INTERNATIONAL BURCH UNIVERSITY
Faculty of Engineering and Natural Sciences
Department of Information Technologies
2014-2015

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
Week
Topic
  1. Preliminaries: Functions and graphs
  2. Preliminaries: Inverse functions and trigonometric functions
  3. Limits and Continuity: Limits, limits involving infinity
  4. Limits and Continuity: Continuity and tangent lines
  5. Derivatives: Rate of change
  6. Derivatives: Derivative rules and properties
  7. Derivatives: Chain rule & implicit derivative
  8. M I D T E R M
  9. Application of Derivatives: Extreme values, mean value theorem
  10. Application of Derivatives: Concavity and Curve Sketching
  11. Application of Derivatives: Indeterminate forms and L’Hospital rule
  12. Integration: Estimating with finite sums, Riemann sum, the definite integral
  13. Integration: The fundamental theorem of calculus
  14. Integrals and transcendental functions

LABORATORY/PRACTICE PLAN
Week
Topic

    TEACHING/ASSESSMENT
    Description
    • Lectures
    • Excersises
    • Assignments
    Description (%)
    Method Quantity Percentage (%)
    Quiz25
    Midterm Exam(s)25
    Final Exam150
    Total: 100
    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
    Activities Quantity Duration (Hour) Total Work Load
    Lecture (14 weeks x Lecture hours per week)580400
    Laboratory / Practice (14 weeks x Laboratory/Practice hours per week)1313169
    Midterm Examination (1 week)9981
    Final Examination(1 week)111
    Preparation for Midterm Examination 0
    Preparation for Final Examination7 0
    Assignment / Homework/ Project 0
    Seminar / Presentation 0
    Total Workload: 651
    ECTS Credit (Total workload/25): 26