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.
| 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