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Course Structure
The Curriculum Section of this Course covers the following Content :
Attachments 1: Simplification
Attachments 2: HCF and LCM
Attachments 3: Averages
Attachments 4: Number System
Attachments 1: Quadratic Equations
Attachments 2: Sequence and Series
Attachments 3: Surds and Indices
Attachments 4: Logarithms and Their Properties
Attachments 1: Percentage
Attachments 2: Profit and Loss
Attachments 3: Simple Interest
Attachments 4: Compound Interest
Attachments 1: Ratio, Proportion and Variation
Attachments 2: Partnership
Attachments 3: Mixture / Alligation
Attachments 1: Time, Speed and Distance
Attachments 2: Time and Work
Attachments 3: Probability
Attachments 4: Permutations and Combinations
Attachments 1: Geometry
Attachments 2: Mensuration
Attachments 3: Trigonometry
Attachments 1: Series Completion
Attachments 2: Non - Verbal Series
Attachments 3: Coding - Decoding
Attachments 4: Distance and Directions
Attachments 1: Calendar
Attachments 2: Clock
Attachments 3: Ranking & Arrrangements
Attachments 4: Puzzles
Attachments 1: Data Interpretation - Mean, Median, Mode and Measures of Dispersion
Attachments 1: Tabulation
Attachments 2: Bar Graphs
Attachments 3: Pie - Charts
Attachments 4: Line - Graphs
Attachments 1: Set Theory and Real Number System
Attachments 2: Relations and Functions
Attachments 3: Sequence and Series
Attachments 1: Function
Attachments 2: Limit of a Function of One Variable
Attachments 3: Continuous Functions of One Variable
Attachments 4: Derivability of a Function of One Variable
Attachments 5: Rolles Theorem
Attachments 6: Mean Value Theorem
Attachments 7: Taylors Theorem
Attachments 8: Maxima and Minima of One Variable
Attachments 9: Functions of Two Variables
Attachments 10: Limit of a Function of Two Variables
Attachments 11: Continuity of a Function of Two Variables
Attachments 12: Partial Derivatives
Attachments 13: Differentiability of Two Variables
Attachments 14: Maxima and Minima of Two Variables
Attachments 15: Method of Lagrange Multipliers
Attachments 16: Extrema Subject to One Constraint
Attachments 17: Constrained Extrema of Quadratic Forms
Attachments 18: Extrema Subject to Two Constraints
Attachments 19: Eulers Homogeneous Function Theorem
Attachments 1: The Riemann Integral and Improper Integral
Attachments 2: Uniform Convergence of Sequences & Series of Functions
Attachments 3: Functions of Bounded Variation, Lebesgue Measure and Metric Space
Attachments 1: Algebra of Matrices.
Attachments 2: Linear Equation and Vector Space
Attachments 1: Linear Transformation
Attachments 2: Quadratic Forms and Inner Product Spaces
Attachments 1: Complex Numbers
Attachments 2: Complex Plane
Attachments 3: Stereographic Projection
Attachments 4: Chardal Distance
Attachments 5: Multivalued Function
Attachments 6: Monovalent Function
Attachments 7: De Moivres Theorem
Attachments 8: Geometry of Complex Numbers
Attachments 9: Polynomials
Attachments 10: Power Series
Attachments 11: Complex Function
Attachments 12: Analytic Functions
Attachments 1: Line Integral
Attachments 2: Important Theorems
Attachments 3: Expansion of Analytic Functions as Power Series
Attachments 4: The Zeros of an Analytic Function
Attachments 5: Residue at a Pole
Attachments 6: Cauchys Residue Theorem
Attachments 7: Mappings
Attachments 1: Combinatorics
Attachments 2: Permutations
Attachments 3: Combinations
Attachments 4: The Pigeonhole Principle
Attachments 5: The Inclusion-Exclusion Principle
Attachments 6: Derangements
Attachments 7: Fundamental Theorem of Arithmetic
