Algebra-2 : Course in Mathematics for the IIT-JEE and Other Engineering Entrance Examinations

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Course in Mathematics: A Lecture-wise Approach is a complete resource that is designed to help students master mathematics for the coveted IIT-JEE, AIEEE, state-level engineering entrance exams and all other state senior secondary exams, in addition to the AISSSCE. This meticulously crafted and designed series reflects the command and authority of the authors on the subject. The series adopts an easy step-by-step approach to make learning mathematics at the senior secondary level a joyful experience. Key Features Adopts a well-defined, meticulously planned and smartly structured learning approach. Includes lecture-wise tests that help revise each completed lecture. Contains Speed Accuracy Sheets that improve the speed and accuracy of students and help them revise key concepts. Provides innovative tips and tricks that are easy to apply and remember. Includes solved Topic-Wise Question Banks to enhance the comprehension and application of concepts. Table Of Contents PART A DETERMINANTS Lecture 1 Fundamental Properties of Determinants Lecture 2 Some More Properties of Determinants Lecture 3 Applications of Determinants Lecture 4 Applications of Determinants (Cramer’s Rule) Lecture 5 Miscellaneous Questions (Mainly for preparation of IIT JEE) Lecture 6 Test Your Skills PART B PROBABILITY Lecture 1 Basic Terms in Probability, Its Classical Definition Lecture 2 Theorems of Probability Lecture 3 Conditional Probability and Binomial Distribution Lecture 4 Probability Distribution, Baye’s Theorem Lecture 5 Test Your Skills PART C PERMUTATION AND COMBINATION Lecture 1 Permutation and Combination-1 (Factorial, Elementary Problem on nPr and nCr) Lecture 2 Permutation and Combination-2 (Fundamental Principle of Counting, Definition of Permutation, Permutation with Restriction, Derangement, Circular Permutation) Lecture 3 Permutation and Combination-3 (Permutation of Numbers (Including Zero or Non-Zero) Sum of Numbers Formed by Permutation of Digits of Given Number) Lecture 4 Permutation and Combination-4 (Definition of Combination, Basic Problems, Problems Containing Restriction, Selection of One or More Things, Division Into Groups) Lecture 5 Permutation and Combination-5 (Problem Based on Geometry, Concept of Divisors, Rank of Word) Lecture 6 Test Your Skills PART D MATRICES Lecture 1 Matrix-1 (Before Matrix Product) Lecture 2 Matrix-2 (Multiplication of Matrices) Lecture 3 Matrix-3 (Transpose Symmetric and Adjoint of a Square Matrix) Lecture 4 Matrix-4 (Inverse of a Square Matrix, Solution of System of Linear Equation Using Matrix Method) Lecture 5 Matrix-5 (Elementary Operations (Transformation) of a Matrix and Word Problems for Academic Purpose) Lecture 6 Test Your Skills