Course 3150-4 meets Mon-Wed-Fri in WEB 1250 at 11:50am. Friday is for exercises and exam review, an advantage if it fits your busy schedule. Otherwise, you will have to skip Friday. In this case, sorry, but it is the best I can offer every week during Spring 2014. Abbreviations: EPH is for Edwards-Penney Haberman, the hybrid text 2013. EP stands for Edward-Penney 3E. H means Haberman 4E or 5E. Fourier Sine and Cosine Transforms: The Heat Equation on Semi-Infinite Intervals

Date	Section	Topic
Week 1: Jan 6, 8	EPH 12.1 to 12.4 H1.1 to H1.4	Introduction, Derivation Heat Equation, Boundary Conditions, Equilibrium Temperature
Week 2: Jan 13, 15	EPH 12.5,12.6,13.3 EP 4.6,4.10 H1.5,H1.6,H2.3	Derivation of the Heat Equation in Two or Three Dimensions, Review of Gradient and a Derivation of Fourier's Law of Heat Conduction, Independent reading assignment
Week 3: Jan 20, 22	EPH 13.1,13.2,13.3 H2.1,H2.2,H2.3	Monday Holiday, Martin Luther King. No classes. Introduction, Linearity, Separation of variables (part 1)
Week 4: Jan 27, 29	EPH 13.3,13.4 H2.3,H2.4	Heat Equation with Zero Temperatures at Finite Ends, Worked Examples with the Heat Equation (Other BVP)
Week 5: Feb 3, 5	EPH 13.5, Exam Review H2.5	Laplace's Equation: Solutions and Qualitative Properties, Exam Review, for weeks 1-4
Week 6: Feb 10, 12	EPH 14.1,14.2,14.3 H3.1,H3.2,H3.3	Introduction, Statement of the Convergence Theorem, Fourier Cosine and Sine Series, Exam review and solved examples, weeks 5-6. Midterm 1 Sample Exam PDF source
Week 7: Feb 17, 19	Exam 1 Weeks 1-6	Monday Holiday, President's Day. No classes. EXAM 1 on Wednesday. Midterm Exam 1 Problem statements and student solutions
Week 8: Feb 24, 26	EPH 14.4,14.5,14.6 H3.4,H3.5,H3.6	Term-by-Term Differentiation of Fourier Series, Term-By-Term Integration of Fourier Series, Complex Form of Fourier Series
Week 9: Mar 3, 5	EPH 15.1 to 15.4 H4.1 to H4.4	Introduction, Derivation of a Vertically Vibrating String, Boundary Conditions, Vibrating String with Fixed Ends
Week 10: Mar 8-16	Spring Break	Sat 8 March to Sun 16 March. No classes.
Week 11: Mar 17, 19	EPH 15.5 H4.5,H7.4	Vibrating Membrane, Separating the time variable, Helmholtz equation, Eigenvalue problems. Solved examples, wave equation. Reference: Haberman Section 7.4 (PDF) Background Sections on orthogonality and projections. References: EPH 4.6, 4.9, 4.10
Week 12: Mar 24, 26	EPH 16.1,16.2,16.3 H10.1,H10.2,H10.3	Introduction, Heat Equation on an Infinite Domain, Fourier Transform Pair
Week 13: Mar 31 and Apr 2	EPH 16.4,16.5 H10.4,H10.5	Fourier Transform and the Heat Equation, Parseval Identity. Midterm Exam 2 Sample Exam Problems only (PDF) and Solutions (PDF)
Week 14: Apr 7, 9	EPH 16.6,Exam 2 H10.6	Fourier Sine and Cosine Transforms: The Heat Equation on Semi-Infinite Intervals. Worked Examples Using Transforms, part I. Exam review and solved examples, weeks 7-12. Midterm Exam 2, Wednesday, covers weeks 7-12. See Week 13 sample exam. Exam 2 Problems, answers and solutions
Week 15: Apr 14, 16	EPH 16.6,16.7 H10.6,H10.7	Worked Examples Using Transforms, Part II. Additional examples: Welding torch, Shannon's theorem on signals
Week 16: Apr 21, 23, 25	Final Exam Review	Exam review for the final exam, weeks 1-15. Final Exam outline, problem types Sample final exam questions and solutions Final Exam Friday 25 April, 10:15am in WEB 1250. Last Day for Extra Credit is May 1, 6pm under the door 113 JWB. Final exam questions and solutions

Math 3150-4 Partial Differential Equations

Instructor.
Professor Grant B. Gustafson
Email: See the online door card: Here.
Office: JWB 113

1. Gustafson's 3150 syllabus S2014.
   syllabus (244K pdf)
2. The textbook for the course is Haberman, fifth edition. See the syllabus for details and alternate editions.
3. 3150 format suggestions for reports
   How to improve your written work. Writing reports. ( 84K pdf)

Sample Maple Code for 3150

The text directory contains copy-and-paste maple sources.
Click Here for directory access
Click Here for a guide to the text files

