11111

COURSE INTRODUCTION AND APPLICATION INFORMATION


ce.cs.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
X
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

Adequate knowledge in Mathematics, Science and Computer Engineering; ability to use theoretical and applied information in these areas to model and solve Computer Engineering problems

X
2

Ability to identify, define, formulate, and solve complex Computer Engineering problems; ability to select and apply proper analysis and modeling methods for this purpose

X
3

Ability to design a complex computer based system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose

4

Ability to devise, select, and use modern techniques and tools needed for Computer Engineering practice

5

Ability to design and conduct experiments, gather data, analyze and interpret results for investigating Computer Engineering problems

X
6

Ability to work efficiently in Computer Engineering disciplinary and multi-disciplinary teams; ability to work individually

7

Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of two foreign languages

8

Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself

9

Awareness of professional and ethical responsibility

10

Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development

11

Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of Computer Engineering solutions

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

 

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