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Lecture 17:
Fri 4 Oct |
QR Factorization (via Gram-Schmidt orthogonalization)
Reading: MAIS, Sections 6.5
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Lecture 16:
Wed 2 Oct |
Recovering stiffnesses in a spring network; Gram-Schmidt orthogonalization
Instron's Biaxial planar testing equipment that motivates the inverse spring network problem
Wikipedia on Gram
and Schmidt
Reading: MAIS, Sections 6.3 and 6.5
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Lecture 15:
Mon 30 Sep |
Least squares problems, continued
Reading: MAIS, Section 6.4; preview Section 6.3
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Lecture 14:
Fri 27 Sep |
Least squares problems
Reading: MAIS, Section 6.1
Extra notes: lecture14.pdf
Oliver Byrne's rendering of Euclid's proof of the Pythagorean Theorem
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Lecture 13:
Wed 25 Sep |
FTLA, intro to least squares problems
Reading: MAIS, Section 6.1 [recommended enrichment: Section 6.2]
Extra notes: lecture13.pdf
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Lecture 12:
Mon 23 Sep |
Justifying basis computation techniques; intro to FTLA
Reading: MAIS, Section 5.3
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Lecture 11:
Fri 20 Sep |
Further calculations of the column space, row space, and null space
Reading: MAIS, Sections 5.1 and 5.2
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Lecture 10:
Wed 18 Sep |
Proofs that the column space and null space are subspaces; subspace calculations
Reading: MAIS, Sections 5.1 and 5.2
MATLAB: plotline2.m, plotplane2.m,
plotline3.m, plotplane3.m
Extra notes: lecture10.pdf
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Lecture 9:
Mon 16 Sep |
Column space, null space, subspaces, linear independence, basis
Reading: MAIS, Section 4.3
Extra notes: lecture9.pdf
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Lecture 8:
Fri 13 Sep |
Oblique trusses; introduction to column and null spaces
Reading: MAIS, Sections 4.1 and 4.2
MATLAB: fiber.m: 3x3 tissue model
Extra notes: lecture8.pdf
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Lecture 7:
Wed 11 Sep |
Matrix equations for 2d mechanical structures: unstable mode
Reading: MAIS, Sections 3.3 and 3.4
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Lecture 6:
Mon 9 Sep |
Matrix equations for 2d mechanical structures
Reading: MAIS, Sections 3.3 and 3.4
Extra notes: lecture6.pdf
Notes from the TA session: On LU factorization vs backslash in Matlab
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Lecture 5:
Fri 6 Sep |
The inverse of a matrix
Reading: MAIS, Section 3.2
Extra notes: lecture5.pdf
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Lecture 4:
Wed 4 Sep |
Solving and factoring with Gaussian elimination
Reading: MAIS, Section 3.2
Liu Hui
Extra notes: lecture4.pdf
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Lecture 3:
Fri 30 Aug |
Circuits with batteries; one-dimensional mechanics
Reading: MAIS, Sections 2.3 and 3.1
MATLAB: fib2.m models the electrical potential in a neuron, with "batteries"
Extra notes: lecture3.pdf
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Lecture 2:
Wed 28 Aug |
Modeling circuits (and neurons) with linear algebra
Reading: MAIS, Sections 2.1 and 2.2
MATLAB: fib1.m models the electrical potential
in a neuron
Extra notes: lecture2.pdf
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Lecture 1:
Mon 26 Aug |
Modeling populations with matrix-vector products
Sign up for Piazza (question-and-answer forum for the class).
Reading: MAIS, Sections 1.1 and 1.2
MATLAB: population.m for modeling human population
Handout: Syllabus
Extra notes: lecture1.pdf
Getting Started with MATLAB from MathWorks
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