Basic functions; their properties and applications to modeling. Rate of change, limit, derivative and linear approximation. Computational techniques. Local and global extrema. Applications to optimization problems. The definite integral. Antiderivatives and the Fundamental Theorem of Calculus. Integration techniques. Improper integrals. Applications.
Calculus I (MATH 101)
2021 Fall
Faculty of Engineering and Natural Sciences
Mathematics(MATH)
3
5.00 / 6.00 ECTS (for students admitted in the 2013-14 Academic Year or following years)
Şirin Kaya sirincaliskan@sabanciuniv.edu, Kağan Kurşungöz kursungoz@sabanciuniv.edu, Ayesha Asloob Qureshi aqureshi@sabanciuniv.edu, İnanç Arın -inancarin@sabanciuniv.edu,
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English
Undergraduate
--
Formal lecture,Interactive lecture,On-line task/distance,Recitation
Interactive,Learner centered,Communicative,Discussion based learning,Guided discovery
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| Programs\Type | Required | Core Elective | Area Elective |
| BA- Political Science | |||
| BA-Cultural Studies | |||
| BA-Cultural Studies | |||
| BA-Economics | |||
| BA-Economics | |||
| BA-International Studies | |||
| BA-International Studies | |||
| BA-Management | |||
| BA-Management | |||
| BA-Political Sci.&Inter.Relat. | |||
| BA-Political Sci.&Inter.Relat. | |||
| BA-Psychology | |||
| BA-Psychology | |||
| BA-Social & Political Sciences | |||
| BA-Visual Arts&Visual Com.Des. | |||
| BA-Visual Arts&Visual Com.Des. | |||
| BS-Biological Sci.&Bioeng. | |||
| BS-Computer Science & Eng. | |||
| BS-Computer Science & Eng. | |||
| BS-Electronics Engineering | |||
| BS-Electronics Engineering | |||
| BS-Industrial Engineering | |||
| BS-Manufacturing Systems Eng. | |||
| BS-Materials Sci. & Nano Eng. | |||
| BS-Materials Science & Eng. | |||
| BS-Mechatronics | |||
| BS-Mechatronics | |||
| BS-Microelectronics | |||
| BS-Molecular Bio.Gen.&Bioeng | |||
| BS-Telecommunications |
CONTENT
OBJECTIVE
To teach fundamental notions of calculus in single variable.
LEARNING OUTCOME
Understand and use basic properties of elementary functions
Understand the idea of limit analytically/graphically, and evaluate limits
Understand the definition of derivative and its geometric meaning
Compute derivatives using standard differentiation techniques
Apply the notion of derivative graphing and optimization problems
Understand the definition of definite integral and its geometric meaning
Compute integrals using standard integration techniques
Update Date:
ASSESSMENT METHODS and CRITERIA
| Percentage (%) | |
| Final | 35 |
| Midterm | 30 |
| Exam | 10 |
| Assignment | 15 |
| Participation | 10 |
| Homework | 5 |
RECOMENDED or REQUIRED READINGS
| Textbook |
Calculus Early Transcendentals 2nd Edition (Global Edition), Briggs, Cochran & Gillett, Pearson. For online homeworks, students must have a personal account on Pearson Mylab. New students should purchase the book together with the access code. |