Course Detail
Course Detail
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| PRE-CALCULUS | BME1216666 | Spring Semester | 2+0 | 2 | 2 |
| Course Program |
| 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, Res.Assist. Şule Nigar İŞCİOĞLU |
| 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 | |||||
| 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
Course Description
| Course | Code | Semester | T+P (Hour) | Credit | ECTS |
|---|---|---|---|---|---|
| PRE-CALCULUS | BME1216666 | Spring Semester | 2+0 | 2 | 2 |
| Course Program |
| 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, Res.Assist. Şule Nigar İŞCİOĞLU |
| 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 | |||||
| 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 | |