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Mathematics
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Euclidean Trigonometry
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The Calculus
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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
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Line Integrals of Vector Fields
Curves & Surfaces and their Parameterizations
Coordinate Systems
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Cylindrical Coordinates
Spherical Coordinates
Transformations
Matrix Calculus
Tensor Calculus
Variational Calculus
Functions
Absolute Value
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
Arithmetic
Fractions
Mathematical Induction
Binomial
Fibonacci
Division
Residues
Arithmetic Functions
Polynomials
Primitive Roots
Quadratic Residues
Exercises
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Book:
Numbers, Groups, and Codes
Introduction
GCD & Euclid’s Algorithm
Congruence
Linear Congruences
1.1
1.2
1.3
1.4
1.5
Logic
Introduction
Discrete Mathematics
Elementary Set Theory
Order Theory
Relations
Combinatorics
Formal Languages and Machines
Error-Correcting Codes
FCCT
Introduction to error-correcting codes
The main coding theory problem
Exercises
ECFF
Introduction & Block Codes, Weight, and Distance
Exercises
Codes
Repetition Codes
Parity Check Codes
Triple Check Code
Intro to binary codes C1, C2, C3
(32,64,16) Reed-Muller Code
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
More Math
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\(k\)
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\(k\)
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Trees
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Lucas Numbers
Bellman-Ford
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
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Articulatory Phonetics
The Acoustic Theory of Speech Production
Speech Processing
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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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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
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Friendship and Love
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