Plus writers competition
Maths is the language of the universe , so what have you
got to say ?
Here at Plus we try to open a door to the world of maths , with
all its beauty and applications, by providing articles from top
mathematicians and science writers on topics as diverse as art,
medicine, cosmology and sport. But many people are still
unconvinced of the relevance of mathematics to our daily
lives.
This is why every year we hold our maths essay competition,
the Plus new writers award: to find the people who can bring
mathematics to life . The competition is open to new writers of
any age and from any background who can explain a
mathematical topic or application they think the world needs to
know about . The winning entries will be read by an
international audience of over two hundred thousand in the
June 2008 issue of Plus, and the winners will receive an iPod
and signed copies of popular maths books by some of the best
science writers today , and a subscription to the journal Nature,
kindly donated by its publisher. The closing date is March 31st
2008.
The competition is kindly supported by the Maths, Stats and
Operational Research Network, a Subject Centre of the Higher
Education Academy, and the London Mathematical Society .
"It was people telling the big mathematical stories that made me realise at
school that there was much
more to maths than simple long division," says Marcus du Sautoy, author of the
best-selling book The
music of the primes and one of the judges of last year's Plus new writers award.
"Reading these stories
inspired me to want to make my own mathematical breakthroughs. The future of
mathematics depends
on capturing the imaginations of those who will become the next generation of
mathematicians." The
competition will be judged by three prominent mathematicians and science
writers.
There are three categories: secondary school and sixth form students, university
students (both undergraduate and postgraduate ) and the general public.
• Secondary school and sixth form students are invited to submit a piece of up
to 900 words on the
life and/or work of a mathematician of their choice, living or dead. Helpful
resources and hints are
given in the guidelines for school entrants.
• University students and the general public are invited to write a 1500 word
piece on any
mathematical subject of their choice. Helpful hints are given in the guidelines
for universities and
the general public entrants.
If you think you can share your passion for maths with the general public,
download your entry pack
today and get writing!!
• Competition prizes
• Guidelines for school entrants
•Guidelines for university student and general public entrants
• Rules of the competition
• Download competition poster
•Download entry pack (PDF or Word) (includes guidelines, rules, entry form and
copyright form)
•Subscribe to the Plus fortnightly newsletter for competition updates
• contact
• copyright info
• sponsors
• privacy info
Beginning Algebra Self-Paced and Variable Credit
SUPPLEMENTARY RESOURCES:
1. Get help from the tutors that are available in the MRC
Tutoring Room 163.
2. Use the quiet study room if Room 163 is too noisy.
3. Check out individual math topic Video Tapes from the Reception Counter staff.
4. Refer to the "Student Solutions Manual " if you get stuck.
5. Use on-line MathXL resources.
6. Take practice tests before the graded tests . Go to the MRC Reception Counter,
Room 169.
OVERVIEW OF COURSE:
| Credit |
Chapter and Topic |
Test covers |
| 1st credit |
Chapter 1.1 – 1.4 - Variables, Real
Numbers, and Mathematical Models |
Test 1: Ch 1 |
| |
Chapter 1.5 – 1.8 – Remainder of
Chapter 1 |
Test 2: Ch 1 |
| 2nd credit |
Chapter 2.1 – 2.3 - Linear Equations
in One Variable |
Test 3: Ch 2 |
| |
Chapter 2.4 – 2.5 – Formulas,
Percents, Problem Solving |
Test 4: Ch 2 |
| 3rd credit |
Chapter 2.6, 7.7 – Geometry, Ratio &
Proportion |
Test 5: Ch 2 & 7.7 |
| |
Chapter 2.7, 3.1-2 – Inequal. &
Linear Eqns. In 2 Vars. |
Test 6: Ch 2.7 & 3.1-3.2 |
| 4th credit |
Chapter 3.3 – 3.5 - Linear Equations
In 2 Variables |
Test 7: Ch 3.3-3.5 |
| |
Cumulative Review - Chapters 1, 2,
7.7, 3 |
Test 8: Ch 1, 2, 7.7, 3 |
NOTE:
As you begin this course you must be able to ADD,
SUBTRACT, MULTIPLY, and DIVIDE WITHOUT THE USE OF A CALCULATOR and be
knowledgeable of basic mathematics skills including whole numbers, fractions,
mixed numbers, decimal notation, percent, and ratio & proportion. If you lack
these skills consider enrolling in Math 20, Basic Math Review .
CALCULATOR:
A
scientific calculator is required and useful in this course. However, we
encourage you to do most of your numeric work in this course by hand (to
reinforce basic skills) THEN use a calculator to check your work . You are to
provide your own calculator. Some exams do not allow use of calculators with the
intention of helping you to maintain computational skills.
