------------------------------------------- MATH 312-002 - Fall 2017 Partial Differential Equations for Engineering ------------------------------------------- Modified Last: Saturday Dec 9, 2017 5.00pm Based on "Applied Partial Differential Equations", 5th ed. (2013) by Richard Haberman. Class of MATH 312-002 meets MWF 9:00am-9:50am in SMLC 120 Office Hours (SMLC Room 205) MW 4:00-5:30pm or by appointment This daily log and assignments page can be accessed via http://math.unm.edu/~heineman and will be regularly updated to reflect actual class pace Mark each assignment by the week during which it was assigned, and clearly list at the top of the front page your name and the problems included, identified by section and page number if they come from the required texts. BE NEAT for full credit. ---------------------------------------------------------------- The next review session will take place Thursday Dec 7 from 6-8pm. There will also be review sessions on Saturday Dec 9 from 2-4pm and on Monday Dec 11 and Tuesday Dec 12 from 6-8pm (as always we will meet in Room 124 of SMLC). The review sessions are not mandatory. ---------------------------------------------------------------- Homework 1 due Friday Sep 1 at class time. Exercises 1.2.2, 1.2.7, 1.3.1, 2.2.1, 2.2.3, 2.2.4, 2.2.5 from the book Homework 2 due Monday Sep 11 at class time. Exercises 1.4.1 b,c,e,g 2.3.2 a,c,e 2.3.3 a from the book Homework 3 due Monday Sep 18 at class time. Exercises 2.3.3 b,e 2.4.1 c from the book Homework 4 due Monday Sep 25 at class time. Exercises 2.5.1 b 2.5.2 b from the book Homework 5 due Monday Oct 2 at class time. Exercises 2.5.1 f 2.5.5 b from the book Homework 6 due Monday Oct 9 at class time. Exercises 2.3.2g 2.3.7d 2.4.1d 2.5.1d from the book Homework 7 due Friday Nov 3 at class time. Exercises 3.2.1c 3.3.2c 3.3.8c from the book Homework 8 due Wednesday Nov 15 at class time. Exercises 8.2.1c 8.2.2b 8.3.1a from the book Homework 9 due Friday Dec at class time. The example from Section 4 for the special case where f(x)=0, g(x)=sin(pi*x). =========================================================== Policy, scores Maximal number of points is 500 and to be gained by tests, quizzes, homework and attendance. Three tests: Test 1, Test 2 and Test 3 (the Final Test) Test 1: Before Fall Break, in class (50 minutes) and 100 points to be gained Test 2: After Fall Break, in class (50 minutes) and 100 points to be gained Test 3: End of Semester (Finals week) to be announced via UNM and 200 points to be gained Homework, quizzes and attendance: 100 points to be gained Prerequisite: Math 264 and Math 316 ============================================================= Syllabus (provisional). Using "Applied Partial Differential Equations", 5th ed. (2013) by Richard Haberman, I will try to cover the essentials of Chapters 1-4,7,8,12 of the book. Week 1: Mon August 21: Introduction. What is a PDE? Linear operators and superposition. Heat equation in 1D rod. Wed August 23: What is a PDE? Linear operators and superposition. Heat equation in 1D rod. Fri August 25: Introduction. What is a PDE? Linear operators and superposition. Heat equation in 1D rod. Week 2: Mon August 28: Derivation of Heat equation in 1D rod. Boundary conditions. Derivation of Heat equation in 2D and 3D. Wed August 30: Derivation of Heat equation in 1D rod. Boundary conditions. Derivation of Heat equation in 2D and 3D. Fri September 1: Derivation of Heat equation in 1D rod. Boundary conditions. Derivation of Heat equation in 2D and 3D. Week 3: Wed September 6: Solution of homogeneous 1D heat equation with zero boundary conditions (Sections 2.3-2.4). Fri September 8: Solution of homogeneous 1D heat equation with zero boundary conditions (Sections 2.3-2.4). Week 4: Mon September 11: Sections 2.3-2.4. Wed September 13: Sections 2.3-2.5. Fri September 15: Sections 2.3-2.5. Week 5: Mon September 18: Sections 2.3-2.5. Wed September 20: Section 2.5. Fri September 22: Section 2.5. Week 6: Mon September 25: Sections 2.3-2.5. Wed September 27: Sections 2.3-2.5. Fri September 29: Sections 2.3-2.5. Week 7: Mon October 2: Section 2.5. Preview of Test 1 Wed October 4: Section 2.5. Introduction to Chapter 3. Preview of Test 1 Fri October 6: Introduction to Chapter 3. Preview of Test 1 Week 8: Mon October 9: Test 1 Wed October 11: Sections 3.1-3.5. Week 9: Mon October 16: Sections 3.1-3.5. Wed October 18: Sections 3.1-3.5. Fri October 20: Sections 3.1-3.5. Week 10: Mon October 23: Sections 3.1-3.5. Wed October 25: Sections 3.1-3.5. Fri October 27: Sections 3.1-3.5. Week 11: Mon October 30: Sections 3.1-3.5. Wed November 1: Sections 3.1-3.5. Fri November 3: Sections 8.1-8.2. Week 12: Mon November 6: Chapter 8. Wed November 8: Chapter 8. Fri November 10: Chapter 8. Week 13: Mon November 13: Chapter 8. Wed November 15: Chapter 8. Review Test 2. Fri November 17: Review Test 2 Week 14: Mon November 20: Test 2. Wed November 22: Wave equation. Chapter 4. Week 15: Mon November 27: Wave equation. Chapter 4. Wed November 29: Review Test 2. Fri Dec 1: Review Test 2. Week 16: Mon Dec 4: Wave equation. Review Test 3. Wed Dec 6: Wave equation. Review Test 3. Fri Dec 8: Wave equation. Review Test 3. Week 17: Wed Dec 13: Test 3. Same room as always but different time: 7:30‐9:30 a.m.! Note that two fact sheets, i.e., 2 double pages will be allowed.