Advanced Math

7 series

Calculus

3 posts

Advanced Math

[Calculus Series Part 1] Week 0: Limits of Sequences

Start the calculus series with sequence limits, then see how they lead into function limits and continuity.

#calculus#sequence-limit#continuity
Advanced Math

[Calculus Series Part 2] Week 1: Limits of Exponential, Log, and Trig Functions

We unpack the meaning of the constant e, differentiate exponential and logarithmic functions, and derive key trigonometric limits through rich examples.

#calculus#exponential#logarithm
Advanced Math

[Calculus Series Part 3] Week 2: Trig Derivatives and the Chain Rule

We derive trig derivatives from limits, connect them to the quotient rule, and practice the chain rule on layered examples.

#calculus#trigonometry#derivative

Introduction to Number Theory

20 posts

Advanced Math

[Introduction to Number Theory Series Part 1] What Is Number Theory? A 20-Part Roadmap

Get the big picture of number theory through its core questions and the full 20-part learning path of this series.

#number-theory#divisibility#prime-number
Advanced Math

[Introduction to Number Theory Series Part 2] What Do Divisors and Multiples Show Us?

Learn how divisibility, divisors, multiples, quotients, and remainders form the first language of number theory.

#number-theory#divisibility#divisor
Advanced Math

[Introduction to Number Theory Series Part 3] Why Is the Division Algorithm the Starting Point of Number Theory?

See why the standard form a=bq+r with 0 ≤ r < |b| is the natural starting point for integer structure in number theory.

#number-theory#division-algorithm#quotient

Linear Algebra

20 posts

Advanced Math

[Linear Algebra Series Part 1] A Linear Algebra Roadmap for Programmers

See how this 20-part linear algebra series is sequenced for programming, machine learning, graphics, and data work, and why it is ordered this way.

#linear-algebra#programming-math#roadmap
Advanced Math

[Linear Algebra Series Part 2] Seeing Scalars and Vectors Through a Programmer's Lens

Understand the difference between scalars and vectors by connecting coordinates, feature vectors, and embeddings from a programming perspective.

#linear-algebra#vectors#embeddings
Advanced Math

[Linear Algebra Series Part 3] Vector Addition, Scalar Multiplication, and the Start of Linearity

Learn what vector addition and scalar multiplication mean through data combination, scaling, and the first idea of linearity.

#linear-algebra#vectors#linearity

대수

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미적분학 -심화

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이산수학

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선형대수학

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