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Courses

MAT-7

Outline

  • Sets

    • Discrete sets

    • Set operations

    • Size of sets

    • Continuous sets

  • Arithmetics​

    • Whole numbers

    • Basis systems

    • Operators​

    • Derivation of operation algorithm

    • Factoring

    • Rational numbers and operators

    • Irrational numbers, decimal representation

    • Formalization tools

  • Elementary Algebra​

    • Variables and expressions

    • Equalities

    • Inequalities

    • Word problems 

  • Probability and statistics

    • Events and sample spaces

    • Statistics

    • Axioms of probability

    • Discrete events

    • Combinatorics

    • Independent vs conditional events

    • Continuous events

  • Geometry​

    • Geometric objects and dimensions

    • Angles​

    • Shapes and figures

    • Transformation

    • Measures

​​

Texts

  • ÜNI Fundamentals of mathematics

  • Set Theory - An open introduction - Open Logic

  • The Drunkard's Walk: How Randomness Rules Our Lives - Mlodinow

​

MAT-8

Outline

  • Elementary Algebra​

    • Polynomials

    • Solving polynomials

    • Manipulation of polynomials​

    • Multivariable equations

    • Trigonometry

  • Linear Algebra

    • Vectors and Vector Spaces

    • Manipulation of Vectors

    • Visual representation

    • Higher dimensions

    • Linear transformations

    • Matrices

    • Elementary Algebra ​to Linear Algebra​​​

  • Calculus

    • Functions​

    • Domain and range

    • Limits

    • Graphing

    • Continuity

    • Minimum and maximum

    • Polynomials

    • Power and logarithm

    • Differentiation

    • Integration​​​

​​

Texts

  • ÜNI Fundamentals of mathematics

  • Introduction to mathematical thinking: Algebra and number systems - Gilbert

SCI-7

Outline

  • Scientific method

    • Experimentation and observation

    • Theoretical modeling​

    • Mathematical tools

  • Cosmology​

    • Objects of the universe

    • Light

    • Expansion of the universe

    • Space, time, and shape of the universe

    • Past and future of the universe

  • Chemistry

    • Matter and its states

    • Energy

    • Entropy

    • Atomic structure

    • Molecule formation

    • Reactions

  • Biology​

    • Proteins

    • DNA and RNA

    • Cells

    • Organs

    • Complex Systems

    • Life

​​

Texts

  • Six Easy Pieces - Feynman

  • Astrophysics for People in a Hurry - Tyson

  • A Brief History of Time - Hawking

  • ​Chemistry: A Very Short Introduction - Atkins

  • The Disappearing Spoon: And Other True Tales of Madness, Love, and the History of the World from the Periodic Table of the Elements - Kean

  • ​The Selfish Gene - Dawkins

  • The Eighth Day of Creation: Makers of the Revolution in Biology - Judson

PHY-8

Outline

  • Kinematics

    • State spaces

    • Dynamic laws

    • Coordinate systems

    • Position, velocity, and acceleration

  • Newtonian Mechanics​

    • Forces

    • Equilibrium

    • Force causing acceleration

    • Momentum

    • Energy & Work

  • Electromagnetism

    • Electric field

    • Magnetic field

    • Change in fields

  • Introduction to spacetime

    • Simultaneity

    • Special Relativity​

    • General Relativity

  • Introduction to quantum mechanics

    • Double slit experiment

    • Wave-particle duality

    • Fields and standard model

​​​

Texts

  • ​ÜNI Fundamentals of physics

  • ​The Theoretical Minimum: What You Need to Know to Start Doing Physics - Susskind, Hrabovsky

  • Relativity Simply Explained - Gardner

  • QED: The Strange Theory of Light and Matter -Feynman

CS-7

Outline

  • Hardware architecture​

    • Analog circuits

    • Digital circuits

    • Microchips

    • Memory

    • Processing units

  • Software architecture

    • Data structures​

    • Algorithm design and analysis

 

Texts

  • ÜNI Fundamentals of computer science

CS-8

​Outline

  • Introduction to Programming

    • Programming languages

    • Compilers​

    • Networking and protocols

    • Coding in Python​

  • Advanced Topics​

    • Operating systems​

    • Artificial intelligence​

    • Quantum computing

 

Texts

  • ÜNI Fundamentals of computer science

  • Python in 24 Hours, Sams Teach Yourself (2nd Edition) - Cunningham

WS-7

Outline

  • Brief history of our planet

  • Brief history of modern humanity

    • Renaissance

    • Exploration

    • Scientific revolution

    • Enlightenment

    • Industrialization

    • Revolutions

    • Wars

    • Digital revolution

    • Globalization

 

Texts

  • The Story of Earth: The First 4.5 Billion Years, from Stardust to Living Planet - Hazen

  • A little history of the world - Gobrich

ENG-8

Outline

  • Scientific reading and writing​​

  • Technical writing

  • Legal reading and writing

  • Critical text and argument analysis

  • Oral communication

    • Audience analysis

    • Body language

    • Logic and emotion

    • Negotiation and debate

 

Texts

  • "The Structure of DNA" J. Watson and F. Crick 1953

  • "A Mathematical Theory of Communication" C. Shannon 1948

  • ​The General Data Protection Regulation (GDPR)

  • "Apple v. Samsung Patent Case: District Court Decision" 2012

  • "A Faster, Better Way to Edit Genes" - The New Yorker 2017

FR-7&8

Outline

  • Francophone culture

    • ​History

    • Geography

    • Arts & media

    • Traditions

    • Global influences 

    • Poetry

  • Oral Communication

    • ​Everyday conversations

    • Cultural etiquette

    • Personal expression

    • Discussion and debate

    • Lyrical expression

    • Regional dialects

  • Journaling & writing letters

  • Critical text and argument analysis

 

Texts

  • Active Communication in English, Annie Spratbrow (2001)

  • Le Petit Nicolas, René Goscinny (2014)

  • Le Chef, C'est Moi!, Collectif (2022)

  • Bleu de travail, Thomas Vinau (2015)

  • Ici ça va, Thomas Vinau (2012)

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