# 12 Old Batch 2020-2021 ISB

65 STUDENTS ENROLLED
• • • • • • ### Course Curriculum

 Matrices 2020-2021 Matrices and determinants (lecture 1) 00:21:00 Matrices addition and subtraction (lecture 2) 00:22:00 Multiplication of matrices (lecture 4) 00:24:00 Some important questions (lecture 4) 00:26:00 To split a matrix into two parts symmetric + skew symmetric (lecture 3) 00:09:00 Inverse of matrix using row transforms 2×2 (lecture7) 00:33:00 Inverse using adjoint method (lecture 6) 00:10:00 Word problems in matrices (lecture 8) 00:10:00 Matrices How to multiply two matrices 00:18:00 How Matrix multiplication is actually used in industry 00:08:00 Word problems in matrix multiplication(lecture 5) 00:06:00 HOW to find inverse of a matrix using ADJOINT METHOD(lecture6) FREE 00:14:00 Transforming matrices 00:18:00 How to find inverse of a matrix using Row transforms(lecture 8) 00:14:00 Computer graphics and transforms using matrices. Interesting but not in the CBSE COURSE 👇👇 00:18:00 Word problems 00:12:00 Computer graphics using transforming matrices 00:18:00 Determinants (2020-2021) Determinants basics (lecture 1) 00:14:00 Properties of determinants (lecture 2) 00:21:00 Determinants ex 4.2 (1 to 5) (lecture 3) 00:11:00 Properties of determinants page 120 6,7,8 00:09:00 Relations and functions(2020 -2021 batch ) Relations and functions (lecture 1) 00:34:00 Relations and functions (lecture 2) 00:10:00 Relations and functions (lecture 2a) 00:14:00 Relations and functions (lecture 2b) 00:06:00 Relations and functions (lecture 2c) 00:08:00 Relations and functions (lecture 3) 00:03:00 Relations and functions (one one and onto) (lecture 4) 00:10:00 Relations and functions (lecture 5) 00:18:00 Relations & Functions Basics of relations and functions (lecture 1) 00:32:00 Relations & Functions (Lecture 2) 00:13:00 Relations and functions (lecture 2-a) 00:20:00 practice material Ex 1.2 questions 3 and 8 00:07:00 Relations functions page 19 ex 11 12 00:05:00 Inverse Trigonometric Functions 2020-2021 Lecture 1 inverse trigonometric functions 00:14:00 Lecture 2 inverse trigonometric functions 00:30:00 Lecture 3 inverse trigonometric functions 00:10:00 Two hard questions from NMS paper 00:10:00 Limits continuity and differentiability Concept of limits and continuity 00:16:00 Limits and derivatives (lecture 1) 00:16:00 Lecture 2 limits 00:11:00 Left hand and right hand limits 00:06:00 Derivatives Derivatives 1 00:16:00 How to take the derivative 00:16:00 Some questions on derivatives 00:15:00 Higher order question from the text book (please go through the solution) 00:10:00 Derivatives of composite functions (chain rule ) 00:45:00 Why do we use derivatives in physics 00:15:00 Higher order questions in derivatives 00:00:00 Derivatives of implicit functions 00:45:00 Derivatives (important questions for terminal exam) 00:25:00 Derivatives of inverse trigonometric functions 00:20:00 Derivatives of logarithmic functions 00:45:00 Derivatives of parametric functions 00:45:00 Derivatives of one function with respect to other function 00:13:00 Second order derivatives (Important questions) 00:30:00 Three important questions on derivatives 00:12:00 Derivatives summary 00:25:00 Derivatives Assignment questions (past years higher order questions) 00:20:00 Ultimate practice book on derivatives 00:00:00 Applications of derivatives Rate of change of quantities 00:25:00 Lecture 1 increasing and decreasing functions 00:17:00 Lecture 2 on increasing decreasing functions(how to take intervals) 00:20:00 Lecture 4 increasing decreasing continued 00:11:00 Lecture 3 Increasing decreasing of trigonometric functions 00:15:00 Important questions on Increasing and decreasing functions and rate of change 00:08:00 Tangents and normals (lecture 1) 00:14:00 Tangents and normals (lecture 2) 00:15:00 Tangents normals (lecture 3) 00:17:00 Tangents and normals (lecture 4) 00:11:00 Lecture 1 on APPROXIMATIONS 00:16:00 Lecture 2 on approximations 00:16:00 ROLLES theorem 00:17:00 The mean value theorem 00:14:00 Maxima and minima (lecture 1) 00:15:00 Maxima and minima (lecture 2) 00:17:00 Maxima and minima (lecture 3) 00:00:00 