### Calculus I (MATH 101)

2020 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)
Nilay Duruk Mutlubaş nilaydm@sabanciuniv.edu, Matteo Paganin paganin@sabanciuniv.edu, Albert Erkip albert@sabanciuniv.edu,
English
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Interactive,Learner centered,Communicative,Discussion based learning,Guided discovery

### CONTENT

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.

### 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

### ASSESSMENT METHODS and CRITERIA

 Percentage (%) Midterm 60 Exam 15 Assignment 15 Participation 10