12/21/09: 6:00 - 9:00 p.m., our standard classroom VinH 6: Final
Exam.
12/21/09: 6:00 - 9:00 p.m., our standard classroom VinH 6: Final
Exam.
12/21/09: 4:00 - 5:00 p.m., VinH 324: office hours.
12/16/09: I will be out of town, Professor Bobkov will be substituting
for me. Review: solutions to Sample Final from Fall 2005,
continued. Solutions to Sample Final from Spring 2005.
12/14/09: I will be out of town, Professor Bobkov will be substituting
for me. Review: Solutions to Midterm Exam III. Solutions to Sample
Final from Fall 2005.
12/09/09: Midterm Exam III. Translation and partial
fractions. [Section 10.3]
12/07/09: Laplace transforms of differential equations. Review:
solutions to sample Midterm III. [Section 10.2]
12/02/09: Laplace and inverse tranforms. [Section 10.1]
11/30/09: Second-order systems and mechanical applications (skipping
Forced Oscillations). [Section 7.4 through p. 439]
11/25/09: Class canceled -- have a happy Thanksgiving!
11/23/09: The eigenvalue method for linear systems. [Section 7.3]
11/18/09: First-order systems of DEs. Matrices and linear
systems. [Sections 7.1-2]
11/16/09: Diagonalization. [Section 6.2]
11/11/09: Eigenvalues and eigenvectors. [Section 6.1]
11/09/09: Solutions to Midterm Exam II. Forced oscillations and
resonance. [Section 5.6]
11/04/09: Midterm Exam II. Nonhomogeneous equations and undetermined
coefficients (skipping Variation of Parameters). [Section 5.5 through
p. 347]
11/02/09: Mechanical vibrations. Review: solving the sample
exam. [Section 5.4]
10/28/09: Homogeneous equations with constant coefficients. [Section
5.3]
10/26/09: Second-order linear ODEs. General solutions of higher-order
linear ODEs. [Sections 5.1-2]
10/21/09: The vector space Rn and subspaces. Linear
combinations and independence of vectors. [Sections 4.2-3]
10/19/09: Linear equations and curve fitting (interpolation). The
vector space R3. [Sections 3.7 and 4.1]
10/14/09: Determinants: minors and cofactors, the cofactor expansion,
row and column properties, transpose, invertibility, Cramer's rule,
the adjoint matrix. [Section 3.6]
10/12/09: Inverses of matrices. [Section 3.5]
10/07/09: Matrix operations. [Section 3.4]
10/05/09: Midterm Exam I discussion. Matrices and Gaussian
elimination. [Section 3.2]
09/30/09: First hour: Midterm Exam I. Second hour: Linear
systems. Method of elimination. [Chapters 1 and 2; Section 3.1]
09/28/09: Error in Euler's method. The improved Euler method. Review:
solving the sample exam. [Section 2.5; Chapters 1 and 2]
09/23/09: Acceleration-velocity models (resistance proportional to
square of velocity, variable gravitational acceleration, escape
velocity). Numerical approximations: Euler's method. [Sections 2.3 and
2.4]
09/21/09: Population models: the general one, the logistic model, the
doomsday/extinction model. Acceleration-velocity models (resistance
proportional to velocity). [Sections 2.1 and 2.3 through p. 102]
09/16/09: Linear first-order DEs; integrating factors. Mixture
problems. [Section 1.5]
09/14/09: 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]
09/09/09: How DEs arise: mathematical models. Terminology. Integrals
as solutions. The geometry of DEs: slope fields; existence and
uniqueness. [Sections 1.1-3]