MATH 154 | Course Introduction and Application Information - Department of Genetics and Bioengineering

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

National Occupation Classification

-

Course Coordinator

Dr. Öğr. Üyesi Demet ERSOY ÖZDEK

Course Lecturer(s)

Assistant(s)

Araş. Gör. Merve KAHRAMAN ARİMAN

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

#	Content	PC Sub	* Contribution Level
#	Content	PC Sub	1	2	3	4	5
1	evaluate definite and indefinite integrals of functions using integration techniques
2	calculate improper integrals and volumes of solids.
3	use the applications of Taylor and Maclaurin series effectively.
4	define the concepts of limits and continuity for the functions of several variables.
5	calculate partial and directional derivatives.
6	solve extreme value problems.
7	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
	Media and Management Skills Courses
	Transferable Skill Courses

Week	Subjects	Related Preparation	Learning Outcome
1	The method of substitution	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 5.6, 5.7
2	Integration by parts, integrals of rational functions	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.1, 6.2
3	Integrals of rational functions, inverse substitutions	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.2, 6.3
4	Inverse substitutions, improper Integrals	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 6.3, 6.5
5	Solids of revolution	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 7.1
6	Taylor and Maclaurin series, applications of Taylor and Maclaurin series, Functions of several variables	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 9.6, 9.7, 12.1
7	Midterm Exam
8	Limits and continuity	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.2
9	Partial derivatives, Gradients and directional derivatives	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.3, 12.7
10	Gradients and directional derivatives, Extreme values	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 12.7, 13.1
11	Extreme values, Extreme values of functions defined on restricted domains	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 13.1, 13.2
12	Extreme values of functions defined on restricted domains, Lagrange multipliers	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 13.2, 13.3
13	Iteration of double integrals in cartesian coordinates, double integrals in polar coordinates	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 14.2, 14.4
14	Triple integrals. Change of variables in triple integrals	Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018). Section 14.5, 14.6
15	Semester review
16	Final exam

Course Notes/Textbooks

R Robert A. Adams, Christopher Essex, Calculus, "A complete course", 9th edition, (Pearson, 2018).

ISBN 978-0-13-415436-7

Suggested Readings/Materials

Semester Activities	Number	Weigthing	LO 1	LO 2	LO 3	LO 4	LO 5	LO 6	LO 7
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques	4	20
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm	1	35
Final Exam	1	45
Total

Weighting of Semester Activities on the Final Grade	5	55
Weighting of End-of-Semester Activities on the Final Grade	1	45
Total

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

#	PC Sub	Program Competencies/Outcomes	* Contribution Level
#	PC Sub	Program Competencies/Outcomes	1	2	3	4	5
1	To have adequate knowledge in Mathematics, Science and Genetics and Bioengineering; 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 Genetics and Bioengineering problems; to be able to select and apply proper analysis and modeling methods for this purpose.		-	-	-	-	-
3	To be able to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design 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 Genetics and Bioengineering 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 engineering problems or Genetics and Bioengineering research topics.		-	-	-	-	-
6	To be able to work efficiently in Genetics and Bioengineering 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 present effectively, to be able to give and receive clear and comprehensible instructions.		-	-	-	-	-
8	To have knowledge about global and social impact of Genetics and Bioengineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of Genetics and Bioengineering solutions.		-	-	-	-	-
9	To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in Genetics and Bioengineering 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 Genetics and Bioengineering, 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 Genetics and Bioengineering.		-	-	-	-	-