8 Class Schedule

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

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

08/27/18 M (Calc I) Syllabus. Graphs.
08/29/18 W (Calc I) Graphs.
08/31/18 F (Calc I) Due: Test 1. Example graphs.
09/03/18 M LABOR DAY
09/05/18 W (Calc II) Optimization. Constrained optimization.
09/07/18 F (Calc II) Due: HW Calc I. Lagrangian Multipliers. Approximation using Taylor series.
09/10/18 M (Calc II) Taylor series. Limits.
09/12/18 W (Calc III) Total differentials. Errors. Curvilinear motion.
09/14/18 F (Calc III) Due: HW Calc II. Multiple integrals.
09/17/18 M (Calc III) Multiple integrals. Numerical integration.
09/19/18 W (Lin I) Vectors. Lines. Planes. (from Calculus book). [Zill: 7.1-5]
09/21/18 F (Lin I) Due: HW Calc III. Vector spaces. Linear [in]dependence. Dimension. [Zill: 7.6]
09/24/18 M (Lin I) Matrices. Index notation. Matrix manipulations. [Zill: 8.1].
09/26/18 W (Lin II) Calculus review. Special Matrices. Start of Gaussian elimination. [Zill: 8.2].
09/28/18 F EXAM I Calculus
10/01/18 M (Lin II) Due: HW Lin I. Gaussian elimination. LU theorem. Operation counts. [Zill: 8.2?]
10/03/18 W (Lin II) Band matrices. Partial pivoting. Echelon form.
10/05/18 F (Lin III) General algorithm. Reduction to row-canonical form.
10/08/18 M (Lin III) Due: HW Lin II. Null space of a matrix. Solution space. Row space, column space, and rank of a matrix. Start of finding a simple row space basis.
10/10/18 W Michael.
10/12/18 F Michael.
10/15/18 M (Lin III) Finding simplified row and column space bases. Determinants. Co-factor (minor) expansion.
10/17/18 W (Lin IV) Determinants by Gaussian Elimination. Inverse matrices using minors and GE.
10/19/18 F (Lin IV) Due: HW Lin III. Eigenvectors and eigenvalues. Relation to nullspaces. Defective matrices.
10/22/18 M (Lin IV) Changes of coordinates. Diagonalization theorem.
10/24/18 W (Lin V) Matrix powers. Symmetric matrices. Rotation of the coordinate system.
10/26/18 F (Lin V) Due: HW Lin IV. Analysis of quadratic forms. Need for orthogonalization: Gram-Schmidt.
10/29/18 M (ODE I) Intro. Separable equations. [Direction fields.] Linear equations.
10/31/18 W (ODE I) Due: HW Lin V. [Direction fields.] Homogeneous equation. Bernoulli equation.
11/02/18 F (ODE I) Higher order equations. Homogeneous constant coefficient equations. Clean up of complex solutions.
11/05/18 M (ODE II) Inhomogeneous constant coefficient equations. Methods of undetermined coefficients and variation of parameters.
11/07/18 W (ODE II) Due: HW ODE I. Laplace transform solution. Partial fractions.
11/09/18 F EXAM II Linear Algebra
11/12/18 M VETERANS DAY
11/14/18 W (ODE II) General partial fractions. Shifting theorems. Heaviside step function.
11/16/18 F (ODE III) Dealing with singularities (jumps). Convolution theorem.
11/19/18 M (ODE III) Due: HW ODE II. Delta functions. Systems. Conversion to first order systems. Non-defective matrices.
11/21/18 W THANKSGIVING
11/23/18 F THANKSGIVING
11/26/18 M (ODE III) Clean up of complex eigenvalues. Defective matrices.
11/28/18 W (ODE IV) Defective matrices. Inhomogeneous CC systems.
11/30/18 F (ODE IV) Due: HW ODE III. Initial conditions. Nonlinear systems. Autonomous systems.
12/03/18 M (ODE IV) Local linearization. Nature of the local solutions. Solution geometry and stability: real eigenvalues.
12/05/18 W (ODE V) Due: HW ODE IV. Solution geometry and stability: complex eigenvalues. Topology of solutions of nonlinear systems. Pendulum. Van der Pol oscillator: limit cycles.
12/07/18 F Review. Due: HW ODE V.
12/14/18 Friday 10-12 noon: FINAL EXAM ODE (in the usual classroom)
12/18/18 4:00 pm: Grades due online (Available next day)