Plant Organs:
Roots
Chapter 6
KEY TERMS
TAPROOT SYSTEM
A root system consisting of one
prominent main root with smaller
lateral roots branching from it
FIBROUS ROOT SYSTEM
A root system consisting of several
adventitious roots of approximately
equal size
ORDINARY DIFFERENTIAL EQUATIONS
GABRIEL NAGY
Mathematics Department,
Michigan State University,
East Lansing, MI, 48824.
OCTOBER 14, 2014
Summary. This is an introduction to ordinary differential equations. We describe the
main ideas to solve certain diff
1)
2)
3)
4)
5)
6)
LEARNING OBJECTIVES CH 5
Discuss the plant body, including the root
system and shoot system
Describe the ground tissue system
(parenchyma tissue, collenchyma tissue, and
sclerenchyma tissue) of plants
Outline the structure and function o
Metabolism in
Cells continued
Chapter 4
The
Calvin
Cycle
6 molecules of
CO2
6 molecules of
ribulose bisphosphate
(RuBP)
P
P
1
CO2 uptake
phase
6 ADP
6 ATP
6 molecules of ribulose
phosphate (RP)
3
RuBP
P regeneration
phase
10 molecules
of G3P
Glucose and o
March 31, 2013
1
17-1
Systems of Differential Equations
Let U be an open subset of Rn , I be an open interval in R and : IRn Rn
be a function from I Rn to Rn .
The equation
x = f (t, x)
(1)
is called a first order ordinary differential equation in Rn . We
November 1, 2013
15-1
15. Step Functions and initial value problems
with discontinuous forcing
In applications it is frequently useful to consider differential equations whose
forcing terms are piecewise differentiable.
Here we begin to explore techniques
October 18, 2013
12b-1
12b. Series Solutions of Second Order Linear
Differential Equations near an ordinary point
We now apply the notions of power series to second order linear differential
equations.
Consider such an equation (with independent variable
1)
2)
3)
4)
5)
6)
LEARNING OBJECTIVES CH 5
Discuss the plant body, including the root
system and shoot system
Describe the ground tissue system
(parenchyma tissue, collenchyma tissue, and
sclerenchyma tissue) of plants
Outline the structure and function o
CELL THEORY
Theory that the cell is the
basic unit of life, of which all
living things are composed,
and that all cells are derived
from preexisting cells
Methods to Study Cells
Quercus suber
Light and Electron Microscopes
MSU Microscopy
http:/www.cam.ms
April 16, 2013
1
Fund-Sol-1
The first and second fundamental solutions
and the complex solution
Consider the system
x =
a b
c d
!
x
with characteristic polynomial z(r) = r2 (a + d)r + ad bc.
For convenience in finding the general solution to this system,
E.J. Rothwell
ECE 305 Electromagnetic Fields and Waves I
Fall 2014
Potential Difference (Voltage)
The potential difference 2,1 between
points 1 located at 1 and 2 located at 2
is the work per unit charge required by an
external force to move a point charg
CSE 220 C Programming
Functions
Functions
2
Building blocks of C programs
Divide program into smaller pieces
Easier to understand
Easier to maintain
Reuse code and avoid repetition
CSE 220 - C Programming | Dr. Fatme El-Moukaddem
Defining a function
doubl
CSE 220 C Programming
Pointers
Pointer Variables
2001
2002
2003
01011101 01000101 1101000
x
2100
2002
p
In memory: each byte has an address
Pointers: used to store the address
Store the address of x in the pointer variable
p: p points to x
2
CSE 220 -
CSE 220 C Programming
Writing Large Programs
Writing Large Programs
Typical for programs to consist of multiple files
Source files
Header files
Building (compiling and linking) a program
2
CSE 220 - C Programming | Dr. Fatme El-Moukaddem
Source Files
CSE 220 C Programming
File Input / Output
File I/O
How to write programs that read from or write
to the console (standard input, standard
output?
How to write programs that read from or write
to file?
2
CSE 220 - C Programming | Dr. Fatme El-Moukaddem
F
CSE 220 C Programming
Advanced use of pointers
Outline
Arrays and Pointers
Memory allocation
Memory deallocation
2
CSE 220 - C Programming | Dr. Fatme El-Moukaddem
Using pointers to arrays
Can traverse array by incrementing a pointer to
it
int a[N], *
Electromagnetic Induction!
March 12, 2014
Chapter 29
1
Notes
! Exam 4 next Tuesday
Covers Chapters 27, 28, 29 in the book
Magnetism, Magnetic Fields, Electromagnetic Induction
Material from the week before spring break and this week
Homework sets 7 and 8
Electromagnetic Waves
March 26, 2014
Chapter 31
1
Wave Solutions to Maxwells
Equations
! The electric field is always perpendicular to the direction the
electromagnetic wave is traveling and is always
perpendicular to the magnetic field
! The electric and
Oscillations and
Electromagnetic Waves
March 30, 2014
Chapter 31
1
Three Polarizers
! Consider the case of unpolarized light with intensity I0
incident on three polarizers
! The first polarizer has a polarizing direction that is vertical,
1 = 0
! The seco
Magnetism
February 27, 2014
Physics for Scientists & Engineers 2, Chapter 27
1
Force on a Current Carrying Wire
! The magnitude of the magnetic
force on a wire of length L
carrying a current i is
FB = iL B
F = iLBsin
! is the angle between the current a