Data Structures and Algorithms

Arrays : Popular Sorting and Searching Algorithms

Sorting and Searching Bubble Sort Insertion Sort Selection Sort Shell Sort Merge Sort Quick Sort Heap Sort Basic Linear and Self Referential Data Structures  Stacks Queues Single Linked List Double Linked List Circular Linked List  Search Trees Binary Search Trees  Heaps Height Balanced Trees  Graph Algorithms Depth First Search  Breadth First Search  Minimum Spanning Trees: Kruskal Algorithm  Minumum Spanning Trees: Prim's Algorithm Dijkstra Algorithm for Shortest Paths  Floyd Warshall Algorithm for Shortest Paths Bellman Ford Algorithm

Popular Algorithms in Dynamic Programming Dynamic Programming Integer Knapsack problem Matrix Chain Multiplication Longest Common Subsequence  Greedy Algorithms  Elementary cases : Fractional Knapsack Problem, Task Scheduling - Data Compression using Huffman Trees

Commonly Asked Programming Interview Questions - from Microsoft/Google/Facebook/Amazon interviews

Functional Programming Principles and Techniques

Databases - A Quick Introduction To SQL - Sample Queries demonstrating common commands

Introduction to SQL- A few sample queries - A Case Study - Coming up with a Schema for Tables -Taking a look at how the schema for a database table is defined, how different fields require to be defined. Starting with a simple "case study" on which the following SQL tutorials will be based.	Introduction to SQL- A few sample queries : Creating Tables (CREATE)   Creating tables, defining the type and size of the fields that go into it.	Introduction to SQL - A few sample queries : Making Select Queries   Elementary database queries - using the select statement, adding conditions and clauses to it to retrieve information stored in a database.	Introduction to SQL - A few sample queries : Insert, Delete, Update, Drop, Truncate, Alter Operation Example of SQL commands which are commonly used to modify database tables.
Introduction to SQL - A few sample queries: Important operators - Like, Distinct, Inequality, Union, Null, Join, Top  Other Important SQL operators.	Introduction to SQL- A few sample queries: Aggregate Functions - Sum, Max, Min, Avg - Aggregate functions to extract numerical features about the data.

Introduction To Networking 

Introduction to Basic Digital Image Processing Filters

Mathematics 

High School: Review of Basics

Factors Factorial Fibonacci Numbers Rhombus Prime Numbers Squares Lucas Numbers Padovan Numbers Triangular Numbers Pentagonal Numbers Hexagonal Numbers Stern Diatomic Numbers Lazy Carter Numbers Geometry: Congruent Triangles Geometry: Similar Triangles Geometry: Pythagorean Theorem, Pythagorean Triplets and Applications Mensuration for Squares Mensuration for Rectangle Mensuration for  a Rhombus Mensuration of a Cube Mensuration of a Sphere Mensuration of a Cone: Volume, Total Surface Area and Frustums Mensuration of a Cylinder: Volume, Total Surface Area, Hollow Cylinders Mensuration of a Rectangular Prism (Cuboid): Volume, Total Surface Area, Hollow Rectangular Prisms/Cuboids Co-Ordinate Geometry: The Distance Formula. Distance between Two Points Co-Ordinate Geometry: The Midpoint Formula Co-ordinate Geometry: Basic Reflection of Points in X, Y Axis and the line y=x Evaluating Expressions Part 1 Evaluating Expressions Part 2 Set Theory 1: Examples of Cardinal Number, Union and Intersection of Sets Set Theory 2: Difference and Symmetric Difference of Two Sets Set Theory 3: Cartesian Product of Two Sets Triangles: The Triangular Inequality Mensuration of a Circle: Area and Circumference Polygons Factorizing Quadratic Expressions By Splitting the Middle Terms Compound Interest

Algebra

Evaluating Expressions Part 1 Evaluating Expressions Part 2 Polynomial Expressions and The Remainder Theorem Factorizing Quadratic Expressions By Splitting the Middle Terms Introduction to Complex Numbers  Series and Progressions  Mathematical Induction   Quadratic Equations Quadratic Inequalities   Graphs of Cubic Polynomials  Graphs of Quartic Polynomial Functions Numerical Analysis Examples: Graph of Quadratic Function/Solving Quadratic Equation for (a=-2,b=-20,c=-30) Graph of Quadratic Function/Solving Quadratic Equation for (a=-2,b=-20,c=-20) Graph of Quadratic Function/Solving Quadratic Equation for (a=-2,b=-20,c=-10) Graph plot of Cubic Polynomial Function Curve/Cubic Equation for zeros, roots (-20,-20,-20) Graph plot of Cubic Polynomial Function Curve/Cubic Equation for zeros, roots (-20,-20,-14) Graph plot of Cubic Polynomial Function Curve/Cubic Equation for zeros, roots (-20,-20,-8) Graph of a Quartic Function with zeros at (-15,-20,-20,-5) Graph of a Quartic Function with zeros at (-15,-20,-20,-2) Graph of a Quartic Function with zeros at (-15,-20,-20,1)

