JAM BOOSTER Mathematics (2021)

Eduncle
IIT JAM
58

This Course is designed and developed by a team of Highly Experienced and Qualified Faculties. It covers entire Syllabus and promise to make Student full prepared to give IIT JAM Exam with confidence.

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  • COD is also available
 
 

Highlight Section

  • Detailed Theory to Leave no Doubt
  • Complete Syllabus Covered
  • Easy to Understand Format
  • Highly Experienced and Qualified Faculty
  • Result Oriented Study Material

Description

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Course Structure

The Curriculum Section of this Course covers the following Content :

3 Theory Books with Online learning access:
  • 3 Theory Books for Mathematics consisting of 15 units

Module: JAM THEORETICAL COURSE - Mathematics (MA)

  • Subject: Mathematics (MA)
    • Section 1: Unit - 1 (Sequences of Real Numbers)

        Attachments 1: Introduction

        Attachments 2: Real Sequence

        Attachments 3: Range of a Sequence

        Attachments 4: Bounded and Monotone Sequences

        Attachments 5: Limit point of a sequence

        Attachments 6: Bolzano-Weierstrass Theorem

        Attachments 7: Limit of a sequence

        Attachments 8: Limit superior and limit inferior of Sequence

        Attachments 9: Convergent and Divergent Sequence

        Attachments 10: Algebra of Convergent Sequences

        Attachments 11: Subsequence

        Attachments 12: Cauchy Sequence

    • Section 2: Unit - 2 (Series of Real Numbers)

        Attachments 1: introduction (Series of real numbers)

        Attachments 2: Tests of Convergence of Series

        Attachments 3: Cauchys condensation test

        Attachments 4: Alternating Series

        Attachments 5: Absolute and conditional convergence

        Attachments 6: Convergence of the Infinite Integral

    • Section 3: Unit - 3 (Ponit Set Topology)

        Attachments 1: Some Basic Definitions

        Attachments 2: Bounded Set

        Attachments 3: Completeness of R

        Attachments 4: Limit Points

        Attachments 5: The Archimedean Property of Real Numbers

        Attachments 6: Intervals

        Attachments 7: Open and Closed Sets

        Attachments 8: Interior and Exterior of a set

        Attachments 9: Compactness

        Attachments 10: Connectedness

        Attachments 11: Power Series

    • Section 4: Unit - 4 (Functions of One Variable-I)

        Attachments 1: Introduction

        Attachments 2: Bounded function

        Attachments 3: Limit of a Function of one variable

        Attachments 4: Monotonic Functions

        Attachments 5: Continuous Functions of one variable

        Attachments 6: Differentiability of a Function of one variable

        Attachments 7: Intermediate value property

    • Section 5: Unit - 5 (Functions of One Variable-II)

        Attachments 1: Rolle’s Theorem

        Attachments 2: Mean Value Theorem

        Attachments 3: Taylor’s theorem

        Attachments 4: Maxima and Minima of one variable

        Attachments 5: Indeterminate Forms And L Hospitals Rule

    • Section 6: Unit - 6 (Functions of Two or Three Real Variables)

        Attachments 1: Introduction

        Attachments 2: Limit of a Function of Two Variables

        Attachments 3: Continuity of a Function of two Variables

        Attachments 4: Partial Derivatives

        Attachments 5: Differentiability of two Variables

        Attachments 6: Maxima and Minima of Functions of two variables

        Attachments 7: Function of Three Variables

        Attachments 8: Method of Lagrange Multiplier

    • Section 7: Unit - 7 (Basic Integration)

        Attachments 1: Antiderivatives - differentiation in reverse

        Attachments 2: definite integrals and their properties

    • Section 8: Unit - 8 Integral Calculus

        Attachments 1: Differentiation Under the Integral Sign

        Attachments 2: Fundamental Theorem of Calculus

        Attachments 3: Double integral

        Attachments 4: Change of order of Integration

        Attachments 5: Triple Integrals

        Attachments 6: Surface Area

        Attachments 7: Evaluation of Volumes

    • Section 9: Unit - 9 (Vector Calculus)

