FACULTY OF ARTS AND SCIENCES

Department of Mathematics

MATH 102 | Course Introduction and Application Information

Course Name
Calculus II
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
MATH 102
Fall/Spring
3
0
3
6

Prerequisites
  MATH 101 To get a grade of at least FD
Course Language
English
Course Type
Service Course
Course Level
First Cycle
Mode of Delivery face to face
Teaching Methods and Techniques of the Course Problem Solving
Q&A
Lecture / Presentation
Course Coordinator
Course Lecturer(s)
Assistant(s)
Course Objectives This course aims to provide basic concepts of Mathematics such as functions, area between functions, integrals, maxima minima and their applications, and differential equations.
Learning Outcomes The students who succeeded in this course;
  • sketch graphs of functions.
  • solve optimization problems.
  • evaluate definite and indefinite integrals by using integration by parts and substitution.
  • apply the procedures for integrating rational functions.
  • solve separable differential equations and applications of differential equations.
  • evaluate improper integrals.
Course Description Calculus II is the sequel to Calculus I. Topics are as follows: Sketching graphs of functions, optimization, integral, techniques of integration, fundamental theorem of calculus, areas between curves, differential equations, improper integrals.

 



Course Category

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

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Higher-order derivatives, relative extrema Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 12.7, 13.1
2 Absolute extrema on a closed interval, concavity Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 13.2,13.3
3 The second-derivative test, asymptotes Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 13.4,13.5
4 Applied maxima and minima Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 13.6
5 Differentials, the indefinite integral Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 14.1, 14.2
6 Integration with initial conditions, more integration formulas Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 14.3, 14.4
7 Techniques of integration, the Fundamental theorem of calculus Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 14.5, 14.7
8 Review-Midterm
9 Integration by parts Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 6.1
10 Partial fractions "Calculus A Complete Course " by R.A. Adams, C. Essex, 10th Edition, Pearson. Section: 6.2
11 Areas between curves Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 15.3
12 Average value of a function Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 15.5
13 Differential equations Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 15.6
14 Improper integrals Haeussler E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018). Section: 15.8
15 Semester review
16 Final exam

 

Course Notes/Textbooks

Haeussler  E. F., Paul R. S., Wood R.J., "Introductory Mathematical Analysis for Business, Economics and the Life and Social Sciences", 14th Edition, (Pearson,2018).

ISBN-13: 013414110

 
Suggested Readings/Materials

"Calculus A Complete Course " 10th Edition by by R.A. Adams, C. Essex, 10th  Edition, Pearson.

 

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
-
Laboratory / Application
Field Work
Quizzes / Studio Critiques
6
30
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
1
30
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
7
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
3
48
Laboratory / Application Hours
(Including exam week: '.16.' x total hours)
16
0
Study Hours Out of Class
14
3
42
Field Work
0
Quizzes / Studio Critiques
6
4
24
Portfolio
0
Homework / Assignments
0
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
1
30
30
Final Exam
1
36
36
    Total
180

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

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

To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics.

X
2

To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics.

3

To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials.

X
4

To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning.

X
5

To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals.

X
6

To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project.

7

To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge.

8

To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field.

9

To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security.

10

To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking.

11

To be able to collect data in the areas of Mathematics or Statistics and 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 be able to relate the knowledge accumulated throughout the human history to their field of expertise.

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

 


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