CHEM257 MATHEMATICS FOR CHEMISTS
| Course Code: | 2340257 |
| METU Credit (Theoretical-Laboratory hours/week): | 4 (4.00 - 0.00) |
| ECTS Credit: | 7.0 |
| Department: | Chemistry |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
At the end of this course, the student will learn:
- techniques of calculus in 2 and 3 variables
- standard recipes used in solving differential equations
- basic concepts of linear algebra
Course Content
Functions of single and multivariables, partial differential, Laxgrange multipliers. Newton-Raphson method. Numerical integration. First order differential equations of types exact, linear, homogenous, separable. Higher order differential equations with constant coefficients. Matrixes, and determinants. Set of linear equations. Emphasis on chemical problems.
Course Learning Outcomes
Student, who passed the course satisfactorily, will:
- learn complex numbers and complex-valued functions
- compute partial derivatives of functions of two or more variables
- learn how to change from one set of independent varaibles to another set in partial derivatives
- evaluate multiple integrals in Cartesian, polar, and cylindrical coordinates
- learn standard recipes for solving first order differential equations of types: separable, linear and homogoneous
- learn recipes for solving second order differential equations with constant coefficients
- learn the power series method for solving second order (linear, homogenous) differential equations with variable coefficients
- learn the "separation of variables" method in reducing a first or second order partial differential equation to a set of ordinary differential equations
- define expansion of a function into a set of orthogonal functions; learn Fourier series expansion of a given function
- learn two and three dimensional vectors and vector algebra
- learn properties of determinants and procedures for evaluating a determinant of any order
- learn solving linear simultaneous equations using alternative methods: Cramer's rule, Gauss elimination, matrix methods
- learn algebra of matrices
- learn matrix eigenvalue-eigenvector equations
- learn Newton-Raphson method for finding roots of functions
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Capable of designing solutions for a problem defined with a purpose by taking experimental steps, performing experiments, using standard and modern instruments, analysing data, interpreting results. | ✔ | |||
| 2 | Capable of using modern methods and computational tools necessary for chemistry applications. | ✔ | |||
| 3 | Capable of doing both disciplinary and interdisciplinary teamwork. | ✔ | |||
| 4 | Capable of acting independently, taking initiatives and having analytical thinking skills. | ✔ | |||
| 5 | Capable of using mathematics, physics and biology knowledge to solve chemistry problems. | ✔ | |||
| 6 | Capable of grasping the importance of lifelong learning, following the developments in science and technology and on contemporary issues for self development | ✔ | |||
| 7 | Capable of working individually and making independent decisions, expressing own ideas verbally and non-verbally. | ✔ | |||
| 8 | Capable of having professional and ethical responsibility. | ✔ | |||
| 9 | Competent in a foreign language to follow latest technological developments in chemistry. | ✔ | |||
| 10 | Capable of following the developments in chemistry both at national and international level. | ✔ | |||
| 11 | Capable of doing laboratory experiments, in a green and sustainable way, without harming humans, environment and nature, and taking the necessary precautions to reduce the harmful chemicals and waste. | ✔ | |||
| 12 | Capable of explaining the differences between chemistry and chemical engineering education and job descriptions at various levels including students, society and the industry. | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution