,signum function ) May 1 2….Contd. Various operations on real valued function. SUMMER COLLECTION OF 25 DIFFERENT HOLIDAY TYPES OF PROBLEMS (10 SET ASSIGNMENT THEORY, 5 RELATION AND 10 FUNCTIONS) AND SOLVE THEM June 4 Trigonometry as periodic function, Students will be asked to write values various trigonometric identities functions Trigonometry functions of sum and on green board/smart board. difference of angles, Trigonometric equations and their principle and general solution. July 1 3… Contd. Sine and cosine rule. part) 2 4. Principle of Introduction, motivation, the Written test (5 problems from mathematical principle of mathematical induction sample papers/reference books) induction July 3 5. Complex Introduction, real and imaginary PRE MID-TERM ASSESSMENT[ number and numbers, standard form, modulus, Set theory, Relation and quadratic conjugate and multiplicative Function , trigonometry function equation inverse ] 3 5…. Contd. Algebra of complex numbers, Students will be divided in groups Argand plane, and polar and problems will be exchanged part. representation of complex mutually among groups and solve numbers, quadratic formulae and and check simultaneously. solution for discriminant less than zero. Square root of complex numbers. 4 6.Linear Introduction, inequalities, algebraic inequation and graphical solution of system of linear inequation in two variables. Aug 1 7. Fundamental principle of counting, permutation Factorial notation and properties & .permutation ( linear) , combination 1 7….contd. Combination, problems based on Each student will frame a permutation and combination. question based on the topic and will be solved by exchanging the questions with others, 2 8.Binomial Binomial expansion, r’th term of a Oral discussion about formula theorem binomial expansion (general term), used in expansion of higher middle term and term independent exponent. of variable. 3 9.Sequence Introduction, A.P, general terms, and series sum of n terms, sequence ,Fibonacci sequence, G.P , general terms and sum of n terms 4 9… contd. Sum of n terms of Special series, Students will be asked to write relation between A.M and G.M the formula for sum of first n natural numbers, sum of square and cube of n natural numbers.
,signum function ) May 1 2….Contd. Various operations on real valued function. SUMMER HOLIDAY ASSIGNMENT COLLECTION OF 25 DIFFERENT TYPES OF PROBLEMS (10 SET THEORY, 5 RELATION AND 10 FUNCTIONS) AND SOLVE THEM June 4 functions Trigonometry as periodic function, values Trigonometry functions of sum and difference of angles, Trigonometric equations and their principle and general solution. Students will be asked to write various trigonometric identities on green board/smart board. July 1 3… Contd. part) Sine and cosine rule. 2 4. Principle of mathematical induction Introduction, motivation, the principle of mathematical induction Written test (5 problems from sample papers/reference books) July 3 5. Complex number and quadratic equation Introduction, real and imaginary numbers, standard form, modulus, conjugate and multiplicative inverse PRE MID-TERM ASSESSMENT[ Set theory, Relation and Function , trigonometry function ] 3 5…. Contd. part. Algebra of complex numbers, Argand plane, and polar representation of complex numbers, quadratic formulae and solution for discriminant less than zero. Square root of complex numbers. Students will be divided in groups and problems will be exchanged mutually among groups and solve and check simultaneously. 4 6.Linear inequation Introduction, inequalities, algebraic and graphical solution of system of linear inequation in two variables. Aug 1 7. permutation & combination Fundamental principle of counting, Factorial notation and properties .permutation ( linear) , 1 7….contd. Combination, problems based on permutation and combination. Each student will frame a question based on the topic and will be solved by exchanging the questions with others, 2 8.Binomial theorem Binomial expansion, r’th term of a binomial expansion (general term), middle term and term independent of variable. Oral discussion about formula used in expansion of higher exponent. 3 9.Sequence and series Introduction, A.P, general terms, sum of n terms, sequence ,Fibonacci sequence, G.P , general terms and sum of n terms 4 9… contd. Sum of n terms of Special series, relation between A.M and G.M Students will be asked to write the formula for sum of first n natural numbers, sum of square and cube of n natural numbers.
WEEKLY-SYLLABUS-FOR-CLASS-XI-2017.docx