IIT JAM MATHS

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$10500
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Price: INR 10500

Course Description

IIT JAM MATHS is jointly conducted by IITs and IISc for admission into their two year M.Sc maths,Integrated M.Sc PhD,M.Sc-PhD dual degree and joint M.Sc PhD degree courses.Off late IIT JAM MATHS score has benchmark for admission into other colleges and universities like IISERs,NITs etc.TRAJECTORY EDUCATION has developed a comprehensive integrated classroom course for training students for IIT JAM and other M.Sc entrance exams like ISI,TIFR,CMI,BHU,DU etc. The topics covered in this course are:

  • Integral Calculus
  • Differential Calculus
  • Differential Equations
  • Vector Calculus
  • Linear Algebra
  • Group Theory
  • Real Analysis

1. IIT JAM MATHS SYLLABUS

Course Content

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DOUBLE INTEGRAL
BETA AND GAMMA FUNCTION
VOLUME
SURFACE AREA
LIMITS
CONTINUITY
DIFFERENTIABILITY
APPLICATION OF DERIVATIVES
MEAN VALUE THEOREM
Part B: FUNCTION OF TWO VARIABLES
INTRODUCTION
DIFFERENTIAL EQUATIONS OF FIRST ORDER AND FIRST DEGREE
ORTHOGONAL TRAJECTORY
DIFFERENTIAL EQUATION WITH CONSTANT COEFFICIENTS
CAUCHY EULER EQUATIONS
DIFFERENTIAL EQUATION OF SECOND ORDER
Section 5: LINEAR ALGEBRA
VECTOR SPACE AND LINEAR EQUATIONS
ORTHOGONALITY
EIGENVALUES AND EIGENVECTORS
Properties of Eigenvalues 1 Topic
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Cayley Hamilton Equation 1 Topic
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Similar Matrices 1 Topic
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LINEAR TRANSFORMATION
Section 6: GROUP THEORY
Cayley Table 1 Topic
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Unit Group 1 Topic
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Group of Matrices 1 Topic
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Dihedral Groups 1 Topic Sample Lesson
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Problems on Groups 1 Topic
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CYCLIC GROUP
PERMUTATION GROUP
ISOMORPHISM OF GROUPS
EXTRNAL DIRECT PRODUCT
HOMOMORPHISM OF GROUP
SET THEORY
Countability of Sets 1 Topic
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REAL NUMBERS
TOPOLOGY ON REAL LINE
Closed Sets 1 Topic
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REAL SEQUENCES
Cauchy Theorems on Limits 1 Topic
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Subsequence 1 Topic
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Cauchy Sequence 1 Topic
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INFINITE SERIES
Alternating Series 1 Topic
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POWER SERIES
Power Series 1 Topic
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