05/14/09: 6:00 - 9:00 p.m., our standard classroom VinH 20: Final
Exam.
05/14/09: 6:00 - 9:00 p.m., our standard classroom VinH 20: Final
Exam.
05/14/09: 4:00 - 5:00 p.m., VinH 324: office hours.
05/13/09: 4:00 - 5:00 p.m., VinH 324: office hours.
05/07/09: Solutions to Midterm Exam III. Review: solutions to Sample
Final from Fall 2005.
05/05/09: Review: solutions to Sample Final from Spring 2005.
04/30/09: Midterm Exam III (proctored by Alex Hanhart). Second
hour free.
04/28/08: Translation and partial fractions. Review: solutions to
sample Midterm III. [Section 10.3]
04/23/09: Laplace transforms of differential equations. [Section 10.2]
04/21/09: Laplace and inverse tranforms. [Section 10.1]
04/16/09: Second-order systems and mechanical applications (skipping
Forced Oscillations). [Section 7.4 through the top of p. 436]
04/14/09: The eigenvalue method for linear systems. [Section 7.3]
04/09/09: First-order systems of DEs. Matrices and linear
systems. [Sections 7.1-2]
04/07/09: Diagonalization. [Section 6.2]
04/02/09: Eigenvalues and eigenvectors. [Section 6.1]
03/31/09: Solutions to Midterm Exam II. Forced oscillations and
resonance. [Section 5.6]
03/26/09: Midterm Exam II. Nonhomogeneous equations and undetermined
coefficients (skipping Variation of Parameters). [Section 5.5 through
p. 343]
03/24/09: Mechanical vibrations. Review: solving the sample
exam. [Section 5.4]
03/12/09: Homogeneous equations with constant coefficients. [Section
5.3]
03/10/09: Second-order linear ODEs. General solutions of higher-order
linear ODEs. [Sections 5.1-2]
03/05/09: The vector space Rn and subspaces. Linear
combinations and independence of vectors. [Sections 4.2-3]
03/03/09: Linear equations and curve fitting (interpolation). The
vector space R3. [Sections 3.7 and 4.1]
02/26/09: Class canceled because of severe winter weather.
02/24/09: Determinants: minors and cofactors, the cofactor expansion,
row and column properties, transpose, invertibility, Cramer's rule,
the adjoint matrix. [Section 3.6]
02/19/09: (I will be out of town, Professor Bobkov will be
substituting for me). Inverses of matrices. [Section 3.5]
02/17/09: (I will be out of town, Alex Hanhart will be substituting
for me). Matrix operations. [Section 3.4]
02/12/09: Midterm exam I discussion (if graded by then,
hopefully). Matrices and Gaussian elimination. [Section 3.2]
02/10/09: First hour: Midterm Exam I. Second hour: Linear
systems. Method of elimination. [Chapters 1 and 2; Section 3.1]
02/05/09: Error in Euler's method. The improved Euler method. Review:
solving the sample exam. [Section 2.5; Chapters 1 and 2]
02/03/09: (I will be out of town, Professor Bobkov will be
substituting for me). 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]
01/29/09: 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. 100]
01/27/09: Linear first-order DEs; integrating factors. Mixture
problems. [Section 1.5]
01/22/09: 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]
01/20/09: How DEs arise: mathematical models. Terminology. Integrals
as solutions. The geometry of DEs: slope fields; existence and
uniqueness. [Sections 1.1-3]