m23f05 at math.dartmouth.edu
(email to ahb
will be ignored)
Lectures: MWF 10am, Xhour is Thurs 12 noon, location Bradley 105. I will announce Xhour usage each week; it will vary from displaced lectures to problemsolving to review, or empty. 45 quizzes will be given in lecture throughout the term. Office hours 45pm Mon, 35pm Tues.
week  date  reading  homework (due following Wed) / daily or weekly topics / info 

1  Sep 21 W  website, 1.11.3  HW1 assigned. Direction fields, introduction to initialvalue problems, starting with computing. 
22 Th Xhour  intro.m
 Overview of Matlab, important to get it set up and check simple commands work  
23 F  2.1, 2.2  Firstorder linear ODEs, separation of variables  
26 M  2.4, 2.6  Existence and uniqueness, exact equations.  
2  28 W  2.7  HW2 assigned (get euler.m ).
Introduction to numerical methods, Euler's method. (displaced OHs 121)

29 Th Xhour  (free)  
30 F  2.3, 2.5  Modeling and population models.  
Oct 3 M  3.1  Secondorder linear homogeneous ODEs: characteristic equation  
3  5 W  3.2  revised HW3 assigned. Quiz 1 (on Ch.2, no Matlab; solutions). Fundamental solutions, Wronskian. 
6 Th Xhour  this  (read crash course on 2by2 matrices in your own time)  
7 F  3.3  Wronskian, linear independence  
10 M  3.4  Complex roots  
4  12 W  3.5, 3.6  HW4 assigned (get resonance.m). Repeated roots, method of undetermined coefficients. 
13 Th Xhour  3.7  catchup lecture on 2ndorder ODEs: variation of parameters  
14 F  3.8  Mechanical, electrical vibrations. Links: unforced, Qfactor, forcing 1, 2, Tacoma videos 1, 2, 3.  
17 M  3.9  Driven oscillators and resonance.  
5  19 W  5.1, 5.2  HW5 assigned. Power series, series solutions 
20 Th Xhour  Quiz 2 (on Ch.3, no Matlab; solutions), and power series problems. Matlab Taylor convergence demo (calls show_zser).  
21 F  5.3, 5.4  series solutions about an ordinary point, Euler equations. power series applet.  
24 M  7.1, 7.2  Systems of firstorder equations, existence and uniqueness review, review row reduction.  
6  Midterm: Wednesday October 26th
in class
(on everything so far). Also an openbook takehome part (solutions, codes: qu1.m ,
solve_fluid.m ,
damping.m ,
roots.m ).
 
28 F  7.3  Takehome exam due. Linear algebra review. Applet to visualize Ax.  
30 M  7.3  Eigenvalues, eigenvectors.  
7  Nov 2 W  7.4, 7.5  HW6 assigned. Homogeneous systems. Applets: click pplane, and local 
3 Th Xhour  7.6  Handling unusual eigenvalues.  
4 Fr  (no lecture: Alex out of town)  
7 M  7.8, 9.1  Phase portraits of linear systems.  
8  9 W  9.2, 9.3  HW7 assigned. Almostlinear systems, pendulum. 
10 Th Xhour  Quiz 3 (on Ch. 7, excluding 7.7 and 7.9; solutions).  
11 Fr  10.1  Boundaryvalue problems  
14 M  10.2, 10.3  Fourier series, convergence.  
9  16 W  10.4  HW8 assigned. 
17 Th Xhour  (Fourier review?)  
18 Fr  10.5  Separation of variables. PDEs: heat equation, applet, and.  
21 M  10.6, 10.7  HW9 assigned. Heat w/ mixed boundary conditions. Wave equation, applet (maximize # masses), odd modes and pulse.  
........... 22 Tu  27 Su Thanksgiving recess .............  
10  28 M  10.8  Laplace's equation. 
30 W  Quiz 4 (on Ch. 9.13 and 10.16; solutions). HW9 due. Inclass worksheet. (no lecture: Alex out of town W and Th)  
Dec 2 Fr  Review session (during usual lecture time). Recurring themes and Review choosing methods.  
Final Exam: Monday December 5th at 8:00 am  11:00 am, Bradley 102. Single sheet of notes allowed, no algebraic/graphing calculators. Note this exam will not be given early to accommodate travel plans. (solutions). 
Grade weighting: Your overall grade will be computed according to HW 20%, Quizzes 15%, Midterm 25%, Final 40%. Note that although HW has a low weighting, it is the main chance you get to practise the material and get feedback.
Honor principle. Exams: no help given or received. Homework: no copying, however collaboration on approaches to problems is encouraged. Writeups must be done individually.
Homework: I strongly encourage you to attempt the relevant homework problems before the next lecture. Leaving it all for Tuesday night is bad time management and risks you getting left behind in this fastpaced course. Please make your working/reasoning as clear as you can, write clearly, don't be scared of using lots of space on the page, and staple your work. Late homework will not be accepted (unless by prior arrangement for a valid reason). Your lowest HW score will be dropped.
Special needs: Let me know asap, certainly in first 2 weeks. Also stop by the Academic Skills Center in 301 Collis to register for support services.
Private tutoring: Tutor Clearinghouse may have private oneonone tutors available for Math 23. The tutors are recruited on the basis that they have done well in the subject, and are trained by the Academic Skills Center. If a student receives financial aid, the College will pay for three hours of tutoring per week. If you would like to have a tutor, please go to 301 Collis and fill out an application as early in the term as possible.
intro.m
.
dfield
to plot direction fields overlayed with
ODE solutions:
Download
Matlab version (save to desktop). Similarly here
is
pplane7.m (save to desktop).
Or you can use
java applet versions
from your browser.