Learn the fundamental tools of probability and combinatorics.
Make informed decisions with probability and combinatorics
Big Data,Data & Analytics,Data Protection
Lectures -20
Duration -2 hours
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Course Description
Are you fascinated by the world of uncertainty and counting? Do you want to gain a fundamental understanding of probability and combinatorics? If so, our "Introduction to Probability and Combinatorics" course is the perfect starting point for your journey into this captivating field of mathematics.
Course Overview:
Probability and combinatorics are two fundamental branches of mathematics that underpin a wide range of disciplines, from statistics and data science to engineering and computer science. In this course, you will explore the core concepts of both probability and combinatorics, building a strong foundation for advanced studies and real-world applications.
Who Should Enroll:
Students and professionals seeking a foundational understanding of probability and combinatorics.
Anyone preparing for advanced courses in mathematics, statistics, or data science.
Individuals interested in applications of probability and combinatorics in various fields.
Course Outcome:
By the end of this course, you will have a solid grasp of probability and combinatorics, enabling you to tackle more advanced coursework or apply these principles to real-world scenarios. You'll also be better prepared for careers that require strong analytical and problem-solving skills.
Goals
Course Highlights:
Fundamentals of Probability:
Understand the concept of probability and its importance in decision-making and risk assessment.
Learn about basic probability rules and axioms.
Explore different types of probability distributions, including discrete and continuous distributions.
Combinatorial Mathematics:
Dive into combinatorial mathematics, focusing on counting techniques and permutations.
Study combinations, binomial coefficients, and the inclusion-exclusion principle.
Solve real-world problems using combinatorial methods.
Applications in Various Fields:
Discover how probability and combinatorics are applied in fields such as finance, science, and gaming.
Gain insights into their role in data analysis and statistics.
Explore real-world examples and case studies.
Problem-Solving and Exercises:
Engage in hands-on exercises and problem-solving sessions to reinforce your understanding.
Practice applying probability and combinatorics concepts to solve practical problems.
Challenge yourself with thought-provoking exercises to hone your skills.
Interactive Learning Environment:
Benefit from an interactive and supportive online learning platform.
Access video lectures, quizzes, and assignments that cater to various learning styles.
Collaborate with fellow students and receive guidance from experienced instructors.
Prerequisites
This course assumes a basic understanding of algebra and mathematical concepts. No prior knowledge of probability or combinatorics is required.
Curriculum
Check out the detailed breakdown of what’s inside the course
Unveiling Uncertainty: Exploring Probability Basics and Random Experiments
2 Lectures
- Unveiling Uncertainty: Exploring Probability Basics and Random Experiments 02:54 02:54
- Laying the Foundation: Understanding Sample Spaces and Events in Probability 03:38 03:38
Unlocking the World of Combinations and Permutations in Combinatorics
3 Lectures
Data Analysis with Google Colab: Central Tendency & Probability
5 Lectures
Simulating Randomness: Sampling from Distributions
5 Lectures
Get Your Data Ready to Shine: Data Cleaning and Preprocessing Fundamentals
5 Lectures
Instructor Details
AKHIL VYDYULA
Hello, I'm Akhil, an Associate Consultant at Atos India with a focus on the Advisory Consulting practice, specializing in Data and Analytics. My professional journey has led me through various facets of data analysis and modeling, particularly in the BFSI sector, where I've had the privilege of overseeing the full lifecycle of development and execution.
My skill set encompasses a wide range of data-related tasks, including data wrangling, feature engineering, algorithm development, model training, and implementation. I thrive on leveraging data mining techniques such as statistical analysis, hypothesis testing, regression analysis, as well as both unsupervised and supervised machine learning processes to extract meaningful insights and drive data-informed decisions. I'm particularly passionate about risk identification through decision models, and I've honed my expertise in Machine Learning Algorithms, Data/Text Mining techniques, and Data Visualization to effectively address these challenges.
Currently, I'm immersed in an exciting Amazon cloud project that involves end-to-end development of ETL processing. In this role, I craft ETL processing code using PySpark/Spark SQL to extract data from S3 buckets, perform necessary transformations, execute scripts using EMR services, and load consolidated data into Postgres SQL (RDS/Redshift) on a full, incremental, and live basis. To streamline this process, I've automated it by creating jobs in Step functions, which trigger EMR instances to run scripts in a specific order and send notifications upon execution status changes. The scheduling of these Step functions is achieved through event bridge rules.
Additionally, I've worked extensively with AWS Glue, using it to replicate source data from on-premises systems to raw-layer S3 buckets via AWS DMS services. One of my key strengths lies in my ability to understand the nuances of data and apply the right transformations to convert data from multiple tables into key-value pairs. Furthermore, I've optimized the performance of stored procedures in Postgres SQL to execute second-level transformations by efficiently joining multiple tables and loading the data into final tables.
I'm passionate about harnessing the power of data to drive actionable insights and improve business outcomes. If you share this passion or are interested in collaborating on data-driven projects, feel free to connect with me. Let's explore the endless possibilities that data analytics has to offer!
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