8 Class Schedule

Class times: MWF 12:30-1:20 pm in A235 CEB (A building).

The below schedule is subject to change.

08/24/15 M (Calc I) Syllabus. Graphs.
08/26/15 W (Calc I) Graphs.
08/28/15 F (Calc I) Graphs. Optimization
08/31/15 M (Calc II) Due: Test 1. Constrained optimization: Lagrangian Multipliers.
09/02/15 W (Calc II) Due: HW Calc I. Approximation using Taylor series.
09/04/15 F (Calc II) Limits. Errors.
09/07/15 M LABOR DAY
09/09/15 W (Calc III) Review of homework solution. Total differentials. Start of curvilinear motion.
09/11/15 F (Calc III) Due: HW Calc II. Curvilinear motion. Multiple integrals.
09/14/15 M 75 min (Calc III, Lin I) Multiple integrals. Numerical integration.
09/16/15 W 75 min (Lin I) Vectors. Lines. Planes. (from Calculus book). [Zill: 7.1-5]
09/18/15 F No lecture
09/21/15 M (Lin I) Due: HW Calc III. Vector spaces. Linear [in]dependence. Dimension. [Zill: 7.6]
09/23/15 W (Lin II) Matrices. Index notation. Matrix manipulations. Special Matrices. [Z: 8.1].
09/25/15 F EXAM I Calculus
09/28/15 M (Lin II) Due: HW Lin I. Gaussian elimination. LU theorem. [Z: 8.2].
09/30/15 W (Lin II) Partial pivoting. Operation counts. Band matrices. [Z: 8.2]
10/02/15 F (Lin III) Reduction to echelon form. Reduction to row-canonical form. Null space of a matrix. [Z: 8.2?]
10/05/15 M (Lin III) Due: HW Lin II. Solution Space Row space, column space, and rank of a matrix.
10/07/15 W (Lin III) Continued. Determinants. Co-factor (minor) expansion.
10/09/15 F (Lin IV) Determinants by Gaussian Elimination. Inverse matrices using minors and GE.
10/12/15 M (Lin IV) Due: HW Lin III. Eigenvectors and eigenvalues. Relation to nullspaces.
10/14/15 W (Lin IV) Defective matrices. Changes of coordinates. Diagonalization theorem. Matrix powers.
10/16/15 F (Lin V) Symmetric matrices. Rotation of the coordinate system.
10/19/15 M (Lin V) Due: HW Lin IV. Analysis of quadratic forms. Need for orthogonalization.
10/21/15 W (Lin V) Quadratic forms in 3D.
10/23/15 F (ODE I) Intro. Separable equations. Direction fields.
10/26/15 M (ODE I) Due: HW Lin V. Linear equations. Homogeneous equation. Bernoulli equation.
10/28/15 W (ODE I) Bernoulli equation. Higher order equations. Homogeneous constant coefficient equations.
10/30/15 F (ODE II) Homogeneous constant coefficient equations. Inhomogeneous constant coefficient equations. Method of undetermined coefficients.
11/02/15 M (ODE II) Due: HW ODE I. Variation of parameters. Laplace transforms.
11/04/15 W (ODE II) General partial fractions.
11/06/15 F EXAM II Linear Algebra
11/09/15 M (ODE III) General partial fraction examples.
11/11/15 W VETERANS DAY
11/13/15 F (ODE III) Due: HW ODE II. Shifting theorems. Heaviside step function. Dealing with singularities (jumps). Convolution theorem.
11/16/15 M (ODE III) (SKIP: Example convolution theorem.) Delta functions. (SKIP: Systems using Laplace transforms.) Systems. Conversion to first order systems. Non-defective matrices.
11/18/15 W (ODE IV) Clean up of complex eigenvalues. Defective matrices.
11/20/15 F (ODE IV) Due: HW ODE III. Defective matrices. Inhomogeneous CC systems. Initial conditions.
11/23/15 M (ODE IV) Nonlinear systems. Autonomous systems. Local linearization. Start of nature of the local solutions.
11/25/15 W THANKSGIVING
11/27/15 F THANKSGIVING
11/30/15 M (ODE V) Solution geometry and stability: real eigenvalues.
12/02/15 W (ODE V) Due: HW ODE IV. Solution geometry and stability: complex eigenvalues. SKIP: Combination plot. Topology of solutions of nonlinear systems. Pendulum. Van der Pol oscillator: limit cycles.
12/04/15 F (PDE) Due: HW ODE V. Partial differential equations. (More details in the Revised notes on ODE.)
12/08/15 Tuesday 5:30-7:30 pm FINAL EXAM ODE (in the usual classroom)
12/15/15 Grades due FAMU/FSU 5:00/4:00 pm
12/16/15 Grades available online