12/16/08: 6:00 - 9:00 p.m., our standard classroom VinH 20: Final Exam. The last homework is due.
12/09/08: Solutions to Midterm Exam IV. Translation and partial fractions. [Section 10.3]
12/04/08: Midterm Exam IV. Laplace transforms of differential equations. [Section 10.2]
12/02/08: Midterm III solutions. Review: solutions to sample Midterm IV. [Just keep studying; if you have not done some homeworks, it is a good time to catch up before the test]
11/27/08: Thanksgiving. [Just study for the midterm]
11/25/08: Laplace and inverse tranforms. [Section 10.1]
11/20/08: Second-order systems and mechanical applications. [Section 7.4]
11/18/08: The eigenvalue method for linear systems. [Section 7.3]
11/13/08: Matrices and linear systems. [Section 7.2]
11/11/08: Midterm Exam III. Systems of DEs. [Section 7.1]
11/06/08: Diagonalization. Review: solving the sample exam. [Section 6.2]
11/04/08: Eigenvalues and eigenvectors. [Section 6.1]
10/30/08: Forced oscillations and resonance. [Section 5.6]
10/28/08: Nonhomogeneous equations and undetermined coefficients. [Section 5.5]
10/23/08: Solutions to Midterm Exam II. Mechanical vibrations. [Section 5.4]
10/21/08: General solutions of higher-order linear ODEs. Homogeneous equations with constant coefficients. [Sections 5.2-3]
10/16/08: Midterm Exam II. Second-order linear ODEs. [Section 5.1]
10/14/08: Linear combinations and independence. Review: solving the sample exam. [Section 4.3, Chapters 3 and 4]
10/09/08: The vector spaces R3 and Rn. Subspaces. [Sections 4.1 and 4.2]
10/07/08: Determinants: invertibility, Cramer's rule, the adjoint matrix. Linear equations and curve fitting (interpolation). [Section 3.6 through the end and Section 3.7 through p. 216]
10/02/08: Determinants: minors and cofactor, the cofactor expansion, row and column properties, transpose. [Section 3.6 through p. 206]
09/30/08: Inverses of matrices. [Section 3.5]
09/25/08: Solutions to Exam I. Matrices and Gaussian elimination. Matrix operations. [Sections 3.2 and 3.4]
09/23/08: Midterm Exam I. Linear systems. Method of elimination. [Chapters 1 and 2. Section 3.1]
09/18/08: Error in Euler's method. The improved Euler method. Review of Chapters 1 and 2. [Section 2.5]
09/16/08: Acceleration-velocity models (resistance proportional to velocity and square of velocity, variable gravitational acceleration, escape velocity). Numerical approximations: Euler's method. [Sections 2.3 and 2.4]
09/11/08: Population models: the general one, the logistic model, the doomsday/extinction model. [Section 2.1]
09/09/08: Linear first-order DEs; integrating factors. Mixture problems. [Section 1.5]
09/04/08: Separable DEs and applications: natural (exponential) growth and decay (population growth, compound interest, radioactive dating), Newton's law of cooling. Word problems. [Section 1.4]
09/02/08: How DEs arise: mathematical models. Terminology. Integrals as solutions. The geometry of DEs: slope fields; existence and uniqueness. [Sections 1.1-3]