Math 308-301/302 Tentative Day by Day Schedule for the first part of the course
05/30.
Solutions of some differential equations (first order linear equations
with constant coefficients, section 1.2) and separable equations
(section 2.2);
06/01
Separable equations (section 2.2, continued). Direction field,
autonomous equations and population dynamics (sections 1.1 and 2.5
combined);
06/04 Autonomous equations and population dynamics (section 2.5
continued). Linear equations: Method of integrating factors (section 2.1);
06/06 Linear equations: Method of integrating factors (section 2.1 continued). Modelling with first order equations (section 2.3);
06/08 Differences between linear and non-linear equations (section 2.4). Exact equations and integrating factors (section 2.6);
06/11 Exact equations and integrating factors (section 2.6 continued). Solutions of linear homogeneous equations of second order; the Wronskian (section 3.2);
Linear homogeneous equations of second order with constant
coefficients: the case of distinct roots of characteristic equation
(section 3.1);
06/13 Review of complex numbers. Linear homogeneous equations of second order with constant coefficients: the case of complex roots of the characteristic equation (section 3.3);
06/15 First midterm exam (tentatively). Repeated roots (section 3.4);
06/18 The method of reduction of order (section 3.4) Non-homogeneous equations; Method of undetermined coefficients (section 3.5);
06/20 Method of undetermined coefficients (section 3.5, continued). Method of variation of parameters (section 3.6);
06/22 Method of variation of parameters (section 3.6). Mechanical and electrical vibrations (section 3.7);