Skip to content

Latest commit

 

History

History
105 lines (92 loc) · 3.51 KB

README.MD

File metadata and controls

105 lines (92 loc) · 3.51 KB
Raw

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