Maple Tutorials

1. Maplesoft Quick Reference Cards Click Here
2. Douglas Meade's Quick Reference Card for Maple 12 to 17 Click Here
3. A rookie maple tutorial for the impatient from Indiana University Click Here
4. Maple programming examples by topic from Kettering University Click Here
5. Utah Maple tutorial 2014 in html format
   Used in LCB115 maple intro lectures.
   Click Here
6. How to use maple 17 under unix, windows, OS/X (text)
   Here
7. Maple graphics and low speed internet
   Maple at home
8. Peter Stone's Maple Resource page for undergraduate math topics Click Here

Matlab Tutorials

1. A one-page pdf Matlab cheat sheet from Strang's linear algebra course at MIT Click Here
2. A matlab tutorial at MIT, contains basic information. No video camera, only code examples and text information. Link is HERE
3. Mathworks matlab tutorials and documents are HERE. Register for the short tutorials, then try a few using your univ of Utah computer account. Matlab has a site license valid for all campus computers.

Mathematica Tutorials

1. Printed or free PDF tutorials on special topics are available at Wolfram Research: HERE
2. New users can start with John McLoone's YouTube video (2010) HERE
3. A complete set of short tutorial videos are available at Wolfram Research, addressing special topics HERE
4. Wolfram videos and screencasts cover a wide range of applications and interests. See Wolfram Broadcast Videos

What to read in the textbook, and when: Reading Schedule (2k text)

Problems, problem notes, answers.
Please see the LECTURE LINKS, organized by week. The problems due, the extra credit problems, and the PDF source for the problem statements are located there. There is just one source of information.

Professor Will Nesse has produced video lectures on the 3150 topics, the plan to do them all. A simple way to find the videos is to search "William Nesse" on YouTube. Here's the direct link to the YouTube channel: Will Nesse 3140 Channel on YouTube

Homework Package Due Dates

HW1 Assigned in week 1, due Wednesday week 2
HW2 Assigned in week 2, due Wednesday week 3
HW3 Assigned in week 3, due Wednesday week 4
HW4 Assigned in week 4, due Wednesday week 5
HW5 Assigned in week 5, due Wednesday week 6
HW6 Assigned in week 6, due Wednesday week 8
Week 7 Exam 1, HW recess
HW7 Assigned in week 8, due Wednesday week 9
HW8 Assigned in week 9, due Wednesday week 11
Week 10, Spring Break
HW9 Assigned in week 11, due Wednesday week 12
HW10 Assigned in week 12, due Wednesday week 13
HW11 Assigned in week 13, due Wednesday week 15
Week 14 Exam 2, HW recess
HW12 Assigned in week 15, due Wednesday week 16

New homework for the next week is posted either Wednesday or Thursday, assuming no one wants to do HW in advance of the lectures.
Friday problem sessions in WEB 1250 at 11:50am will discuss HW due the next week. For example, Friday of Week 4 would discuss HW4, which is due the next Wednesday in Week 5. Blackboard photos of the Friday session are posted in the Lecture Links.

Required HW Problems are keyed to the textbook problems, but they are independent of any book, appearing only in PDF files at this website.

References in the PDF problems are to Haberman 4E or 5E, Edwards-Penney DE and BVP and Asmar PDE and BVP, all editions. The textbooks are available in the LCB Math Center.

Studying Ahead. Please look at these recommended problems, none of which are due, but they will appear in required HW (PDF files). Abbreviations: H=Haberman 4E or 5E. EPH=Edwards-Penney-Haberman hybrid text, special edition for the University of Utan 2014.

EXERCISES H 1.2 or EPH 12.2: 1, 2b, 4b, 7, 8
EXERCISES H 1.3 or EPH 12.3: 2, 3
EXERCISES H 1.4 or EPH 12.4: 1d, 1f, 1h, 2a, 4, 7a, 8
EXERCISES H 1.5 or EPH 12.5: 1a, 2, 3a, 3e, 7, 11, 13
EXERCISES H 2.2 or EPH 13.2: 2a, 2b, 4a, 4b
EXERCISES H 2.3 or EPH 13.3: 1a, 1c, 1f, 2b, 2c, 3c, 4, 5, 6, 7, 8
EXERCISES H 2.4 or EPH 13.4: 1, 2, 3, 4
EXERCISES H 2.5 or EPH 13.5: 1a, 1c, 1e, 2a, 3, 4, 5a, 5c, 6a, 7b, 9, 15b, 22
EXERCISES H 3.2 or EPH 14.2: 1b, 1d, 1f, 2a, 2c, 2f, 4
EXERCISES H 3.3 or EPH 14.3: 1a, 1d, 2a, 2d, 5c, 7, 10, 13, 18
EXERCISES H 3.4 or EPH 14.4: 1a, 2, 3a, 6, 8, 9
EXERCISES H 3.5 or EPH 14.5: 1c, 4, 7
EXERCISES H 3.6 or EPH 14.6: 1 [this section appears later in editions before 4E]
EXERCISES H 4.2 or EPH 15.2: 2, 5
EXERCISES H 4.3 or EPH 15.3: 1, 2
EXERCISES H 4.4 or EPH 15.4: 1a, 1b, 2c, 3b, 6, 7, 8, 9, 11, 13
EXERCISES H 4.5 or EPH 15.5: 1
EXERCISES H 4.6 or EPH 15.6: 3, 4
EXERCISES H 10.2 or EPH 16.2: 1, 2
EXERCISES H 10.3 or EPH 16.3: 1, 2, 3, 5, 6, 7, 11, 18
EXERCISES H 10.4 or EPH 16.4: 1, 2, 3a, 4a, 5c, 7c, 8, 11
EXERCISES H 10.5 or EPH 16.5: 1, 2, 3, 5, 10, 11, 12
EXERCISES H 10.6 or EPH 16.6: 1a, 2b, 3, 11a, 12a, 15, 18
EXERCISES H 10.7 or EPH 16.7: 1, 2

