MATH113 CALCULUS I
| Course Code: | 2360113 |
| 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 |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
Compute limits and carry out some basic proofs. Compute derivatives and use them in applications such as computing rates of change, finding extreme values, sketching 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 definition and use it to make approximations. Make use of basic techniques to compute proper integrals.
Course Content
Functions. Limits and Continuity. Tangent lines and derivatives. Chain rule. Implicit differentiation. Inverse functions. Related rates. Linear approximations. Extreme values. Mean Value Theorem and its applications. Sketching graphs. indeterminate forms and L'Hospital's rules. Definite integral, Antiderivatives and the Indefinite integral. Fundamental Theorem of Calculus.
Course Learning Outcomes
Compute limits and carry out some basic proofs. Compute derivatives and use them in applications such as computing rates of change, finding extreme values, sketching 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 definition and use it to make approximations. Make use of basic techniques to compute proper integrals.
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