Mathematics and Logic Competitions 2021

Mathematics in Industry Landscape

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021


Hi, I'm Dani 👋🏻

  • Sains Komputasi ITB
    (2017 - 2019)
  • Matematika Universitas Airlangga
    (2012 - 2016)
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Experiences

  • Data Science Lead Instructor & Engineer at Bitlabs
    (Jul 2021 - present)
  • Data Science Engineer at Kurio
    (Jul 2019 - Jun 2021)
  • Data Scientist at Bareksa
    (Des 2018 - Apr 2019)
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Agenda

  • Historical Timeline of Mathematics
  • Areas of Mathematics
  • Mathematics and Life Sciences
  • Applied Mathematics in Industry
  • The Benefits of Mathematics
  • Some Fun Facts about Math
  • How I Apply Math at Work
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

DISCLAIMER

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Mathematics Historical Timeline

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Areas of Mathematics

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Traditionally speaking

Adapted from wikipedia...

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Pure Mathematics

Mathematics studied for its intrinsic interest

  • Mathematical foundations - proof theory, set theory, etc.
  • Analysis - functions, limits, derivatives, integrals, etc.
  • Algebra - field theory, groups, rings, etc.
  • Geometry
  • Topology
  • Combinatorics
  • Number theory
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Applied Mathematics

Mathematical studies that can be directly applied to real-world problems

  • Probability and statistics - statistics, random variables, events, and other mathematical theory of random phenomena
  • Computational sciences - numerical analysis, algebraic computation, etc.
  • Mathematical physics - classical & quantum mechanics, mechanics of structures, fluid mechanics, etc.
  • Operation research (OR) - mathematical modeling, mathematical optimization, statistical analysis, mathematical programming, etc.
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

From arxiv:

  • Algebraic geometry
  • Algebraic topology
  • Combinatorics
  • Differential geometry
  • Group theory
  • Numerical analysis
  • Quantum algebra
  • Representation theory
  • Statistics theory
  • etc.
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

From Society for Industrial and Applied Mathematics (SIAM):

  • Algebraic geometry
  • Applied and computational algorithms
  • Computational science and engineering
  • Life sciences
  • Linear algebra
  • Data Science
  • Optimization
  • Supercomputing
  • etc.
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Where does mathematics take place?

It's a mystery for some people.

Hence, to demistify this, let's first take a look from academia perspective.

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

In Life Sciences

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Mathematics and Logic Competitions 2021

Who's this?

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Mathematics and Logic Competitions 2021

Who's this?
Sir Isaac Newton

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Mathematics and Logic Competitions 2021

Laws of Motion

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Mathematics and Logic Competitions 2021

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© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

How about mathematics in industry?

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

"Mau kerja jadi apa nanti lulusan matematika? Di bank?"
overheard in every mathematics major in Indonesia

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021
© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

"Mau kerja jadi apa nanti lulusan matematika? Di bank?"
overheard in every mathematics major in Indonesia

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Applied Mathematics in Industry

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

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© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Recommendation System

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Recommendation System

One of the technique is called collaborative filtering and it uses Singular Value Decomposition.

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Gmail's smart compose (reference).

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

In natural language processing (NLP), language model is a chain of probability of what word come next after some words (reference).

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

How Math Helps (Me)

© 2021 Syahrul Hamdani
Mathematics and Logic Competitions 2021

Thank You

Any questions?

© 2021 Syahrul Hamdani

Dari sini terlihat bahwa kontribusi matematika terbanyak terjadi pada abad ke-19 dan 20. Di abad ke-20, perkembangan matematika terjadi mengikuti perkembangan ilmu fisiika dan sains lainnya.

* mathematicsl foundations discuss logic and symbols. * analysis is said to be the language of science itself and is used across chemistry, biology, and physics * algebra is said to be the study of structure * geometry deals with spatial relationship using fundamental qualities or axioms

* probability and stats deal with any random phenomena * stats can be thought of as the science of making effective use of numerical data from experiments or from populations of individuals * numerical analysis is the study of iterative methods and algorithms for approximately solving problems to a specified error bound

Briding to next slide: So there's a lot of type of categorization of areas of mathematics. Then, where does mathematics actually take place in our daily life? especially, in industry?

Who is isaac newton? (asking audience) When or Where did you know about this person? What did he write?

Tell a story about how I learned data science, machine learning, and up to this point * Self-paced learning * Learning outside formal education, taking online course, researching, reading * Challenged myself by taking paid internship * Mathematics is always there as a solid foundation of my learning journey * Not saying I'm expert at math, I still need to review a lot of basic mathematic laws and concepts * As long as you have the foundation and eager to learn, then you're probably doing fine