
Math 342A  Methods of Applied Mathematics 



San Diego State University  This page last updated 11Dec04 
Homework Assignment Page
Most of the homework will be assigned from the text, Mathematical Methods for Scientists and Engineers by Donald McQuarrie. This page will give you the homework assignments and when they are due. (You may have to remind me to update this page to reflect the latest information.) It is hoped that this page will also lead to complete solutions for the homework problems that are graded. (See more on homework grading policy on the Exam and Grading policy page.)
There is excellent (free) tutorial help for this course in BA 247 on Thurs 1012 and 13 by Professor Arnie Villone.
Week 15: This week finishes the material
on Differential Equations for this semester (through 11.4). Your Final
will be Monday, Dec. 13, 10:3012:30. The
final will be comprehensive with your best study guides being the previous exams
(take home and inclass) and the material covered in class on second order linear
differential equations (the homework). You can find your class standing from
the Grades page. There are solutions available for
Exam 2 over Linear Algebra and Exam
3 over Differential Equations. Also, solutions exist for Homework
10, Homework 11, and Homework
12. The last homework problems for the semester are:
Section 11.4 (p. 554) 1, 4, 5, 6, 7, 8, 9, 13, 14, 15, 17, 26, 27,
28, 29 (due Monday, Dec. 13)
Earlier Assignments and Exam Information
Week 1: Read the material in sections 5.1,
5.2, and 5.3. The Homework problems are:
Section 5.1 (p. 196) 1, 3, 7, 12
Section 5.2 (p. 203) 1, 4, 7, 11, 13, 15, 17, 20
Section 5.3 (p. 211) 3, 6, 10, 12, 18
Since several of you have not been able to get the textbook, the hyperlinks
above will provide GIFs to these homeworks. Hopefully, by the end of next week
you can all have access to the text.
These homework problems are due Friday, Sept. 10.
Week 2: Read the material in Sections 5.4
and 5.5. The Homework problems are:
Section 5.4 (p. 220) 2, 3, 6, 9, 15, 16, 18, 20, 23, 24
Section 5.5 (p. 227) 1, 3, 5, 8, 9, 10
These homework problems are due Friday, Sept.
17
Week 3: Read the material in Chapter 6.
We will review this material quickly. The Homework problems are:
Section 6.5 (p. 266) 4, 5, 9
Section 6.6 (p. 266) 2, 5, 10, 11, 12, 14
These homework problems are due Friday, Sept.
24
Week 4: Read the material in Chapter 7.1,
7.2, 7.3 (lightly), and 7.4. The Homework problems are:
Section 7.1 (p. 309) 2, 3, 59, 12, 13 (due Friday,
Sept. 24)
Section 7.2 (p. 320) 1, 3, 5, 6, 8, 11, 12, 14, 16, 18 (due
Friday, Oct. 1)
Week 5: Exam 1
will take place on Friday, Oct. 8. This exam will cover the material from Vector
Analysis, Chapters 57 in the text. A TakeHome
Exam is available and will be due at the time of the inclass Exam,
Friday, Oct. 8. There are solutions available
for the graded HW problems from Sections 5.14. Read the material in Chapter
7.3, 7.4, and 7.5. The Homework problems are:
Section 7.3 (p. 330) 1, 4, 5, 7, 9, 10, 12 (due
Friday, Oct. 1)
Section 7.4 (p. 337) 2, 4, 7, 8, 9, 11 (due
Friday, Oct. 8)
Week 6: Exam 1
will take place on Friday, Oct. 8. This exam will cover the material from Vector
Analysis, Chapters 57 in the text. For Exam
1, you are allowed the use of a calculator (any type), 2 notecards
(3x5), and a set of integral tables. A TakeHome
Exam is available and will be due at the time of the inclass Exam,
Friday, Oct. 8. There are solutions available
for the graded HW problems from Sections 5.14. Also, there are solutions
available for the graded HW problems from Sections 6.56 and 7.23. This
week finishes the Vector Calculus and should begin the material on Linear Algebra
(Chapter 9). The Homework problems are:
Section 7.5 (p. 345) 2, 4, 7, 10, 12, 14, 21 (due
Friday, Oct. 8)
Week 7: The solutions
to the TakeHome Exam are available. You will be reworking Exam