HINTS FOR SUCCESS and HOW TO DO YOUR HOMEWORK:
1. Establish a regular daily schedule for doing your math homework and stick
with it.
2. Try to do your work in the Math Resource Center where tutor help is available
when you need it.
3. Try to stay on schedule to meet your suggested
4. Use the tutors and video tapes. “On Schedule” test dates.
5. Follow the Lesson/ Homework Assignment guide on the following pages.
6. Before starting on the assigned homework study the text discussion & examples
and work “check point” problems for practice.
7. Then, neatly work homework problems on your own paper. Try to do them without
looking at examples or a solutions manual. You must show each step of your
solution. Then grade yourself . Try to fix your mistakes and then get tutor help
or refer to the Student Solutions Manual
8. Finally, take your completed homework assignment and Study Guide to a tutor
to verify completion and receive their stamp of approval.
HOW TO BE PREPARED & TAKE EXAMS IN THIS COURSE:
1. Complete your homework and check it as described above in “Hints for
Success.”
2. After all the assigned work has been checked by a tutor, we suggest you try
to work the Chapter Test in the text without looking at any solved problems .
Grade it and get help if needed. Now you are almost ready to take the graded
test .
3. With your tutor stamped Study Guide go to the Reception Counter and ask for a
Practice Module Test. Since the only difference between practice and graded
tests is that your score on the practice test will not count, taking a practice
test gives you a realistic, objective check of your skill level without
affecting your grade for the course. Work each question on the test like you did
in your homework, showing each step. You are allowed to take more than one
practice test, if you so choose. When your practice test score is above 80%, you
should be ready to take the graded exam.
4. Once you have completed Steps 1, 2, and 3 you are ready to take the Graded
Module Test. Go to the Reception Counter, show your Study Guide, and check in to
take the test for a grade. Relax, take your time, show your work, and
demonstrate what you have learned. We want you to earn a score of 80% or better
before you test on material from the next set of homework assignments.
NOTE:
Homework will receive a date stamp from a tutor only if it is done neatly
with step-by-step solutions shown .
All graphing should be done using graph
paper.
A PAGE OF ANSWERS WITHOUT WORK SHOWN WILL NOT BE ACCEPTED.
BEST WISHES &
GOOD LUCK !!
You must show step-by-step solutions (not just a list of
answers) to receive credit for your work. Odd = 1,3,5,7,9,etc.; Eoo = every
other odd: 1,5,9,13,17,21, etc.
| LESSON Chapter & Section |
HOMEWORK ASSIGNMENT |
Date Stamp from tutor when completed |
| Credit #1, Module A: Chapter 1.1 - 1.4
1.1 Introduction to Algebra: Variables & Math Models
1.2 Fractions in Algebra ……………………………….
1.3 The Real Numbers………………………………… Obtain Real Numbers “Family Tree” from
a Tutor
1.4 Basic Rules of Algebra……………………………. Mid-Chapter Check Point
Sections 1.1-1.4……………. |
Odd 1-87; All 89-95; 101; All
103-107……………….
Eoo 1-89; Odd 91-129; 133; All 145-148………….
Eoo 1-29; 33,
34; Odd 35-43; Eoo 45-69; Odd 71-87; 95, 101, 105; All 107-110; Odd
113-121; 122, 123…..
Odd 1-79; 80, 81; Odd 89-
93………………………… All 1-25………………….. |
/ / / /
/ /
/ /
/ / |
| Practice Test 1: score_______ date: ________
Graded Test 1: score_______ date: ________ |
Take Test #1 (No Calculator allowed) |
“On Schedule” Test Date: __________ |
| |
|
|
| Credit #1, Module B: Chapter 1.5 - 1.8
1.5
Addition of Real Numbers…………………………
1.6 Subtraction of Real
Numbers………………………
1.7 Multiplication and Division of Real Numbers……..
1.8
Exponents and Order of Operations………………..
Chapter 1 Review
Exercises…………………………… |
Odd 1-61; 62; Odd 65-81; 85; Odd
91-97; All 102-104………………………..
Odd 1-103; 107; All 114-121; All
125-127………….
Odd 1-127; Odd 133-141; All 146-148……………….
Odd 1-27; Eoo
29-69; Odd 73-99; All 103-107; Odd 109-115; All 118-120…….
Odd
1-103………………... |
/ / / /
/ /
/ /
/ / |
| Practice Test 2: score_______ date: ________
Graded Test 2: score_______ date: ________ |
Take Test #2 (No Calculator allowed)
End of Credit #1 |
“On Schedule” Test Date: __________ |
Answers to even numbered problems from assignments above:
104: F, 106: F, 146: F, 148: F, 108: makes sense, 110: does not make sense, 122:
-0.414, -1 and 0, 62: 14, 114: T, 116: T, 118: positive, 120: negative
Mathematics Courses
MAT032-H Arithmetic for College Students A 2
This course consists of instruction in basic math including
addition, subtraction, multiplication, and division of whole
numbers, fractions, and decimals. It also includes percents,
ratios, and proportion.
