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Code MATH 101
Term 201701
Title Calculus I
Faculty Faculty of Engineering and Natural Sciences
Subject Mathematics(MATH)
SU Credit 3
ECTS Credit 5.00 / 6.00 ECTS (for students admitted in the 2013-14 Academic Year or following years)
Instructor(s) Nilay Duruk Mutlubas nilaydm@sabanciuniv.edu, Cem Guneri guneri@sabanciuniv.edu, Albert Erkip albert@sabanciuniv.edu,
Detailed Syllabus
Language of Instruction English
Level of Course Undergraduate
Type of Course Click here to view.
Prerequisites
(only for SU students)
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Mode of Delivery Formal lecture,On-line task/distance,Recitation
Planned Learning Activities 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
Understand the idea of integration over unbounded intervals and compute them.

Programme Outcomes
 
Common Outcomes For All Programs
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 in Turkish and English by oral, written, graphical and technological means. 3
5 Take individual and team responsibility, function effectively and respectively as an individual and a member or a leader of a team; and have the skills to work effectively in multi-disciplinary teams. 1
Common Outcomes ForFaculty of Eng. & Natural Sci.
1 Possess sufficient knowledge of mathematics, science and program-specific engineering topics; use theoretical and applied knowledge of these areas in complex engineering problems. 5
2 Identify, define, formulate and solve complex engineering problems; choose and apply suitable analysis and modeling methods for this purpose. 3
3 Develop, choose and use modern techniques and tools that are needed for analysis and solution of complex problems faced in engineering applications; possess knowledge of standards used in engineering applications; use information technologies effectively. 1
4 Ability to design a complex system, process, instrument or a product under realistic constraints and conditions, with the goal of fulfilling specified needs; apply modern design techniques for this purpose. 1
5 Design and conduct experiments, collect data, analyze and interpret the results to investigate complex engineering problems or program-specific research areas. 1
6 Knowledge of business practices such as project management, risk management and change management; awareness on innovation; knowledge of sustainable development. 1
7 Knowledge of impact of engineering solutions in a global, economic, environmental, health and societal context; knowledge of contemporary issues; awareness on legal outcomes of engineering solutions; understanding of professional and ethical responsibility. 1
Common Outcomes ForFaculty of Arts & Social Sci.
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
Common Outcomes ForSchool of Management
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 30
Midterm 60
Exam 10
Recommended or Required Reading
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