INTERNATIONAL BURCH UNIVERSITY
Faculty of Engineering and Natural Sciences
Department of Information Technologies
20162017
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 
150 
English 
Functions, Limits, continuity and derivatives. Applications. Extreme values, the Mean Value Theorem and its applications. Graphing. The definite integral. Area and volume as integrals. The indefinite integral. Transcendental functions and their derivatives. L\\'Hopital\\'s rule. Techniques of integration. 
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 analysing the results. 
Description 
 Interactive Lectures
 Practical Sessions
 Excersises
 Presentation
 Problem solving
 Assignments

Description (%) 
Quiz  10  10  Midterm Exam(s)  1  30  Term Paper  1  15  Attendance  1  5  Final Exam  1  40 

Learning outcomes 
 use the definition of a limit and determine limits;
 formulate and derive properties for maxima, minima and intermediate values of continuous functions;
 use continuous, monotone and invertible functions to solve some equations analytically and others numerically;
 use and understand derivatives for studying graphs, analyse inequalities and solve optimization problems;
 formulate the definition of an integral and analyse integrability;
 determine some integrals by primitive functions;
 use integrals to determine area, volume and length of curves

TEXTBOOK(S) 
 James Stewart, Essential Calculus. Early Transcendentals, Second Edition, Cengage Learning, 2013.

ECTS (Allocated based on student) WORKLOAD 
Lecture (14 weeks x Lecture hours per week)  14  3  42  Laboratory / Practice (14 weeks x Laboratory/Practice hours per week)  14  2  28  Midterm Examination (1 week)  1  2  2  Final Examination(1 week)  1  2  2  Preparation for Midterm Examination  1  15  15  Preparation for Final Examination  1  25  25  Assignment / Homework/ Project  1  36  36  Seminar / Presentation    0 
