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Mathematics
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Calculus
Pre Calculus
Euclidean Trigonometry
Conic Sections
The Calculus
Limits
Derivatives
Integration
Integration
Techniques of Integration
Double Integration
Triple Integration
The Bell Curve, Gaussian Integral, & Error Function
HW1
Indeterminate Forms
Sequences & Series
Elementary Complex Analysis
Vector Calculus
Vectors
Dot Product
Vector Projection
Cross Product
Vector Functions
Gradient
Vector Fields
Line Integrals of Vector Fields
Curves & Surfaces and their Parameterizations
Coordinate Systems
Polar Coordinates
Cylindrical Coordinates
Spherical Coordinates
Transformations
Matrix Calculus
Tensor Calculus
Variational Calculus
Functions
Boxcar Function
Floor and Ceiling
Heaviside Function
Ramp Function
Continuous Uniform Function
Linear Algebra
Introduction to Linear Systems
Linear Combinations
Homogeneity of Linear Systems
Linear Independence
Linear Transformations
More on Linear Transformations
Invertible Matrices
Vectors
Matrices
Some examples of the use of KaTeX
Algebra
Book:
A Transition to Advanced Mathematics
Number Theory
Mathematical Induction
Binomial
Division
Congruence
Arithmetic Functions
Polynomials
Primitive Roots
Quadratic Residues
Number Theory
Exercises
Book:
Numbers, Groups, and Codes
Introduction
GCD & Euclid’s Algorithm
Primality
Congruence
Linear Congruences
1.1
1.2
1.3
1.4
1.5
Implementation
Sieve of Eratosthenes
Set Theory
Elementary Set Theory
Logic
Introduction
Combinatorics
Counting
Discrete Mathematics
Languages and Machines
Mathematical Coding
Introduction to error-correcting codes
The main coding theory problem
Exercises
Linear Programming
Some Definitions & Graphing
Convexity
Cones & Dual Cones
Row Tableaux
Dual LP & Sensitivity Analysis
Example
[13.2] Production Problem
Midterm II
Numerical Methods & Scientific Computing
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Sorted Array Merge
\(k\)
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\(k\)
-th smallest element
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Lucas Numbers
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0-1 Knapsack
PSU CMPSC 465
Assignment 1
Assignment 2
Assignment 3
Assignment 4
Assignment 5
Midterm
Assignment 6
Assignment 7
Assignment 8
Final
Programming
Editors
Vim
VSCode
Assembly
https://github.com/heracliteanflux/systems/tree/main/clang
Python
Packages
Data Science from Scratch
2e
R
Data Computing
2
R for Data Science
1
Silge & Robinson’s
Text Mining with R
Forecasting: Principles and Practice
3
A01 - Tidy Data
A02 - Graphical Exploration
A04 - Data Wrangling
A05 - Project: Popular Names
A06 - Project: Bird Species
A07 - Project: Bicycle Sharing
A08 - Project: Scraping Nuclear Reactors
A09 - Project: Street or Road?
A10 - Base R
Go
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Languages & Linguistics
Linguistics
Phonetics
Articulatory Phonetics
The Acoustic Theory of Speech Production
Speech Processing
Auditory Phonetics
Speech Perception
Analysis of Speech Sounds
Acoustic properties of Anii vowels
Acoustics and audition
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Analysis of a stop continuum
Acoustic and auditory properties of speech sounds
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Socrates
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Atomism
The Megarians and Dialectic
Philosophical Greek
Medieval Philosophy
Early Modern Philosophy
Galileo
The Assayer
(1623)
Hobbes
Descartes
Meditations on First Philosophy
(1641)
Meditation I: Concerning Those Things That Can Be Called into Doubt
Meditation II: Concerning the Nature of the Human Mind: That It Is Better Known Than the Body
Meditation III: Concerning God, That He Exists
Meditation IV: Concerning the True and the False
Meditation V: Concerning the Essence of Material Things, and Again Concerning God, That He Exists
Meditation VI: Concerning the Existence of Material Things, and the Real Distinction between Mind and Body
Elisabeth’s Objection
Spinoza
Leibniz
Newton
Locke
Hume
Berkeley
Kant
Metaphysics & Ontology
Epistemology
Ethics
Aesthetics
Existentialism
Philosophy of Law
Political Philosophy and its history
Philosophy of History and the History of Ideas
Friendship and Love
American Philosophy
Chinese Philosophy
French Philosophy
Japanese Philosophy
Spanish Philosophy
History and Philosophy of Science
History & Philosophy of Physics & Cosmology
History and Philosophy of Chemistry
Philosophy of Biology
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Philosophy of Math
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Auto
Building
EDC
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Network
Quadratic Residues
Quadratic Residues
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Contents
Quadratic Residues