MATHEMATIC METHODS FOR CHEMISTS
Course Name Code Regular Semester ECTS Credits Credits Lecture 2
Application 0
MATHEMATIC METHODS FOR CHEMISTS 0242012 4 2 2 Laboratory (Hour/Week) 0
Course Language TURKISH
Compulsory or Elective Compulsory
Equipment -
Instructor Prof.Dr.Abdürrezzak Emin BOZDOĞAN
Course Contents Coordinate systems. Cartesian, plane polar and spherical polar coordinates. The complex numbers and use in chemistry. The complex plane. Equations.functions and graphs. Equations of the first and second degree. Exponential functions.The Boltzmann equation. The exponential functions in spectroscopy, kinetics, electrochemical kinetics, gas kinetics and thermodynamics.Logarithms. Uses of logarithms in chemistry-the p scale.Logarithms in thermodynamic and kinetic equations.The dependence of rate on temperature. The Beer-Lambert law.Using logarithms to find relationships between variables.Trigonometric functions.The uses of sines and waves in chemistry. Circular functions. Roots to polynomial equations. The Binomial theorem and Pascal's triangle. Dimensional analysis. Differential calculus. Derivatives of functions of single variables. Partial derivatives . The total differential. Geometric properties of derivatives. Constrained maxima and minima. Integral calculus.General and special methods of integration. Line integrals and thermodynamic. Double and triple integrals. Differential equations.First-order and second-order differential equations. General series method of solution. Hermit's , Laguerre's and Legendre's equations. Exact and inexact differentials. Partial differential equations. Differential equations in kinetics and thermodynamic. Infinite series.Maclaurin and Taylor series.Fourier series and Fourier transformations.Vectors. Addition and multiplication of vectors.Vectors in chemistry. Matrices and determinants. Square matrices and determinanats. Matrix algebra. Solution of systems of linear equations. Characteristic equation of a matrix. Operators. Vector operators. Eigenvalue equations.Hermitian operators. Rotational operators. Permutations. Configurations and microstates.The Boltzmann distribution.
Course Objectives Application of the basic mathematical principles in chemistry.
Course Outcomes
(The knowledge and the skills that the student will gain at the end of the course)
  1. Modellling and solution of the chemical problems.
Textbook
  1. P.Tebbutt,"Basic Mathematics for Chemists", 2 nd Ed.,Wiley,1998.
  2. J.R.Barrente,"Applied Mathematics for Physical Chemistry", 2 nd Ed.,Prentice-Hall,1998.
  3. R.G.Mortimer,"Mathematics for Physical Chemistry",Macmillan,1981.
Additional References
  1. A.J.Washington,"Basic Technical Mathematics",6 th Ed., Addison-Wesley,1995.
Prerequisite Courses -
Prerequisite Subjects -
Homework/Project -
Laboratory -
Computer Applications -
Additional Practices -
Course Evaluation Criteria
Number Effective Proportion %
Midterm Exams 2 60
Quiz - -
Homework - -
Term Projects - -
Term Papers - -
Laboratory - -
Other - -
Final Exam 1 40
Division of Course Credit (%) Basic Sciences 100 %
Basic Engineering and Departmental Core Courses - %
Departmental Core Courses - %
Social Sciences - %

WEEKLY COURSE PLAN
Week Subject
1 Coordinate systems. Cartesian,plane polar and spherical polar coordinates. The comlex numbers and yse in chemistry. The complex plane.
2 Equations of the first and second degree. Exponential functions.The Boltzmann equation.The exponential functions in spectroscopy, kinetics,electrochemical kinetics, gas kinetics and thermodynamics.
3 Logarithms.Uses of logarithms in chemistry -the p scale. Logarithms in thermodynamic and kinetic equation.The dependence of rate an temperature. The Beer-Lambert law.Trigonometric functions. Circular functions. Roots to polynomial equations. The Binomial theorem and Pascal's triangle..Dimensional analysis.
4 Derivatives of functions of single variables.Partial derivatives.The total differential.Geometric properties of derivatives. Constrained maxima and minima.
5 General and special methods of integration.Line integrals and thermodynamic. Double and triple integrals.
6 First-order and second-order differential equations.General series method of solution.
7 Hermit's,Laguerre's and Legendre's equations.Exact and inexact differentials.Partial differential equations. Differential equations in kinetics and thermodynamic.
8 Infinite series. Maclaurin and Taylor series.Fourier series and Fourier transformations.(Midterm exam)
9 Vectors.Addition and multiplication of vectors.Vectors in chemistry.
10 Matrices and determinants.Square matrices and determinants. Matrix algebra.
11 Solution of systems of linear equations.Characteristic equation of a matrix.
12 Operators. Vector operators.Eigenvalue equations.
13 Hermitian operators.Rotational operators.
14 Permutations.Cofigurations and microstates (Midterm exam)
15 The Boltzmann distribution.

Prepared by Prof.Dr.Abdürrezzak Emin BOZDOĞAN Date 24.02.2004