Tutoring Mathematics

Unlock Your Mathematical Potential: Expert Tutoring for University-Level Math

Are you grappling with the complexities of advanced mathematics? Do you need personalized guidance and support to excel in your coursework? Look no further! I offer expert tutoring services tailored to the unique needs of university students like you. With a deep passion for mathematics and years of experience helping students succeed, I can provide the clarity, confidence, and skills you need to conquer even the most challenging concepts. Whether you’re struggling with a specific topic or seeking comprehensive support throughout the semester, I’m here to help you achieve your academic goals and unlock your full mathematical potential.

Advanced Mathematics Courses:

  • Calculus
    • Multivariable Calculus
      • Partial Derivatives
      • Multiple Integrals
      • Line Integrals
      • Surface Integrals
      • Green’s Theorem, Stokes’ Theorem, Divergence Theorem
    • Vector Calculus
      • Vector Fields
      • Divergence and Curl
      • Line Integrals and Surface Integrals in Vector Fields
    • Differential Equations (Ordinary and Partial)
      • First-Order ODEs
      • Second-Order ODEs
      • Systems of ODEs
      • Laplace Transforms
      • Series Solutions
  • Linear Algebra
    • Matrix Theory
      • Matrix Operations (addition, multiplication, inverse, etc.)
      • Determinants
      • Gaussian Elimination
      • Eigenvalues and Eigenvectors
    • Linear Transformations
      • Kernel and Range
      • Composition and Inverses
      • Matrix Representation
    • Eigenvalues and Eigenvectors
      • Diagonalization
      • Applications (e.g., systems of differential equations)
  • Real Analysis
    • Sequences and Series
      • Convergence and Divergence
      • Tests for Convergence
      • Power Series
    • Continuity and Differentiability
      • Limits and Continuity
      • Derivatives and Mean Value Theorem
      • Taylor’s Theorem
    • Integration
      • Riemann Integration
      • Improper Integrals
  • Number Theory
    • Elementary Number Theory
      • Divisibility, Primes, Congruences
      • Diophantine Equations
  • Numerical Analysis
    • Methods for Finding Roots of Non-linear Equations
      • Bisection Method
      • Newton’s Method
      • Secant Method
      • Fixed-Point Iteration
    • Numerical Methods for Differential Equations
      • Euler’s Method
      • Runge-Kutta Methods
      • Finite Difference Methods
    • Numerical Linear Algebra
      • Matrix Factorizations (LU, QR)
      • Iterative Methods
  • Probability and Statistics
    • Probability Theory
      • Random Variables
      • Probability Distributions
      • Expected Value and Variance
    • Statistical Inference
      • Hypothesis Testing
      • Confidence Intervals
      • Regression Analysis
    • Stochastic Processes
      • Markov Chains
      • Poisson Processes
  • Discrete Mathematics
    • Graph Theory
      • Trees, Planar Graphs
      • Coloring Problems
    • Combinatorics
      • Permutations and Combinations
      • Generating Functions