Math 2174: Linear algebra and differential equations for engineers

Here you'll find postings about homework, exams, and anything else that becomes relevant during the semester. The syllabus and course info can be found here.

Homework

In general, problem sets will be due at the beginning of class on Wednesdays.  Unless otherwise indicated (with an asterisk*), you must show all work.  Late homework is not accepted.
HW1: 1.1 (2*, 4*, 6*, 14, 18, 34); 1.2 (12, 16, 24, 28, 50).  Due 8/30.
HW2: 1.3 (2, 4, 6*, 10*, 18*, 22); 1.5 (4, 10, 18, 62), 1.6 (10, 18, 30, 60*).  Due 9/6.
HW3: 1.7 (5*, 6, 8, 9*, 28, 29*, 35*, 36); 1.9 (3, 7, 17, 22, 25), 3.1 (5*, 8*).  Due 9/13.
HW4: 3.1 (16*, 17*, 19, 20), 3.2 (2, 8, 10, 16, 29), 3.3 (6, 14, 17, 23, 46, 50), 3.4 (1,2).  Due 9/20.
HW5: 4.1 (4, 6, 8, 16), 4.2 (9*, 10, 16, 18, 20**), 4.4 (2, 5*, 6, 10, 28**).  Due 10/4.  (Double asterisk problems will not be graded, but you may need to know about them in the future...)
HW6: 4.5 (1, 2, 3, 4, 13, 14, 16, 17, 18); 4.6 (5, 11, 15, 19, 20, 23, 24, 34**).  Due 10/11.
HW7: 4.7 (1, 2, 4, 6, 10, 11, 26, 27, 31); 7.4 (6*, 7*); 7.5 (1*, 4*, 7, 19, 20).  Due 10/18. Chapter 7 problems are from Boyce-diPrima!
HW8: 7.5 (2, 3, 8, 11, 12, 18, 19); 7.6 (3, 4, 5, 7); 7.7 (5, 6).  Due 10/25.
HW9: 10.1 (2, 14, 17); 10.2 (2, 6, 7, 14, 15).  Due 11/8.
HW10: 10.3 (2, 3, 4, 5); 10.4 (7, 9, 10, 15, 35).  Due 11/17.
HW11: 10.5 (1, 3, 7, 9, 12); 10.6 (1, 3, 5, 6, 7, 15); 10.7 (1a, 4a, 13, 14). (Bonus: 10.8 (2).)  Due 12/1.

Reading

An outline of topics is laid out below.  Corresponding sections of the book are in parentheses; reading assignments should be done before the day the section is listed.  Occasional quizzes may or may not be announced in advance; these will count as part of the homework grade.
Monday Wednesday Friday

8/23

Solving linear equations (1.1)

Gaussian elimination (1.2)

8/25

Consistent systems of linear equations (1.3)

8/28

Matrix operations (1.5, 1.6)

8/30

(cont'd) (1.6)

HW1 due

9/1

Linear independence (1.7)

9/4

(Labor Day)

9/6

Linear independence (cont'd) (1.7)

HW2 due

9/8

Matrix inverses (1.9)

9/11

Vector Spaces (3.1-3.2)

9/13

Subspaces (3.3)

HW3 due

9/15

Bases for subspaces (3.4)

9/18

Bases for subspaces (3.4)

9/20

(cont'd)

HW4 due

9/22

Bases and dimension (3.5)

9/25

(cont'd)

9/27

First Midterm

9/29

Eigenvalue problem (4.1)

10/2

Determinants and eigenvalues (4.2)

10/4

Characteristic polynomial (4.4)

HW5 due

10/6

Eigenvectors (4.5)

10/9

Complex eigenvalues (4.6)

10/11

Diagonalization (4.7)

HW6 due

10/13

(Columbus Day)

10/16

Homogeneous systems of ODEs (7.5)

10/18

(cont'd) (7.5)

HW7 due

10/20

Complex eigenvalues (7.6)

10/23

Fundamental matrices (7.7)

10/25

Repeated eigenvalues (7.8)

HW8 due

10/27

Intro to boundary value problems (10.1)

10/29

(cont'd) (10.1)

11/1

Second Midterm

11/3

Fourier series (10.2)

11/6

(cont'd) (10.2)

11/8

Convergence theorem (10.3)

HW9 due

11/10

(Veterans Day)

11/13

Even and Odd Functions (10.4)

11/15

(cont'd)

11/17

Heat equation (10.5)

HW10 due

11/20

(cont'd) (10.5)

11/22

(Thanksgiving)

11/24

(Thanksgiving)

11/27

Variations (10.6)

11/29

Wave equation (10.7)

12/1

(cont'd) (10.7)

HW11 due

12/4

Laplace equation (10.8)

12/6

Recap and review

Time/Place

Classes are on Monday, Wednesday, and Friday, 1:50 - 2:45pm, in 436 Bolz Hall.

Office hours

602 MW (Math Tower):  M 3-4, W 10-11, or by appointment.

Textbook

We will use Introduction to Linear Algebra, 5th ed., by Johnson, Riess, and Arnold (Chapters 1, 3, and 4), and Elementary Ordinary and Partial Differential Equations Part II (Chapters 7 and 10), by Boyce and DiPrima.

Exams

The dates for the midterms and final exams are as follows:
First Midterm: Wednesday, September 27 1:50 - 2:45pm (in class) 436 Bolz
Second Midterm: Wednesday, November 1 1:50 - 2:45pm (in class) 436 Bolz
Final Exam: Wednesday, December 13 2:00 - 3:45pm 436 Bolz

Be sure to note these dates carefully now and make plans accordingly.

Practice problems for Midterm 1 are here. Solutions are here.

Practice problems for Midterm 2 are here. Solutions are here.

Grading

Final grades will be computed as follows:
First Midterm: 20%
Second Midterm: 25%
Final Exam: 30%
Homework: 25%

The homework component will be computed out of a total of 90%.  This means that if there are a total of 100 points, and you score 72, your homework grade is 72/90 = 80%.  (I'm doing this instead of dropping a lowest homework.)


Legal:

Academic Misconduct Statement: "It is the responsibility of the Committee on Academic Misconduct to investigate or establish procedures for the investigation of all reported cases of student academic misconduct. The term academic misconduct includes all forms of student academic misconduct wherever committed; illustrated by, but not limited to, cases of plagiarism and dishonest practices in connection with examinations. Instructors shall report all instances of alleged academic misconduct to the committee (Faculty Rule 3335-5-48.7). For additional information, see the Code of Student Conduct at http://studentlife.osu.edu/csc/."

Disability Services Statement: "Students with disabilities that have been certified by Student Life Disabilities Services (SLDS) will be appropriately accommodated and should inform the instructor as soon as possible of their needs. SLDS contact information: slds@osu.edu; 614-292-3307; 098 Baker Hall, 113 W. 12th Avenue."