5[C]: 33, 34, 41, 42
• Problem: Let HP be the hyperplane (in 4 dimensions) through the point (0,2,1,-1) with normal [1 1 1 1]. Find the point on HP closest to p=(1,1,0,0)
• Problem: Let L be the line (in 5 dimensions) through (1,2,1,1,2) tangent to the vector [0 3 0 4 0]. Find the point on L closest to p=(2,0,0,1,1)

Sample Exam Questions:

Texts :

• [C] Thomas’ Calculus Early Transcendentals Custom Edition for the University of Pennsylvania Pearson 2011. ISBN 10: 1-256-32659-3 ISBN 13: 978-1-256-32659-5.
• [P] Schaum's Outlines Series "Probability", 2nd edition, by Seymour Lipschutz, McGraw Hill ISBN 0-07-135203-1 or 0-07-175561-0.