Data Science Math Skills Course Syllabus

Full curriculum breakdown — modules, lessons, estimated time, and outcomes.

Overview (80-120 words) describing structure and time commitment.

Module 1: Building Blocks for Problem Solving

Estimated time: 3 hours

  • Introduction to set theory and Venn diagrams
  • Properties of the real number line
  • Interval notation and its applications
  • Summation and sigma notation

Module 2: Functions and Graphs

Estimated time: 3 hours

  • Graphing on the Cartesian plane
  • Understanding slope and distance formulas
  • Defining and identifying functions
  • Exploring function inverses

Module 3: Measuring Rates of Change

Estimated time: 3 hours

  • Concept of instantaneous rate of change
  • Tangent lines and their significance
  • Exponents and their properties
  • Logarithms and the natural logarithm function

Module 4: Introduction to Probability Theory

Estimated time: 3 hours

  • Foundations of probability
  • Basic rules and axioms of probability
  • Bayes’ theorem and its applications

Module 5: Welcome to Data Science Math Skills

Estimated time: 0.4 hours

  • Course structure and learning objectives
  • Overview of video lectures and quizzes
  • Information on earning the certificate of completion

Module 6: Final Project

Estimated time: 2 hours

  • Solve real-world problems using set theory and interval notation
  • Apply functions and graphing techniques to data scenarios
  • Demonstrate understanding of probability and rate of change concepts

Prerequisites

  • Basic high school algebra knowledge
  • Familiarity with mathematical notation
  • Interest in data science or analytical fields

What You'll Be Able to Do After

  • Apply core mathematical concepts to data science problems
  • Interpret and create graphs using Cartesian coordinates
  • Use summation and probability notation effectively
  • Understand and compute rates of change and logarithmic relationships
  • Utilize Bayes’ theorem in practical scenarios
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