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Vineet Loomba

Videos & Materials

Matrices & Determinants - Part I : Algebra of Matrices and Special Matrices

Matrices & Determinants - Part II : Properties of Determinants

Matrices & Determinants - Part VIII & Doubt Clearing

Matrices & Determinants - Part III :Properties of Determinants

Matrices & Determinants - Part IV : Properties of Determinants

Matrices & Determinants - Part V & Doubt Clearing Session

Matrices & Determinants - Part VI :Adjoint and System of Linear Equations

Matrices & Determinants - Part VII: Characteristic Equations and Cayley Hamilton Theorem

Matrices & Determinants - Part IX Miscellaneous

Matrices & Determinants - Part X Miscellaneous Determinants

Matrices & Determinants - Part XI PYQs

Definitions and Algebra of Events

Different Types of Events and Axiomatic Approach to Probability

Classical Definition of Probability and Conditional Probability

Bayes theorem and Total Probability Theorem & Doubt Clearing

Binomial Distribution and Bernoulli's Trials

Statistical Tree Diagram and Practical use of Probability

Miscellaneous & PYQs on Probability - I

Miscellaneous & PYQs on Probability - II & Doubt Clearing

Concept and Algebra of Limits

Methods of Evaluation of Limits - Part I

Methods of Evaluation of Limits - Part II

L'Hopital Rule and Sandwich Theorem & Doubt Clearing

Miscellaneous Concepts in Limits

Continuity of Functions

Types of Discontinuities

Theorems on Continuity of Functions and & Doubt Clearing

Differentiability of a Function

Differentiability in an Interval and Theorems

Differentiability and Continuity

Methods of Differentiation - Part I & Doubt Clearing

Methods of Differentiation - Part II

Rolle's Theorem and LMVT

Miscellaneous Problems and PYQs - Part I

Miscellaneous Problems and PYQs - Part II & Doubt Clearing

Elementary Integration

Substitution Method of Integration

Integration of Standard Functions

Integration by Partial Fractions & Doubt Clearing

Integration by Parts

Miscellaneous Integrals

Definite Integration - Concept

Properties of Definite Integrals & Doubt Clearing

Definite Integration of Even Odd & Periodic Functions

Leibnitz Rule and Walli's Theorem

Definite Integral as Limit of Sum

Reduction Formula & Miscellaneous Integrals & Doubt Clearing

Applications of Integrals- Introduction

Area Bounded Between Curves

Problems Based on Area Under Curves

Area Under Curves-Conclusion & Doubt Clearing

Miscellaneous Concepts in Applications of Integrals

Differential Equations-Degree and order

Formation and Solutions of Differential Equations

Variable Separable Form & Homogeneous Equations

Linear Differential Equation & Doubt Clearing

Exact Differential Equations and Word Problems

Miscellaneous Problems and Doubt Clearing

Introduction and Rate Measure

Monotonicity of a Function

Problems on Monotonicity

Tangents and Normals & Doubt Clearing

Problems on Tangents and Normals

Maxima Minima and Tests

Inflection Points and Concavity

Cubic Polynomials and Graph Plotting & Doubt Clearing

Problems on Maxima Minima

Miscellaneous Problems - Part I

Miscellaneous Problems - Part II

Concluding Differential Calculus

Vectors - Types and Algebra

Dot Product and Cross Product of Vectors

4 Vector Scalar and vector product & Reciprocal system of vectors

Linear Dependence and Independence of Vectors

Miscellaneous Topics on Vectors & Doubt Clearing

Equation of Straight Lines in 3D

Foot of Perpendicular and Shortest Distance Between skew lines

Equations of Planes in Different Forms

Image of a point and Family of Planes

Perpendicular Distances and Asymmetric Form & Doubt Clearing

Basics of Relations

Functions

Domain of a Function

Range of a Function & Doubt Clearing

Graphs and Graph Transformations

Important Graphs

Miscellaneous Concepts in Calculus & Doubt Clearing

Orientation Session

Orientation

Relations and Types of Relations

Functions - Domain and Range

Functions - Types of Functions

Functions - Modulus Functions & Doubt Clearing

Functions - Greatest Integer and Fractional Part

Functions - Exponential and Logarithmic Functions

Even Odd Functions

Periodic Functions & Doubt Clearing

Composite Functions and Inverse Functions

Functional Equations

Advanced Graph Trasnformations

Relations and Functions Previous Year Problems & Doubt Clearing

Inverse Trigonometric Functions - Concept

Properties of ITF

ITF Equations and Inequations

Inverse Trigonometric Functions - Miscellaneous

Inverse Trigonometry Previous Year Problems & Doubt Clearing

Integration - Part I

Integration - Part II

Integration - Part III

Integration - Part IV & Doubt Clearing

Area Under Curves

Differential Equations - Part I

Differential Equations - Part II

Differential Equations - Part III & Doubt Clearing

Functions & ITF - Part I

Functions & ITF - Part II

Functions ITF - Part III

Limits, Continuity, Differentiability - Part I & Doubt Clearing

Applications of Derivatives - Part I

Limits, Continuity, Differentiability - Part II

Limits, Continuity, Differentiability - Part III

Applications of Derivatives - Part II & Doubt Clearing

Permutation Combinations

Sequences Series

Trigonometry

Binomial Theorem & Doubt Clearing

Quadratic Equations

Probability - Part I

Probability - Part II

Vectors and 3D Geometry & Doubt Clearing

Integration

Area under Curves

Differential Equations

Complex Numbers

Matrices Determinants - Part I

Matrices Determinants - Part II & Doubt Clearing

Complex Numbers

Straight Lines & Circles

Conic Section

Matrices Determinants

Trigonometry

Permutations Combinations

Binomial Theorem

Probability

Sequences Series

Relations, Functions, ITF

Limits, Continuity, Differentiability

MOD and AOD

Integration

Area under Curves and Differential Equations

Quadratic Equations and Statistics

Vectors & 3D Geometry