Geometry

Geometry

Co-ordinate Geometry

Introduction to Co-ordinate Geometry   The Equation of Straight  Line Circle Introduction to Conic Sections ParabolaHyperbola Ellipse

Probability

Probability: Part 0 - An Introduction with examples - Conditional, Compound Probability; Random Variables; Baye's Theorem Probability: Part 1 - Some Definitions with A Solved Problem Set- Continuous and Discrete Random Variables, Chebyshev Inequality Probability: Part 2-  Distributions- Discrete and Continuous- Bernouilli/Binomial/Geometric/Uniform/Exponential/Gamma, etc. Probability - Part 3 - Joint Probability, Bivariate Normal Distributions, Functions of Random Variable,Transformation of Random Vectors - with examples, problems and solutions

Linear Algebra

Linear Algebra - Matrices Part I - A Tutorial with Examples Linear Algerba - Matrices Part II - A Tutorial with Examples, Problems and Solutions  Linear Algebra - Determinants - A Tutorial with Examples, Problems and Solutions Linear Algebra - Simultaneous Equations in Multiple Variables - A Tutorial with Examples and Problems  Basic Concepts In Linear Algebra and Vector Spaces - A Tutorial with Examples and Solved Problems Linear Algebra - Introductory Problems Related to Vector Spaces Linear Algebra - More about Vector Spaces  Linear Algebra - Linear Transformations, Operators and Maps  Linear Algebra - Eigenvalues, Eigenvectors and Cayley Hamilton Theorem Linear Algebra - Problems Based on Simultaneous Equations, Eigenvalues, Eigenvectors Linear Algebra - A few closing problems in Recurrence Relations

Vectors

 Introduction to Vectors - Zero Vectors, Unit Vectors, Coinitial , Collinear, Equal Vectors, Addition and Subtraction of Vectors, Scalar and Vector Multiplication 

Vectors: Introductory Problems and Examples - Related to products, properties of vectors, proving geometric properties using vectors. 

Applying Vectors to Geometric Problems - Parametric Vectorial equation of a line and Plane, 

Condition for collinearity of three points, Shortest distance between two lines, Perpendicular distance of a point from a plane or line, Angles between lines and planes 

Vector Applications in 2D and 3D Geometry: Solved Problems and Examples - Shortest and Perpendicular Distances, Proving properties of Triangles, Tetrahedrons and Parallelograms using Vector methods 

Vector Differential And Integral Calculus: Theory and Definitions - Differentiation of Vectors, Introduction to Div, Curl, Grad; Vector Integral Calculus; Green’s theorem in the plane; Divergence theorem of Gauss, etc.

Vector Differential And Integral Calculus: Solved Problem Sets - Differentiation of Vectors, Div, Curl, Grad; Green’s theorem; Divergence theorem of Gauss, etc. 

Trigonometry

Trigonometry 1a ( Introduction to Trigonometry - Definitions, Formulas ) Trigonometry 1b ( Tutorial with solved problems based on Trigonometric ratios ) Trigonometry 2a ( Basic concepts related to Heights and Distances ) Trigonometry 2b ( Tutorial with solved problems related to Heights and Distances and other applications of Trigonometry )  Trigonometry 3a ( Introducing Inverse Trigonometric Ratios)  Trigonometry 3b ( Tutorial with solved problems related to inverse trigonometric ratios ) Trigonometry 4 ( A tutorial on solving trigonometric equations

