 |
|
|
ADVANCED ENGINEERING MATHEMATICS
for graduate students
WINTER 2001
| SU | MN | TU | WD | TH | FR | ST | |
| January | 1 | 2 | 3 | 4 | 5 | 6 | |
| 7 | 8 | 9 | 10 | 11 | 12 | 13 | |
| 14 | H | 16 | 17 | 18 | 19 | 20 | |
| 21 | 22 | 23 | 24 | 25 | 26 | 27 | |
| February | 28 | 29 | 30 | 31 | 1 | 2 | 3 |
| 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| 11 | 12 | 13 | 14 | 15 | 16 | 17 | |
| 18 | H | 20 | 21 | 22 | 23 | 24 | |
| March | 25 | 26 | 27 | 28 | 1 | 2 | 3 |
| 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
| 11 | 12 | 13 | 14 | 15 | 16 | 17 | |
| 18 | 19 | 20 | 21 | 22 | 23 | 24 | |
| 25 | 26 | 27 | 28 | 29 | 30 | 31 | |
| April | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| 8 | 9 | 10 | 11 | 12 | 13 | 14 | |
| 15 | 16 | 17 | 18 | 19 | 20 | 21 | |
| 22 | 23 | F | 25 | 26 | 27 | 28 |
Los Alamos National Laboratory Maple Tutorial
HOMEWORK
| day # | date | read | homework problems | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 1 | Jan 08 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 2 | Jan 10 | 3.1 definitions, notations,
examples 1,3,4, exponential and trigonometric forms, De Moivre's theorem 3.2 definitions, operations, orthogonality 3.3 the algebra of matrices | 3.1: 1,3,6,11,22,24
3.2: 3,5,7,15,23,27,32 3.3: 3,9,13,14,17 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 3 | Jan 12 | 3.4 transpose,conjugate
examples 1,2,3 Kronecker delta elementary row operations 3.5 determinants 3.6 systems of linear equations row echelon form linear dependence | 3.4: 1,4,5,7a,9,17
3.5: 1a,3,10a,14,15 3.6: 1a,1d,2c,11,17a,20 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 4 | Jan 17 | 3.7-3.8 linear algebra with MAPLE | 3.7: 1b,2a,6a,7b,10,12a
3.8: 1a ,2b,4,7 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 5 | Jan 19 | Chapter 1 graph of the general solution: first order d.e. second order d.e. 1.4 example initial value problem 1 initial value problem 2 |
1.1: 12,13,17c 1.2: 1,4,13 1.3: 13b, 20 ,25 1.4: 1,2,4 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 6 | Jan 22 | Chapter 1 o.d.e. of the first order orthogonal trajectories #1 orthogonal trajectories #2 | 1.6: 1,
12 1.7: 3 1.8: 19 1.9: 6 (also sketch) 1.10: 32 (also sketch) 1.11: 14 1.12: 7 1.14: 13,16 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 7 | Jan 24 | Chapter 1 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| 8 | Jan 26 |
first order o.d.e.
| 1.5: 36,66,skier
| 9 | Jan 29
| Chapter 2
| 2.1: 1,4 | 2.2: 18,19,42,43,50 2.3: 3 2.4: 3,7,40,43,51 10 | Jan 31
| Chapter 2
| 2.5: 37,50,69,84 | 2.6: 7,16 2.7: 13 2.8: 3,13,36 11 | Feb 2
| Chapter 2
| 2.9: 5,11,26,36,37
| 12 | Feb 5
| Chapter 2
| 2.9: 39,46,51,53,63
| 13 | Feb 7
| Chapter 2
| 2.10: 15,21,29
| 14 | Feb 9
| Chapter 4 | homogeneous system of 2 eqs 4.3: 4f,12b,13d | 4.4: 12a 4.5: 1,6,14,15 15 | Feb 12
| Chapter 4
| homogeneous system of 2 eqs general solution non-homogeneous system of 2 eqs general solution 4.5: 8,
8 (plot) | 16 17 17plot(homog) 17plot(non-homog) also sketch the graph 16 | Feb 14
| Review
|
| | Feb 16
| TEST #1
| #1 | #2 #3 (plot) 17 | Feb 20
| Chapter 8
| read sections 8.1-8.3
| 18 | Feb 21
| Chapter 8
| read sections 8.1-8.3
| 19 | Feb 23
| Chapter 8
| 8.1: 1,3,7 | 8.2: 3, 8 14 ,21,23 20 | Feb 26
| Chapter 8
|
| 21 | Feb 28
| Chapters 8
|
| 22 | Mar 2
| Chapter 8
|
| 23 | Mar 5
| Chapter 8
| 8.3: 1,7,15 | 8.4: 1, 3, 9 ,36 24 | Mar 7
| Chapter 8
| 8.5: 3,9,
17
,22,23 | 25 | Mar 9
| Chapter 8
|
| | Mar 12
| TEST #2
| #1 | #2 #3 26 | Mar 14
| Chapter 11 | partial differential equations read section 11.2 | 2.5: 69,73,70,72 11.2: 8 27 | Mar 16
| Chapter 11 | Laplace Equation graph of solution read 11.5 example 1 | 11.5: 11a 28 | Mar 19
| Chapter 11 | Heat Equation homogeneous equation with homogeneous Dirichlet b.c. example
Heat Equation | homogeneous equation with homogeneous Neumann b.c. (sketch the graph of solution with f(x) from example) 29 | Mar 21
| Chapter 11 | Heat Equation non-homogeneous equation and boundary conditions example 1 example 2 11.5:
31a
,32
| 30 | Mar 23
| 11.6 | Sturm-Liouville Problem Generalized Fourier series Heat Equation example Laplace's equation with Dirichlet and Neumann boundary conditions | 11.6: 40,41a 31 | Mar 26
| 11.6 | Heat Equation with Diriclet and Robin boundary conditions example 11.6:
10
| also plot solution with initial condition from example 32 | Mar 28
| 11.6: Wave Equation | example1 (Diriclet b.c.) example2 (Diriclet b.c.) example3(standing waves) Wave Equation | (Diriclet and Neumann b.c.) 33 | Mar 30
| Chapter 11 | 2-D heat equation 2-D heat equation work | on PROJECT 34 | Apr 2
| Chapter 12 | Bessel Functions work | on PROJECT 35 | Apr 4
| Chapter 11 | Wave Equation in cylindrical coordinates annular membrane example 1 example 2 circular membrane example 1 example 2 standing waves example 1 example 2 example 3 Laplace's Equation | in cylindrical coordinates 36 | Apr 6
| Chapter 9 | Fourier Transform read 9.1-9.3 | work on project 37 | Apr 9
| Chapter 9 | Fourier Transform 9.3: 1, 2a,c
| 38 | Apr 11
|
| 10.2: 1
| 39 | Apr 13
| Chapter
| 10.7: | read example 3 solve problem #39 40 | Apr 16
| Chapter
|
| | Apr 24
|
| FINAL 
#1 | #2a #2b |
Heat Transfer (Robin-Robin)