Math 244 Sections 05 and 06
Linear Analysis I
Dr. Dana Paquin
Spring 2010




Course materials such as the syllabus, lab and project assignments, quizzes and quiz solutions, exam information, etc. are posted in Blackboard.

The following is an updated course schedule. You should check this schedule frequently for updated information on topics covered in class, assigned practice problems, lab/project due dates, quiz and test dates, etc. Although you are not required to turn in the homework problems, I strongly recommend that you do at least these problems to master the material. The weekly quizzes will often contain problems that are very similar to, or exactly the same as, the assigned practice problems.

Class Date Quiz/Test/Assignment Due Topics Covered (lab and project assignments, quizzes and quiz solutions, exam information and other materials are posted on the Course Materials page in Blackboard) Problems
1 Monday March 29 Introduction to Math 244

1.1: Differential Equations and Mathematical Modeling

1.2: Integrals as general and particular solutions

1.1: 1, 3, 7, 13, 15, 17, 19, 25, 27, 33, 37, 39

1.2: 1, 3, 5, 7, 9, 11, 13, 19, 25, 29, 31

2 Tuesday March 30 1.3: Slope fields and solution curves

1.4: Separable Equations and Applications

1.3: 3, 5, 7, 21

1.4: 1, 3, 5, 7, 11, 17, 19, 23, 27, 35, 37, 47

3 Thursday April 1 1.5: Linear First-Order Equations 1.5: 1-23 odd
4 Friday April 2 Introduction to Maple and Wolfram Alpha

Lab 1: Slope Fields andGraphing in Maple

Work on Lab 1

Use Wolfram Alpha to practice graphing functions and finding derivatives and integrals.

5 Monday April 5 3.1: Introduction to Linear Systems

3.2: Echelon Matrices and Gaussian Elimination

3.1: 1, 5, 13, 15, 17, 23, 25
6 Tuesday April 6 Quiz 1 on 1.1-1.5

This will be a closed-notes group quiz.

3.2: Echelon Matrices and Gaussian Elimination 3.2: 1-25 odd
7 Thursday April 8 NO CLASS
8 Friday April 9 NO CLASS
9 Monday April 12 3.3: Reduced Row-Echelon Matrices 3.3: 1-25 odd, 33, 34
10 Tuesday April 13 Coffee To Go Project Due

Quiz 2 on 3.1, 3.2

This will be an open-notes (no books or calculators) individual quiz.

Tuesday's office hours will be on Monday April 12 from 2:15 to 3:30 pm (this week only)

3.4: Matrix Operations, Part 1 3.4: 1-4
11 Thursday April 15 3.4: Matrix Operations, Part 2 3.4: 9, 11, 15, 19, 23, 27, 29, 31, 33, 35, 37
12 Friday April 16 Lab: How do GPS Systems Work?
13 Monday April 19 NO CLASS
14 Tuesday April 20 3.5: Inverses of Matrices 3.5: 5, 7, 11, 17, 23, 27, 32
15 Thursday April 22 Quiz 3 on 3.3, 3.4

This will be a closed-notes group quiz.

3.5: Inverses

3.6: Determinants

3.6: 1, 3, 5, 43, 50, 51, 52, 53
16 Friday April 23 Work on GPS Lab
17 Monday April 26 GPS Lab Due 3.6: Determinants

Review

18 Tuesday April 27 In-class Exam 1 (on material through Section 3.6)
19 Thursday April 29 4.1: The Vector Space R^3

4.3: Linear Combinations and Independence of Vectors

4.1: 1-13 odd, 19-27 odd

4.3: 1-21 odd

20 Friday April 30 Vectors Lab: Linear Combinations and Linear Independence
20 Monday May 3 4.3: Linear Combinations and Independence of Vectors

4.4: Bases and Dimension for Vector Spaces

4.3: 1-21 odd
21 Tuesday May 4 Vectors Lab Due

Quiz 4 on 4.1, 4.3 (linear independence/dependence and linear combinations)

This will be a closed-notes group quiz.

4.4: Bases and Dimension for Vector Spaces 4.4: 1-7 odd, 15-25 odd

Read Example 5 in Section 4.4 for an example of how to do numbers 15-25!

22 Thursday May 6 4.2: Subspaces

4.5: Column Spaces and the Nullspace

4.2: 1-17 odd

4.5: 1-11 odd

Note: For problems 1-11 in Section 4.5, find a basis for the column space, AND THE NULLSPACE of each matrix. You do NOT have to find a basis for the row space. Also find the dimension of the column space and nullspace, and verify that the Rank-Nullity Theorem is satisfied.

23 Friday May 7 Lab: Column Space and Nullspace
24 Monday May 10 Column Space and Nullspace Lab Due 5.1: Introduction: Second-Order Linear Equations 5.1: 1-15 odd, 33-47 odd
25 Tuesday May 11 Quiz 5 on 4.2, 4.4, 4.5

This will be an open-notes (no books or calculators) individual quiz.

5.3: Homogeneous Equations with Constant Coefficients 5.3: 1, 3, 5, 7, 11, 13, 15, 19, 21, 25, 27 39

Note: For problems 1-31, you may use Wolfram Alpha (or another computational utility) to assist in finding the roots of the characteristic equation.

26 Thursday May 13 5.3: Homogeneous Equations with Constant Coefficients 5.3: 9, 17, 23, 29, 31, 33-36, 40, 42
27 Friday May 14 Maple Lab: 5.4: Mechanical Vibrations
28 Monday May 17 NO CLASS
29 Tuesday May 18 Mechanical Vibrations Lab Due 5.5: Nonhomogeneous Equations and Undetermined Coefficients 5.5: 1, 3, 5, 9, 13, 31, 33, 35
30 Thursday May 20 Review
31 Friday May 21 In-class Exam 2 (Sections 3.6, 4.1-4.5, 5.1, 5.3, 5.5)

The exam will be in the regular classroom.

32 Monday May 24 6.1: Eigenvalues and Eigenvectors 6.1: 33, 34, 35

Review the definitions of eigenvector/eigenvalue and the proofs of Properties 1-3 from today's class.

33 Tuesday May 25 6.1: Eigenvalues and Eigenvectors 6.1: 1-25 odd

For problems 1-25 odd, just find all eigenvalues and eigenvectors of each matrix.

34 Thursday May 27 Quiz 6 on 6.1

This will be a closed-notes group quiz.

35 Friday May 28 Maple Lab: 5.6: Forced Oscillations and Resonance
35 Monday May 31 NO CLASS
36 Tuesday June 1 Forced Oscillations Lab Due 7.1: Linear Systems of DE's 7.1 (note: these problems are on page 402 of your textbook!): 1, 3, 11-19 odd
37 Thursday June 2 7.3: The Eigenvalue Method for Linear Systems 7.3 (note: these problems are on page 427 of your textbook!): 1-5 (just find the solutions, don't need to construct the direction field or solution curves), 17, 18
38 Friday June 3 LAST DAY OF CLASS Review

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