        Attachments 1: Scalar and vector

        Attachments 2: Vector function of a single Scalar variable

        Attachments 3: Gradient of a Scalar Point Function

        Attachments 4: Divergence of a Vector Point Function

        Attachments 5: Curl of a Vector Point Function

        Attachments 6: Line Integral

        Attachments 7: Surface Area and Surface Integrals

        Attachments 8: Volume Integral

        Attachments 9: Gauss’s Divergence Theorem

        Attachments 10: Stoke’s Theorem

        Attachments 11: Green’s Theorem

    • Section 10: Unit - 10 (Differential Equations-I)

        Attachments 1: Differential Equations

        Attachments 2: Cauchys problem

        Attachments 3: Exact equation and its solution by insepection

        Attachments 4: Integrating factors

        Attachments 5: Linear Equation

        Attachments 6: Equation reducible to linear form or Bernoullis equation

        Attachments 7: Orthogonal and Oblique Trajectories

    • Section 11: Unit - 11 (Differential Equations-II)

        Attachments 1: Introduction

        Attachments 2: Homogeneous differential equations

        Attachments 3: Cauchy-Euler Equation

        Attachments 4: Linear Equations of Second Order with Variable Coefficients

        Attachments 5: Method of Variation of Parameters

    • Section 12: Unit - 12 (Group Theory)

        Attachments 1: Preliminaries

        Attachments 2: Group

        Attachments 3: Abelian Group

        Attachments 4: Non-Abelian Group

        Attachments 5: Subgroup

        Attachments 6: Normal Subgroup

        Attachments 7: Cyclic Groups

        Attachments 8: Permutation

        Attachments 9: Dihedral Group

        Attachments 10: Cosets

        Attachments 11: Lagrange’s Theorem and Consequences

        Attachments 12: Morphism

        Attachments 13: Group Homomorphism

        Attachments 14: Factor Groups

        Attachments 15: Group Action

    • Section 13: Unit - 13 Vector Space and Linear Transformation)

        Attachments 1: Vector Spaces

        Attachments 2: Linear Combination

        Attachments 3: Spanning Set

        Attachments 4: Subspaces

        Attachments 5: Linear Dependence and Independence

        Attachments 6: Basis and Dimension

        Attachments 7: Linear Transformation

        Attachments 8: Vector Space Isomorphism

        Attachments 9: Kernel and Image of a Linear Mapping

        Attachments 10: Rank and Nullity of a Linear Mapping

        Attachments 11: Rank-Nullity Theorem

    • Section 14: Unit - 14 (Matrices and Determinants)

        Attachments 1: Matrices

        Attachments 2: Rank of Matrix

        Attachments 3: Inverse of a Matrix

        Attachments 4: Determinants

    • Section 15: Unit - 15 (System of Linear Equations and Eigen Values and Eigen Vectors)

        Attachments 1: System of Linear Equations

        Attachments 2: Consistent and In-Consistent Non-Homogeneous Linear Equations

        Attachments 3: Eigen Values and Eigen Vectors

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Review & Ratings

Average Rating

4.6

7 Ratings

Detail Rating

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Mohan



it is very use full for average students like me . Eduncle doing wonderful job .the theory content is very short and easy to understand every students. it is enough to crack the IIt jam.


afsha



The notes are helpful in giving good insight


Tejaswi Nilkanth Pokale



Nice Study Material


tauqir



I found the study material very helpful, it covers almost all the topics of iit jam Mathematics. Thanks to eduncle and its faculty


Tarun



its online study material has comprehensive notes covering the entire syllabus


Tanushree



I got confidence and faith in myself for clearing IIT JAM only after I study this material.


Tantumita Das



The course covers each topic in detail


Dibyanshu



Awesome


 
 
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