ENRICHMENT PROGRAMME FOR MATHEMATICS ( )

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1 ENRICHMENT PROGRAMME FOR MATHEMATICS ( )

2 CBSE BOARD PAPER ( ) 1 M 4 M 6M TOTAL RELATIONS & FUNCTIONS 1N 6 INVERSE TRIGONOMETRIC FUNCTIONS MATRICES & DETERMINANTS 1NB 1N 1EX 1N 4 1OS 1EX OR 1N (MIXED) 13 CONTINUITY & DIFFERENTIABILITY 1NB 1OS 8 APPLICATION OF DERIVATIVES 1EX 1N 10 INTEGRALS 1NB 1EX 1N 12 APPLICATION OF INTEGRALS 1NB 6 DIFFERENTIAL EQUATIONS VECTOR ALGEBRA 1N 1N 6 1EX THREE DIMENSIONAL GEOMETRY 1N 1N 1NB 11 PROBABILITY 1NB 1NB 10 LINEAR PROGRAMMING 1N 6 1NB 1NB 8 N (NCERT) - 37 MARKS NB (NCERT BASED) = 39 MARKS THEREFORE, TOTAL NCERT = 76 MARKS EX(EXEMPLAR) + OS (OUTSIDE/LOGICAL BASES ) = 24

3 SAMPLE PAPER ( ) CBSE BOARD PAPER ( ) 1 M 4 M 6 M TOTAL 1 M 4 M 6M TOTAL RELATIONS & FUNCTIONS 1 NB 1N 5 1N 6 INVERSE 1NB 1NB 5 1N 4 TRIGONOMETRI C FUNCTIONS MATRICES & DETERMINANTS 1NB 1N 1NB 1NB 13 1NB 1N 1EX 1OS 1EX OR 1N (MIXED) 13 CONTINUITY & DIFFERENTIABI LITY APPLICATION OF DERIVATIVES INTEGRALS 1OS 1NB 1NB 1N 1NB 1NB 1MD 1 NB 9 1NB 1OS 13 1EX 1N NB 1EX 1N 12 1NB 6 1NB 6 APPLICATION OF INTEGRALS DIFFERENTIAL 1N 8 1NB 8 EQUATIONS 1N 1NB VECTOR 1OS 6 1N 1N 6 ALGEBRA 1EX THREE 1N 1N 1NB 11 1N 1N 1NB 11 DIMENSIONAL GEOMETRY PROBABILITY 1NB 1N 10 1NB 1NB 10 8 LINEAR PROGRAMMING 1N 6 1N 6

6 5 LATEST CBSE SAMPLE PAPER ( ) SEC A(1 M) SEC B(2M) SEC C(4 M) SEC D(6 M) TOTAL RELATIONS & FUNCTIONS 1 N 1NB 1N CHOICE (OS) 5 INVERSE TRIGONOMETRIC FUNCTIONS 1N 5 MATRICES & DETERMINANTS 1N 1N(THEOREM) 1N 1N CHOICE (OS) 13 CONTINUITY & DIFFERENTIABILITY 1OS 1NB 1EX 9 APPLICATION OF DERIVATIVES 1OS INTEGRALS 1N 1N 1N 8 1N 1OS 13 APPLICATION OF INTEGRALS DIFFERENTIAL EQUATIONS 1NB 6 1OS 1N 8 VECTOR ALGEBRA 1N 1NB 1NB 6 THREE DIMENSIONAL GEOMETRY 1NB 1NB 11 PROBABILITY 1N 1N 1NB 10 LINEAR PROGRAMMING 1N 6

7 CBSE_SAMPLE_PAPER_ pdf

8 SAMPLE BLUE PRINT 1 1 M SEC A 2M SEC B 4 M SEC C 6 M SEC D TOTAL RELATIONS & FUNCTIONS 1 4 INVERSE TRIGONOMETRIC FUNCTIONS 1, MATRICES & DETERMINANTS 1, CONTINUITY & DIFFERENTIABILITY APPLICATION OF DERIVATIVES INTEGRALS 1 1, 1, 1 14 APPLICATION OF INTEGRALS 1 6 DIFFERENTIAL EQUATIONS 1 1, 1 10 VECTOR ALGEBRA THREE DIMENSIONAL GEOMETRY 1, PROBABILITY 1, LINEAR PROGRAMMING 1 6

