This course teaches the beautiful discrete counterpart of calculus, focusing on the calculus of sequences or differences. The learning outcomes include understanding the Newton-Gregory interpolation formula, applying the what comes next oracle, and exploring concepts like the Fibonacci sequence and Pascal's triangle. The course covers topics such as derivatives as differences, the Master formula, and real-world applications. The teaching method includes lectures, proofs, and examples. The intended audience for this course is individuals interested in advanced mathematics and exploring the alternate reality of calculus through sequences and differences.
Overview
Syllabus
Intro.
Derivative = difference.
What's the difference.
The Master formula.
What's next is silly.
Gregory Newton works for everything.
Integral = Sum.
Differential equation = Difference equation.
Summary and real world application.
Proof.
Taught by
Mathologer