MAT033-H Arithmetic for College Students B 2
This course consists of instruction in measurement under both
the customary and metric systems. Topics also include signed
numbers, solving equations, real numbers, and graphing.
MAT060-H Algebra IA 3
This course will give you a basic algebraic background . Topics
covered include terms, expressions, properties, equations,
plan geometry, integers, word problems, graphs, simultaneous
equations, and factoring.
MAT061-H Algebra IB 3
This course is a continuation of Algebra IA. The topics covered
include algebraic fractions, exponents, radicals, quadratic
equations, ratio, proportions, variation, angles, Pythagorean
theorem, similar triangles, and basic trigonometry.
MAT070-H Algebra IIA 3
This course will begin with a review of the basics taught in
Algebra I. Additional topics covered include real numbers,
axioms, theorems, special products, and factoring.
MAT071-H Algebra IIB 3
This course is a continuation of Algebra IIA. The topics covered
include complex numbers, equations with radicals , functions,
variations, rational exponents, logarithms, and the binomial
theorem.
MAT101-A Intermediate Algebra 3
This course is applicable only to students who already have
basic knowledge of algebra. Reinforcement of topics from
Elementary Algebra stressing problem solving, drills, conclusion
obtained from graphs and other data, and a substantial
expansion of radical equations are covered . New topics are
variations, exponential functions and logarithms, and quadratic
equations. This course is counted for graduation credit
toward AAS degree but not the AA nor the AS degree. This
is also a preparatory course for college algebra .
MAT102-A Intermediate Algebra 4
This course is designed to provide you with the basic algebra
skills needed prior to the study of college algebra and trigonometry.
The emphasis is on using the concept of algebraic function
to model real-life situations. Different types of models including
linear, quadratic, and exponential models will be presented
along with the supporting algebraic skills and procedures. You
are required to have a graphing calculator for this course .
The TI-83 or TI-84 is strongly recommended. One year of
high school algebra or MAT106-E is required.
MAT104-C Applied Math Topics 3
This course is designed to give you a thorough review of the
four basic functions of addition, subtraction, multiplication, and
division of whole numbers, decimals, fractions, integers,
measurements and percents. Basic linear equations and basic
geometric figures for perimeter, area, and volume will be
covered. You are then given exercises in using these mathematical
skills in special occupational applications.
MAT106-E Elementary Algebra 3
This course provides you with basic algebra skills. It will
cover topics of linear equations and inequalities, formulas,
systems of equations, quadratic equations, and factoring.
Prerequisite: One year high school algebra or equivalent
MAT108-C Math Fundamentals 3
This course is designed to provide you with a broad overview
of mathematical concepts including operations and problem
solving with fractions, decimal numbers, percents, ratio and
proportion problems, measurement, basic statistics, and
basic geometry. Estimation and number sense are stressed
throughout the course. Calculator usage is also covered.
MAT110-A Math for Liberal Arts 3
This course is designed to introduce you to a variety of interesting
mathematics topics. Emphasis will be on problem solving
and real-life applications of these topics. This course is designed
for anyone seeking a two-year degree or any other student
who is interested in learning a variety of mathematics topics.
One year of high school algebra is recommended but not
required.
MAT111-A Math for Liberal Arts 4
A mathematics course designed for the liberal arts student.
The course covers a broad spectrum of topics designed to help
the student survey and develop skills that lead to appreciation
for the uses and values of mathematics. Topics include: Critical
thinking skills, sets, logic, numeration systems, number theory,
mathematical systems, geometry, counting methods, probability,
and statistics. Enrichment topics may include social
choice and decision making, and the mathematics of finance.
MAT121-A College Algebra 4
This course is designed to strengthen and expand the algebra
skills required for further mathematical study in trigonometry
and calculus. The emphasis is on using the concept of an
algebraic function to model real-life situations. Different
types of models including linear, polynomial, exponential,
and logarithmic models are presented along with the supporting
algebraic skills and procedures. You are required to
have a graphing calculator for this course. A TI-83 or TI-84
is strongly recommended. Two years of high school algebra
or MAT102-A are required.
MAT123-E Basic Algebra and Trigonometry 4
The mathematical subjects of this course are developed in
simple stages and are applied to the solution of practical
problems. The topics of the course are a review of arithmetic,
units of measurement, basic algebra, basic geometry, right
triangle trigonometry, functions and graphs, simultaneous
linear equations, and basic solid geometry. Prerequisite:
One year high school algebra or equivalent
MAT124-E Algebra and Trigonometry 3
This course is a continuation of Basic Algebra & Trigonometry.