9 SAMPLE BLUE PRINT 2 1 M SEC A 2M SEC B 4 M SEC C 6 M SEC D TOTAL RELATIONS & FUNCTIONS INVERSE TRIGONOMETRIC FUNCTIONS MATRICES & DETERMINANTS CONTINUITY & DIFFERENTIABILITY 1 4 APPLICATION OF DERIVATIVES 1, , 1 INTEGRALS APPLICATION OF INTEGRALS 1 6 DIFFERENTIAL EQUATIONS VECTOR ALGEBRA THREE DIMENSIONAL GEOMETRY PROBABILITY 1 1, 1 10 LINEAR PROGRAMMING 1 6

10 SAMPLE BLUE PRINT 3 1 M SEC A RELATIONS & FUNCTIONS 1, 1 INVERSE TRIGONOMETRIC FUNCTIONS 2M SEC B 4 M SEC C 6 M SEC D TOTAL MATRICES & DETERMINANTS CONTINUITY & DIFFERENTIABILITY 1 1, 1 10 APPLICATION OF DERIVATIVES INTEGRALS 1 1, 14 1, 1 APPLICATION OF INTEGRALS 1 4 DIFFERENTIAL EQUATIONS 1 6 VECTOR ALGEBRA 1 1, THREE DIMENSIONAL GEOMETRY PROBABILITY LINEAR PROGRAMMING 1 6

11 TOPICS THAT WILL BE DEFINITELY COVERED MARKS RELATIONS & FUNCTIONS INVERSE TRIGONOMETRIC FUNCTIONS FINDING INVERSE OF FUNCTION 4 OR 6 MATRICES & DETERMINANTS 1. PROPERTIES OF DETERMINANT 2. SOLUTION OF EQUATIONS (2 OR 3 VARIABLES) 4 OR 6 CONTINUITY & DIFFERENTIABILITY APPLICATION OF DERIVATIVES 1. MAXIMA / MINIMA 2. ANY ONE/TWO QUESTIONS FROM TANGENT&NORMAL OR RATE OF CHANGE OR INC/DEC OR APPROXIMATION INTEGRALS 1. BY PARTS 2. PARTIAL FRACTIONS 3. PROPERTIES OD DEFINITE INT APPLICATION OF INTEGRALS ONE QUESTION 6 DIFFERENTIAL EQUATIONS SOLUTION OF DIFFERENTIAL EQUATION (ANY OF VARIABLE SEPARABLE, HOMOGENEOUS, LINEAR) 6-8 VECTOR ALGEBRA THREE DIMENSIONAL GEOMETRY COMBINATION OF 2 OR 3 CONCEPTS TAKEN TOGETHER FROM BOTH LINES AND PLANES PROBABILITY 1. BAYES THEOREM 2. PROBABILITY DISTRIBUTION/BINOMIAL DISTRIBUTION 10 LINEAR PROGRAMMING ONE QUESTION 6

12 Detail of the concepts to be mastered by every child of class XII SYMBOLS USED * : Important Questions, **: Very Important Questions ***: Very-Very Important Questions

46 ERROR ANALYSIS IN PROBABILITY

47 Answer Sheet Of The Topper OF CBSE Examination(MATHEMATICS)

71 Hard work is the only key to success. You can t reach the top without climbing all the steps of the ladder. steps FOR PREPARATION OF MATHEMATICS Always keep a copy of the latest CBSE syllabus and question paper design with you. Give extra attention to topics with higher weightage of marks. Mathematics is not meant to be mugged up. After learning a formula/concept, try to attempt a good number of questions based on it and it will get memorized. Make a sheet of important concepts/formulae and paste it near your study table for continuous revision. Don t panic if you commit mistakes during the preparation phase. This will help you identify your weak areas so that you are not found wanting on the exam day.

72 Hard work is the only key to success. You can t reach the top without climbing all the steps of the ladder. steps FOR PREPARATION OF MATHEMATICS work on your fundamentals. Firm groundwork can help score excellent marks. Don t start a new topic at the last minute. Revise the topics which you have already completed. Try to solve prev. years CBSE board & sample papers. FOLLOW THE DICTUM MORE THE PRACTICE, BETTER THE RESULT.

73 Thank you

Math 121 Calculus 1 Fall 2009 Outcomes List for Final Exam

Math 121 Calculus 1 Fall 2009 Outcomes List for Final Exam This outcomes list summarizes what skills and knowledge you should have reviewed and/or acquired during this entire quarter in Math 121, and what