Calculus I (MATH 101)

2015 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)
Cem Güneri guneri@sabanciuniv.edu, Albert Erkip albert@sabanciuniv.edu, Şirin Kaya sirincaliskan@sabanciuniv.edu,
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English
Undergraduate
--
Formal lecture,On-line task/distance,Recitation
Learner centered,Communicative,Discussion based learning
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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
Understand the idea of integration over unbounded intervals and compute them.

ASSESSMENT METHODS and CRITERIA

  Percentage (%)
Final 24
Midterm 48
Exam 20
Participation 5
Homework 10
Other 3

RECOMENDED or REQUIRED READINGS

Textbook

Calculus Single and Multivariable, 6th Edition, Hughes-Hallett, Gleason, McCallum et al, Wiley.

For online homeworks, students must have a personal account on wileyplus.com . New students should purchase the book together with the access code.

Course Web sucourse