MATH 153 | Course Introduction and Application Information

Course Name
Calculus I
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
MATH 153
Fall
2
2
3
6

Prerequisites
None
Course Language
English
Course Type
Required
Course Level
First Cycle
Course Coordinator
Course Lecturer(s)
Assistant(s)
Course Objectives This course aims to built fundamentals of calculus and its applications for engineers
Course Description The students who succeeded in this course;
  • Will be able to undertand functions and their properties
  • Will be able to find of limits of functions
  • Will be able to investigate continuity of functions
  • 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 areas of plane regions
Course Content Calculus I provides important tools in understanding functions of one variable and has led to the development of new areas of mathematics.

 



Course Category

Core Courses
Major Area Courses
Supportive Courses
X
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Graphs of quadratic functions, Polynomials and rational functions, The trigonometric functions, Examples of velocity, growth rate and area Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. P3, P6, P7, 1.1
2 Limits of Functions, Limits at Infinity and Infinite Limits. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9. Ed. Edition. 1.2, 1.3.
3 Continuity, Tangent Lines and Their Slopes Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 1.4, 2.1.
4 The Derivative, Differentiation Rules, The Chain Rule, Derivatives of Trigonometric Functions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 2.2, 2.3,2.4, 2.5.
5 Higher-Order Derivatives, The Mean Value Theorem Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 2.6, 2.8.
6 Implicit Differentiation, Inverse Functions, Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 2.9, 3.1
7 Exponential and Logarithmic Functions, Review for 1. MIDTERM Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed 3.2
8 The Natural Logarithm and Exponential. The Inverse Trigonometric Functions, Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 3.3,3.5
9 Related rates, Indeterminate Forms Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 4.1, 4.3.
10 Extreme Values, Concavity and Inflections Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 4.4, 4.5
11 Sketching the Graph of a Function, Extreme Value Problems Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 4.6, 4.8
12 Extreme Value Problems Properties of the Definite Integral.The Fundamental Theorem of Calculus Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 4.8, 5.4.5,5
13 The Method of Substitution Review for 2. MIDTERM Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 5.6
14 The Method of Substitution, Areas of Plane Regions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 5.6, 5.7
15 Review of the semester
16 Review of the semester

 

Course Notes/Textbooks

"Calculus, A complete course" by Robert A.Adams & Christopher Essex, Publisher: Prentice Hall, 9th edition, ISBN-13: 978-0134154367.

Suggested Readings/Materials James Stewart, Calculus, Early Transcendentals 7E

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
2
60
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
2
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Theoretical 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
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
2
13
Final Exam
1
20
    Total
174

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

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

To have adequate knowledge in Mathematics, Science, Computer Science and Software Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems.

X
2

To be able to identify, define, formulate, and solve complex Software Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose.

X
3

To be able to design, implement, verify, validate, document, measure and maintain a complex software system, process, or product under realistic constraints and conditions, in such a way as to meet the requirements; ability to apply modern methods for this purpose.

4

To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in software engineering applications; to be able to use information technologies effectively.

5

To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex Software Engineering problems.

X
6

To be able to work effectively in Software Engineering disciplinary and multi-disciplinary teams; to be able to work individually.

7

To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to be able to present effectively, to be able to give and receive clear and comprehensible instructions.

8

To have knowledge about global and social impact of engineering practices and software applications on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of Engineering and Software Engineering solutions.

9

To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications.

10

To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development.

11

To be able to collect data in the area of Software Engineering, and to be able to communicate with colleagues in a foreign language.

12

To be able to speak a second foreign language at a medium level of fluency efficiently.

13

To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Software Engineering.

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