Text: A First Course in Linear Algebra by Robert A. Beezer
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| Date |
Topic |
Assigned Work and Links |
Due Date |
| 1/26-1/30 |
|||
| M | Systems of linear equations (SSLE) | Read Section WILA p2-6 | |
| T |
Lab #1 in Mudd014 |
||
| W |
Reduced row-echelon form (RREF) | SSLE.C34,C50,M40,M70 | Mon 2/2 |
| F |
Row operations | Read proof techniques (PT) p769-779 | |
| 2/2-2/6 |
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| M |
Types of solution sets (TSS) | RREF.C10,C12,C14,T10,T11 | Mon 2/9 |
| T |
Lab #2 Solving linear systems | ||
| W |
Free variables | TSS.C21,C22,C24,C25,M51,M52,M53,M57 | Wed 2/11 |
| F |
Homogeneous systems (HSE) | HSE.C21,C22,C25,C31,M50,M51 | Wed 2/11 |
| 2/9-2/13 |
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| M |
Nonsingular matrices (NM) | NM.M51,M52,T10,T30 | Mon 2/16 |
| T |
Lab #3 Vandermonde matrices | ||
| W |
Vector operations (VO) Linear combinations (LC) |
VO.C15,T5,T18 LC.M10,M11 |
Mon 2/16 |
| F |
Spanning sets (SS) | SS.C23,C41,C42,C60,T20 | Wed 2/18 |
| 2/16-2/20 |
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| M |
Linear independence (LI) |
LI.C20,C32,T10,T12,T20 LDS.T40 |
Fri 2/20 |
| T |
Lab #4 Concrete mixes | ||
| W |
Orthogonality (O) | Handout: Gram-Schmidt | Wed 2/25 |
| F |
Review | ||
| 2/23-2/27 |
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| M |
Exam 1 | ||
| T |
Lab #5 Gram-Schmidt | ||
| W |
Matrix operations (MO) Matrix multiplication (MM) |
MO.C14,M21,M24,M25 MM.C30,C32,T40,T41 |
Mon 3/2 |
| F |
Matrix inverses (MISLE, MINM) | MISLE.C16,C23,C42,T10 MINM.T10,T11 |
Wed 3/4 |
| 3/2-3/6 |
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| M | Column and row spaces (CRS) | CRS.C20a,C31,T40,T41 | Fri 3/6 |
| T |
Lab #6 Pipes Pipes diagram |
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| W |
Four subsets (FS) | FS.C61,M50 | Mon 3/9 |
| F |
Vector spaces (VS) Subspaces (S) |
VS.M12,M15,M20 S.C16,C20,C21,M20 |
Fri 3/13 |
| 3/9-3/13 |
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| M |
Linear independence and spanning sets (LISS) Bases (B) |
LISS.C25,C26,C40,C41 B.C11,C12,C13,C14 |
Fri 3/13 |
| T |
Lab #7 Portfolio analysis | ||
| W |
Dimension (D) |
D.C21,C22,C23,C35,C36,M20 PD.T15,T20 |
Mon 3/23 |
| F |
Determinants (DM, PDM) |
DM.C23,M15 PDM.M30,T20 |
Wed 3/25 |
| 3/14-3/22 |
Spring Recess | ||
| 3/23-3/27 | |||
| M |
Determinants applications Cramer's rule |
Determinants HW | Fri 3/27 |
| T |
Lab #8 Geometry and determinants | ||
| W |
Trace | Rank Theorem and Trace HW | Fri 4/3 |
| F |
Review | Solutions to Rank Theorem Homework | |
| 3/30-4/3 |
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| M |
Exam 2 | ||
| T |
No class | ||
| W |
Eigenvalues (EE) | EE.C19,C22,C23,C24,T10 (do first 3 problems by hand) | Wed 4/8 |
| F |
Properties of eigenvalues (PEE) | PEE.T10,T22 (hint: think about <Uv,Uv> where v is an eigenvector of U) | Wed 4/8 |
| 4/6-4/10 |
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| M |
Similarity and diagonalization (SD) | SD.C21,C22,T15,T16 | Fri 4/10 |
| T |
Lab #9 Method of powers |
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| W |
Finish SD | ||
| F |
Projection into a subspace |
||
| 4/13-4/17 |
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| M |
Least squares |
Worksheet | Fri 4/17 |
| T |
Lab #10 Least squares | ||
| W |
Linear transformations (LT) Injective linear transformations (ILT) |
LT.C16,C26,C30,C41,C43 |
Mon 4/20 |
| F |
Surjective linear transformations (SLT) Invertible linear transformations (IVLT) |
SLT.C23,C25,C28,C29,T15 IVLT.C20,C21,C25(abc for 2,3,5), C50,M30,T15,T16 |
Fri 4/24 |
| 4/20-4/24 |
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| M |
Representations (VR, MR) | VR.C10 MR.C20,C21,C30,C40,C50,C51 |
Wed 4/29 |
| T |
Lab #11 Discrete dynamical systems | ||
| W |
Change of basis (CB) | CB.C30,C40,T15 | Fri 5/1 |
| F |
Review | ||
| 4/27-5/1 |
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| M |
Exam 3 | ||
| T |
Lab #12 Hill cipher | Lester Hill's 1929 article on his cipher | |
| W |
Change of basis | ||
| F |
Jordan canonical form | Worksheet | Wed 5/6 |
| 5/4-5/8 |
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| M |
Intro to Google | Google handout |
Google exercises due Fri 5/8 |
| T |
Lab #13 Google |
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| W | Google and Markov chain theory | ||
| F | Review for the final exam | 2008 2007 2006 final exams (note that W-perp is the set of all vectors that are orthogonal to W) | |
| Final exam |
Wednesday, May 13 |
Mudd 206 2-5pm |