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
      Total Workload: 150
      ECTS Credit (Total workload/25): 6