Attachments 8: Divisibility
Attachments 9: The Greatest Common Divisor
Attachments 10: Congruences
Attachments 11: Chinese Remainder Theorem
Attachments 12: Eulers Phi Function
Attachments 13: Primitive Roots
Attachments 1: Binary Operations
Attachments 2: Group
Attachments 3: Subgroup
Attachments 4: Cyclic Group
Attachments 5: Cosets
Attachments 6: Product of Subgroups
Attachments 7: Permutation Group
Attachments 8: Homomorphism
Attachments 9: Conjugate Elements
Attachments 10: Cayleys Theorem
Attachments 11: Dihedral Group Dn
Attachments 12: Normal Subgroup
Attachments 13: Simple Group
Attachments 14: Conjugate Subgroup
Attachments 15: Quotient Group
Attachments 16: Maximal Normal Subgroup
Attachments 17: Sylow Packages
Attachments 18: Generalized Caylay Theorem (GCT)
Attachments 1: Ring Theory
Attachments 2: Topology
Attachments 1: Ordinary Differential Equations
Attachments 2: Differential Equations of the First Order and First Degree
Attachments 3: Singular Solution
Attachments 4: Existence and Uniqueness Theorem
Attachments 5: Homogeneous and Non-Homogeneous Linear Differential Equations
Attachments 6: Variation of Parameters
Attachments 7: Self-Adjoint Equation
Attachments 8: Greens Function
Attachments 1: Partial Differential Equations
Attachments 2: Lagranges Solution of the Linear PDE
Attachments 3: Charpits Method
Attachments 4: Cauchy Problem for First Order PDEs
Attachments 5: Classification of Second Order Partial Differential Equation
Attachments 6: Method of Separation of Variables for Laplace Heat and Wave Equation
Attachments 1: Bisectional Method
Attachments 2: False Position or Regula Falsi Method
Attachments 3: Newton-Raphson Method
Attachments 4: Solution of Simultaneous Linear Equations
Attachments 5: Interpolation
Attachments 6: Numerical Differentiation
Attachments 7: Numerical Integration
Attachments 8: Numerical Solution of Ordinary Differential Equations
Attachments 1: Calculus of Variations
Attachments 2: Linear Integral Equations
Attachments 1: Classical Mechanics
Attachments 1: Cumulative Frequency Distribution
Attachments 2: Measure of Dispersion
Attachments 3: Theory of Probability
Attachments 4: Markov Chain
Attachments 5: Standard Discrete Distributions
Attachments 6: Theoritical Continuous Distribution
Attachments 7: Order Statistics
Attachments 8: Sampling Distribution
Attachments 1: Methods of Estimation
Attachments 2: Confidence Interval and Confidence Limit
Attachments 3: Test of Significance
Attachments 4: Chi-Square Test of Goodness of Fit
Attachments 5: Rank Correlation
Attachments 6: Non-Parametric Test
Attachments 1: Gauss - Markov Model
Attachments 2: Confidence Intervals
Attachments 3: Testing of Hypothesis
Attachments 4: Analysis of Variance
Attachments 5: Fixed and Random Effects Models
Attachments 6: Analysis of Covariance (ANOCOVA)
Attachments 7: Mixed Effect Model
Attachments 8: Regression Analysis
Attachments 9: Logistic Regression
Attachments 10: Multivariate Normal Distribution
Attachments 11: The Wishart Distribution
Attachments 12: Partial Correlation and Partial Regression
Attachments 13: Data Reduction Techniques
Attachments 1: Theory of Sampling
Attachments 2: Ratio and Regression Methods
Attachments 3: Experimental Design
Attachments 4: Hazard Function
Attachments 5: Censoring
Attachments 1: Linear Programming Problem
Attachments 2: Simplex Method to Solve LPP
Attachments 3: Primal Dual Problem
Attachments 4: Queuing Theory
Attachments 5: Inventory Problems
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Abhinav Singh
BASAB
Aditya Pratap
abhishek