The topics of the course are trigonometric functions of any
angle, vectors, exponents and radicals, the j-Operator, exponential
and logarithmic functions, addition types of equations,
and systems of equations. Prerequisite: MAT123-E
MAT125-A Precalculus 3
An intensive course in college algebra and trigonometry.
Topics include functions and their graphs, exponential and
logarithmic functions, trigonometric identities and equations,
sequences and series, limits, mathematical induction, the
binomial theorem , permutations and combinations, probability,
and applications. Graphing, calculator, and computer use
throughout.
MAT129-A Precalculus 5
An intensive course in college algebra and trigonometry.
Topics include functions and their graphs, exponential and
logarithmic functions, trigonometric identities and equations,
sequences and series, limits, mathematical induction, the
binomial theorem, permutations, and combinations, probability,
and applications. Graphing, calculator, and computer
use throughout.
MAT130-A Trigonometry 3
This course is designed to develop your knowledge of
trigonometry and related skills prior to the study of calculus.
The six trigonometric functions and applications of those
functions are emphasized. Other topics covered may include
graphing of the trigonometric functions, trigonometric identities
and equations, analytic geometry, and exponential and
logarithmic functions. A graphing calculator is required for
this course. Prequesities: Two years of high school algebra,
MAT102-A or MAT121-A
MAT132-E Algebra, Geometry and Trigonometry I 4
The topics of this course are developed in simple stages
and are applied to the solution of practical problems . The
topics of the course are a review of algebra, units of measurement,
basic geometry, trigonometry, functions and graphs,
systems of linear equations, quadratic equations, and vectors.
Prerequisites: High School Algebra I and II
MAT133-E Algebra, Geometry and Trigonometry II 3
This course is a continuation of Algebra, Geometry, and
Trigonometry I. The topics of the course are exponents and
radicals, complex numbers, exponential and logarithmic
functions, additional types of equations and systems of
equations, equations of higher degree, inequalities, variation,
trig identities, and plane analytic geometry. Prerequisite:
MAT132-E
MAT140-A Finite Math 3
This course is designed to provide you with skills in finite
mathematics. Topics covered will include linear equations,
matrices, linear programming, sets and counting, probability
and statistics, and finance. Other topics may be covered as
time permits. Many types of applications will be presented
throughout the course. This math course is appropriate for
any first or second year college student and is especially
useful for those students majoring in business or in the
social or biological sciences. Prerequisite: One year of high
school algebra, MAT110-A or MAT106-E
MAT150-A Discrete Math 3
This course is designed to introduce you to topics and concepts
in discrete mathematics. Discrete mathematics is that
part of mathematics dealing with finite—but often large—
sets of objects. Discrete mathematics is to be contrasted with
‘continuous’ mathematics, for example the classical theory
of calculus. Its rise in popularity coincides with the rise of
the computer. Topics covered in this class will include logic
and methods of proof , sets, relations, functions, recursion,
induction, and counting principles.
MAT156-A Statistics 3
This course is designed to provide you with a foundation of
statistical concepts and procedures that can aid the student
as both a consumer and producer of statistical information.
The emphasis is on collecting data, descriptive statistics,
probability, binomial and normal distributions, estimating,
hypothesis testing, and regression analysis. One year of
high school algebra or MAT106-E is required.
MAT210-A Calculus I 4
This course is designed to provide you with a basic knowledge
of calculus. Topics covered include the notion of limit,
the derivative, and the integral as well as practical applications
of these concepts. Topics will be approached from numerical,
graphical, and analytical standpoints. You are required to
have a graphing calculator for this course. Prerequisite:
MAT121-A and MAT130-A or four years of advanced high
school math
MAT211-A Calculus I 5
A review of analytic geometry and functions; a study of limits,
continuity, differentiation, and integration. Emphasis on theory,
applications, and computer use throughout. Prerequisite:
College Algebra or Trigonometry or appropriate CPT score
on math assessment
MAT216-A Calculus II 4
The study of calculus is expanded in this course to include more
advanced topics. Logarithmic, exponential, and trigonometric
functions will be expanded in detail. Other topics include infinite
series, analytic geometry, and polar coordinates. The emphasis
of the course will be on problem solving techniques and
theory. You are required to have a graphing calculator for this
course. Prerequisite: MAT210-A or an equivalent Calculus I
course
MAT772-C Applied Math 3
This course is designed to acquaint the student with the
mathematics necessary to function within technical careers
and to become a more aware consumer. Topics include:
review of arithmetic operations; measurement; metric system;
fundamentals of geometry; introductory statistics and
probability; graphs; and elementary algebra concepts with
emphasis on applications.