Maxima and minima (lecture 4) 00:13:00 First derivative test for finding maxima or minima 00:13:00 Integration Integration (basics) 00:02:00 integration 1 00:14:00 Integration 2 00:15:00 Integration lecture 3 ( 13 to 22) 00:07:00 Integration by substitution (lecture 4) 00:12:00 Integration miscellaneous exercise 00:00:00 Integration doubts for 2020 board exam 00:05:00 Quick integration (part 1) 00:16:00 Quick integration 2 00:00:00 Integration doubts 00:03:00 Misc examples on integration 00:13:00 Integration product rule doubt 00:03:00 Definite integrals Definite integrals lecture 1 00:20:00 Definite integrals lecture 2 ex 7.9 00:13:00 Definite integrals Property 00:12:00 Properties of definite lntegrals (old even function) 00:12:00 Definite integrals lecture (very important questions) 00:12:00 Area under a curve (application of integration ) Area under curve (lecture 1) 00:13:00 Area between parabola and line and two parabolas(lecture 2) 00:14:00 Area between circle and line passing through origin(lecture 3) 00:14:00 Area bounded by two circles(lecture 4) 00:00:00 Area under curve lecture (ellipse and line lecture 5) 00:13:00 Area and inequalities (lecture 6) 00:09:00 Area Higher order question (area under a curve lecture 7) 00:14:00 Differential equations DIFFERENTIAL EQUATIONS ( order degree linear) lecture 1 00:09:00 Lecture 2 forming a differential equation 00:14:00 Lecture 3 solving by separating variables 00:08:00 Lecture 4 Solving homogenous differential equations 00:21:00 Lecture 5 Homogenous differential equations continued 00:00:00 Lecture 6 Linear differential equations new 00:09:00 Lecture 7 Solving linear differential equations 00:10:00 Forming a differential equation ( little different question) 00:08:00 Linear programming linear programming lecture 1 00:16:00 Lecture 2 of linear programming 00:12:00 linear programming lecture 3 00:10:00 Linear programming (aeroplane question) lecture 4 00:08:00 Linear programming manufacturing problem 00:10:00 Probability Probability lecture 1( class 11 concepts) 00:15:00 Probability lecture 2( class 11 concept) 00:12:00 Probability lecture 3 addition theorem(class 11 concept ) 00:11:00 Probability Lecture 4( at least 1 concept) 00:06:00 Probability lecture 5( De Morgan’s law) 00:11:00 Probability lecture 6(Conditional probability 00:05:00 Probability lecture 7 (Independent events) 00:08:00 Probability lecture 8 (Total probability rule) 00:12:00 Probability lecture 9 (Baye’s theorem on probability) 00:06:00 Probability lecture 10 distributions 00:12:00 Board exam 2021 practice materials and assignments Board exam practice 1 (tangents normals and increasing decreasing) 00:03:00 Board exam practice on probability 00:00:00 Inverse trigonometric functions revised for 2020-2021 board exam 00:07:00 Limits Continuity and Differentiability(overall view) 00:00:00 Maxima Minima Board exam questions assignment 00:08:00 Matrices and determinants assignment for board exam2021 00:00:00 Vectors Vector 1 00:12:00 Vector 2 00:13:00 Vector 3 00:08:00 Vector 4 00:09:00 VECTOR PRODUCT 00:38:00 Important questions in vectors 1 00:23:00 Important question on vectors 2 00:00:00 Important question on vectors 4 00:08:00 Scalar triple product( not there for 2020-2021) 00:13:00 Vectors all exercise questions from text 00:00:00 CBSE sample papers 2021 CBSE sample question paper 2021 analyzed 00:05:00 One mark questions from the latest sample paper 2021 00:00:00 3D geometry 3 d geometry ( lecture 1 basics direction cosines ratios) 00:21:00 3 d geometry straight lines ( 5 points) 00:20:00 3 D geometry planes (basic problem solving ) 00:20:00 3 d geometry shortest distance between two lines 00:00:00 3 D geometry solutions to ex 11.1 and ex 11.2 00:00:00 3 D geometry (part 2)ex 11.3 and Misc 00:00:00 Solutions to NCERT exercises Chapters 1 and 2 relations functions inverse trigonometric functions solutions 00:00:00 Derivatives NCERT questions ex 5.1 to misc 00:00:00 Answers to the test held on Jan 22 00:17:00 Answers to Test on Jan 29 00:00:00 Doubts asked by students for 2021 exam 00:00:00

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