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MONTH
or WEEK
| DAY
| Topic, Event
| Chapter & Section;
Practice Problems
| Assigned Problems
Due at 2nd Following Class
C: Computational, P: Proof
E: Extra Credit (optional)
|
«Die Mathematiker sind eine Art Franzosen; redet man mit ihnen,
so übersetzen sie es in ihre Sprache, und dann ist es alsobald
ganz etwas anderes.» J.W.v.Goethe
|
All ISU undergraduate students are invited to participate
in the Problem of the
Week Contest.
|
Math 317 Homework: Each homework
assignment is due at the second class meeting following the
day it is assigned. Thus (unless a holiday intervenes) an assignment
made on a Monday is due on Thursday of the same week; an assignment
made Friday is due the following Tuesday, &c.
See Evaluation of Homework
for grading criteria.
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| JANUARY
|
| |
| Chapter 1: Vectors & Matrices |
| |
| WEEK 1
| 9-13 January
|
|
| Mon 9
| Course Introduction
Syllabus, Objectives
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|
|
|
|
| Vectors
| §1.1 #3-5, 6bf, 7, 15
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|
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| Tue 10
| (continued)
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| §1.1 C:16, P:20
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|
| Thu 12
| Dot Product
| §1.2 #1cf, 4, 8, 13
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|
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| Fri 13
| ... continued
|
| §1.2 C:21, P:18
E: Condition for equality in #18.
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| WEEK 2
| (16) - 20 January
|
|
| Mon 16
|
Martin Luther King Day Holiday
No class meeting
|
|
| Tue 17
| Hyperplanes in Rn
| §1.3 #1f, 3d, 4c, 6c, 10
| §1.3 C:9, P:11(a)
|
|
| Thu 19
| Systems of Linear Equations and
Gaussian Elimination
Sage RREF demonstration.
Get Sage here.
| §1.4 #2, 3eg, 10a, 13
|
|
|
| Fri 20
| ... Continued
|
| §1.4 C:11b, P:14
|
| WEEK 3
| 23 - 27 January
|
|
| Mon 23
| The Theory of Linear Systems
| §1.5 #2, 3d, 7, 12, 14
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|
|
| Tue 24
| ... continued
|
| §1.5 C:7a, P:11
|
|
| Thu 26
| Some Applications
| §1.6 #3, 9, 12a, 13a, 17
| §1.6 C:7a, P:7b
|
| |
| Chapter 2: Matrix Algebra |
| |
|
| Fri 27
| Matrix Operations
| §2.1 #1e-l, 2, 6, 12, 14
|
|
| WEEK 4
| 20 January - 3 February
|
|
| Mon 30
| Matrix Operations (continued)
Linear Transformations: An Introduction
| §2.2 #3a, 4a, 6, 7
| §2.1 C:7a, P:10
|
|
| Tue 31
| Linear Transformations (continued)
|
| Due Tuesday 7 Feb:
§2.2 C:9, P:10
|
| FEBRUARY
|
|
| Thu 2
| In-class Exercise:
REVIEW of Chapters 1 & 2.1-2.
| §1.3 #1f
§1.5 #12cd
§2.1 #12bd (3×3 case)
§2.2 #6
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|
|
| Fri 3
| Exam 1: Chapters 1 & 2.1-2.
Objectives for Exam 1.
This is a closed-book exam.
Sample Solutions.
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|
|
| WEEK 5
| 6 - 10 February
|
|
| Mon 6
| Inverse Matrices
| §2.3 #1adf, 2c, 6ab, 13abc, 14a
| §2.3 C:6c, P:11
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|
| Tue 7
| Elementary Matrices
| §2.4 #1, 3, 5b, 6a, 11, 12
|
|
|
| Thu 9
| Elementary Matrices (cont.)
The Transpose
| §2.5 #1begj, 2ah, 3b, 4, 5, 8, 9, 21
| Due Tuesday, Feb 14
§2.4 C:6b, P:8
|
|
| Fri 10
| IN-CLASS EXERCISE:
Orthogonal Matrices
§2.5 #19ace.
|
| §2.5 C:14, P:22
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| |
| Chapter 3: Vector Spaces |
| |
| WEEK 6
| 13 - 17 February
|
|
| Mon 13
| Subspaces of Rn
| §3.1 #1, 3, 6, 9d, 10, 15, 18
|
|
|
| Tue 14
| ... continued
|
| §3.1 C:9e, P:14
|
|
| Thu 16
| The Four Fundamental Subspaces
Reference:
The Fundamental Theorem
of Linear Algebra, by Gilbert Strang.
| §3.2 #1, 2b, 4, 8, 13
| Due Tuesday, 21 Feb:
§3.2 C:3c, P:10
|
|
| Fri 17
| IN-CLASS EXERCISE:
Linear Independence
| §3.3 #1, 2, 4, 6, 7, 10, 11, 14-20
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|
| WEEK 7
| 20 - 24 February
|
|
| Mon 20
| Linear Independence and Basis (continued)
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| Due Friday, 7 Oct:
§3.3 C:5b, P:21
|
|
| Tue 21
| Dimension and its Consequences
| §3.4 #1, 5, 9, 10b, 14, 19-21
|
|
|
| Thu 23
|
|
| §3.4 C:3c, P:22
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|
| Fri 24
| Abstract Vector Spaces
| §3.6 #2, 6bcd, 7, 9-11, 16
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|
| WEEK 8
| 27 February - 2 March
|
|
| Mon 27
| ... continued
|
| Due Monday, 17 Oct:
§3.6 C:17, P:19ac
Prove too: constant functions are in W ⊥.
