MATH114 CALCULUS II
| Course Code: | 2360114 |
| METU Credit (Theoretical-Laboratory hours/week): | 5 (4.00 - 2.00) |
| ECTS Credit: | 7.5 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Assoc.Prof.Dr. MEHMET FIRAT ARIKAN, Prof.Dr. ÖMER KÜÇÜKSAKALLI |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
At the end of the course students are expected to:
Use integration to compute area between curves. Make use of some techniques (such as Integration by Parts, Inverse Trigonometric Substitutions, etc.) to compute proper and improper integrals, Compute Arc Length, Volumes and Surface Areas of Solids of Revolutions, Compute the limits of sequences and infinite series, make use of Taylor series to represent functions, make use of vectors and coordinates to describe objects in three-dimensional space and solve problems related to geometry of such objects and their interactions. Have an understanding of Functions of several variables: their limits, continuity, partial derivatives, extreme values, tangent planes and linear approximations.
Course Content
Substitution. Areas between curves. Integration Techniques, Improper integrals. Arc length. Volumes and surface areas of solids of revolution. Parametric plane curves. Polar coordinates. Arc length in polar coordinates. Sequences and infinite series. Power series. Taylor series. Functions of several variables: limits, continuity, partial derivatives. Chain rule. Directional derivatives. Tangent planes and linear approximations. Extreme values. Lagrange multipliers.
Course Learning Outcomes
At the end of the course students are expected to:
Use integration to compute area between curves. Make use of some techniques (such as Integration by Parts, Inverse Trigonometric Substitutions, etc.) to compute proper and improper integrals, Compute Arc Length, Volumes and Surface Areas of Solids of Revolutions, Compute the limits of sequences and infinite series, make use of Taylor series to represent functions, make use of vectors and coordinates to describe objects in three-dimensional space and solve problems related to geometry of such objects and their interactions. Have an understanding of Functions of several variables: their limits, continuity, partial derivatives, extreme values, tangent planes and linear approximations.
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