README.MD

University-Math

This Repository was put together for the common goal of creating a collective Math repository. Some of the Math below was required for completing a 3-year BSc in Computer Science at my University . Each folder is labelled by topic. See the below tree diagram to help navigate the repository.

Content will still be missing and therefore I have incorparated external work, exams and tests. The Math Problems folders will have Exams, tests or small problems to solve. Solutions are given too.

To See all University-Code

Folder Structure

Base

| README
|
| Algebra
|   |
│   └─── Linear Algebra
│   │   └─── Matrix Theory (Matrices, Determinants, Linear Equations)
│   │   └─── Vector Spaces (Subspaces, Basis, Dimension)
│   │   └─── Eigenvalues and Eigenvectors
|   |
│   └─── Advanced Linear Algebra (Year 2)
│       └─── Matrix Decompositions (LU, QR, SVD)
│       └─── Inner Product Spaces, Diagonalization
│       └─── Applications to Computer Science (Data Science, Machine Learning)
│
| Discrete Mathematics
|   |
│   └─── Combinatorics
│   └─── Propositional Logic and Predicate Logic
│   └─── Set Theory and Relations
│   └─── Proof Techniques (Induction, Contradiction, Direct Proof)
|   |
│   └─── Advanced Discrete Mathematics (Year 2)
│       └─── Graph Theory (Graphs, Trees, Networks)
│       └─── Number Theory (Prime Numbers, Divisibility, Modular Arithmetic)
│       └─── Applications to Cryptography and Algorithms
│
| Calculus
|   |
│   └─── Calculus I
│   │   └─── Differentiation (Limits, Continuity, Derivatives)
│   │   └─── Applications of Differentiation (Optimization Problems)
│   │   └─── Integration (Definite and Indefinite Integrals)
│   │   └─── Applications of Integration (Area under Curves)
|   |
│   └─── Calculus II
│       └─── Multivariable Calculus (Partial Derivatives, Multiple Integrals)
│       └─── Vector Calculus (Gradient, Divergence, Curl)
│       └─── Differential Equations (Introduction and Applications)
│
| Probability and Statistics (Year 2)
|   |
│   └─── Basic Probability Concepts
│   └─── Random Variables and Probability Distributions
│   └─── Expectation, Variance, Covariance
│   └─── Descriptive Statistics
│   └─── Hypothesis Testing and Confidence Intervals
│   └─── Linear Regression and Correlation
│
| Numerical Methods (Year 2)
|   |
│   └─── Numerical Analysis (Error Analysis, Numerical Stability)
│   └─── Numerical Solutions (Linear/Nonlinear Equations, Integration)
│   └─── Applications to Scientific Computing
|   
| Notes/extra
│   
└─── End