Math 2243: Class Outlines, Spring 2010

o 05/12/10: 6:00 - 9:00 p.m., our standard classroom VinH 20: Final Exam.

o 05/12/09: 4:00 - 5:00 p.m., VinH 324: office hours.

o 05/11/09: 4:00 - 5:00 p.m., VinH 324: office hours.

o 05/10/09: 2:30 - 3:30 p.m., VinH 324: office hours.

o 05/05/10: Review: solutions to Sample Final from Fall 2005, continued from Problem 6. Solutions to Sample Final from Spring 2005.

o 05/03/10: Review: Solutions to Midterm Exam III. Solutions to Sample Final from Fall 2005 through Problem 5.

o 04/28/10: Midterm Exam III. Second hour free.

o 04/26/10: Translation and partial fractions. Review: solutions to sample Midterm III. [Section 10.3]

o 04/21/10: Laplace transforms of differential equations. [Section 10.2]

o 04/19/10: Laplace and inverse tranforms. [Section 10.1]

o 04/14/10: Second-order systems and mechanical applications (skipping Forced Oscillations). [Section 7.4 through p. 439]

o 04/12/10: The eigenvalue method for linear systems. [Section 7.3]

o 04/07/10: First-order systems of DEs. Matrices and linear systems. [Sections 7.1-2]

o 04/05/10: Diagonalization. [Section 6.2]

o 03/31/10: Eigenvalues and eigenvectors. [Section 6.1]

o 03/29/10: Solutions to Midterm Exam II. Forced oscillations and resonance. [Section 5.6]

o 03/24/10: Midterm Exam II. Nonhomogeneous equations and undetermined coefficients (skipping Variation of Parameters). [Section 5.5 through p. 347]

o 03/22/10: Mechanical vibrations. Review: solving the sample exam. [Section 5.4]

o 03/13-21/10: Spring Break. Good time to start getting ready to the midterm! ;-)

o 03/10/10: Homogeneous equations with constant coefficients. [Section 5.3]

o 03/08/10: Second-order linear ODEs. General solutions of higher-order linear ODEs. [Sections 5.1-2]

o 03/03/10: The vector space Rn and subspaces. Linear combinations and independence of vectors. [Sections 4.2-3]

o 03/01/10: Linear equations and curve fitting (interpolation). The vector space R3. [Sections 3.7 and 4.1]

o 02/24/10: Determinants: minors and cofactors, the cofactor expansion, row and column properties, transpose, invertibility, Cramer's rule, the adjoint matrix. [Section 3.6]

o 02/22/10: Inverses of matrices. [Section 3.5]

o 02/17/10: Matrix Operations. [Section 3.4]

o 02/15/10: Midterm Exam I discussion. Matrices and Gaussian elimination. [Section 3.2]

o 02/10/10: First hour: Midterm Exam I. Second hour: Linear systems. Method of elimination. [Chapters 1 and 2; Section 3.1]

o 02/08/10: Error in Euler's method. The improved Euler method. Review: solving the sample exam. [Section 2.5; Chapters 1 and 2]

o 2/3/10: Acceleration-velocity models (variable gravitational acceleration, escape velocity). Numerical approximations: Euler's method. [Sections 2.3 and 2.4]

o 2/1/10: (I will not be here, Professor Chung will be substituting for me.) Population models: the general one, the logistic model, the doomsday/extinction model. Acceleration-velocity models (resistance proportional to velocity and square of velocity). [Sections 2.1 and 2.3 through p. 104]

o 1/27/10: Linear first-order DEs; integrating factors. Mixture problems. [Section 1.5]

o 1/25/10: 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]

o 1/20/10: How DEs arise: mathematical models. Terminology. Integrals as solutions. The geometry of DEs: slope fields; existence and uniqueness. [Sections 1.1-3]


Last modified: Tue Jan 20 17:46:09 CDT 2009