MA 2051 term B2013 - Syllabus and Other Useful Information
Lectures 2-2:50 p.m., SL 115, MTRF - PLA sections TR, hour as scheduled
Instructor: Paul Davis, SL 405F, 508-831-5212 pwdavis@wpi.edu
Office hours:  Mon 3:00 - 5:00 p.m. Th 3:00 - 5:00 p.m. (not 14 Nov)
Tu 10:30 - 11:30 a.m. Fri 10:00 - 11:00 a.m.
Often in my office Mon & Thurs after class and into the early evening
Almost any time by appointment - call, email, catch me after class
Tu-Th Conference Tutoring in SH 002A
Teaching Assistant:  ngmarculis@wpi.edu 9:00 a.m., SH 309, B06 Sun 4:00-6:00 p.m.
Nathan Marculis, SH 204
Office hours: Mon 3:00 - 4:00 p.m.
Tues 10:00 - 11:00 a.m.
Fri 9:00 - 10:00 a.m.
Tutoring hours: Sun 4:00 - 6:00 p.m. in Tutoring Center, SH 002A (available to all Calc and Diff Eq students)
Peer Learning Assistants: Tu-Th Conference Tutoring in SH 002A
Alexander Kopchik arkopchik@wpi.edu 11:00 a.m., SH 304, B10 1:00 - 2:00 p.m. Fridays
Thanacha Choopojcharoen (Pi) tchoopojcharoen@wpi.edu 1:00 p.m., SH 304, B07 4:00-6:00 p.m. Thursdays
Hector Alberti Arroyo healbertiarroyo@wpi.edu noon, SH 106, B08 noon - 1:00 p.m. Mondays
Tuan Li tuanl@wpi.edu noon, SH 308, B04 2:00 - 3:00 p.m. Tuesdays
Ruofan Ding rding2@wpi.edu 10:00 a.m., SH 304, B05 11:00 a.m. - noon Wednesdays
Jesus Chung jchungmoc@wpi.edu 3:00 p.m., SH 308, B09 noon - 1:00 p.m. Thursdays
MASH leader: Rachel Wigell
MASH hours:  Sun 5:00 - 6:00 p.m. Exam Proctoring Center (Daniels Hall)
Tues 5:00 - 6:00 p.m. Exam Proctoring Center (Daniels Hall)
Thur 1:00 - 2:00 p.m. Academic Resources Center (Morgan Hall)
Text: Davis, Differential Equations (Ignore all references in the text to DELab.  That software is no longer supported.)
Read Paper HW WebWork
Class Day Date  before class Key concepts (due next PLA conf) (due date in HW)
1 Tue 29-Oct 1.1, 1.2, 1.3.1-1.3.3 Model: motion due to gravity
Terms: differential equation, independent/dependent variable, order, solution, initial-value problem
1.5/1, 4, 6(a), 7(a), 13(b, d, h, i) PWD2051CalcReview
Motivation: 24 mi free-fall record
MA 2051 Calculus Review Sampler Calculus Review Sampler - partial solutions
No conference today - Friday schedule
2 Thu 31-Oct 2.1, 2.2 Population models: growth and decay
Term: steady-state solution
2.1.7/1(a), 2(b), 6, 8; 2.2.4/3, 6, 15 PWDSolveOrder1
Conference HW from class 1 due in conf
3 Fri 1-Nov 2.3 Heat flow models 2.3.1/2, 5(a-b), 6(a-b), 9
4 Mon 4-Nov 4.1, 4.2 Terms: differential equation, independent/dependent variable, order, solution, linear/nonlinear, homogeneous/nonhomogeneous, general solution
Solution method: separation of variables
4.1/part (a) of 1, 9, 16, 17, 23; 29, 31, 32; 4.2/3
Quiz on lectures 1-2 plus Calc Review Sampler Quiz 1 solutions PWDQualBehavOrder1
5 Tue 5-Nov 4.3, 4.4 Solution method: characteristic equations 4.3/1-5, 12, 18(a) PWD2051CalcReview due at 10 p.m. Tuesday 5 Nov
Conference HW from class 2 due in conf
6 Thu 7-Nov 4.4 Solution method: undetermined coefficients 2.5/1(a), 5, 7; 2.6/13; 4.4.5/2-8, 21(b)
Conference HW from classes 3-4 due in conf
7 Fri 8-Nov Chapters 1, 2, 4 as covered Review for test Sample test:
I. (50 pts) 5 of 1.5/7(a), 13(b, d); 4.3/1-5, 12; 4.4.5/6, 21(b)
II (50 pts) 3 of 2.1.7/ 6, 8; 2.2/3, 15; 2.3/5(a, b), 9
PWDSolveOrder1 due at 10 p.m. Friday 8 Nov
PWDQualBehavOrder1 due at 10 p.m. Sunday 10 Nov
8 Mon 11-Nov Test 1 HW 5-6 due at test
Test 1 solutions Test 1 grading guide
9 Tue 12-Nov 5.1, esp. p. 204-206, 209-210 Model: spring-mass systems 5.1.6/1(a-b), 4 [correction: x'(0) = v_i], 12(a-d) PWD2051SolveOrder2
Conference
10 Thu 14-Nov 5.2, 6.1, 6.2, esp. p. 220, 231-234, 237-238 Model: pendulum
Terms: Linear DE, general solution, É, linearly independent solutions
5.2.2/2, 4; 6.1.5/3, 4, 6, 14; 6.2.1/1a, 2b, 3c
Conference HW 9 due in conf
11 Fri 15-Nov 6.2, 6.3, esp. p. 257-258 Solution method: characteristic equations 6.3.4/(i-iv) for 1, 3, 5, 11; 6.4.4/3(i-iv)
12 Mon 18-Nov 6.4, esp. p.267-268 (Euler's formula) Ditto 6.4.4/(i-iv) for 2, 4, 6, 12, 13; 24, 25
Quiz on lectures 9-10 Help session 11:00 a.m. - noon, SH 203
Tutoring in SH 002A noon - 1:00 p.m.
