OVERVIEW: CELLULAR MESSAGING
CELL
TO
CELL COMMUNICATION IS ESSENTIAL FOR BOTH MULTICELLULAR
AND UNICELLULAR ORGANISMS
BIOLOGISTS HAVE DISCOVERED SOME UNIVERSAL MECHANISMS OF
CELLULAR REGULATION
CELLS MOST OFTEN COMMUNICA
THE ENERGY OF LIFE
LIFE IS A STATE OF LOW PROBABILITY BECAUSE SO MUCH
ENERGY IS NEEDED TO CREATE AND SUSTAIN IT


ERWIN SCHRDINGER (1944; WHAT IS LIFE?)
THE VITAL FORCE THAT MAINTAINS LIFE IS ENERGY
TH
ICM MATH1300: Solutions for Laboratory #13 Exercises
(Section 5.5)
1.
Determine whether b is in the column space of A, and if so, express b as a linear combination of the
column vectors A.
(a)
Solution:
(b)
Solution:
(c)
Solution:
Page 1 of 7
ICM MATH1300
ICM MATH1300: Solutions for Laboratory #12 Exercises
(Section 5.3 & 5.4)
1.
Determine whether the vectors v1 = (1, 2, 3), v2 = (5, 6, 1), v3 = (3, 2, 1) form a linearly dependent set or
a linearly independent set.
Answer: The three vectors form a linear
ICM MATH1300: Solutions for Laboratory #11 Exercises
(Section 5.1 & 5.2)
1.
Use Theorem 5.2.1 to determine which of the following are subspaces of 3 .
(a)
All vectors of the form (a, 0, 0).
Answer: Yes, it is a subspace of 3 .
Solution:
(b)
All vectors of
ICM MATH1300: Solutions for Laboratory #10 Exercises
(Section 4.1)
1.
Let u = (1, 3, 0, 2, 1) and v = (3, 1, 1, 6, 0) be two vectors in 5 .
(a)
Find the length of u.
Answer :
(b)
u = 12 + 32 + 02 + ( 2) 2 + 12 = 15
Find the Euclidean inner product of u
ICM MATH1300: Solutions for Laboratory #9 Exercises
(Section 3.5)
1.
(a)
(b)
2.
Find an equation for the plane through ( 2, 1, 5) that is perpendicular to the
planes and
Find the distance between the point ( 2, 1, 5) and the plane
The plane 1 is defined
ICM MATH1300: Solutions for Laboratory #8 Exercises
(Sections 3.4)
1. Let u = (1, 0, 1) and v = (1, 2, 2). Find
v
(a)
u
(b)
uv
2. Let u = (1, 3, 2) and v = (2, 0, 1).
(a)
Find projv u.
Solution:
u v = 1 (2) + (3) 0 + 2 (1) = 4
2
v = ( 2)2 + (0)2 +
ICM MATH1300: Solutions for Laboratory #7 Exercises
(Sections 3.3)
1. Let u = (1, 0, 1) and v = (1, 2, 2). Find
v
(a)
u
(b)
projvu
2. Let u = (3, 2, 1) and v = (2, 1, 3).
(a)
Find projv u.
Solution:
projv u =
(b)
uv
v
2
11
11 11 33
(2, 1, 3) = ( ,
, )
Biology, 7e (Campbell)
Chapter 6: A Tour of the Cell
Chapter Questions
1) What limits the resolving power of a light microscope?
A) the type of lens used to magnify the object under study
B) the shortest wavelength of light used to illuminate the specimen
Biology, 7e (Campbell)
Chapter 7: Membrane Structure and Function
Chapter Questions
For the following questions, match the labeled component of the cell membrane (Figure 7.1) with its description.
Figure 7.1
1) peripheral protein
Answer: D
Topic: Concept
BIOLOGY 1020
Chemistry of Life!
R. Lastra (Ph.D), Instructor
!
Department of Biological Sciences
!
University of Manitoba
1!
THE CHEMICAL BASIS OF LIFE
!
Living things are composed of chemical matter
(anything that occupies space). !
All matter (e.g., ro
BIOL 1020 ICM!
BIOLOGY 1 PRINCIPLES AND THEMES!
University of Manitoba!
International College of Manitoba Fall 2012!
INSTRUCTOR  COURSE & LABORATORY
COORDINATOR!
ROD LASTRA, Ph.D.!
