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
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 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
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
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 Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 3.5, 4.1, 4.3.
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. 4.4, 4.5.
8 Concavity and Inflections, Sketching the Graph of a Function , Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 4.6
9 Extreme Value Problems , Midterm Exam Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 4.8
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. , 5.3, 5.4.5,5.
11 The Method of Substitution. Areas of Plane Regions. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition. 5.6, 5.7.
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 Textbooks Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Eight Edition
References James Stewart, Calculus, Early Transcendentals 7E

 

EVALUATION SYSTEM

Semester Requirements Number Percentage
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
4
20
Homework / Assignments
8
10
Presentation / Jury
Project
Seminar / Workshop
Portfolios
Midterms / Oral Exams
1
30
Final / Oral Exam
1
40
Total

Contribution of Semester Work to Final Grade
13
60
Contribution of Final Work to Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

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
4
2
Homework / Assignments
8
1
Presentation / Jury
Project
Seminar / Workshop
Portfolios
Midterms / Oral Exams
1
10
Final / Oral Exam
1
20
    Total
174

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Qualifications / Outcomes
* Level of Contribution
1
2
3
4
5
1 Adequate knowledge in Mathematics, Science and Civil Engineering; ability to use theoretical and applied information in these areas to model and solve Civil Engineering problems
2 Ability to identify, define, formulate, and solve complex Civil Engineering problems; ability to select and apply proper analysis and modeling methods for this purpose
3 Ability to design a complex system, 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 Civil Engineering practice
5 Ability to design and conduct experiments, gather data, analyze and interpret results for investigating Civil Engineering problems
6 Ability to work efficiently in Civil 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 Civil Engineering solutions

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