1 (with a slight modification to 3b) for 50% of your missed points. This
week begins the material on Linear Algebra (Chapter 9). The Homework problems
are:
Section 9.1 (p. 407) 1, 3, 6, 7, 21 (due
Friday, Oct. 15)
Section 9.2 (p. 417) 2, 4, 7, 10 (due Friday,
Oct. 22)
Week 8: The solutions
to the TakeHome Exam are available. Your reworking of Exam
1 (with a slight modification to 3b) for 50% of your missed points is due
Friday, Oct. 22. There are solutions
to the homework from Sections 7.4 and 7.5. This week continues the material
on Linear Algebra (Chapter 9). The Homework problems are:
Section 9.3 (p. 428) 2, 4, 5, 7, 8, 9, 12, 16, 19, 24 (due
Friday, Oct. 22)
Section 9.4 (p. 435) 1, 3, 5, 7, 10, 11, 13, 14 (due
Friday, Oct. 29)
Section 9.5 (p. 443) 3, 4, 5, 6, 7, 9, 12, 13, 16 (due
Friday, Oct. 29)
Week 9: This week continues the material
on Vector Spaces (Chapter 9). We may start Chapter 10 on Eigenvalues. The Homework
problems are:
Section 9.5 (p. 443) 3, 4, 5, 6, 7, 9, 12, 13, 16 (due
Friday, Oct. 29)
Section 9.6 (p. 449) 2, 3, 5, 6, 10, 11, 12, 13, 16, 17 (due
Friday, Nov. 5)
Week 10: This week begins the material
on Eigenvalue Problems (Chapter 10). The Homework problems are:
Section 10.1 (p. 462) 2, 3, 12 (due Friday,
Nov. 5)
Section 10.2 (p. 470) 1, 2, 3, 4, 5, 9, 10, 17, 18, 19 (due
Friday, Nov. 5)
Section 10.3 (p. 479) 2, 3, 5, 7, 10, 15, 16, 17 (due
Friday, Nov. 12)
Week 11: TakeHome
Exam 2 is available for downloading. Your TakeHome Exam for Linear Algebra
and Vector spaces will be due Friday, Nov. 12.
The InClass Exam will take place on Monday, Nov.
15. Solutions are available for Homework
6 and 7 covering Sections 9.19.3. This week completes the material on Linear
Algebra and Vector Spaces. We will next start the material on Differential Equations.
The Homework problems are:
Section 10.5 (p. 498) 3, 4, 5, 6, 7, 10, 11, 12, 13, 14, 15, 16,
21 (due Friday, Nov. 12)
Week 12: The solutions to the TakeHome Exam 2 are available (thus no credit to any student attempting to turn in their assignment at this time). The InClass Exam will take place on Monday, Nov. 15. Solutions are available for Homework 8 covering Sections 9.49.5 and Homework 9 covering Sections 9.6, 10.110.2. This week starts the material on Differential Equations. The Homework problems will appear soon.
Week 13: This week starts the material
on Differential Equations. Supplemental material is being provided to the text
from the book by Borrelli and Coleman on Differential Equations (2nd ed., Wiley,
2004). The material includes information on Direction
Fields and Numerical Methods for DE's.
The Homework problems are (with more to be added)
Section 11.1 (p. 522) 1, 2, 3, 4, 5, 6, 8, 9, 14, 15, 16 (due
Wednesday, Nov. 24)
Section 11.2 (p. 528) 1, 2, 3, 4, 5, 6, 8, 10, 13, 15, 16, 20 (due
Wednesday, Nov. 24)
Week 14: This week continues the material
on Differential Equations. There is a TakeHome
Exam over Differential Equations, which is due Wed. Dec. 1 (11 AM).
Exam 3 covering Differential Equations is
Fri. Dec. 3. You are allowed 2 3x5 notecards, integral tables, and a
calculator (not smart calculator) for the exam. Supplemental material is being
provided to the text from the book by Borrelli and Coleman on Differential Equations
(2nd ed., Wiley, 2004). The material includes information on Direction
Fields and Numerical Methods for DE's.
There are also supplemental handouts for using Maple
and MatLab to numerically solve differential
equations. There is also an updated Maple sheet
for using DEplot. There is an Excel spreadsheet with
the numerical methods. The Homework problems are:
Borrelli and Coleman (p. 74) 1, 2, 3, 4, 5, 6, with Maple 7, 10,
13, 14 (due Wednesday, Dec. 1)
Borrelli and Coleman (p. 129) 1 (due
Wednesday, Dec. 1)
Section 11.3 (p. 539) 2, 3, 5, 6, 7, 9, 11, 12, 17 (due
Friday, Dec. 10)