Calendar for AMS27- Spring06 (Check this file regularly, there ----------------------------  might be some changes as the 				quarter develops).

4-4:3.1 Introduction to linear systems.
    3.2 Matrices and Gaussian elimination.

4-6:3.3 Reduced row-echelon matrices.
    3.4 Matrix operations.
    3.5 Inverses of matrices.

4-11:3.6 Determinants.
     4.1 The vector space R3.

4-13:4.2 The vector space Rn and subspaces.
     4.3 Linear combinations and indenpence of vectors.
     4.4 Bases and dimension for vector spaces.

4-18:4.5 Row and column spaces.
     4.6 Orthogonal vectors i nRn.

4-20:6.1 Introduction to eigenvalues.
     6.2 Diagonalization of matrices.

4-25:6.3 Applications involving powers of matrices.
     1.1 First order differential equations.

4-28:1.2 Integrals as general and particular solutions.
     1.3 Slope fields and solution curves.
     1.4 Separable equations and applications.
     
5-2:1.5 Linear first-order equations.
    1.6 Substitution methods and exact equations.

5-4: Midterm.

5-9:5.1 Introduction: second order linear equations.
    5.2 General solutions of linear equations.

5-11:5.3 Homogeneous equations with constant coefficients.
     5.4 Mechanical vibrations.
     5.5 Nonhomogeneous equations and undertermined coefficients.

5-16:5.6 Forced oscillations and resonance.
     7.1 First order systems and applications.
     7.2 Matrices and linear systems.

5-18:7.3 The eigenvalue method for linear systems.
     7.4 Second order systems and mechanical applications.

5-23:7.5 Multiple eigenvalue solutions.
     8.1 Matrix exponentials and linear systems.

5-25:8.2 Nonhomogeneous linear systems.
     9.1 Stability and the phase plane.


5-30:9.2 Linear and almost linear systems.
     9.3 Ecological models: predators and competitors.

6-1:?9.4 Nonlinear mechanical systems.
    10.1 Laplace transforms and inverse transforms.
    10.2 Transformation of initial value problems.

6-6:10.3 Translation and partial fractions.
    10.4 Derivatives, integrals and products pf transforms.

6-8:10.5 Periodic and piecewise continuous input functions.
    Review