INTERNATIONAL BURCH UNIVERSITY
Faculty of Engineering and Natural Sciences
Department of Information Technologies
2016-2017

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

 Instructor Assistant Coordinator Jasmin Kevrić, Assist. Prof. Dr. Jasmin Kevric Recep Zihni, Senior Teaching Assistant [email protected] [email protected] no email

 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.

COURSE CONTENT
Week
Topic

LABORATORY/PRACTICE PLAN
Week
Topic

TEACHING/ASSESSMENT
Description
• Interactive Lectures
• Practical Sessions
• Excersises
• Presentation
• Problem solving
• Assignments
Description (%)
Method Quantity Percentage (%)
Quiz1010
Midterm Exam(s)130
Term Paper115
Attendance15
Final Exam140
Total: 100
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
Activities Quantity Duration (Hour) Total Work Load
Lecture (14 weeks x Lecture hours per week)14342
Laboratory / Practice (14 weeks x Laboratory/Practice hours per week)14228
Midterm Examination (1 week)122
Final Examination(1 week)122
Preparation for Midterm Examination11515
Preparation for Final Examination12525
Assignment / Homework/ Project13636
Seminar / Presentation 0