Applicable Linear Algebra and Linear Analysis

Math 489AB, Fall 2007

Instructor: Tyler McMillen, McCarthy 182O, 278-8208, tmcmillen at fullerton dot edu

Class room/time:  MH 442, MW 5:30 – 8:15

 

Course Syllabus

 

Fourier Series notes     Linear PDE notes    Normed Linear Spaces notes

Exam 1 Study Guide       Exam 2 Study Guide     Final Exam Study Guide

 


 

Homework

Due Date

Sections/Problems

Solutions

Monday, Sep 3

 

Section 2.1: 1, 2, 3, 6, 7, 8

Section 2.2: 2, 3, 4, 6, 8, 9, 11, 12, 14, 15, 22, 24

Section 2.3: 3, 4, 6, 7, 8, 14, 19, 20, 21, 22, 28, 30, 31

HW 1

Wednesday, Sep 5

Section 2.4: 2, 3, 4, 5, 8ab, 9, 10, 12, 13, 16, 17, 20, 21, 24

Section 2.5: 1cd, 3, 4, 5bd, 8, 9, 12, 16, 17, 21c, 24iv,vi, 26,

                    29, 30, 35, 38

HW 2

Monday, Sep 17

Section 3.1: 2, 3, 4, 9, 10, 12, 19b, 20, 22, 23, 26, 28

Section 3.2: 1c, 2, 7, 8, 12, 16, 21, 22, 25, 26, 27, 31, 36, 39

Section 3.3: 4, 6, 11, 14, 17, 18b, 20, 23b, 25, 28abc, 30,

                   32, 36a, 40

Section 3.4: 1, 2, 3, 4, 5, 6, 7, 12, 14a, 18a, 20, 22(i)(v)(vi),

                   23(v), 25, 26, 30, 31, 33

Section 3.5: 2acde, 4, 7ab, 10, 11, 12, 19bc, 21bd

Section 3.6: 8, 9, 20, 22, 23, 24, 25

HW 3

Monday, Sep 24

Section 3.4: 20

Section 3.6: 42, 45, 48, 49, 50, 52

Section 4.1: 1, 2, 3acd, 5, 8ab, 10a, 11

Section 4.2: 1, 3adf, 5bce, 6, 9

Section 4.3: 1, 2b, 3, 4c, 8, 9, 10, 14ace, 15bce, 16

Section 4.4: 1b, 2, 6, 9, 11, 12b, 14, 16, 20 (use uniformly-

                   spaced points), 33, 34, 40a, 43ab, 48, 49, 50

HW 4

Monday, Oct 1

HW 5

HW 5

Wednesday, Oct 10

Section 5.6:  1, 2, 4bc, 5ace, 7, 8, 9, 10, 13, 15, 17abc, 20a,

                    22bc, 24, 25, 26

Section 5.7:  1, 2, 5, 6, 7, 8, 16

Fourier Series:  2, 3, 4, 12(i,v), 13 from “Fourier Analysis notes”

HW 6

Monday, Oct 22

Section 7.1; 1, 2ace, 3, 5, 7, 8, 9, 10, 11, 15, 17, 19, 20, 21, 22,

                    23, 27, 30, 31, 34, 38, 41, 42, 43, 45, 51, 53, 59

Section 7.2; 1, 4, 8, 11, 12, 14ad, 17, 20, 21, 22, 24ace, 25ab,

                    26ab, 28, 29, 30

Section 7.3; 1, 3, 7, 10, 11, 12, 13, 19, 20, 23*

Section 7.4; 1, 2, 3, 7, 9, 10, 11, 12, 15, 24ab, 25ab, 27bc,

        30, 31, 34, 36, 37, 38, 41*, 43, 44, 48*, 53, 54, 56

HW 7

Monday, Oct 29

Section 7.4: 1(p,q,r), 17, 18, 19, 20, 21, 22, 40, 47, 48*, 49

PDE notes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11*

HW 8

Monday, Nov 5

Section 8.1:  1, 6, 7, 11, 13

Section 8.2:  1acef, 2, 4, 5, 8, 9, 10, 14, 15, 17, 18, 19, 20, 24, 25,

                    26, 31b, 32, 28, 42, 43

Section 8.3:  1, 2, 3bcd, 5, 8, 11, 14, 15ac, 18a, 20a, 21abc,

                    23, 26

Section 8.4:  1ad, 2ac, 3, 14ac, 16ac, 17bc, 19, 23, 34, 35, 38ac,

                    39, 40, 41, 43

Section 8.5:  1be, 2be, 4ab, 7, 8, 12, 25ac, 26b

HW 9

Monday, Nov 12

Section 8.6: 1, 2, 4, 5*, 7, 9abdef, 10, 12, 13,  15, 17, 18,

                    20*, 21

Section 9.1: 2, 3, 6, 12be, 17, 21, 22, 23, 25bd, 26bf, 31

Section 9.2: 1acefh, 3ac, 4ac, 5be, 8, 10, 20*, 22

HW 10

Monday, Dec 3

Section 9.3:  3, 5, 6, 7

Section 9.4:  2, 5, 10, 16, 17, 18, 19, 21, 24, 28, 32bd, 33b

Section 10.1:  5, 7, 9, 10, 18, 19, 21, 22, 30, 34, 36, 37, 39

Section 10.2:  2, 4, 7, 8, 11, 16, 20, 23, 24, 25, 26, 31

Section 10.3:  1, 7, 10, 11, 12(i,iie), 15, 18, 21, 22, 25,

                      26, 27, 30, 31

HW 11

Friday, Dec 7

Exercises from normed linear spaces notes.  Turn in:

2, 4(eqn 2), 5, 7, 10, 11, 14*, 15, 18*

HW 12