SEM -III Maths Lectures Starting 1st June-2012 Admissions in progress

Maths (SEM-III) Batch Starting from 1-June 2012

Specialist in Mathematics

Admissions in progress

Contact: 9930006903/9773537101

• Integration

Definition of integration as anti-derivative. Integration of standard function. Rules of integration
(Integrals of sum, difference, scalar multiplication). Methods of Integration : Integration by
substitution, Integration of rational functions, Integration by partial fractions, Integration by
trigonometric transformation, Integration by parts. Definite Integration : Definition of definite
integral, Properties of definite integral with simple problems. Applications of Definite Integrals : Area
under the curve, Area between two curves.

• Differential Equation

Definition of differential equation, order and degree of differential equation. Formation of differential
equation for function containing single constant. Solution of differential equations of first order and
first degree such as variable separable type, reducible to Variable separable, Homogeneous,
Nonhomogeneous, Exact, Linear and Bernoulli equations. Applications of Differential equations :
Laws of voltage and current related to EC, RC, LRC Circuits.

• Interpolation

Introduction, Lagrange’s interpolation formula. Difference operator, relation between them.
Difference Table. Newton’s forward and backward difference interpolation formulae. Concept of
extrapolation.

• Numerical Differentiation and Integration

Newton’s forward and backward difference formulae for differentiation
Numerical integration
Trapezoidal rule and simpson’s 1/3 rd rule.

• Numerical Solution of Ordinary Differential Equation,

Introduction, Runge Kutta’s 2nd and 4th order methods.

• Discrete Mathematics

Relational algebra, Sets, subsets (Venn diagram), Operation on sets, De−Morgan’s laws. Principal of
inclusion and exclusion with simple problems.

• Probability

Definition of random experiment, sample space, event occurrence of event and types of events
(impossible, mutually exclusive, exhaustive, equally likely). Definition of probability, addition and
multiplication theorems of probability. Probability Distribution : Binomial distribution, Poisson’s
distribution, Normal distribution, Simple examples corresponding to production process.

• Numerical Methods

Solution of algebraic equations : Bisection method, Regulafalsi method and Newton−Raphson
method. Solution of simultaneous equations containing 2 and 3 unknowns : Gauss elimination
method, Iterative methods − Gauss Seidal and Jacobi’s methods.

• Laplace Transform

Definition of Laplace transform, Laplace transform of standard functions. Properties of Laplace
transform such as Linearity, first shifting, second shifting, multiplication by tn, division by t. Inverse
Laplace transforms. Properties − linearly first shifting, second shifting. Method of partial fractions.
Convolution theorem. Laplace transform of derivatives, Solution of differential equation using
Laplace transform (up to second order equation).

• Fourier Series

Definition of Fourier series (Euler’s formula). Series expansion of continuous functions in the intervals
(0, 2l), (−l, l), (0, 2), (−, ). Series expansions of even and odd functions. Half range series.

Maths ATKT Batch For FY Diploma Students

Maths-1 Crash Course for ATKT  Batch  For FY Diploma Students

Specialist in Mathematics

Special Batch for KT students to Clear Subject in small time, 100% PASS GUARANTIED RESULT

Focus on Exam oriented Question

Admissions in progress

Contact:9930006903/9773537101

Crash Course for Maths-1 ( in 20 Days)

Logarithms
1. Laws of logarithm —————-06 Marks
2. Important Examples based on portion

Diploma Study Center, Thane – Nitin Bhor

Partial Fraction ———————–08 Marks
1. To Resolve proper fraction into partial fraction with
denominator containing non repeated linear factors,
repeated linear factors and irreducible non repeated
quadratic factors.
2. To resolve improper fraction into partial fraction.

Determinant and matrices
Determinant ————————— 04 Marks
1.Expansion of determinants of order 2 and 3.
2. Cramer’s rule to solve simultaneous equations in 2 and 3 unknowns.
Matrices ——————————— 16 Marks
2. Algebra of matrices such as equality, addition,Subtraction, scalar multiplication and multiplication.
3. Transpose of a matrix.
4. Minor, cofactor of an element of a matrix, adjoint of matrix and inverse of matrix by adjoint method.

Binomial Theorem ——————————06 Makrs
1 Binomial theorem for positive index.
2. Binomial theorem for negative index.
3. Approximate value (only formula)

COORDINATE GEOMETRY
POINT AND DISTANCES —————-08 Makrs
1. Distance formula, Section formula, midpoint, centriod of
triangle.
2.Area of triangle and condition of collinearity.

STRAIGHT LINE —————-12 Makrs
1. Slope and intercept of straight line.
2. Equation of straight line in slope point form, slope-intercept form, two-point form, two-intercept form, normal form. General equation of line.

3. Angle between two straight lines condition of parallel and perpendicular lines.
4 Intersection of two lines.
5. Length of perpendicular from a point on the line and perpendicular distance between parallel lines.
CIRCLE —————-08 Makrs
1. Equation of circle in standard form, centre – radius
form, diameter form, two – intercept form.

2. General equation of circle, its centre and radius.

VECTORS —————-08 Makrs
1. Definition of vector, position vector, Algebra of vectors (Equality, addition, subtraction and scalar multiplication)
2. Dot (Scalar) product with properties.
3 Vector (Cross) product with properties.
4. Applications of Vectors
5. Work done and moment of force about a point & line

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Article by: Blue Brick

Second Semester Engineering Mathematics

Regular Batches for FY  Diploma Semister II is Started from the week starting Monday, 19 December

Chapters 1 to 5 are common for all branches.