Extra Credit: P:19b.
Prove W ⊥ contains
only constant functions.
|
|
| Tue 28
| In-class Exercise
REVIEW OF §§2.3-5 AND CHAPTER 3
| §2.3 #14a
§3.3 #18
§3.4 #12
§3.6 #6b
|
|
| MARCH
|
|
| Thu 1
| Exam 2: Thru Chapter 3.
Objectives for Exam 2.
Sample Solutions for Exam 2.
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|
|
| |
| Chapter 4: Projections and Linear Transformations |
| |
|
| Fri 2
| Inconsistent Systems; Projection
| §4.1 #2-4, 6-7, 12-14
| Due Thursday 20 Oct:
§4.1 C:10, P:15
|
| WEEK 9
| 5 - 9 March
|
|
| Mon 5
| Orthogonal Bases
| §4.2 #1, 3, 9a, 12d
|
|
|
| Tue 6
| ... continued
|
| §4.2 C:9b, P:11a
|
|
| Thu 8
| Matrix of a Linear Transformation;
Change-of-Basis Formula
| §4.3 #1a, 3, 5-6, 8, 10, 22
|
|
|
| Fri 9
| ... continued
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| §4.3 C:12, P:23
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WINTER RECESS
12 - 16 MARCH
|
| WEEK 10
| 19 - 23 March
|
|
| Mon 19
| Linear Transformations on Vector Spaces
| §4.4 #1, 4a, 8, 11
|
|
|
| Tue 20
| ... continued
Sage demonstration script.
Get Sage Here.
|
| §4.4 C:5, P:16
|
| |
| Chapter 5: Determinants |
| |
|
| Thu 22
| Properties of Determinants
| §5.1 #1-3,10-12
|
|
|
| Fri 23
| ... continued
Cofactors and Cramer's Rule
| §5.2 #1bd, 2, 9, 10, 13
| Due Tuesday, 1 Nov:
§5.1 C:5, P:4
|
| WEEK 11
| 26 - 30 March
|
|
| Mon 26
| ... continued
|
| §5.2 C:16, P:7
|
|
| Tue 27
| Signed Area and Volume
| §5.3 #1a, 2a, 3-4
| Due Thursday, 10 Nov:
§5.3 C:5, P:7
|
|
| Thu 29
| In-class Exercise
REVIEW of Chapter 4
| §4.1 #14
§4.2 #6
§4.3 #3b
§4.4 #18b
|
|
|
| Fri 30
| In-class Exercise
REVIEW of Chapter 5
| §5.1 #8ab
§5.2 #13ab
§5.3 #11
|
|
| APRIL
|
| WEEK 12
| 2 - 6 April
|
|
| Mon 2
| Exam 3: Chapters 4 & 5
Objectives for Exam 3.
Sample Solutions.
|
|
|
| |
| Chapter 6: Eigenvalues and Eigenvectors |
| |
|
| Tue 3
| The Characteristic Polynomial
| §6.1 #1bfjl, 2-4, 8-9
|
|
|
| Thu 5
| ... continued
|
| §6.1 C:1k, P:6
|
|
| Fri 6
| Diagonalizability
| §6.2 #1, 2bef, 3, 7-9, 16-17, 19
|
|
| WEEK 13
| 9 - 13 April
|
|
| Mon 9
| ... continued
|
|
|
|
| Tue 10
| In-Class Exercise
| Practice Problems §§6.1-2.
§3.2 #13
§6.1 #3
§6.2 #19
| §6.2 C:5, P:11
|
|
| Thu 12
| Applications
| §6.3 #2, 8, 12a, 13-14
|
|
|
| Fri 13
| ... continued
|
| §6.3 C:9, P:13
|
| WEEK 14
| 16 - 20 April
|
|
| Mon 16
| In-Class Exercise
| §2.5 #12, 19ace, 20a
|
|
|
| Tue 17
| The Spectral Theorem
| §6.4 #1bcg, 3, 5-6,
8, 14-15, 17be, 18
|
|
|
| Thu 19
| Conics and Quadric Surfaces
|
|
|
|
| Fri 20
| ... continued
|
| §6.4 C:1f, P:12
|
| WEEK 15
| 23 - 27 April
|
|
| Mon 23
| REVIEW of Chapters 5-6
| §5.3 #3
§6.1 #4
§6.2 #17a
§6.3 #7
|
|
|
| Tue 24
| REVIEW of Chapters 1-2
| §1.2 #11,
§1.5 #13
§2.1 #11a
§2.2 #12
|
|
|
| Thu 26
| REVIEW of Chapter 3
| §3.2 #11
§3.3 #11
§3.4 #8c
§3.5 #9b, 10a
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|
|
| Fri 27
| REVIEW of Chapter 4
| §4.1 #4a
§4.2 #6
§4.3 #18cd
§4.4 #11
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FINAL
EXAMS
| 30 April - 4 May
|
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| MAY
|
|
| Day TBA
| FINAL EXAM
Time TBA
Objectives for final exam.
Final Exam, Math 317A, Fall 2010.
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