Rapor Tarihi: 24.02.2026 22:01
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Mathematics For Chemists | KMY231 | Turkish | Compulsory | 3. Semester | 3 + 0 | 3.0 | 4.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Prof. Dr. EMİNE TEKİN |
| Instructor(s) | |
| Goals | Is intended to teach basic math concepts and the use of equations of chemical processes. |
| Course Content | Coordinate systems Functions and graphs Logarithms Differential calculus Integral calculus Differential equations Infinite series Scalars and vectors Matrices and determinants Operators Numerical analysis Mathematica® Applications in Chemistry |
| # | Öğrenme Kazanımı |
| 1 | To be able to gain an experience and practice to define and explain necessary and basic mathematical techniques and applications encountered in subjects areas such as thermodynamics, quantum mechanics and physical chemistry. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Coordinate systems. Cartesian, plane polar and spherical polar coordinates. Complex numbers and its usage in chemistry. Complex plane | |
| 2. Week | Functions and graphs. Graphical representation of functions. Roots to polynomial equations. | |
| 3. Week | Logarithms. General properties of logarithms. Common logarithms, natural logarithms. | |
| 4. Week | Differential calculus : Functions of single variables. Functions of several variables. Partial derivatives, total differential, exact differential. Geometric properties of derivatives. Constrained maxima and minima. | |
| 5. Week | Integral calculus : proper and improper integral; general methods of integration; applications of proper integrals; multiple integrals. | |
| 6. Week | Differential equations : classifications of ordinary differential equations and their solutions; partial differential equations; wave equation; Schrödinger’s equation; special polynomial solutions : Hermite equation; Laguerre equation | |
| 7. Week | Infinite series : Tests for convergence and divergence; power series; Taylor ve Maclaurin series; Binomial series; Fourier series and Fourier transformations. | |
| 8. Week | Midterm exam | |
| 9. Week | Scalars and vectors : Scalars; vectors; summation of vectors; multiplications of vectors. Vector applications. | |
| 10. Week | Matrices and determinants : Square matrices and determinants; matrix algebra; solution of systems of linear equations; eigen values and eigen vectors. | |
| 11. Week | Operators : vector operators; eigen values and eigen functions; Hamiltonian operators; Hermitian operators; rotational operators; transformation of coordinate systems. | |
| 12. Week | Numerical analysis; Numerical methods : Newton-Raphson method; numerical integration. Basic statistics and error analysis : probability, experimental errors; propagation of errors; least square method and curve fitting. | |
| 13. Week | Mathematica® Applications in Chemistry | |
| 14. Week | Mathematica® Applications in Chemistry |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | In addition to expanding and making deeper the knowledge established on high school education in a same or different area, to be able to reach knowledge, evaluate and interpret it to be able to do practice. | ✔ | |||||
| 2 | By utilizing incomplete or limited data in his or her study area, to be able to expand the knowledge by scientific methods and use them in scientific, social and ethical responsibility | ✔ | |||||
| 3 | To be able to define a problem, propose a solution method, solve it, evaluate the results and apply if it is necessary in his or her area | ✔ | |||||
| 4 | To be able to transfer systematically the current developments, his or her studies to the other people as written, orally and visually | ✔ | |||||
| 5 | To be able to develop new strategic approach and produce solutions by taking responsibility in unexpected and complicated situations in his or her area of practice. | ✔ | |||||
| 6 | To be able to develop strategic, political and practice plans and evaluate the results by taking into account the quality process in his or her study area. | ✔ | |||||
| 7 | To have knowledge about software and hardware about computers and be able to use and improve data processing and communication abilities | ✔ | |||||
| 8 | To be able to watch scientific, social, and ethical values and teach and control them in the step of data collection, evaluation and announcement of them. | ✔ | |||||
| 9 | To have a knowledge about work safety, work healty, social security rights, quality control, quality management and environmental proteciton concepts. | ✔ | |||||
| 10 | To be able to apply the digested knowledge and problem solving ability in the collaborations between different groups | ✔ | |||||
| Program Requirements | DK1 |
|---|---|
| PY1 | 4 |
| PY2 | 4 |
| PY3 | 3 |
| PY4 | 3 |
| PY5 | 3 |
| PY6 | 2 |
| PY7 | 4 |
| PY8 | 3 |
| PY9 | 3 |
| PY10 | 5 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 3 | 42 |
|
Ders Dışı |
Homework | 5 | 1 | 5 |
| Preparation, After Class Study | 12 | 1 | 12 | |
| Research | 12 | 1 | 12 | |
| Other Activities | 14 | 2 | 28 | |
|
Sınavlar |
Midterm 1 | 1 | 1.5 | 1.5 |
| Final | 1 | 1.5 | 1.5 | |
| Total Workload | 102 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 4.0 | ||
