Series and Sequences: The Mathematics of Change

Unlock the Mathematical Engine Driving Our World

How does a population grow? How do economists predict market trends? How fast does information (or a disease) spread? The answers lie hidden within the patterns of numbers – series and sequences. These mathematical concepts are not just abstract ideas; they are the fundamental tools used by scientists, economists, and thinkers to understand and model change in the real world.

This course, designed for talented students in grades 4-6, builds conceptual knowledge of mathematics well beyond school curricula. Starting with the familiar operations of addition and multiplication, we will systematically build towards understanding powerful models of growth and decay. Guided by an educator with direct experience in ecological and population modeling, you will learn to:

• Identify and Analyze Patterns: Distinguish between steady, linear change (arithmetic sequences) and rapid, accelerating change (geometric/exponential sequences).

• Model Real-World Phenomena: Apply mathematical concepts to understand critical global issues, including:

  • Population…