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Preparatory Course in Mathematics for Physicists and Materials Scientists


  • Elementary functions
    • General remarks on functions and their graphical representation
    • Linear functions and systems of linear equations
    • Polynomials and solution of quadratic equations
    • Rational functions
    • Powers
    • Trigonometric functions
    • Exponential function
    • Logarithm
  • Vector analysis
    • Vectors and their component representation
    • Scalar product
    • Cross product
    • Multiple products
  • Differential calculus
    • Derivatives and their meaning
    • Derivatives of elementary functions
    • Product rule and quotient rule
    • Chain rule
  • Integral calculus
    • The integral and its meaning
    • Fundamental theorem of calculus
    • Indefinite integrals of elementary functions
    • Definite integrals
    • Improper integrals
    • Partial integration
    • Integration by substitution