Dept. of Biological Sciences!
Buller Building Room 434!
Ofce Telephone: 4
Biology, 7e (Campbell)
Chapter 15: The Chromosomal Basis of Inheritance
Chapter Questions
1) Chromosomes and genes share all of the following characteristics except that A) they are both present in pairs in all diploid cells. B) they both undergo segregat
Biology, 7e (Campbell)
Chapter 14: Mendel and the Gene Idea
Chapter Questions
1) Pea plants were particularly well suited for use in Mendel's breeding experiments for all of the
following reasons except that
A) peas show easily observed variations in a nu
Biology, 7e (Campbell)
Chapter 13: Meiosis and Sexual Life Cycles
Chapter Questions
1) What is a genome? A) the complete complement of an organism's genes B) a specific sequence of polypeptides within each cell C) a specialized polymer of four different k
Biology, 7e (Campbell)
Chapter 12: The Cell Cycle
Chapter Questions
1) The centromere is a region in which A) chromatids are attached to one another. B) metaphase chromosomes become aligned. C) chromosomes are grouped during telophase. D) the nucleus is l
Biology, 7e (Campbell)
Chapter 9: Cellular Respiration: Harvesting Chemical Energy
Chapter Questions
1) What is the term for metabolic pathways that release stored energy by breaking down complex molecules? A) anabolic pathways B) catabolic pathways C) fe
ICM MATH1300: Solutions for Laboratory #6 Exercises
(Sections 3.1 & 3.2)
Solution:
Solution:
Solution:
Solution:
Page 1 of 2
ICM MATH1300: Solutions for Laboratory #6 Exercises
(Sections 3.1 & 3.2)
3. Let v = (2, 1, 3). Find a unit vector w that is in th
ICM MATH1300: Solutions for Laboratory #5 Exercises
(Sections 2.2 & 2.3)
a+2
a
b
c
1. Given that det(A) = d
e
f = 2,
1
2
3
b4
find 3a + 2d
c6
3b + 2e
5
3c + 2 f .
10
15
Answer: 20
Solution:
According to the properties of determinants:
a+2
b4
3a + 2d
c
ICM MATH 1300 Vector Geometry & Linear Algebra
KEY_QUIZ 1B
Summer 2012
DATE: May 17 & May 18, 2012
[4 points]
1. Consider a system of linear equations with variables x, y, z, and w in that order. It has an augmented matrix
with reduce row echelon form (RR
ICM MATH 1300 Vector Geometry & Linear Algebra
KEY_QUIZ 1A
Summer 2012
DATE: May 17 & May 18, 2012
[4 points]
1. Consider a system of linear equations with variables x, y, z, and w in that order. It has an augmented matrix
with row echelon form (REF) as f
INTERNATIONAL COLLEGE OF MANITOBA
MATH 1300 Vector Geometry & Linear Algebra
SOLUTION DOCUMENT FOR SECOND
MIDTERM EXAM OF SUMMER 2012
INTERNATIONAL COLLEGE OF MANITOBA
MATH 1300 Vector Geometry & Linear Algebra
1.
Determine whether each of the following s
INTERNATIONAL COLLEGE OF MANITOBA
MATH 1300 Vector Geometry & Linear Algebra
SOLUTIONS:
FIRST MIDTERM EXAM
ICM MATH1300
SUMMER 2012
INTERNATIONAL COLLEGE OF MANITOBA
DATE: June 8, 2012
TIME: 1 hour
MATH 1300 Vector Geometry & Linear Algebra
FIRST MIDTERM
ICM MATH1300: Laboratory #13 Exercises
(Section 5.5)
1.
Determine whether b is in the column space of A, and if so, express b as a linear combination of the
column vectors A.
(a)
(b)
(c)
2.
Find the vector form of the general solution of the given linear
BIOL 1020 ICM (W2012)
STUDY GUIDE
81 LECTURE SAMPLE FINAL EXAM QUESTIONS
QUESTIONS ARE RANKED
ANSWER KEY IS ATTACHED ON THE LAST PAGE
1) The slight negative charge at one end of one water molecule is attracted to the slight positive
charge of another w
Overview: Life s Operating Instructions
In 1953, James Watson and Francis Crick doublehelical model for the structure of
deoxyribonucleic acid, or DNA
Hereditary information is encoded in DNA and
reproduced in all cells of the body
This DNA program di