Linear Kinematics & Projectile Motion
Position/Displacement
Vector Representation
Change in Displacement
Vector Representation
Computation
Create displacement versus time graphs
Change in displacement versus distance
If given a graph of velocity versus ti
Angular Momentum of the Human Body
14
HG = Hi
i=1
where, HG is the angular momentum of the human body about an axis passing through
the c.g. (G) of the entire body
Hi is the angular momentum of each segment of the about an axis passing through
the c.g. (G
Peer instruction in linear algebra
Robert Talbert, Grand Valley State University
MAA Session on Innovative and Eective Ways to Teach Linear Algebra, II
17 January 2014
Overview
What are some learning goals for students in linear
algebra that can be proble
Where Am I?
A Change of Basis Project
Christina M. Selby
Rose-Hulman Institute of Technology
selby@rose-hulman.edu
Joint Mathematics Meetings
Baltimore, MD
January 17, 2014
Outline
Introduction
Change of Basis
Project Background
MESSENGER
The Project
The Fundamental Theorem of
Linear Algebra
Gilbert Strang
MIT
Big Picture: Column space and nullspace of A and AT
1
dim r
row
space
xr
dim r
column
space
Axr = b
b
x = xr + xn
Ax = b
0
0
Rn
xn
nullspace
of A
Rm
Axn = 0
nullspace
of AT
dim m r
dim n r
Figur
Preparing Students for Linear Algebra Concepts with
Pre-class Work
Feryal Alayont
alayontf@gvsu.edu
Grand Valley State University
January 17, 2014
F. Alayont (GVSU)
Pre-class activities
January 17, 2014
1 / 14
Overview
F. Alayont (GVSU)
Pre-class activiti
Tridiagonal Matrices
1 2
3 4
1 2
3 4
1 2
3 4
7 10
15 22
7 10
15 22
=
=
37
54
81 112
2
10
=
3
15
2
54
=
3
81
It happened twice, that looks like a theorem
a b
All functions of A =
have the
c d
b
same off-diagonal ratio
c
First noticed and proved by inductio
Putting Together the Puzzle: Understanding
Linear Independence, Spanning, and Bases
via Group Exploration
MAA Session on Innovative and Effective Ways to
Teach Linear Algebra
Joint Mathematics Meetings, Baltimore MD
January 17, 2014
Teresa D. Magnus, Rivi