| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Maths for Chemists | KIM231 | 3. Semester | 4 + 0 | 4.0 | 6.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Prof. Dr. EMİNE TEKİN |
| Instructors |
EMİNE TEKİN |
| Assistants | |
| 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 |
| Learning Outcomes |
- 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 | Learning Methods |
|---|---|---|
| 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 |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 4 | 0 | - |
| PY2 | 4 | 0 | - |
| PY3 | 3 | 0 | - |
| PY4 | 3 | 0 | - |
| PY5 | 3 | 0 | - |
| PY6 | 2 | 0 | - |
| PY7 | 4 | 0 | - |
| PY8 | 3 | 0 | - |
| PY9 | 3 | 0 | - |
| PY10 | 5 | 5 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 4 | 56 |
| Preparation, After Class Study | 14 | 2 | 28 |
| Research | 9 | 5 | 45 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 1 | 14 | 14 |
| Final | 1 | 2 | 2 |
| Practice | 6 | 1 | 6 |
| Total Workload | 153 | ||
| ECTS Credit of the Course | 6.0 | ||
