FACULTY OF ENGINEERING

Department of Software Engineering

MATH 154 | Course Introduction and Application Information

Course Name
Calculus II
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
MATH 154
Spring
2
2
3
6

Prerequisites
  MATH 153 To get a grade of at least FD
Course Language
English
Course Type
Required
Course Level
First Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course Discussion
Problem Solving
Lecture / Presentation
Course Coordinator
Course Lecturer(s)
Assistant(s)
Course Objectives This course aims to provide information about integration techniques and applications, define functions of several variables, partial differentiation and multiple integration.
Learning Outcomes The students who succeeded in this course;
  • evaluate definite and indefinite integrals of functions using integration techniques
  • calculate improper integrals and volumes of solids.
  • use the applications of Taylor and Maclaurin series effectively.
  • define the concepts of limits and continuity for the functions of several variables.
  • calculate partial and directional derivatives.
  • solve extreme value problems.
  • compute double and triple integrals
Course Description In this course, integration techniques and application of integration, Taylor and Maclaurin series and their applications, functions of several variables, their derivatives, integrals and applications are examined.

 



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 The method of substitution, areas of plane regions "Calculus A Complete Course" by Robert A. Adams. Section 5.6, 5.7
2 Integration by parts, integrals of rational functions "Calculus A Complete Course" by Robert A. Adams. Section 6.1, 6.2
3 Integrals of rational functions, inverse substitutions "Calculus A Complete Course" by Robert A. Adams. Section 6.2, 6.3
4 Inverse substitutions, improper Integrals "Calculus A Complete Course" by Robert A. Adams. Section 6.3, 6.5
5 Solids of revolution "Calculus A Complete Course" by Robert A. Adams. Section 7.1
6 Taylor and Maclaurin series, applications of Taylor and Maclaurin series, Functions of several variables "Calculus A Complete Course" by Robert A. Adams. Section 9.6, 9.7, 12.1
7 MIDTERM EXAM
8 Limits and continuity "Calculus A Complete Course" by Robert A. Adams. Section 12.2
9 Partial derivatives, Gradients and directional derivatives "Calculus A Complete Course" by Robert A. Adams. Section 12.3, 12.7
10 Gradients and directional derivatives, Extreme values "Calculus A Complete Course" by Robert A. Adams. Section 12.7, 13.1
11 Extreme values, Extreme values of functions defined on restricted domains ''Calculus A Complete Course" by Robert A. Adams. Section 13.1, 13.2
12 Extreme values of functions defined on restricted domains, Lagrange multipliers ''Calculus A Complete Course" by Robert A. Adams. Section 13.2, 13.3
13 Iteration of double integrals in cartesian coordinates, double integrals in polar coordinates ''Calculus. A Complete Course" by Robert A. Adams. Section 14.2, 14.4
14 Triple integrals. Change of variables in triple integrals ''Calculus A Complete Course" by Robert A. Adams. Section 14.5, 14.6
15 Semester review
16 Final exam

 

Course Notes/Textbooks

Calculus : A complete course / Robert A. Adams, Christopher Essex. Ninth edition. Pearson, 2018.

 

ISBN 978-0-13-415436-7

Suggested Readings/Materials

Lecture Notes

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
4
20
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
30
Final Exam
1
50
Total

Weighting of Semester Activities on the Final Grade
5
50
Weighting of End-of-Semester Activities on the Final Grade
1
50
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Theoretical Course Hours
(Including exam week: 16 x total hours)
16
2
32
Laboratory / Application Hours
(Including exam week: '.16.' x total hours)
16
2
32
Study Hours Out of Class
14
3
42
Field Work
0
Quizzes / Studio Critiques
4
6
24
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
20
20
Final Exam
1
30
30
    Total
180

 

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.

X
5

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

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. ("European Language Portfolio Global Scale", Level B1)

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.

X

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

 


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