Single Variable Calculus

Quick and introductory definitions related to Funtions, Limits and Continuity  Functions, Limits and Continuity - Solved Problem Set I - The Domain, Range, Plots and Graphs of Functions; L'Hospital's Rule Functions, Limits and Continuity - Solved Problem Set II - Conditions for Continuity, More Limits, Approximations for ln (1+x) and sin x for infinitesimal values of x  Functions, Limits and Continuity - Solved Problem Set III - Continuity and Intermediate Value Theorems  Introductory concepts and definitions related to Differentiation - Basic formulas, Successive Differentiation, Leibnitz, Rolle and Lagrange Theorems, Maxima , Minima, Convexity, Concavity, etc Differential Calculus - Solved Problem Set I - Common Exponential, Log , trigonometric and polynomial functions  Differential Calculus - Solved Problem Set II - Derivability and continuity of functins - Change of Indepndent Variables - Finding N-th Derivatives - Differential Calculus - Solved Problems Set III- Maximia, Minima, Extreme Values, Rolle's Theorem Differential Calculus - Solved Problems Set IV - Points of Inflexion, Radius of Curvature, Curve Sketching  Differential Calculus - Solved Problems Set V - Curve Sketching, Parametric Curves  Introducing Integral Calculus - Definite and Indefinite Integrals - using Substitution , Integration By Parts, ILATE rule  Integral Calculus - Solved Problems Set I - Basic examples of polynomials and trigonometric functions, area under curves Integral Calculus - Solved Problems Set II - More integrals, functions involving trigonometric and inverse trigonometric ratios Integral Calculus - Solved Problems Set III - Reduction Formulas, Using Partial FractionsI Integral Calculus - Solved Problems Set IV - More of integration using partial fractions, more complex substitutions and transformations Integral Calculus - Solved Problems Set V- Integration as a summation of a series  Introduction to Differential Equations and Solved Problems - Set I - Order and Degree, Linear and Non-Linear Differential Equations, Homogeneous Equations, Integrating Factor Differential Equations - Solved Problems - Set II - D operator, auxillary equation, General Solution Differential Equations - Solved Problems - Set III - More Differential Equations  Differential Equations - Solved Problems - Set IV

Multiple Variable Calculus

Calculus - Multiple Variables - Part I- Functions of severable variables; limits and continuity Calculus - Multiple Variables - Part 2- Functions of several variables, theorems and co-ordinates Calculus - Multiple Variables - Part 3- Multiple Integrals; double and triple integral

Applied Mathematics : An Introduction to Game Theory

An Introduction to Game Theory Extensive Games Bayesian Games : Games with Incomplete Information Repeated Games

Applied Mathematics : An Introduction to Operations Research

Introduction to Operations Research A quick introduction to Operations Research. Introducing Linear Programming, standard and canonical forms. Linear Programming geometry, feasible regions, feasible solutions, simplex method. Some basic problems.

Physics

Basic Mechanics and Engineering Mechanics

Introduction to Vectors and Motion Vectors and Projectile Motion Newton's Laws of Motion Work, Force and Energy Simple Harmonic Motion Rotational Dynamics Fluid Mechanics Moments and Equivalent Systems Centroid And Center of Gravity  Analysis of Structures

  

Electrostatics and Electromagnetism

Electrostatics - Part 1: Theory, definitions and problems Columb's law. Electric Field Intensity, principle of superposition, gauss theorem, electrostatic potential, electric field intensities due to common charge distributions, capacitors and calculating capacitance. Solved problems.  Electrostatics - Part 2: More solved problems. More solved problems related to the concepts introduced above. Electromagnetism - Part 1: Theory and Definitions Lorentz Force, Bio-Savart law, Ampere's force law, basic laws related to Magnetic fields and their applications. Magnetic field intensities due to common current distributions. Electromagnetic Induction. Self and mutual induction. Electromagnetism - Part 2: Solved problems Solved problems related to the concepts introduced above. Advanced concepts in Electrostatics and Electromagnetism ( Theory only ) Advanced concepts related to electrostatics and electromagnetism (theory only).

Chemistry

Alkanes, Alkenes, Alkynes

An Introduction to Carbohydrates

An Introduction to Electrochemistry

Atomic Structure: Notes, Tutorial, Problems with Solutions

Basic Organic Reactions

Chemical Equilibrium

Chemical Kinetics

Combustion Method

Co-ordination Compounds

Covalent Bonds

Hydrogen

Isomerism and Stereo-Isomerism

Liquid Solutions

Nomenclature of Simple Organic Compounds

Problems related to Hybridization and Isomers

Solid State

Stoichiometry

The Gaseous State

Electrical Science and Engineering

Introduction to DC Circuits

Circuit Theory 1a- Introduction to Electrical Engineering, DC Circuits, Resistance and Capacitance, Kirchoff Law Circuit Theory 1b - More solved problems related to DC Circuits with Resistance and Capacitance- Capacitors, computing capacitance, RC Circuits, time constant of decay, computing voltage and electrostatic energy across a capacitanc Circuit Theory 2a - Introducing Inductors Circuit Theory 2b - Problems related to RL, LC, RLC circuits  Circuit Theory 3a - Electrical Networks and Network Theorems  Circuit Theory 3b - More network theorems, solved problems

Introduction to Digital Electronic Circuits and Boolean logic

Introduction to the Number System : Part 1  Number System : Part 2 Introduction to Boolean Algebra : Part 1 Boolean Algebra : Part 2  Understanding Karnaugh Maps : Part 1 Karnaugh Maps : Part 2  Introduction to Combinational Circuits : Part 1  Combinational Circuits : Part 2  Introduction to Sequential Circuits : Part 1   Sequential Circuits : Part 2