Mental Math Grade 3
MM 3-1
MM 3-3
Count by tens. What comes next?
1. Start at 30. (40)
1. Write the number that is 5 tens and 2 ones.
(52)
2. Start at 60. (70)
2. Write the number that is 7 tens and 4 ones.
(74)
3. Start at 20. (30)
4. What is 40 + 30 = (
Binary Representation and Computer Arithmetic
The decimal system of counting and keeping track of items was first created by Hindu
mathematicians in India in A.D. 400. Since it involved the use of fingers and thumbs, it was
natural that this system would
Differential Calculus and Coordinate Geometry
Spring 16-17
Chapter 4
Analysis of functions
4.1 Analysis of Functions
Increasing and Decreasing Functions
Definition: A function y f (x) is increasing on an open interval I (a, b) if for all
x1, x2 I with x1
Chapter 6. Binary, octal and hexadecimal numbers
This material is covered in the books:
Nelson Magor Cooke et al, Basic mathematics for electronics (7th edition), Glencoe, Lake
Forest, Ill., 1992. [Hamilton 510.24 L62*6]
See chapter 36.
Wilson T. Price,
Chapter 3
3.1 Expansion of functions
3.1.1 The Rolles Theorem:
Let f be continuous on the closed interval
f ( a ) f (b)
[ a , b]
and differentiable on the open interval
, then there is at least one point c in the interval (a, b) such that
( a , b)
. If
f
Functions
Limits and Continuity
Aim
To demonstrate how to calculate the limit of a function.
Learning Outcomes
At the end of this section you will be able to:
Understand what the limit of a function is,
Tell if a given function is continuous at a given
AMERICAN INTERNATIONAL UNIVERSITY - BANGLADESH
Banani, Dhaka-1213, Bangladesh
Faculty of Science & Information Technology
Department of Mathematics
COURSE OUTLINE
Academic term: Spring 2016-17
ICourse code and title: MAT 1102: DIFFERENTIAL CALCULUS
AND CO
Chapter
5
Binary, Octal, Decimal,
and Hexadecimal
Calculations
This calculator is capable of performing the following operations
involving different number systems.
Number system conversion
Arithmetic operations
Negative values
Bitwise operations
5-1
Octal Arithmetic
This section describes octal arithmetic operations addition and subtraction.
Octal Number System
Following are the characteristics of an octal number system.
Uses eight digits, 0,1,2,3,4,5,6,7.
Also called base 8 number system
Each posi
Differential Calculus and Coordinate Geometry
Spring 2016-17
Chapter 1
1.1. Real Numbers, Intervals, and Inequalities
In mathematics, a real number is a value that represents a quantity along a line.
The real numbers include all the rational numbers, such
Integral Calculus & Ord. Diff. Equations 2016 ,AIUB
Chapter 2
Applications of the Definite Integral
2.1 Area of regions between two curves
Definite integrals could be used to determine the area of the region between the graph of a
function and the x-axis
Integral Calculus & Ordinary Differential Equations
Summer 2015-2016, AIUB
Chapter 3
Methods of Integration
3.1 Integration by Parts
Suppose that u and v are differentiable. From the product rule
.
d
dx
uv u dv
v du
dx
dx
x and transposing, we have
.
In
Integral Calculus & Ordinary Differential Equations
Summer 2015-2016, AIUB
Chapter 4
Improper Integrals, Gamma and Beta Functions
4.1 Improper Integrals
An improper integral is an extended concept of a definite integral that has infinite limits on
one or
Chapter 9 (Continue)
Cover Messages
1
WRITING THE COVER
MESSAGE
Writing the cover message involves
matching your qualifications with the
job.
2
Print Cover Letters
The following procedure is used in most
successful print efforts:
Begin with words selected
AMERICAN INTERNATIONAL UNIVERSITY-BANGLADESH
Faculty of Science and Information Technology
Department of Mathematics
COURSE OUTLINE
Academic Term: Summer 2014-2015
I-
Course Code and Title : MAT1205, Integral Calculus
and
Equations
Ordinary Differential
I
Chapter 3
Techniques of Integration
3.1 Integration of Rational Functions
A function of the form P(x)/Q(x), where P and Q are polynomials are rational function. It is
said to be proper fraction if the degree of P(x) is less than degree of Q(x), otherwise,
Chapter 1
Indefinite Integration
1.1 Indefinite Integrals
Indefinite integration may be regarded as the inverse operation to differentiation. This means
that the derivative of an indefinite integral of a function is the function itself.
Definition: Suppos
Chapter 2
Definite Integration
2.1 Definition of a Definite Integral
Let
f (x)
be defined (i.e. bounded) in the interval
I [a, b]
. Sub Divide I into n subintervals by
the points
a x 0 x1 x 2 x n b
and let
x r x r 1 x r
For each r choose a point
cr
,
such