Mathematics for Data Science (Linear Algebra, Calculus, Statistics)
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Certificate :
After Completion
Start Date :
10-Jan-2025
Duration :
30 Days
Course fee :
$150
COURSE DESCRIPTION:
The Mathematics for Data Science course aims to establish a robust mathematical foundation crucial for excelling in data science methodologies.
It focuses on three primary domains: Linear Algebra, Calculus, and Statistics, offering both theoretical insights and practical applications pertinent to data analysis and machine learning.
Participants will gain an understanding of how these mathematical concepts underpin algorithms, enhance model optimization, and facilitate data interpretation.
This course is specifically designed for both beginners and intermediate learners who seek to enhance their mathematical competencies for data science purposes.
CERTIFICATION:
Learners who finish the course will be awarded a Certificate of Achievement.
This certification confirms their grasp of the mathematical principles essential for data science and machine learning, thereby improving their credentials for data-oriented positions or further academic pursuits.
LEARNING OUTCOMES:
By the conclusion of the course, participants will possess the skills to:
In Linear Algebra, they will comprehend vectors, matrices, and the operations necessary for effective data manipulation.
They will also understand eigenvalues, eigenvectors, and matrix factorization, which are pivotal in machine learning and dimensionality reduction.
Additionally, they will be equipped to solve systems of linear equations and apply these principles to practical data scenarios.
In Calculus, participants will learn the significance of calculus in optimization and learning algorithms.
They will be able to apply derivatives for gradient calculations, a fundamental aspect of gradient descent in training machine learning models. Furthermore, they will delve into multivariable calculus, focusing on partial derivatives and Jacobians to optimize complex functions.
In Statistics, they will grasp both descriptive and inferential statistics, including central tendency measures, variance, and probability distributions. They will conduct hypothesis testing, analyze p-values, and estimate confidence intervals. Participants will also utilize statistical techniques to analyze datasets, identify trends, and make predictions.
The course will provide a robust mathematical foundation for machine learning algorithms, enabling the use of statistical models to derive insights from real-world data. Participants will apply linear algebra methods for data transformations and visualizations, as well as implement calculus principles in model optimization and machine learning frameworks.
This course is ideal for aspiring data scientists and machine learning professionals, as well as students and practitioners seeking a thorough understanding of the mathematics underpinning data science. It is also suitable for individuals preparing for advanced studies in artificial intelligence, data analysis, or related disciplines.
Course Curriculum
- Importance of mathematics in data science and machine learning
- Overview of key areas: Linear Algebra, Calculus, and Statistics
- Tools and libraries for mathematical computations (e.g., NumPy, SciPy)
- Scalars, vectors, and matrices
- Matrix operations: Addition, multiplication, and transposition
- Special matrices: Identity matrix, diagonal matrix, and inverse matrix
- Understanding vector spaces and subspaces
- Basis, dimension, and rank of a matrix
- Linear transformations and their properties
- Definition and significance of eigenvalues and eigenvectors
- Diagonalization of matrices
- Applications in Principal Component Analysis (PCA)
- Understanding limits, continuity, and differentiation
- Derivatives of single-variable functions and their interpretations
- Applications of derivatives: Optimization problems
- Partial derivatives and gradient vectors
- Concept of divergence and curl
- Applications in gradient descent and machine learning algorithms
- Basics of integration: Definite and indefinite integrals
- Applications in probability density functions and cumulative distributions
- Double and triple integrals for volume calculations
- Central tendency: Mean, median, and mode
- Dispersion: Variance, standard deviation, and range
- Data visualization: Histograms, boxplots, and scatterplots
Training Features
Interactive Exercises
Step-by-step problems and solutions for linear algebra, calculus, and statistics.
Visualization of Concepts
Visual demonstrations of mathematical principles using Python libraries like Matplotlib and Plotly.
Real-World Applications
Use case examples from machine learning, data analysis, and AI applications.
Comprehensive Projects
Hands-on projects to apply mathematics in data science workflows, such as PCA and gradient descent.
Expert Mentorship
Access to mathematics and data science experts for guidance and Q&A sessions.
Certification
A certificate showcasing your expertise in mathematics for data science.