8 Class Schedule

Class times: MWF 12:30-1:24 pm in A235 CEB (A building).

The below schedule is subject to change. Coverage shown is that of last year, not necessarily this year.

08/29/16 M (Calc I) Syllabus. Graphs.
08/31/16 W (Calc I) Graphs.
09/02/16 F (Calc I) HERMINE
09/05/16 M LABOR DAY
09/07/16 W (Calc II) Due: Test 1. Graphs.
09/09/16 F (Calc II) Due: HW Calc I. Constrained optimization. (SKIP: Lagrangian Multipliers.) Approximation using Taylor series.
09/12/16 M (Calc II) Limits. Errors.
09/14/16 W (Calc III) Total differentials. Curvilinear motion.
09/16/16 F (Calc III) Due: HW Calc II. Multiple integrals.
09/19/16 M (Calc III, Lin I) Multiple integrals. SKIP: Numerical integration. Vectors. Lines.
09/21/16 W (Lin I) Planes. (From Calculus book.) [Zill: 7.1-5]
09/23/16 F (Lin I) Due: HW Calc III. Vector spaces. Linear [in]dependence. Dimension. Matrices. Index notation. [Zill: 7.6]
09/26/16 M (Lin II) Matrix manipulations. Special Matrices. [Zill: 8.1].
09/28/16 W EXAM I Calculus
09/30/16 F (Lin II) Due: HW Lin I. Gaussian elimination. LU theorem. Operation counts. Band matrices. [Zill: 8.2].
10/03/16 M (Lin II) Partial pivoting. Reduction to echelon form. [Zill: 8.2]
10/05/16 W (Lin III) Reduction to row-canonical form. Null space of a matrix. [Zill: 8.2?]
10/07/16 F (Lin III) Due: HW Lin II. Solution Space. Row space, column space, and rank of a matrix.
10/10/16 M (Lin III) Determinants. Co-factor (minor) expansion. Determinants by Gaussian Elimination.
10/12/16 W (Lin IV) Inverse matrices using minors and GE. Eigenvectors and eigenvalues. Relation to nullspaces.
10/14/16 F (Lin IV) Due: HW Lin III. Defective matrices. Changes of coordinates.
10/17/16 M (Lin IV) Changes of coordinates. Diagonalization theorem.
10/19/16 W (Lin V) Matrix powers. Symmetric matrices. Rotation of the coordinate system.
10/21/16 F (Lin V) Due: HW Lin IV. Analysis of quadratic forms. Need for orthogonalization.
10/24/16 M (Lin V) Quadratic forms in 3D.
10/26/16 W (ODE I) Intro. Separable equations. Direction fields. Linear equations.
10/28/16 F (ODE I) Due: HW Lin V. Homogeneous equation. Bernoulli equation.
10/31/16 M (ODE I) Higher order equations. Homogeneous constant coefficient equations.
11/02/16 W (ODE II) Inhomogeneous constant coefficient equations. Method of undetermined coefficients. Variation of parameters.
11/04/16 F EXAM II Linear Algebra
11/07/16 M (ODE II) Due: HW ODE I. Laplace transforms.
11/09/16 W (ODE II) General partial fraction examples.
11/11/16 F VETERANS DAY
11/14/16 M (ODE III) Shifting theorems. Heaviside step function. Singularities (jumps).
11/16/16 W (ODE III) Due: HW ODE II. Convolution theorem. Delta functions. Systems using Laplace transforms.
11/18/16 F (ODE III) Systems. Conversion to first order systems. Non-defective matrices. Clean up of complex eigenvalues.
11/21/16 M (ODE IV) Defective matrices.
11/23/16 W THANKSGIVING
11/25/16 F THANKSGIVING
11/28/16 M (ODE IV) Due: HW ODE III. Defective matrices. SKIP: Matrix polynomial. Inhomogeneous CC systems. Initial conditions.
11/30/16 W (ODE IV) Nonlinear systems. Autonomous systems. Local linearization. Start of nature of the local solutions.
12/02/16 F (ODE V) Solution geometry and stability: real eigenvalues, complex eigenvalues.
12/05/16 M (ODE V) Due: HW ODE IV. Solution geometry and stability: SKIP: Combination plot. Topology of solutions of nonlinear systems. Pendulum. Van der Pol oscillator: limit cycles.
12/07/16 W (ODE V) Review
12/09/16 F (PDE) Due: HW ODE V. FINAL EXAM ODE. SKIP: Partial differential equations. (More details in the Revised notes on ODE.)