Chapter 6-For Civil, Electrical, Mechanical and Electronics groups

Chapter 7 & 8-For Computer Engineering Group.

Chapter Name of the Topic Hours Marks

01 Function and Limit

1.1 Function                           04 Hrs                      08Marks

1.1.1 Definitions of variable, constant, intervals such as open,

closed, semi-open etc.

1.1.2 Definition of Function, value of a function and types of

functions, Simple Examples..

02 Limits                                                             08 Hours               16 Marks

2.1 Definition of neighborhood, concept and definition limit.

2.2 Limits of algebraic, trigonometric, exponential and

logarithmic functions with simple examples

03 Derivatives                                             14 Hours    24 Marks

3.1 Definition of Derivatives, notations.

3.2 Derivatives of Standard Functions

3.3 Rules of Differentiation. (Without proof). Such as

Derivatives of Sum or difference, scalar multiplication,

Product and quotient.

3.4 Derivatives of composite function (Chain rule)

3.5 Derivatives of inverse and inverse trigonometric functions.

3.6 Derivatives of Implicit Function

3.7 Logarithmic differentiation

3.8 Derivatives of parametric Functions.

3.9 Derivatives of one function w.r.t another function

3.10 Second order Differentiation.

4 Applications Of Derivative                           06 Hours            12 Marks

4.1.1 Geometrical meaning of Derivative,

4.1.2 Maxima and minima

4.1.3 Radius of Curvature

05  Statistics                                 10 Hours  24 Marks

5.1 Measures of Central tendency (mean, median, mode) for

ungrouped and grouped frequency distribution. Marks 08

5.2 Graphical representation (Histogram and Ogive Curves) to

find mode and median Marks 06

5.3 Measures of Dispersion such as range, mean deviation,

Standard Deviation, Variance and coefficient of variation.

Comparison of two sets of observations. Marks 10

NOTE: Chapter 6 is for Civil, Electrical, Electronics and Mechanical Groups

06  Complex number                               06 Hours     16 Marks

6.1 Definition of Complex number. Cartesian, polar,

Exponential forms of Complex number.

6.2 Algebra of Complex number(Equality, addition,

Subtraction, Multiplication and Division)

6.3 De-Moivre’s theorem (without proof) Examples based on it,

w.e.f Academic Year 2009-10 ‘E’ Scheme

MSBTE – Final Copy Dt. 20/08/2009 10 12013

roots of complex numbers, roots of unity

6.4 Euler’s form of Circular functions, hyperbolic functions and

relations between circular &hyperbolic functions

Note: Chapter 7 and 8 is for Computer Engineering Group Only

07   Numerical Solution of Algebraic Equations                     03 Hours          08 Marks

Bisection method, Regula-Falsi method and Newton-

Raphson method

08  Numerical Solution of Simultaneous Equations         03  Hours      08 Marks

Gauss elimination method

Iterative methods-Gauss Seidal and Jacobi’s method.

Diploma Engineering Classes

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Phone: 9892782186

         Admission Started for FY Diploma

II Semister

All Subject All Branches

Regular Batches for FY  Diploma Semister II Starting soon, limited Seat  rush to book your Seat

• Experienced team of highly qualified professor.
• Convenient Batch timing batches according to college timing. 
• Expert coaching for Diploma Engineering students.
• Best Place to clear basics.
• Several topic wise test and exam conducted during the course and parents are kept informed about their word’s performance.

Diploma Classes in thane

Regular Batches for FY / SY / TY Diploma Semister II / IV will Commence from the week starting Monday, 19 December

• Experienced team of highly qualified professor.
• Convenient Batch timing batches according to college timing. 
• Expert coaching for Diploma Engineering students.
• Best Place to clear all basics of Mathematics and Concept of Other subject like Digital Electronics, Electrical Tech, Electronics,Microprocessor,Mechanics, Engineering Drawing.
• Several topic wise test and exam conducted during the course and parents are kept informed about their word’s performance

Tuition fees for entire course of following subject is Rs. 3000/-

Subject	Branches	Days	timings	Date
Engineering Mathematics	All Branches	Monday, Thursday	8 p.m-9.30 p.m	19 DEC
Engineering Mechanics	CV, ME, EE, FE	Tuesday	8 p.m-9.30 p.m	20 DEC
Programming in C	CO, IF ,CM	Wednesday	8 p.m-9.30 p.m	21 DEC
Electrical Technology	CO, IF ,CM	Friday	8 p.m-9.30 p.m	23 DEC
Applied Science	CV, ME, EE, FE	Wednesday	8 p.m-9.30 p.m	21 DEC
Drawing -II	ME, AE, MI	Saturday	9 a.m-11 a.m	24 DEC
Engineering Mathematics	All Branches	Sunday	8 a.m-10 a.m	25 DEC
Data Structure	CO, CM, IF, CD	Tuesday/Saturday	8 p.m-9.30 p.m	19 DEC
Computer Architecture & Maintenance	CO, CM, IF, CD	Wednesday/Sunday	8 p.m-9.30 p.m	20 DEC
Computer  Network	CO, CM, IF, CD	Friday/Saturday	8 p.m-9.30 p.m	23 DEC
Theory of Machines & Mechanisms	ME, PT,PG, AE	Monday	7 pm – 8.30 p.m	19 DEC
Digital Techniques & Microprocessor	ET, EN EX, EJ	Friday/Saturday	8 pm – 9.30 p.m	23 DEC
Fluid Mechanics & Machinery	ME, PT,PG,FE	Monday	7 pm – 8.30 p.m	19 DEC