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,
English
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Learner centered,Communicative,Discussion based learning

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.

PROGRAMME OUTCOMES

1. Understand the world, their country, their society, as well as themselves and have awareness of ethical problems, social rights, values and responsibility to the self and to others. 1

2. Understand different disciplines from natural and social sciences to mathematics and art, and develop interdisciplinary approaches in thinking and practice. 5

3. Think critically, follow innovations and developments in science and technology, demonstrate personal and organizational entrepreneurship and engage in life-long learning in various subjects. 3

4. Communicate effectively by oral, written, graphical and technological means and have competency in English. 3

5. Take individual and team responsibility, function effectively and respectively as an individual and a member or a leader of a team. 1

1. Develop a thorough knowledge of theories, concepts, and research methods in the field and apply them in research design and data analysis. 1

2. Assess the impact of the economic, social, and political environment from a global, national and regional level. 1

3. Know how to access written and visual, primary and secondary sources of information, interpret concepts and data from a variety of sources in developing disciplinary and interdisciplinary analyses. 1

1. Possess and apply knowledge of mathematics, science, and engineering. 5

2. Design and conduct research, do experiments, as well as analyze and interpret data. 1

3. Identify, formulate, and solve engineering problems. 2

4. Use the techniques, skills, and modern engineering tools necessary for engineering practice. 1

5. Analyze, design and model engineering systems, components and processes. 1

1. Demonstrate an understanding of economics, and main functional areas of management. 1

2. Assess the impact of the economic, social, and political environment from a global, national and regional level. 1

ASSESSMENT METHODS and CRITERIA

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