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 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
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, The Natural Logarithm and Exponential Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed 3.2,3.3
8 The Inverse Trigonometric Functions, Review for MIDTERM Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 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, 5.3, 5.4.5,5, 5.6.
13 The Method of Substitution, Areas of Plane Regions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, 9.Ed. 5.6, 5.7
14 Review of the semester
15 Review of the semester
16 Review of the semester

 

Course Textbooks

Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth 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