Introduction to Data Science Workbook

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Introduction to Data Science

Course Content

Probability Distribution 8 Quizzes

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Lesson Content

Quiz 1 on Gamma Distribution

Quiz 1 on Discrete Distribution

Quiz 1 on Geometric Distribution

Quiz 1 on Poisson Distribution

Quiz 1 on Exponential Distribution

Quiz 1 on Cumulative Distribution Function

Quiz 1 on Probability Distribution of Random Variable

Quiz 1 on Binomial Distribution

Linear Algebra 12 Quizzes

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Lesson Content

Quiz 1 on Matrix Decompositions

Quiz 1 on Basic Vector Operations

Quiz 2 on Basic Vector Operations

Quiz 1 on Vector Space

Quiz 2 on Vector Space

Quiz 1 on Matrix Algebra

Quiz 2 on Matrix Algebra

Quiz 1 on Dot Product and Matrix Properties

Quiz 2 on Dot Product and Matrix Properties

Quiz 1 on Eigenvalues and Matrix Diagonalization

Quiz 2 on Eigenvalues and Matrix Diagonalization

Quiz 2 on Matrix Decompositions

Finding Roots of Equation 10 Quizzes

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Lesson Content

Quiz 2 on Functions, Graphs and Roots

Quiz 2 on Jenkins-Traub Algorithm

Quiz 2 on The Bisection Method

Quiz 2 on Brent’s Method

Quiz 1 on Newton’s Raphson Method

Quiz 2 on Newton’s Raphson Method

Quiz 1 on Functions, Graphs and Roots

Quiz 1 on Jenkins-Traub Algorithm

Quiz 1 on The Bisection Method

Quiz 1 on Brent’s Method

Finding Roots of System of Equations 6 Quizzes

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Lesson Content

Quiz 2 on Solving System of Linear Equations

Quiz 2 on Solving Non-linear System of Equations with Newton’s Method

Quiz 1 on Introduction to Linear Systems of Equations

Quiz 1 on Solving System of Linear Equations

Quiz 1 on Introduction to System of Non-linear equations

Quiz 1 on Solving Non-linear System of Equations with Newton’s Method

Curve Fitting and Interpolation 9 Quizzes

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Lesson Content

Quiz 2 on Least Squares Curve Fitting

Quiz 2 on Linear Interpolation

Quiz 2 on Polynomial Interpolation

Quiz 2 on Newton’s Interpolation Method

Quiz on Least Square Curve Fitting

Quiz on Interpolation

Quiz on Polynomial Interpolation

Quiz on Newtons Interpolation Method

Quiz 1 on Integrating Factor Method

Numerical Differentiation and Integration 11 Quizzes

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Lesson Content

Quiz 2 on Finite Difference

Quiz 2 on Multivariate Finite Difference

Quiz 2 on Romberg Integration

Quiz 2 on The Newton-Cotes Family

Quiz 2 on Gauss Quadrature

Quiz 1 on Integration by Substitution

Quiz on Finite Difference

Quiz on Gradient and Hessian

Ridder’s Method

Quiz on Newton-Cotes Family and Romberg Integration

Quiz on Gauss Quadrature

Ordinary Differential Equations 10 Quizzes

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Lesson Content

Quiz 1 on Differential Equations

Quiz 1 on First Order Equations

Quiz 2 on Euler’s Method

Quiz 2 on Runge-Kutta Method

Quiz 2 on order and degree

Quiz 1 on Order and Degree of ODE

Quiz 1 on Initial Value Problem

Quiz 1 on Separable Equations

Quiz 1 on Euler’s Method

Quiz 1 on Runge-Kutta Method

Partial Differential Equations 1 Quiz

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Lesson Content

Quiz on Multivariate Finite Difference

Unconstrained Optimization 9 Quizzes

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Lesson Content

Quiz 1 on Golden and brute search algorithm

Quiz 2 on Quasi-Newton’s Method

Quiz 1 on Conjugate Direction Methods

Quiz on C2OptimProblem

Quiz on Brute Force Search

Quiz on Bracketing Methods

Quiz on Steepest Descent Methods

Quiz on Quasi-Newton Methods

Quiz on Conjugate Direction Methods

Basic Statistics 7 Quizzes

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Lesson Content

Quiz 1 on Mean, Variance and skewness

Quiz 1 on Kurtosis, Moments and Rank

Quiz 1 on Quantile, Covariance and Correlation

Quiz 1 on Rank, Quantile, Median, Min and Max

Quiz 1 on Skewness, Kurtosis and Moments

Quiz 1 on Covariance and Correlation

Quiz 1 on Mean and Variance

Random Number Generation 4 Quizzes

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Lesson Content

Quiz 1 on Uniform Random Number Generator

Quiz 1 on Uniform Random Number Generators

Quiz 1 on Sampling from Univariate Distribution

Quiz 2 on Sampling from Univariate Distribution

Linear Regression 3 Quizzes

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Lesson Content

Quiz 1 on Simple Linear Regression

Quiz 2 on Simple Linear Regression

Quiz 1 on Multiple Linear Regression

Machine Learning 13 Quizzes

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Lesson Content

Quiz 1 on Decision Tree ID3 Algorithm

Quiz 1 on Concept Learning: Find-S Algorithm

Quiz 1 on Concept Learning: Candidate Elimination Algorithm

Quiz 1 on Naive Bayes

Quiz 1 on K-Fold Cross Validation

Quiz 1 on Linear Regression

Quiz 1 on Unraveling Logistic Regression

Quiz 1 on Weight Initialization in ANN

Quiz 1 on Single Layer Perceptron

Quiz 1 on MultiLayer Perceptron

Quiz 1 on Simple Gradient Descent

Quiz 1 on Optimizers

Quiz 1 on Boundary for Logistic regression