Introduction to Data Science & Foundational Math Concepts
Numbers and Variables - Description: This day introduces data science as a field. It covers its importance, applications, and the role of mathematics. The focus then shifts to the basics: understanding numbers (integers, real numbers), variables, and basic arithmetic operations (addition, subtraction, multiplication, division, exponents). - Specific Resources/Activities: - Watch introductory videos on data science (e.g., "What is Data Science?" on YouTube). - Read articles on data science applications (e.g., Forbes, Towards Data Science). - Complete interactive tutorials on basic arithmetic and variables using Khan Academy or similar platforms. Work through examples, solving simple equations like 'x + 5 = 10'. - Expected Outcomes: Understand what data science is. Comprehend the importance of math. Be able to perform basic arithmetic operations and understand the concept of a variable.
Learning Objectives
- Understand the fundamentals
- Apply practical knowledge
- Complete hands-on exercises
Sets, Logic, and Basic Algebraic Expressions
- Description: Learn about sets, set operations (union, intersection, complement), and how they relate to data. Introduce the fundamentals of logic (AND, OR, NOT). Introduce algebraic expressions, focusing on simplification. - Specific Resources/Activities: - Watch videos explaining sets and set operations (e.g., Khan Academy). Practice identifying and describing sets, and performing set operations using Venn diagrams. - Learn basic logic gates with examples to understand AND, OR, and NOT. - Work through tutorials on simplifying algebraic expressions (combining like terms, understanding the order of operations – PEMDAS/BODMAS). Use online algebra calculators to check your work. - Expected Outcomes: Understand sets, set operations, basic logic, and simplifying simple algebraic expressions. Able to visualize set operations using diagrams.
Learning Objectives
- Understand the fundamentals
- Apply practical knowledge
- Complete hands-on exercises
Linear Equations and Inequalities
- Description: Focus on solving linear equations (one and two variables). Introduce inequalities and how to solve them. Understand the concept of plotting on a coordinate plane. - Specific Resources/Activities: - Watch videos and tutorials on solving linear equations and inequalities (Khan Academy). - Practice solving various linear equations and inequalities, including those requiring multiple steps. - Learn to plot linear equations on a coordinate plane (using paper/pencil or online plotting tools). - Expected Outcomes: Be able to solve linear equations and inequalities, plot them on a coordinate plane, and understand their graphical representation.
Learning Objectives
- Understand the fundamentals
- Apply practical knowledge
- Complete hands-on exercises
Introduction to Functions & Graphs
- Description: Learn about the concept of functions, including the definition, domain, and range. Explore different types of functions: linear, quadratic (basic introduction), and their graphs. - Specific Resources/Activities: - Watch videos on functions, domain, and range (Khan Academy). - Practice identifying the domain and range of simple functions. - Plot linear and basic quadratic functions using online tools like Desmos or Geogebra. Analyze the shapes of the graphs. - Expected Outcomes: Understand the concept of a function, its domain and range. Be able to identify and plot simple linear and quadratic functions.
Learning Objectives
- Understand the fundamentals
- Apply practical knowledge
- Complete hands-on exercises
Descriptive Statistics: Mean, Median, Mode, and Variance
- Description: Begin exploring statistics. Introduce measures of central tendency (mean, median, mode) and measures of dispersion (variance – basic concept, not the full formula). - Specific Resources/Activities: - Watch videos explaining mean, median, mode, and variance (Khan Academy or YouTube). - Calculate mean, median, and mode for small datasets. - Understand the concept of variance, and learn how to interpret it. - Expected Outcomes: Calculate and interpret mean, median, and mode. Understand the basic concept of variance. Understand how these measures are used to summarize data.
Learning Objectives
- Understand the fundamentals
- Apply practical knowledge
- Complete hands-on exercises
Probability Basics
- Description: Introduce the basic concepts of probability, including events, sample spaces, and calculating the probability of simple events. Discuss the rules of probability: mutually exclusive events, independent events. - Specific Resources/Activities: - Watch videos on basic probability (Khan Academy, Crash Course Statistics). - Solve probability problems involving coin flips, dice rolls, and simple card games. - Learn about independent and mutually exclusive events. - Expected Outcomes: Understand the basic concepts of probability and be able to calculate the probability of simple events.
Learning Objectives
- Understand the fundamentals
- Apply practical knowledge
- Complete hands-on exercises
Review & Practice: Putting It All Together
- Description: Review all the concepts covered throughout the week. Engage in mixed practice problems to solidify understanding. Explore resources for future learning. - Specific Resources/Activities: - Review notes and completed exercises from the previous days. - Work through a problem set that combines all the concepts learned this week. - Explore online data science resources like Kaggle, DataCamp, and Coursera. Find resources to learn Python and/or R (beginner-friendly tutorials). - Expected Outcomes: Reinforce understanding of all covered concepts. Develop confidence in applying these foundational math principles to data science. Become aware of available resources for continued learning.
Learning Objectives
- Understand the fundamentals
- Apply practical knowledge
- Complete hands-on exercises
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