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

📂 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

🔥 Problems

• 📂 Algebra
• 📂 Discrete Mathematics
• 📂 Calculus
• 📂 Probability and Statistics
• 📂 Numerical Methods
• 📄 How problems are done?

🧑 Notes/extra

• 📄 list of derivative rules