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
Course Coordinator
Course Lecturer(s)
Assistant(s)
Course Objectives This course is continuation of Calculus I and it aims to provide more insight to advanced mathematical techniques in engineering.
Course Description The students who succeeded in this course;
  • Will be able to calculate improper integrals and volumes of solids
  • Will be able to use the applications of Taylor and Maclaurin series effectively
  • Will be able to define the concepts of limits and continuity in the functions of several variables
  • Will be able to do partial and directional derivatives calculations
  • Will be able to solve extreme value problems
  • Will be able to compute double integrals in cartesian and polar coordinates
  • Will be able to compute triple integrals
Course Content Calculus II provides important tools in understanding functions of several variables 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 Integration by parts, Integrals of rational functions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 6.1, 6.2
2 Integrals of rational functions, Inverse substitutions Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 6.2, 6.3
3 Inverse substitutions, Improper Integrals Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 6.3, 6.5
4 Solids of Revolution Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 7.1
5 Taylor and Maclaurin Series, Applications of Taylor and Maclaurin Series Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 9.6, 9.7
6 Functions of Several Variables, Limits and continuity Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 12.1, 12.2
7 Limits and continuity, Partial Derivatives Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 12.2, 12.3
8 REVIEW FOR MIDTERM EXAM
9 Gradients and Directional Derivatives, Extreme Values. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 12.7, 13.1
10 Extreme Values, Extreme Values of Functions Defined on Restricted Domains Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 13.1, 13.2.
11 Extreme Values of Functions Defined on Restricted Domains, Lagrange Multipliers. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 13.2, 13.3
12 Iteration of Double Integrals in Cartesian Coordinates, Double integrals in Polar Coordinates. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 14.2, 14.4.
13 Triple Integrals. Change of Variables in Triple Integrals. Calculus: A Complete Course by Robert A. Adams, Christopher Essex, Ninth Edition. 14.5, 14.6
14 Review of the Semester
15 Review of the Semester
16 Review of the Semester

 

Course Notes/Textbooks

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

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
Homework / Assignments
8
10
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
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
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
3
Field Work
Quizzes / Studio Critiques
4
2
Homework / Assignments
8
1
Presentation / Jury
Project
Seminar / Workshop
Oral Exam
Midterms
1
18
Final Exam
1
28
    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.

X

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