paper1 - calculus


RESOURCES FOR FASTER COVERAGE OF SYLLABUS  :

REAL NUMBERS, FUNCTIONS OF A REAL VARIABLE, LIMITS, CONTINUITY, DIFFERENTIABILITY : MEAN-VALUE THEOREM, TAYLOR’S THEOREM WITH REMAINDERS, INDETERMINATE FORMS, MAXIMA AND MINIMA ,ASYMPTOTES CURVE TRACING : CHAPTER 1 OF JAIN / IYENGER

FUNCTIONS OF TWO OR THREE VARIABLES; LIMITS, CONTINUITY, PARTIAL DERIVATIVES, MAXIMA AND MINIMA, LAGRANGE’S METHOD OF MULTIPLIERS, JACOBIAN : CHAPTER 15 OF SC MALIK & CHAPTER 2 OF JAIN/ IYENGER

 RIEMANN’S DEFINITION OF DEFINITE INTEGRALS : CHAPTER 14 OF RAISINGHANIA

INDEFINITE INTEGRALS; INFINITE AND IMPROPER INTEGRAL :  CHAPTER1 OF JAIN/ IYENGER

DOUBLE AND TRIPLE INTEGRALS (EVALUATION TECHNIQUES ONLY); AREAS, SURFACE AND VOLUMES.: CHAPTER 2 OF JAIN/ IYENGER

PREPARING FOR SCORE OF 300 IN MATHS OPTIONAL : ADDITIONAL RESOURCES FOR PRACTICE ARE : 

ASYMPTOTES : CHAPTER 8 UNIT 1OF DIFFERENTIAL CALCULUS BY KRISHNA SERIES

INDETERMINATE FORMS : CHAPTER 5 UNIT 1 OF DIFFERENTIAL CALCULUS BY KRISHNA SERIES

CURVE TRACING : CHAPTER 6,7 UNIT 2 OF DIFFERENTIAL CALCULUS BY KRISHNA SERIES

MAXIMA & MINIMA OF ONE VARIABLE : CHAPTER 1 UNIT 2 OF DIFFERENTIAL CALCULUS BY KRISHNA SERIES

MAXIMA & MINIMA OF SEVERAL VARIABLE : CHAPTER 2,3 UNIT 2 OF DIFFERENTIAL CALCULUS BY KRISHNA SERIES

JACOBIAN : CHAPTER 5 UNIT 2 OF DIFFERENTIAL CALCULUS BY KRISHNA SERIES

INDEFINITE INTEGRALS; INFINITE AND IMPROPER INTEGRAL; CHAPTER16 OF RAISINGHANIA 

 DOUBLE AND TRIPLE INTEGRAL : CHAPTER3,4 OF ADVANCED INTEGRAL CALCULUS BY KRISHNA SERIES

AREA SURFACE AND VOLUME : CHAPTER 5 OF ADVANCED INTEGRAL CALCULUS BY KRISHNA SERIES 

 


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