MATH124 INTRODUCTION TO LINEAR ALGEBRA AND ANALYTIC GEOMETRY
| Course Code: | 2360124 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 4.5 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Assist.Prof.Dr BURAK KAYA |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
At the end of the course, students will be able to:
• Demonstrate comprehension of operations on matrices and to perform elementary operations on matrices.
• Recognize consistent, inconsistent and over determined systems, and discuss their solutions and solve systems of linear equations.
• Perform vector operations, recognize vector spaces and determine whether two vectors are orthogonal, parallel, or neither by using dot and cross products.
• Construct different expressions for the equations of the lines and planes and solve problems related to the intersection of lines and planes.
• Recognize the equations of surfaces in the space and solve problems related to intersection of them.
Course Content
Fundamental Principle of Analytic Geometry, Coordinate Systems in R^2 and R^3 vectors in R^2 and R^3. Dot product, cross product, lines, planes, distance, vector spaces, systems of linear equations, matrices, diagonalization of 2x2 and 3x3 matrices, conic sections and quadric surfaces, classification of quadric surfaces and curves (as an application of diagonalization).
Course Learning Outcomes
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Acquires mathematical thinking skills (problem solving, generating ways of thinking, forming correspondence, generalizing etc.) and can use them in related fields. | ✔ | |||
| 2 | Can produce innovative thoughts and products. | ✔ | |||
| 3 | Can design mathematics related problems, devise solution methods and apply them when appropriate. | ✔ | |||
| 4 | Has a comprehension of mathematical symbols, concepts together with the interactions among them and can express his/her solutions similarly. | ✔ | |||
| 5 | Has a command of Turkish and English languages so that he/she can actively communicate (read, write, listen and speak). | ✔ | |||
| 6 | Contributes to solving global, environmental and social problems either individually or as being part of a social group. | ✔ | |||
| 7 | Respects ethical values and rules; applies them in professional and social issues. | ✔ | |||
| 8 | Can work cooperatively in a team and also individually. | ✔ | |||
| 9 | Is responsive to life-long learning, improving his/her skills and abilities | ✔ | |||
| 10 | Comprehends necessity of knowledge, can define it and acquires it; uses knowledge effectively and shares it with others | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution