Course Detail

Course Description Course Outline Course Contribution to Program Qualifications Assessment Methods ECTS-Workload Detail Informations of the Course Numerical Data

Course Description

Course	Code	Semester	T+P (Hour)	Credit	ECTS
PRE-CALCULUS	BME1216666	Spring Semester	2+0	2	2

Course Program

Pazartesi 12:00-12:45

Pazartesi 13:30-14:15

Prerequisites Courses
Recommended Elective Courses

Language of Course	English
Course Level	First Cycle (Bachelor's Degree)
Course Type	Required
Course Coordinator	Assist.Prof. Özge BİÇER ÖDEMİŞ
Name of Lecturer(s)	Assist.Prof. Özge BİÇER ÖDEMİŞ, Res.Assist. Recep Akif TAŞÇI
Assistant(s)
Aim	The aim of this course is to introduce the real number line, interval notation, absolute value and methods for solving linear, polynomial, and rational inequalities, as well as to provide students with a comprehensive understanding of algebraic, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Furthermore, students who successfully complete the course will develop the algebraic manipulation skills necessary for success in Calculus.
Course Content	This course contains; Fundamental Concept of Algebra,Rectangular Coordinates and Analytic Geometry,Functions and Their Graphs,Functions and Their Graphs,Polynomials and Rational Functions,Polynomial and Rational Functions,Exponential and Logarithmic Functions ,Midterm Week,Trigonometry,Trigonometry,Analytic Trigonometry,Complex Numbers,Advance Problems for Calculus,Advance Calculus Problems.

Course Learning Outcomes	Teaching Methods	Assessment Methods
1. Evaluate equations and inequalities involving absolute value, polynomial and retional expressions in real space.	12, 14, 6, 9	C
2. Interprets the graphs of lines, parabolas, ellipses, and hyperbolas in Cartesian coordinates.	12, 14, 6, 9	C
3. Analyze piecewise-defined and elementary functions, and their transformations (translations, reflections, and dilations) through both algebraic and graphical methods, applying these concepts to model and solve real-world problems involving complex functional structures.	12, 14, 6, 9	C
4. Evaluate exponential and logarithmic functions by investigating their properties and inverse relationships; analyze growth and decay processes.	12, 14, 6, 9	C
5. Investigate trigonometric and inverse functions using radian and degree measures; interpret their unit circle relationships, transformations, and identities to solve trigonometric equations through algebraic and graphical methods.	12, 14, 6, 9	C
6. Examine the relationship between the polar form of complex numbers and Euler’s formula; examine Euler’s formula to explore the algebraic connections and transitions between trigonometric and hyperbolic functions.	12, 14, 6, 9	C

Teaching Methods:	12: Problem Solving Method, 14: Self Study Method, 6: Experiential Learning, 9: Lecture Method
Assessment Methods:	C: Multiple-Choice Exam

Course Outline

Order	Subjects	Preliminary Work
1	Fundamental Concept of Algebra	Book chapter-Appendix A1-A7
2	Rectangular Coordinates and Analytic Geometry	Book Chapter 1.1,1.2, 1.3, 10.1, 10.2, 10.3, 10.4
3	Functions and Their Graphs	Book Chapter 1.4, 1.5, 1.6, 1.7, 1.8, 1.9
4	Functions and Their Graphs	Book Chapter 1.4, 1.5, 1.6, 1.7, 1.8, 1.9
5	Polynomials and Rational Functions	Book Chapter 2.1, 2.2, 2.3, 2.5, 2.6
6	Polynomial and Rational Functions	Book Chapter 2.1, 2.2, 2.3, 2.5, 2.6
7	Exponential and Logarithmic Functions	Book chapter 3.1, 3.2, 3.3, 3.4
8	Midterm Week
9	Trigonometry	Book Chapter 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7
10	Trigonometry	Book Chapter 4.1, 4.2, 4.3, 4.4, 4.5, 4.6, 4.7
11	Analytic Trigonometry	Book Chapter 5.1, 5.2, 5.3, 5.4, 5.5
12	Complex Numbers
13	Advance Problems for Calculus	Thomas Calculus
14	Advance Calculus Problems	Thomas Calculus

Resources

Ron Larson 10th Edition

Calculus Volume 1 – Edwin Jed Herman, Gilbert Strang, Calculus: A Complete Course – Robert Adams, Thomas Calculus 13th Edition.

Course Contribution to Program Qualifications

Course Contribution to Program Qualifications
No	Program Qualification	Contribution Level
No	Program Qualification	1	2	3	4	5
1	An ability to apply knowledge of mathematics, science, and engineering
2	An ability to identify, formulate, and solve engineering problems
3	An ability to design a system, component, or process to meet desired needs within realistic constraints such as economic, environmental, social, political, ethical, health and safety, manufacturability, and sustainability
4	An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
5	An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice
6	An ability to function on multidisciplinary teams
7	An ability to communicate effectively
8	A recognition of the need for, and an ability to engage in life-long learning
9	An understanding of professional and ethical responsibility
10	A knowledge of contemporary issues
11	The broad education necessary to understand the impact of engineering solutions in a global, economic, environmental, and societal context

Assessment Methods

Contribution Level	Absolute Evaluation
Rate of Midterm Exam to Success		30
Rate of Final Exam to Success		70
Total		100

ECTS / Workload Table
Activities	Number of	Duration(Hour)	Total Workload(Hour)
Course Hours	0	0	0
Guided Problem Solving	0	0	0
Resolution of Homework Problems and Submission as a Report	0	0	0
Term Project	0	0	0
Presentation of Project / Seminar	0	0	0
Quiz	0	0	0
Midterm Exam	0	0	0
General Exam	0	0	0
Performance Task, Maintenance Plan	0	0	0
Total Workload(Hour)			0
*Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30=(0/30)**			0
ECTS of the course: 30 hours of work is counted as 1 ECTS credit.

Detail Informations of the Course