MATH115 ANALYTIC GEOMETRY

Course Code:2360115
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:Prof.Dr. MOHAN LAL BHUPAL
Offered Semester:Fall Semesters.

Course Objectives

Familiarize the student with the basic concepts of analytic geometry in the plane and space, and prepare him for later courses in advanced calculus and linear algebra.


Course Content

Fundamental principles of Analytic Geometry. Cartesian coordinates in plane and space. Lines in the plane. Review of trigonometry and polar coordinates. Rotation and translation in the plane. Vectors in plane and space. Lines and planes in 3-space. Basics about conics. Basic surfaces in space, cylinders, surface of revolutions, quadric surfaces. Cylindrical and spherical coordinates.


Course Learning Outcomes

Student, who passed the course satisfactorily will be able to:

  • work on Cartesian, cylinderical and spherical coordinate systems
  • write and identify the equations of lines (in R^2 and  R^3 ) and planes
  • use basic vector properties and algebra of vectors
  • write the equations of conic sections and identify them
  • identify the basic surfaces in space, cylinders, surface of revolutions, quadratic surfaces

Program Outcomes Matrix

Level of Contribution
#Program Outcomes0123
1Acquires mathematical thinking skills (problem solving, generating ways of thinking, forming correspondence, generalizing etc.) and can use them in related fields.
2Can produce innovative thoughts and products.
3Can design mathematics related problems, devise solution methods and apply them when appropriate.
4Has a comprehension of mathematical symbols, concepts together with the interactions among them and can express his/her solutions similarly.
5Has a command of Turkish and English languages so that he/she can actively communicate (read, write, listen and speak).
6Contributes to solving global, environmental and social problems either individually or as being part of a social group.
7Respects ethical values and rules; applies them in professional and social issues.
8Can work cooperatively in a team and also individually.
9Is responsive to life-long learning, improving his/her skills and abilities
10Comprehends 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