MATH117 CALCULUS I
| Course Code: | 2360117 |
| 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: | Prof.Dr. CANAN BOZKAYA, Prof.Dr. SONGÜL KAYA MERDAN |
| Offered Semester: | Fall Semesters. |
Course Objectives
At the end of this course, the student will gain:
- an ability to apply knowledge of Mathematical science,
- an ability to identify, formulate, and solve scientific problems,
- a recognition of the need for, and an ability to engage in life-long learning.
Course Content
Functions and their graphs. Limits and continuity. Tangent lines and derivative. Chain rule. Implicit differentiation. Inverse functions. Related rates. Linear approximation. Extreme values. Mean Value Theorem and its applications. Sketching graphs. Indeterminate forms and L Hospital s rules. Exponential growth and decay. Definite integral. Fundamental Theorem Calculus. Substitution and areas between curves. Formal definition of natural logarithm function.
Course Learning Outcomes
At the end of the course students are expected to:
- Compute limits and carry out some basic proofs about limits and continuty,
- Compute derivatives and use them in applications such as computing rates of change, finding extreme values,
- Sketch graphs of functions by finding intervals of increase/decrease, concavity and asymptotes,
- Use transcendental functions including logarithms, exponentials and inverse trigonometric functions effectively,
- Compute integrals by the Riemann Sum defintion and use it to make approximations,
- Make use of basic techniques to compute proper integrals,
- Use integration to compute area between curves.
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