Attend demo classes on BSc Maths - 3 Online MathsTuitions

BSc Maths - 3 Online MathsTuitions
for IIT - JAM Coaching

Attend free demo Live classes are scheduled on 23 July 2015 at 6:15 am 

Register at Website : https://www.bijmathiq.com/
Part-A
Vector Space

Learnig Objectives

•  Binary Operations , vectors ,vector addition and scalar multiplication
•  Definition of vector space  and Subspaces
•  Linear combination , span , LD , LI and basis
•  Dimension of vector space , dimension theorem
•  Linear transformations and its matrix representation
•  Sylvester's law
•  Eigen values and vectors , caylay-hamilton theorem , diagonalization 
•  Inner product , euclidean and unitary spaces , norm of a vector , schwartz's inequality 
•  orthogonality , orthonormal sets and gram-schmidt process

Syllabus

Vectoer spaces - general properties . Subspaces , linear combination ,spanning , basis , finite dimensional vector space , linear transformations , rank-nullity theorems , matrix representation of linear transformations  and its characteristics sylvester's law of nullity,characteristic vlues and vectors , caylay - hamilton theorem ,diagonalization.Inner product spaces ,euclidean and unitary spaces , norm , schwartz's inequality , orthogonality, orthonormal set and gram-schmidt orthogonalization process .

Learning out comes

Student will

• Learn how the binary operations will work on vector spaces , when does the non empty subset of a vector space becomes the subspace of the vector space .
• learn about linear combinations and it spans the vector space and form the basis for vector space , identifying the dimension of the vector space .
• Study about the dimension theorem proof and will verify  and get the dimension of the vector spaces .
• learn about linear transformations - properties and characterisrics , matrix representations .Sylvester's law of nullity .
• learn about eigen values and eigen vectors - properties and charecterics eigen values and eigen vectors  and caylay hamilton theorem - its verification and finding Inverse of A and powers of A .
• Study and learn about the norm ( length) of the vectors , ineer product spaces , euclidean and unitary spaces -their properties and characteristics -schwartz's inequality .
• Orthogonalization of vectors and orthionormal sets and gran-schmidt's process of orthogonalization .

Part - B     Multiple Integrals & Vector Calculus

Learning Objectives :

• Line and multiple integrals  , limit form and existance .
• Double integral and defining over the region R , change of order of integration and change of variables , double integrals in polar coordinates .
• Triple integrals and defining over the volume V.
• Applications of double and triple integrals .
• Vector calculus ( differentiation and integration ).
• Vector differential operator , Gradient ,Divergence and Curl and their applications , vector identities .
• Vector integration - Line , Surface  and Volume integrals
• Vector integral theorems - Green's , Gauss and Stoke's theorem and their verifications .

Syllabus 

Introduction to multiple integrals : concept of plane and curve ,line integrals , sufficient condition for existance of line integrals , The area of a subset of R^2 ,Calculation of double integrals , jordan curve , area , change of order integration and change of variables , lengths of curve , surface areas , integral expression for the length of  a curve .

Vector Calculus ( Differentiation and Integration ) :Ordinary derivatives of vectors , space curves , continuity and differentiability . Gradeient , Divergence and curl operators - identities .Vector integral theorems , Green's , Gauss and Stoke's theorems and their verifications .

Learning out comes:

Student will

• Learn about the concept and how to define the  double integrals over the region R .
• How to evaluate the double integrals by changing the order of integration and by change of variable .
• Learn to calculate the double integrals in polar coordinates and Areas enclosed by the closed curves .
• How to evaluate the triple integrals over the volumes .
• Learn about the vector differentiation and integration and vector differential operator, Gradient ,Divergence and Curl and vector identities 
• Vector integration : Evaluation of Line integrals along the curves , surface interals over the surfaces and volume integrals over the volumes .
• vector integral theorems - Green's , Gauss and Stoke's theorems and their verifications.

BijMathIQ - Online Maths Tuitions - great advantages for students
1) Get tutoring from most experianced and efficient faculty.
2) Students can get unlimited access his live class session recording videos , until the completion of final exams .
3)Explanation of every concepts verious technologies like Geogebra ( Graphical presentations ) , Mathematics , MatLab ,SciLab and MSExcel (Probability & Statistics ) .
4) Take online test and report ,check and verify by accessing  the explanation video of his online test .
5) Covers the maximum number of problems on each topic.
6) Student can rise , ask and clarifies his doubts at the same time in the live class ( is also recorded in the video ).
7) Live chat box facility in liva class session
8) Web cam for the student is optional .
9) Hand written notes will be provided ( if required ) .
and many more ....
For further details please contact : 
+91 9490875895
Email Id : bijmathiq@gmail.com or admin@bijmathiq.com

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