LEC # | TOPICS | KEY DATES |
---|---|---|

1 | Review of Linear Algebra | |

2 | Review of Linear Algebra (cont.) | |

3 | Review of Linear Algebra (cont.) | |

4 | Differences, Derivatives, and Boundary Conditions | |

5 | Inverses and Delta Functions | |

6 | Eigenvalues and Eigenvectors | Problem set 1 due |

7 | Positive Definite Matrices and Least Squares | |

8 | Numerical Linear Algebra: LU, QR, SVD | |

9 | Equilibrium and the Stiffness Matrix | Problem set 2 due |

10 | Oscillation by Newton’s Law I | |

11 | Oscillation by Newton’s Law II | |

12 | Graph Models and Kirchhoff’s Laws | Problem set 3 due |

13 | Damped Harmonic Oscillators and the Laplace Transform I | |

14 | Damped Harmonic Oscillators and the Laplace Transform II | |

[no lecture] | Midterm exam | |

15 | Review of Vector Calculus I | |

16 | Review of Vector Calculus II; Fourier Series | |

17 | Fourier Series (cont.) | Problem set 4 due |

18 | Polar Coordinates and Laplace’s Equation | |

19 | Laplace’s Equation and Separation of Variables | |

20 | Laplace’s Equation and Finite Difference | Problem set 5 due |

21 | The Finite Element Method I | |

22 | The Finite Element Method II | |

23 | The Discrete Fourier Transform and the FFT I | Problem set 6 due |

24 | The Discrete Fourier Transform and the FFT II | |

25 | Convolution and Signal Processing | |

26 | Fourier Integrals | Problem set 7 due |

27 | Course Review | Take-home final exam released |

28 | Guest Lectures | Take-home final exam due |

29 | Special Topic: Deep Learning/Double Descent |

## Calendar

## Course Info

##### Instructor

##### Departments

##### As Taught In

Summer
2020

##### Level

##### Topics

##### Learning Resource Types

*assignment_turned_in*Problem Sets with Solutions

*grading*Exams with Solutions

*notes*Lecture Notes

*Instructor Insights*