Sciences, Technology & Medicine

## A Textbook Of Engineering Mathematics Sem 1 KTU

This book is a modified form of the book â€˜â€˜A Textbook of Engineering Mathematicsâ€™â€™, First Year for Cochin University of Science and Technology which is a part of the original book â€˜â€˜A Textbook of Engineering Mathematicsâ€™â€™ (with 28 chapters and covering the syllabi of Engineering courses of all semesters of all the Indian universities) running its eighth edition and very well received by the students and teachers of all Indian Universities. The present form of the book is divided into 6 modules containing 9 chapters and covers entire portion according to latest syllabus prescribed by Kerala Technological University (KTU) for the B Tech First semester MA 101 Calculus paper. There is no dearth of books on Engineering Mathematics but the students find it difficult to solve most of the problems in the exercise in the absence of adequate number of solved examples. Anoutstanding and distinguishing feature of the book is the large number of typical solved examples followed by well-graded problems.
• Publisher: Laxmi Publications
• Language: English
• Chapter 1

### Hyperbolic Functions Price 2.99  |  2.99 Rewards Points

The hyperbolic functions have similar names to the trigonometric functions, but they are defined in terms of the exponential functions

• Chapter 2

### Infinite Series Price 2.99  |  2.99 Rewards Points

A sequence is a function whose domain is the set N of all natural numbers whereas the range may be any set S. In other words, a sequence in a set S is a rule which assigns to each natural number a unique element of S.

• Chapter 3

### Power Series Price 2.99  |  2.99 Rewards Points

A series of the form a0 + a1x + a2x2 + ..... + an xn + ..... = Σ is called a power series

• Chapter 4

### Three Dimensional Space Price 2.99  |  2.99 Rewards Points

Any first degree equation in x, y, z represents planes in 3 space. Hence planes are represented by linear equations in the cartesian system

• Chapter 5

### Functions of Two or More Variables Price 2.99  |  2.99 Rewards Points

FUNCTIONS OF TWO VARIABLES
If three variables x, y, z are so related that the value of z depends upon the values of x
and y, then z is called a function of two variables x and y, and this is denoted by z = f(x, y).
z is called the dependent variable while x and y are called independent variables.
For example, the area of a triangle is determined when its base and altitude are known.
Thus, area of a triangle is a function of two variables, base and altitude.

• Chapter 6

### Partial Differentiation and Applications Price 2.99  |  2.99 Rewards Points

Let z = f(x, y) be a function of two independent variables x and y. If y is kept constant
and x alone is allowed to vary, then z becomes a function of x only. The derivative of z, with
respect to x, treating y as constant, is called partial derivative of z w.r.t. x

• Chapter 7

### Calculus of Vector Valued Functions Price 2.99  |  2.99 Rewards Points

If to each value of a scalar variable t, there corresponds a value of a vector r , then r is
called a vector function

• Chapter 8

### Multiple Integrals Price 2.99  |  2.99 Rewards Points

The multiple integral is a definite integral of a function of more than one real variable, for example, f(x, y) or f(x, y, z).Integrals of a function of two variables over a region in R2are called double integrals, and integrals of a function of three variables over a region of R3 are called triple integrals.

• Chapter 9

### Vector Integration Price 2.99  |  2.99 Rewards Points

Vector integration refers to four types of integrals of vectors: ordinary integrals, indefinite or definite. line integrals: the vector values with respect to points on a line. surface integrals: sum the vector values with respect to an area (performed as a double integral for each coordinate)

• Chapter 10

Appendix I

• Chapter 11

Appendix II