Quiz 2 solutions
13 Tue 19-Nov 6.5.1-6.5.2, esp. p 279-280 (phase angle-amplitude gen soln) Analyzing models without forcing 6.5.4/1(a), 3, 6, 7 PWD2051ModelOrder2
Conference HW 10-12 due
14 Thu 21-Nov 6.6, esp. Table 6.3, p. 293 Solution method: undetermined coefficients 6.6.3/(i) for 1-10; (ii-iii) for 3, 5, 18; 32 Undetermined coefficients killed Tacoma Narrows Bridge (sort of)
Conference HW 13 due in conf
15 Fri 22-Nov 6.7.1, esp. p. 309-310 Analyzing models with forcing 6.7.3/1, 2, 3, 4
Quiz on lectures 11-14 Help session noon-1:00 p.m., SH 304
Tutoring in SH 002A 1:00 p.m. - 2:00
PWD2051SolveOrder2 due at 10 p.m. Sat 23 Nov
Quiz 3 solutions
16 Mon 25-Nov Chapters 5, 6 as covered Review for test 2 PWD2051ModelOrder2 due at 10 p.m. Mon 25 Nov
Sample test:
I. (50 pts) 4 of 6.3.4/1, 3, 5; 6.4.4/2, 4, 6, 12, 13, 24, 25; 6.6.3/1-10, 32; 6.5.4/1
II. (50 pts) 3 of 5.1.6/1(b) & find position of mass as func of time; 5.2.2/4; 6.5.4/3, 6, 7; 6.7.3/1, 2, 3, 4
17 Tue 26-Nov Test 2 HW 14-15 due at test
Test 2 solutions Test 2 grading guide
Thanksgiving break - enjoy!
18 Mon 2-Dec 10.1 Laplace transform 10.1.3/(i-ii) for 1, 3, 5; use Table 10.1 for 6, 9, 11; 18 PWD2051Laplace
19 Tue 3-Dec 10.2 Inverse Laplace transform to solve initial-vallue problems 10.2.5/(i-ii) for 1, 4; 7, 8; 14(i-iii)
Conference HW 18 due in conf
20 Thu 5-Dec 10.2, 10.3 Useful properties for inverting Laplace transforms 10.2.5/(i-iii) for 17, 19; 10.3.5/1(a), 2(a), 3(a), 4(b)
Conference HW 19 due in conf
21 Fri 6-Dec 10.3 Ditto 10.3.5/5(b), 6(b), 7(a), 9
Quiz on lectures 18-19 Help session 11:00 a.m. - noon, SH 304
Tutoring in SH 002A 1:00 p.m. - 2:00
Quiz 4 solutions Transform table
22 Mon 9-Dec 10.3 Ditto 10.3.5/11, 13, 14
23 Tue 10-Dec 10.4 Discontinuous forcing functions 10.4.3/1, 3, 6, 11(i-ii)
Conference HW 20-22 due in conf
24 Thu 12-Dec 10.5 Impulse forcing 10.5.1/1, 2, 5
Conference HW 23 due in conf
25 Fri 13-Dec Chapter 10 More practice with transforms 10.6/(i-ii) for 11, 12; 15, 16, 17
Review for quiz Transform table
Quiz on lectures 20-22 Help session 11:00 a.m. - noon, SH 304
Tutoring in SH 002A 1:00 p.m. - 2:00
Quiz 5 solutions
26 Mon 16-Dec Chapter 10 as covered Review for test 3 Solutions to Chapter 10 HW PD2051Laplace due at 12:00 p.m. Mon 16 Dec
Sample test from WW PWD2051Laplace: 2 (use defn of Laplace transform) - 15 pts; 3 - 15 pts; 4 - 10 pts; 5, 9 - 30 pts each
27 Tue 17-Dec Test 3 HW 24-25 due at test
Test 3 Transform table
Test 3 solutions Test 3 grading guide
Conference - OK to attend another section as well as your own if you'd like extra help
28 Thu 19-Dec Disaster recovery: Make-up Test 1 or Test 2 available (you choose one only) if your original grade < 70.  Max possible score for average is 70.  
Thu 19-Dec Conference to return Test 3, prep for make-up test for those who are taking one.
Course outcomes
Homework Homework grading rubric
Academic honesty: WPI Academic Honesty Policiy
Students needing accomodations Typical accommodations for this course
Professional courtesies
Course grade
Proportion of final average Final grade
Hour exams 75% A- 90% or above
Paper HW 5% B - 80% to 89%
Paper HW average must exceed 70% C - 70% to 79%
WebWork HW 10% NR - less than 70%
Quizzes 10%
Last update: 17-Dec-13 5:36 PM