TR
11111

COURSE INTRODUCTION AND APPLICATION INFORMATION

dfe.ieu.edu.tr

Course Name
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
Fall
Prerequisites
None
Course Language
Course Type
Required
Course Level
-
Mode of Delivery -
Teaching Methods and Techniques of the Course Discussion
Problem Solving
Course Coordinator
Course Lecturer(s)
Assistant(s)
Course Objectives
Learning Outcomes The students who succeeded in this course;
  • Will be able to evaluate functions and their properties
  • Will be able to define the concepts of limits and continuity.
  • Will be able to compute the derivatives of explicit and implicit functions
  • Will be able to use applications of derivatives effectively
  • Will be able to compute definite, indefinite and improper integrals
  • Will be able to use applications of integrals effectively
Course Description

 



Course Category

 Core Courses
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Required Materials
1 Limits of Functions, Limits at Infinity and Infinite Limits, Continuity. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 1.1, 1.2, 1.3, 1.4.
2 Tangent Lines and Their Slopes, The Derivative, Differentiation Rules, The Chain Rule Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 2.1, 2.2, 2.3, 2.4.
3 Derivatives of Trigonometric Functions, Higher-Order Derivatives Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 2.5, 2.8.
4 The MeanValue Theorem, Implicit Differentiation Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 2.9, 2.10.
5 Inverse Functions, Exponential and Logarithmic Functions, The Natural Logarithm and Exponential. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 3.1, 3.2, 3.3.
6 The Inverse Trigonometric Functions, Related Rates
7 Indeterminate Forms, Extreme Values, Concavity and Inflections, Sketching the Graph of a Function Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 3.5, 4.1, 4.3.
8 Concavity and Inflections, Sketching the Graph of a Function , Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 4.4, 4.5, 4.6.
9 Extreme Value Problems , Midterm Exam Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 4.8, 5.3, 5.4.
10 The Definite Integral, Properties of the Definite Integral.The Fundamental Theorem of Calculus. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 5.5, 5.6, 5.7.
11 The Method of Substitution. Areas of Plane Regions. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 6.1, 6.3.
12 Integration by Parts, Inverse Substitutions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 6.1, 6.3.
13 Integrals of Rational Functions, Improper Integrals. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 6.2, 6.5.
14 Volumes by Slicing, Solids of Revolution. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 7.1.
15 Arc Length, Review of the semester Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 7.3.
16 Review of the semester
Course Notes/Textbooks Calculus: A Complete Course Sixth Edition Adams
Suggested Readings/Materials James Stewart, Calculus, Early Transcendentals 7E

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
4
20
Portfolio
Homework / Assignments
8
10
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterm
1
30
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
13
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Course Hours
(Including exam week: 16 x total hours)
16
4
64
Laboratory / Application Hours
(Including exam week: 16 x total hours)
16
Study Hours Out of Class
16
4
Field Work
Quizzes / Studio Critiques
2
Portfolio
Homework / Assignments
8
1
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
1
10
Final Exams
1
20
    Total
166

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
 Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To be able to transfer the skills gained from basic mathematic and science to engineering, to be able to apply it for problem solving in Food Engineering,
2

To be able to design projects, process optimisation, data collection, analysing results,
3

To be able to work individually as well as play an active role in a team, expressing themselves successfully, active decision making,
4

To be able to follow global developments and innovations, personal development, have the ability to improve quality,
5

To be able to have responsibility towards environment and apply to the professional field, have the ethical responsibility,
6

To be able to apply entrepreneurial skills, innovation and sustainability to the professional field,
7

To be able to communicate at least one foreign language.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 

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