Gustafson's 3150 Midterm and Final Exams Spring 2014

These sources will be posted after the exam is graded.

1. Midterm Exam 1, Problem statements and student solutions
2. Midterm Exam 2, Problem statements and student solutions
3. Final Exam 25 April 2014, questions and student solutions

Gustafson's 3150 Midterm and Final Exam Samples Spring 2014

These sources will be posted when available, due to the change of textbook and the re-ordering of topics.

1. Sample Midterm exam 1, Gustafson's 3150 course S2014.
   Midterm 1 Sample Exam PDF source, Problems only
   Midterm 1 review Problem 5, Blackboard photos Wednesday, 12 Feb 2014
   Midterm 1 review, Problems 1,2,3 Blackboard photos Friday, 14 Feb 2014
   Midterm 1 review 4pm in WEB L105, Problems 4,5 Blackboard photos Tuesday, 18 Feb 2014
2. Sample Midterm Exam 2, Gustafson's 3150 course S2014.
   Sample Midterm Exam 2 Problems only (PDF) and Solutions (PDF)
   Midterm Exam 2 review, Blackboard photos Friday, 4 Apr 2014
   Midterm Exam 2 Review Blackboard photos Monday, 7 Apr 2014
   Midterm Exam 2 Review Blackboard photos Tuesday, 8 Apr 2014
   Xerox copy, Sample exam 2 solutions
3. Sample Final Exam, Gustafson's 3150 course S2014.
   Final Exam outline, problem types
   Sample final exam questions and [pending] solutions

Gustafson's 3150 Midterm and Final Exams Spring 2013

1. Midterm Exam 1, Wed Feb 27, 11:45am in WEB 1250
   Problems and answers to Exam 1
2. Midterm Exam 2, Mon April 22, 11:45am in WEB 1250
   Exam 2 Problems, answers and solutions
3. Final Exam, Thu May 2, 10:25am in WEB 1250
   Final Exam problems with student solutions

Gustafson's 3150 Midterm and Final Exam Samples Spring 2013

1. Sample exam 1, Gustafson's 3150 course S2013.
   Problems only
   Problems and answers
2. Sample exam 2 and sample final exam, Gustafson's 3150 course S2013.
   Problems only
   Sample exam 2 solutions
   Sample final exam solutions

Gustafson's 3150 Midterm and Final Exams from Fall 2009

1. Exam 1, Gustafson's 3150 course F2009. No solutions.
   Gustafson's Exam 1, F2009
2. Sample exam 2, Gustafson's 3150 course F2009. No solutions.
   Gustafson's Exam 2 sample, F2009
3. Exam 2 with Solutions, Gustafson's 3150 course F2009
   Josh Bailey's Exam 2 solutions F2009
4. Sample Final Exam, Gustafson's 3150 course F2009. No solutions.
   Gustafson's Final Exam sample F2009
   Same pdf file as the exam 2 sample. The final exam sample is appended to the exam 2 sample.
5. Final Exam with Solutions, Gustafson's 3150 course F2009
   Final exam F2009 with solutions

Edits from January to May 2014, updated weekly.

Professor William Nesse has produced video lectures on the 3150 topics, the plan to do them all. A simple way to find the videos is to search "William Nesse" on YouTube. Here's the direct link to the YouTube channel: Will Nesse 3140 Channel on YouTube

Tutoring in WEB 1622 is staffed every weekday: Times and Staff WEB1622

Lecture links Weeks 1 to 4

Lecture links Weeks 5 to 8

Lecture links Weeks 9 to 12

Lecture links Weeks 13 to 16

Below appear archived files from the semesters indicated, for homework, maple and matlab code, exams and exam solutions, syllabi, problem notes

1. Professor F. Guevara Vasquez Fall 2008, math 3150 from Asmar's textbook. Matlab code examples. Hand written solutions to problems.
2. Professor J. Zhu Fall 2007, math 3150 from Asmar's textbook. Hand written solutions to problems.