MA 2051 SCHEDULE
Term C02
The following schedule is tentative. Most of the time, we will be following it closely, but ocasional deviations are to be expected.
| Day | Date | Topic | Section | Lecture Notes | Homework |
|---|---|---|---|---|---|
| Fr | 01/10 | Introduction. Classification of ODEs. | 4.1 | PostScritpt or pdf | PostScritpt or pdf |
| Mo | 01/13 | Solutions. Existence and uniqueness thorems. | 1.3 | PostScritpt or pdf | PostScritpt or pdf |
| We | 01/15 | Direction fields, steady states, stability. | 3.2, 3.3 | PostScritpt or pdf | PostScritpt or pdf |
| Fr | 01/17 | Numerical Methods. | 1.3, 3.1 | PostScritpt or pdf | PostScritpt or pdf |
| Mo | 01/20 | TEST 1 | review | PostScritpt or pdf | |
| We | 01/22 | Separation of variables. Linear Equations. | 4.2 4.1 |
PostScritpt or pdf | PostScritpt or pdf |
| Fr | 01/24 | Characteristic equations. Udetermined coefficients. | 4.3 4.4 |
PostScritpt or pdf | PostScritpt or pdf |
| Mo | 01/27 | Mixing problems. Population dynamics. | 2.1, 2.2 | PostScritpt or pdf | PostScritpt or pdf |
| We | 01/29 | Heat flow and cooling problems.Mechanical Problems. | 2.3 | PostScritpt or pdf | PostScritpt or pdf |
| Fr | 02/01 | TEST 2 | review | PostScritpt or pdf | |
| Mo | 01/31 | Second order models. | 5.1, 5.2, 5.3 | PostScritpt or pdf | PostScritpt or pdf |
| We | 02/05 | Linear models, independence, Wronskian | 6.1, 6.2 | PostScritpt or pdf | PostScritpt or pdf |
| Fr | 02/07 | Characteristic equations (no forcing term). | 6.3, 6.4 | PostScritpt or pdf | PostScritpt or pdf |
| Mo | 02/10 | Forcing term, resonance, undetermined coeffs. | 6.6 | PostScritpt or pdf | PostScritpt or pdf |
| We | 02/12 | Amplitude and phase, resonance, pulsations. | 6.5, 6.7 | PostScritpt or pdf | PostScritpt or pdf |
| Fr | 02/14 | TEST 3 | review | PostScritpt or pdf | |
| Mo | 02/17 | Systems of ordinary differential equations. | 8.1 | PostScritpt or pdf | PostScritpt or pdf |
| We | 02/19 | Linear systems with constant coefficients. | 8.2 | PostScritpt or pdf | PostScritpt or pdf |
| Fr | 02/21 | The geometry of second order equations. | 7.1, 7.2 | PostScritpt or pdf | PostScritpt or pdf |
| Mo | 02/24 | TEST 4 | review | PostScritpt or pdf | |
| We | 02/26 | Make-up tests |
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