Applied Math for Engineers¶
These are notes on MATH 305 at UD by Toby Driscoll. All rights reserved.
Schedule for Spring 2021¶
Linear Algebra¶
Date |
Section |
Kapitula |
Suggested practice |
---|---|---|---|
Feb. 23 |
– |
||
Feb. 23 |
– |
||
Feb. 23 |
1.1.1, 1.1.2 |
1.1.1 |
|
Feb. 23 |
1.1.3 |
||
Feb. 23 |
1.1.3 |
1.1.2, 1.1.3, 1.1.5 |
|
Mar. 2 |
1.2.1 |
||
Mar. 2 |
1.2.2 |
1.2.1, 1.2.2 |
|
Mar. 2 |
1.3 |
1.3.1 |
|
Mar. 2 |
1.4 |
1.4.1(a,b), 1.4.3 |
|
Mar. 9 |
1.10 |
1.10.1, 1.10.2 |
|
Mar. 9 |
1.5 |
1.5.1, 1.5.3 |
|
Mar. 9 |
1.11 |
1.11.1, 1.11.3, 1.11.6 |
|
Mar. 9 |
1.12.1, 1.12.2 |
1.12.2 (a-d), 1.12.3, 1.12.8(a) |
|
Mar. 9 |
– |
1st-order linear ODE¶
Date |
Section |
Kapitula |
Boyce & DiPrima |
Suggested practice |
---|---|---|---|---|
Mar. 16 |
– |
|||
Mar. 16 |
– |
|||
Mar. 16 |
– |
|||
Mar. 16 |
2.3 |
K2.3: 1,2 |
||
Mar. 16 |
2.4 |
K2.4: 1,2 |
||
Mar. 23 |
2.5.1, 2.5.2 |
K2.5.1, BD2.1: 39,41 |
||
Mar. 23 |
– |
K2.5.2, BD2.1: 15,30 |
||
Mar. 23 |
(optional) Integrating factor |
– |
2.1 |
|
Mar. 23 |
2.5.3 |
K2.5.3 |
||
Mar. 30 |
2.6.1 |
2.3 |
K2.6.3 (a-c), K2.6.4, BD2.3: 3,16 |
Steps and impulses¶
Date |
Section |
Kapitula |
Boyce & DiPrima |
Suggested practice |
---|---|---|---|---|
Mar. 30 |
– |
|||
Mar. 30 |
5.1 |
6.3 |
K5.1.1, BD6.3: 11,13,15,20,22,33(hard) |
|
Mar. 30 |
5.1 |
6.5 (skip 2nd order) |
||
Apr. 6 |
5.2 |
6.1 |
K5.2: 2,3 |
|
Apr. 6 |
– |
2nd-order linear ODE¶
Date |
Section |
Kapitula |
Boyce & DiPrima |
Suggested practice |
---|---|---|---|---|
Apr. 6 |
– |
– |
||
Apr. 6 |
– |
|||
Apr. 6 |
– |
3.1,3.4 |
BD 3.1: 1-6, 9-12; 3.4: 1-2, 11-12, 18 |
|
Apr. 13 |
1.11 |
3.3 |
BD 3.3: 1-4, 7-9, 17-19 |
|
Apr. 13 |
– |
BD 3.7: 1-3, 16 |
||
Apr. 13 |
4.3.2 |
3.7 |
BD 3.7: 6, 7, 13, 17 |
|
Apr. 13 |
4.2.2 |
K4.2: 1(a-c), 2(a-c); BD 3.5: 1-3, 15-16 |
||
Apr. 13 |
4.3.3 |
3.8 |
BD 3.8: 5, 9, 10, 12 |
Laplace transforms¶
Date |
Section |
Kapitula |
Boyce & DiPrima |
Suggested practice |
---|---|---|---|---|
Apr. 20 |
– |
|||
Apr. 20 |
5.3 |
6.2 |
K 5.3: 1(a),2(a), 3(a); 6.2: 1-4, 11-12 |
|
Apr. 20 |
5.3 |
6.3, 6.5 |
K 5.3: 1(b-c),2(b-c); BD 6.3: 7,11,15,20-21; 6.5: 3(a)-6(a) |
|
Apr. 20 |
5.5 |
6.6 |
K 5.5: 1(a-c), 2(a-c), 3(a-b) ; BD 6.6: 13-15 |
Linear ODE systems¶
Date |
Section |
Kapitula |
Boyce & DiPrima |
Suggested practice |
---|---|---|---|---|
Apr. 27 |
– |
– |
||
Apr. 27 |
3.2 |
K 3.2: 1 |
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Apr. 27 |
3.4 (part) |
|||
Apr. 27 |
3.4 (part), 3.5 (part) |
K 3.4: 1 |
||
Apr. 27 |
3.5 (part), 3.5.4 (part) |
K 3.5: 7, 8(a,c), 12, 20 |
||
May 4 |
3.5.1–3.5.5 |
K 3.5: 1, 2, 6, 14, 15 |
||
May 4 |
– |
|||
N/A |
~~Variation of parameters~~ |
3.6.1 |
Nonlinear ODEs¶
Date |
Section |
Kapitula |
Boyce & DiPrima |
Suggested practice |
---|---|---|---|---|
May 4 |
– |
|||
May 4 |
– |
|||
May 11 |
– |
|||
May 11 |
– |
|||
May 11 |
– |
|||
May 11 |
– |