EML 5060 Syllabus |
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© Leon van Dommelen |
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8 Class Schedule
Class times: MWF 12:30-1:20 pm in A235 CEB (A building).
The below schedule is subject to change.
- 08/25/14 M (Calc I) Syllabus. Graphs.
- 08/27/14 W (Calc I) Graphs.
- 08/29/14 F (Calc I) Graphs. Optimization
- 09/01/14 M LABOR DAY
- 09/03/14 W (Calc II) Due: Test 1. Optimization. Lagrangian Multipliers.
- 09/05/14 F (Calc II) Due: HW Calc I. Approximation using Taylor series.
- 09/08/14 M (Calc II) Limits. Errors. Total Differentials.
- 09/10/14 W (Calc III) Curvilinear motion.
- 09/12/14 F (Calc III) Due: HW Calc II. Multiple integrals.
- 09/15/14 M (Calc III) Multiple integrals. Numerical integration.
- 09/17/14 W (Lin I) Class cancelled due to non-fire alarm.
- 09/19/14 F (Lin I) Due: HW Calc III. Vectors. Lines. Planes.
[Zill: 7.1-5]
- 09/22/14 M (Lin I) Vector spaces. Linear [in]dependence. Dimension.
[Zill: 7.6]
- 09/24/14 W (Lin II) Matrices. Index notation. Matrix
manipulations. Special Matrices. [Z: 8.1].
- 09/26/14 F EXAM I Calculus
- 09/29/14 M (Lin II) Due: HW Lin I. Gaussian elimination. LU theorem.
[Z: 8.2].
- 10/01/14 W (Lin II) Partial pivoting. Operation counts. Band matrices.
[Z: 8.2]
- 10/03/14 F (Lin III) Reduction to echelon form. Null space of a matrix.
[Z: 8.2?]
- 10/06/14 M (Lin III) Due: HW Lin II. Solution Space
Reduction to row-canonical form.
Row space, column space, and rank of a matrix.
- 10/08/14 W (Lin III) Determinants. Co-factor (minor) expansion.
- 10/10/14 F (Lin IV) Determinants by Gaussian Elimination.
Inverse matrices using minors and GE.
- 10/13/14 M (Lin IV) Due: HW Lin III.
Eigenvectors and eigenvalues. Relation to nullspaces.
- 10/15/14 W (Lin IV) Defective matrices. Changes of coordinates.
- 10/17/14 F (Lin V) Diagonalization theorem. Matrix powers.
Symmetric matrices. Rotation of the coordinate system.
- 10/20/14 M (Lin V) Due: HW Lin IV. Analysis of quadratic forms.
- 10/22/14 W (Lin V) Need for orthogonalization. Quadratic forms in 3D.
- 10/24/14 F (ODE I) Intro. Direction fields.
Separable equations. Linear equations.
- 10/27/14 M (ODE I) Due: HW Lin V.
Homogeneous
equation.
Bernoulli equation. Higher order equations.
- 10/29/14 W (ODE I) Homogeneous constant coefficient equations.
- 10/31/14 F (ODE II) Inhomogeneous constant coefficient equations.
Method of undetermined constants. Variation of parameters.
- 11/03/14 M (ODE II) Due: HW ODE I Laplace transforms. Partial fractions.
- 11/05/14 W EXAM II Linear Algebra
- 11/07/14 F (ODE II) General partial fractions.
- 11/10/14 M (ODE III) Shifting theorems. Heaviside step
function. Dealing with singularities (jumps).
- 11/12/14 W (ODE III) Due: HW ODE II. Convolution theorem.
Delta function. Systems using Laplace transforms.
- 11/14/14 F (ODE III) Systems. Conversion to first order
systems. Non-defective matrices.
- 11/17/14 M (ODE IV) Clean up of complex eigenvalues. Defective matrices.
- 11/19/14 W (ODE IV) Due: HW ODE III. Defective matrices. Inhomogeneous
CC systems. Initial conditions.
- 11/21/14 F (ODE IV) Nonlinear systems. Autonomous systems.
Local linearization. Nature of the local solutions.
- 11/24/14 M (ODE V) Solution geometry and stability: real eigenvalues.
- 11/26/14 W THANKSGIVING
- 11/28/14 F THANKSGIVING
- 12/01/14 M (ODE V) Due: HW ODE IV.
Solution geometry and stability: complex eigenvalues.
Combination plot.
- 12/03/14 W (ODE V) Topology of solutions of nonlinear systems.
Pendulum. Van der Pol oscillator: limit cycles.
- 12/05/14 F (PDE) Due: HW ODE V. Partial differential equations.
(More details in the Revised notes on ODE.)
- 12/12/14 Friday 10-12 noon FINAL EXAM ODE (in the usual classroom)
- 12/16/14 Grades due FAMU/FSU 5:00/4:00 pm
- 12/17/14 Grades available online