Date | Tentative class plan: |
Mon, Aug 29 | No class: Hurricane Irene |
Wed, Aug 31 | Welcome! §1.2-1.3: Solutions and Classification. |
Mon, Sep 5 | No class: College Closed (Labor Day) |
Wed, Sep 7 | § 2.1: First order linear equations. |
Mon, Sep 12 | § 2.2: Separable equations and Homogeneous equations (Exercises 30–38) |
Wed, Sep 14 | § 2.3: Modeling with linear equations (Examples 1, 2, 3, skip escape velocity problem) |
Mon, Sep 19 | § 2.6: Exact equations (skip integrating factor) |
Wed, Sep 21 | § 3.1: Second order homogeneous LODE (real distinct roots) § 3.2: Wronskian and linear independence, Abel’s Theorem |
Mon, Sep 26 | First Midterm. |
Wed, Sep 28 | No classes |
Mon, Oct 3 | § 3.2: Wronskian and linear independence, Abel’s Theorem § 3.4: Reduction of order, repeat root case |
Wed, Oct 5 | § 3.3: Complex root case |
Mon, Oct 10 | No class: College Closed (Columbus Day) |
Wed, Oct 12 | § 3.5: Non-homogeneous equations; Undetermined coefficients Method |
Mon, Oct 17 | § 3.6: Variation of parameters |
Wed, Oct 19 | § 3.7: Free vibrations in mechanical systems and Electrical networks § 3.8: Forced vibrations |
Mon, Oct 24 | § 3.7: Free vibrations in mechanical systems and Electrical networks § 3.8: Forced vibrations |
Wed, Oct 26 | § 4.1: General homogeneous LODE § 4.2: Homogeneous LODE, higher order |
Mon, Oct 31 | Second Midterm. |
Wed, Nov 2 | § 4.3: Undetermined coefficients |
Mon, Nov 7 | § 5.1: Power series |
Wed, Nov 9 | § 5.2: Series Solution near Ordinary Point |
Mon, Nov 14 | § 5.4: Euler equations; Regular singular points |
Wed, Nov 16 | § 5.5: Series solutions near regular singular points |
Mon, Nov 21 | § 6.1-6.2: Laplace Transforms |
Wed, Nov 23 | § 6.1-6.2: Laplace Transforms |
Mon, Nov 28 | Third Midterm. |
Wed, Nov 30 | § 10.1: Two point boundary value problem (Eigenvalue problem) |
Mon, Dec 5 | § 10.2: Fourier Series |
Wed, Dec 7 | § 10.3-10.4: Fourier Theorem and Even and Odd Functions § 10.5: Heat Conduction Problem, separation of variables |
Mon, Dec 12 | § 10.5: Heat Conduction Problem, separation of variables § 10.6: Other Heat conduction problems (optional) |
Wed, Dec 14 | Review for final. |