INTERNATIONAL BURCH UNIVERSITY
Faculty of Engineering and Natural Sciences
Department of Information Technologies
20142015
SYLLABUS 
Code 
Name 
Level 
Year 
Semester 
MTH 101 
Calculus I 
Undergraduate 
1 
Fall 
Status 
Number of ECTS Credits 
Class Hours Per Week 
Total Hours Per Semester 
Language 
Compulsory 
6 
3 + 2 
651 
English 
Instructor 
Assistant 
Coordinator 
Recep Zihni, Senior Teaching Assistant 

Hakan Şahin, Research Assistant 
[email protected] 

no email 
COURSE OBJECTIVE 
Expand understanding of mathematical topics that may have been previously studied. Introduce and explore topics that possibly have not been part of the student’s mathematical experience. Develop an appreciation for the development of mathematical thought and the contributions that mathematics has made to our world. To learn the application of mathematics in real life problems and analyzing the results. 
COURSE CONTENT 
 Preliminaries: Functions and graphs
 Preliminaries: Inverse functions and trigonometric functions
 Limits and Continuity: Limits, limits involving infinity
 Limits and Continuity: Continuity and tangent lines
 Derivatives: Rate of change
 Derivatives: Derivative rules and properties
 Derivatives: Chain rule & implicit derivative
 M I D T E R M
 Application of Derivatives: Extreme values, mean value theorem
 Application of Derivatives: Concavity and Curve Sketching
 Application of Derivatives: Indeterminate forms and L’Hospital rule
 Integration: Estimating with finite sums, Riemann sum, the definite integral
 Integration: The fundamental theorem of calculus
 Integrals and transcendental functions

Description 
 Lectures
 Excersises
 Assignments

Description (%) 
Quiz   25  Midterm Exam(s)   25  Final Exam  1  50 

Learning outcomes 
 Knowledge of the underlying concepts and principles associated with computing and supporting technologies, and the ability to evaluate and interpret these within the context of various areas of application
 An ability to present, evaluate and interpret possible solutions to a given problem, in order to develop lines of argument and make sound judgments in accordance with basic theories and concepts of computing.
 Apply theory, techniques and relevant tools to the specification, analysis, design, implementation and testing of a simple computing product;

TEXTBOOK(S) 
 James Stewart, Calculus, Sixth Edition
 Thomas\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'s Calculus, Eleventh edition, Pearson International edition;

ECTS (Allocated based on student) WORKLOAD 
Lecture (14 weeks x Lecture hours per week)  5  80  400  Laboratory / Practice (14 weeks x Laboratory/Practice hours per week)  13  13  169  Midterm Examination (1 week)  9  9  81  Final Examination(1 week)  1  1  1  Preparation for Midterm Examination    0  Preparation for Final Examination  7   0  Assignment / Homework/ Project    0  Seminar / Presentation    0 
