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

6-26: 3.1 Introduction to linear systems.
      3.2 Matrices and Gaussian elimination.

6-27: 3.3 Reduced row-echelon matrices.
      3.4 Matrix operations.
      3.5 Inverses of matrices.

6-28: 3.6 Determinants.
      4.1 The vector space R3.

6-29: 4.2 The vector space Rn and subspaces.
      4.3 Linear combinations and indenpence of vectors.
      4.4 Bases and dimension for vector spaces.

6-30: 6.1 Introduction to eigenvalues.
      6.2 Diagonalization of matrices.

7-3:  6.3 Applications involving powers of matrices.
      1.1 First order differential equations.

7-4:  Holiday!

7-5:  1.2 Integrals as general and particular solutions.
      1.3 Slope fields and solution curves.
      1.4 Separable equations and applications.

7-6:  1.5 Linear first-order equations.
      1.6 Substitution methods and exact equations.

7-7: 5.1 Introduction: second order linear equations.
     5.2 General solutions of linear equations.

7-10: 5.3 Homogeneous equations with constant coefficients.
     5.4 Mechanical vibrations.

7-11: Midterm.

7-12: 5.5 Nonhomogeneous equations and undertermined coefficients.
      5.6 Forced oscillations and resonance.
 
7-13: 7.1 First order systems and applications.
      7.2 Matrices and linear systems.

7-14: 7.3 The eigenvalue method for linear systems.
      7.4 Second order systems and mechanical applications.

7-17: 8.1 Matrix exponentials and linear systems.

7-18: 10.1 Laplace transforms and inverse transforms.
 
7-19: 10.2 Transformation of initial value problems.
      10.3 Translation and partial fractions.

7-20: 10.4 Derivatives, integrals and products pf transforms.

7-21: 10.5 Periodic and piecewise continuous input functions.

7-24: 9.1 Stability and the phase plane.

7-25: 11.1 Introduction and review of power series
      11.2 Power series solutions

7-26: Labs discussion at Bruno's office, check schedule on the web       site. No class. 
      
7-27: Review.
    
7-28: Final exam.

7-29 to 31: Provisional final grades are posted on the classe's web site.

8-1: Final grades are posted at UCSC's portal.