Monday 10:00 AM - 12:00 PM

or by appointment

Sunday 8:00-10:00 PM

Monday 8:00-10:00 PM

Wednesday 8:00-10:00 PM

Thursday 8:00-9:00 PM

Syllabus

Homework

Class Date |
Section(s) Covered |
Pages |
Topics |
Related Content |
---|---|---|---|---|

Oct. 29 | 1.1 | 5-10 | introduction | 3Blue1Brown S1 E1 |

Oct. 30 | 1.2-1.3 | 14-22 , 44-45 | mathematical statements, negation, quantifiers, examples | |

Nov. 2 | 1.3-1.4 | 23-26, 45-48 | if...then... | |

Nov. 3 | 1.5 | 31-37 | subsets, proving sets are equal, operations on sets | |

Nov. 5 | 1.6-1.8, 2.1-2.2 | 37-44,48-56 | functions, solving equations, intersection of lines, vectors | Khan Academy Vector Introduction |

Nov. 6 | 2.3 | 56-65 | span | 3Blue1Brown S1 E2 first 6 minutes only |

Nov. 9 | 2.3 | 65-68 | more on span, geometry in R^{2} |
Khan Academy Linear Combinations and Span |

Nov. 10 | 2.4 | 69-75 | intro to linear transformations | Khan Academy Visualizing Linear Transformations |

Nov. 12 | 2.4 | 76-82 | transformations on basis elements | 3Blue1Brown S1 E3 first 6.5 minutes only |

Nov. 13 | 2.5 | 82-92 | standard matrix, matrix-vector product, projections and rotations | |

Nov. 16 | 2.6-2.7 | 92-103 | matrix algebra, range | 3Blue1Brown S1 E4 and Khan Academy Intro to matrix multiplication |

Nov. 17 | Exam 1 | 5-74 | 1.1-2.4 | |

Nov. 19 | 2.7-3.1 | 104-122 | range and null space, inverses, invertible matrix, coordinate transformation | see videos on Piazza |

Nov. 20 | 3.3 | 132-138 | eigenvalues and eigenvectors | |

Nov. 23 | 3.2 | 122-127 | eigenspace, matrices with respect to other coordinates | 3Blue1Brown S1 E13 |

Nov. 24 | 3.2, 3.3 | 128-131, 139-140,144-146 | diagonal matrix | |

Asynch. |
4.2 |
169-176 |
solving linear systems |
worksheet and 3Blue1Brown S1 E7 first 7:50 and from 10:35 on |

Nov. 30 | 3.3, 3.4, 4.1 | 140-144, 150-156, 157-161 | diagonalization, determinants, and introduction to vector spaces | |

Dec. 1 | 4.1, 4.2 | 161-169,176 | properties of v-spaces, subspaces, echelon form | 3Blue1Brown S1 E15 and first 9 minutes |

Dec. 3 | 4.2, 4.3 | 177-187 | reduced echelon form, spanning sequences | Khan Academy Matrices for Solving Systems |

Dec. 4 | 4.4, 4.5 | 188-193 | linear independence | 3Blue1Brown S1 E2 6:00 and on |

Dec. 7 | 4.4, 4.5 | 194-205 | basis, forming bases | |

Dec. 8 | Exam 2 | 76-185 | 2.4-4.2 | |

Dec. 10 | 4.6, 5.1 | 205-217 | dimension, linear transformations | 3Blue1Brown S1 E5 and 3Blue1Brown S1 E8 and TheTrevTutor Dimension |

Dec. 11 | 5.1,5.2 | 218-232 | matrices, range, null space | |

Dec. 14 | 233-242 | Rank-Nullity Theorem, column space | Rank-Nullity Intuition and 3Blue1Brown S1 E7 | |

Dec. 15 | 5.2-5.3 | 243-253 | inverses, determinants | 3Blue1Brown S1 E6 and Khan Academy Finding Inverses and Determinants |

Dec. 17 | 5.4 | 253-261 | inner product, orthonormal basis, decompositions | |

Dec 21 | Final Exam |

HW | Due Date | Problems |
---|---|---|

# PS 1 | Oct. 30 | [pdf] |

# PS 2 | Nov. 2 | [pdf] |

# WA 1 | Nov. 3 | [pdf] |

# PS 3 | Nov. 5 | [pdf] |

# PS 4 | Nov. 6 | [pdf] |

# PS 5 | Nov. 9 | [pdf] |

# WA 2 | Nov. 10 | [pdf] |

# PS 6 | Nov. 12 | [pdf] |

# PS 7 | Nov. 13 | [pdf] |

Nov. 16 | no homework | |

Exam 1 | Nov. 17 | no homework |

# PS 8 | Nov. 19 | [pdf] |

# PS 9 | Nov. 20 | [pdf] |

# PS 10 | Nov. 23 | [pdf] |

# PS 11 | Nov. 24 | [pdf] |

# PS 12 | Nov. 30 | [pdf] |

# WA 3 | Dec. 1 | [pdf] |

# PS 13 | Dec. 3 | [pdf] |

# PS 14 | Dec. 4 | [pdf] |

Dec. 7 | no homework | |

Exam 2 | Dec. 8 | no homework |

# WA 4 | Dec. 10 | [pdf] |

# PS 15 | Dec. 11 | [pdf] |

# PS 16 | Dec. 14 | [pdf] |

# WA 5 | Dec. 15 | [pdf] |

# PS 17 | Dec. 17 | [pdf] |