Week | Dates | Topics | Sections Covered | Homework | Due |
---|---|---|---|---|---|

1 | Aug 21—Aug 25 | Complex numbers and their polar form. Exponentials, trig functions, logarithm. | 13.1, 13.2, 13.5 |
Wiley+ 1 |
Aug 31 |

2 | Aug 28—Sep 1 | Exponentials, trig functions, logarithm. Matrices, vectors. | 13.6, 13.7 | Sep 6 | |

3 | Sep 4 | Labor Day - no class. | |||

3 | Sep 6—Sep 8 | Exponentials, trig functions, logarithm. Matrices, vectors. | 13.7, 7.1 |
Wiley+ 2 |
Sep 8 |

4 | Sep 11 | Review for Midterm 1. | |||

4 | Sep 13 | Midterm 1. | |||

4 | Sep 15 | Matrices, vectors. | 7.1 |
Wiley+ 3 |
Sep 22 |

5 | Sep 18—Sep 22 | Matrix multiplication. Gaussian elimination. | 7.2, 7.3 |
Wiley+ 4 |
Oct 6 |

6 | Sep 25—Sep 30 | Linear independence and solution spaces. | 7.4, 7.5 | ||

7 | Oct 2—Oct 6 | Determinant and inverse of a matrix. | 7.7, 7.8 |
Wiley+ 5 |
Oct 11 |

8 | Oct 9—Oct 13 | Eigenvalues. | 8.1 |
Wiley+ 6 |
Oct 27 |

9 | Oct 16 | Review for Midterm 2. | |||

9 | Oct 18 | Midterm 2. | |||

9 | Oct 20 | Linear ODE. Solution space for homogenous equation. Linear independence of functions. Fundamental system of solutions. | 3.1, 3.2 | ||

10 | Oct 23—Oct 27 | Linear ODE. Wronskian test. Construction of solutions for homogenous systems. Characteristic equation. Solution when all roots are simple. | 3.2 | ||

11 | Oct 31—Nov 3 | Solution when there are multiple roots. Solution when there are complex roots. Non-homogenous equations. | 3.3 | ||

12 | Nov 6 | Non-homogenous equations. Variation of parameters. | 3.3 |
Wiley+ 7 |
Nov 22 |

12 | Nov 8 | Veteran's day - no class. | |||

12 | Nov 10 | Systems of linear ODE. | 4.2, 4.3 | ||

13 | Nov 13—Nov 17 | Fourier series and wave equation. Heat equation. Fourier transform. Heat equation on the line. | 12.3, 11.1, 11.2, 11.5 | ||

14 | Nov 20—Nov 24 | Fourier series and wave equation. Heat equation. Fourier transform. Heat equation on the line. | 12.6, 11.9, 12.7 | ||

15 | Nov 27 | Review for Midterm 3. | |||

15 | Nov 30 | Midterm 3. | |||

15 | Dec 1 | Optional topics. Review before the Final Exam. | |||

16 | Dec 4—Dec 6 | Optional topics. Review before Final Exam. | |||

Finals Week | Dec 12 (Tuesday) | Final Exam, 10:30 pm - 12:30 pm (regular room). |