ECTS - General Mathematics
General Mathematics (MATH103) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| General Mathematics | MATH103 | 1. Semester | 3 | 2 | 0 | 4 | 7 |
| Pre-requisite Course(s) |
|---|
| N/A |
| Course Language | English |
|---|---|
| Course Type | Service Courses Taken From Other Departments |
| Course Level | Bachelor’s Degree (First Cycle) |
| Mode of Delivery | Face To Face |
| Learning and Teaching Strategies | Lecture, Discussion, Question and Answer, Problem Solving. |
| Course Lecturer(s) |
|
| Course Objectives | The objective of this course is to introduce the basic concepts of pre-calculus, such as sets, numbers and their properties, equations, inequalities, equations of line and quadratic curves in the plane, to teach how to use functions, trigonometry, complex numbers, matrices and determinants. Also, it is aimed to develop the problem solving and analytic thinking skills of the student and to increase their ability to apply problems to real life. |
| Course Learning Outcomes |
The students who succeeded in this course;
|
| Course Content | Sets, numbers and their properties, identities, equations and inequalities, polinomials, coordinate system in plane, graphs of lines and quadratic equations, functions, trigonometry, polar coordinates, complex numbers, systems of linear equations, matrices and determinants. |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 1 | Sets, Numbers, Numerical Expressions, Properties of Real Numbers | pp.2-17 |
| 2 | Algebra Essentials: Graph Inequalities, Distance on the Real Number Line, Algebraic Expressions, Domain of a Variable, Laws of Exponents, Square Roots, Scientific Notation Geometry Essentials: Pythagorean Theorem and Its Converse, Geometry Formulas, Congruent Triangles and Similar Triangles Polynomials: Polynomials, Add and Subtract Polynomials, Multiply Polynomials, Formulas for Special Products | pp. 17-49 |
| 3 | Factoring Polynomials, Polynomial Division, Rational Expressions, nth Roots, Rational Exponents, Base Arithmetic | pp. 49-80 |
| 4 | Linear Equations: Solve Linear Equation, Solve Equations that lead to linear equations, Solve Problems that can be modeled by linear equations Quadratic Equations: Solve Quadratic Equation by Factoring, Solve Quadratic Equation by Completing the Square, Solve Quadratic Equation Using the Quadratic Formula, Solve Problems that can be modeled by quadratic equations | pp. 81-104 |
| 5 | Complex Numbers, Quadratic Equations in the Complex Number System, Radical Equations; Equations Quadratic in form; Factorable equations, Solving Inequalities | pp. 104-129 |
| 6 | Equations and Inequalities Involving Absolute Value, The Distance and Midpoint Formulas, Graphs of Equations in Two Variables; Intercepts; Symmetry | pp. 130-167 |
| 7 | Midterm | |
| 8 | Lines, Circles, Functions | pp. 167-188, 200-213 |
| 9 | The Graph of a Function, Properties of Functions, Library of Functions | pp.214-239 |
| 10 | Piecewise-defined Functions, Graphing Techniques: Transformations, Angles and their measure | pp. 239-257, 504-517 |
| 11 | Right triangle trigonometry, Computing the Values of Trigonometric Functions of Acute Angles, Trigonometric Functions of Any Angle, Unit Circle Approach | pp. 517-556 |
| 12 | Properties of the Trigonometric Functions, Trigonometric Equations, Trigonometric Identities, Sum and Difference Formulas, Double-angle and Half-angle Formulas | pp.556-560, 622-662 |
| 13 | Applications Involving Right Triangles, The Law of Sines, The Law of Cosines, Area of a Triangle, Polar Coordinates, Polar Equations and Graphs | pp. 673-701, 718-741 |
| 14 | The Complex Plane; De Moivre’s Theorem, Systems of Linear Equations: Substitution and Elimination, Systems of Linear Equations: Matrices | pp.742-749, 843-872 |
| 15 | Systems of Linear Equations: Determinants, Matrix Algebra | pp. 873-899 |
| 16 | Final Exam |
Sources
| Course Book | 1. M. Sullivan, Algebra and Trigonometry, 9.ed., Pearson, 2012 |
|---|---|
| Other Sources | 2. J. Stewart , L. Redlin, S. Watson, Precalculus Mathematics for Calculus, Brooks Cole 6. edition, 2011 |
| 3. Matematik I, Atılım Üniversitesi Matematik Bölümü Uzaktan Eğitim Ders Notu |
Evaluation System
| Requirements | Number | Percentage of Grade |
|---|---|---|
| Attendance/Participation | - | - |
| Laboratory | - | - |
| Application | - | - |
| Field Work | - | - |
| Special Course Internship | - | - |
| Quizzes/Studio Critics | - | - |
| Homework Assignments | - | - |
| Presentation | - | - |
| Project | - | - |
| Report | - | - |
| Seminar | - | - |
| Midterms Exams/Midterms Jury | 2 | 60 |
| Final Exam/Final Jury | 1 | 40 |
| Toplam | 3 | 100 |
| Percentage of Semester Work | 60 |
|---|---|
| Percentage of Final Work | 40 |
| Total | 100 |
Course Category
| Core Courses | |
|---|---|
| Major Area Courses | X |
| Supportive Courses | |
| Media and Managment Skills Courses | |
| Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
| # | Program Qualifications / Competencies | Level of Contribution | ||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| 1 | Have knowledge about aviation and basic sciences. | X | ||||
| 2 | Works in coordination with team members under time pressure. | |||||
| 3 | Uses the advanced theoretical and practical knowledge and skills acquired in his/her field in his/her professional life. | |||||
| 4 | Solves unpredictable and complex problems encountered in aviation activities with an analytical perspective. | |||||
| 5 | Conveys solution proposals regarding national/international issues related to his/her field in written and oral form in international languages. | |||||
| 6 | Uses computer software and information and communication technologies at the level required by the field. | |||||
| 7 | Reads, understands and prepares documents such as sketches, diagrams, graphics, technical drawings, etc. that define the subject. | |||||
| 8 | Accesses, archives and keeps up-to-date technical/administrative documents and books, databases and other information sources related to the field. | |||||
| 9 | Has professional ethics and sense of responsibility in the stages of collecting/interpreting/announcement/implementing data related to his/her field in accordance with the rules. | |||||
| 10 | Has professional ethics and occupational safety awareness, prioritizing the safety factor in her/his work. | |||||
| 11 | Uses the techniques, skills and modern maintenance tools necessary for maintenance practices. | |||||
| 12 | Interprets results from various sources and measurements and applies corrective measures where appropriate. | |||||
| 13 | He/she applies his/her knowledge practically by utilizing the manufacturer's instructions. | |||||
| 14 | Improves himself/herself in social, cultural and historical fields. | |||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| Course Hours (Including Exam Week: 16 x Total Hours) | |||
| Laboratory | |||
| Application | 14 | 2 | 28 |
| Special Course Internship | |||
| Field Work | |||
| Study Hours Out of Class | 14 | 3 | 42 |
| Presentation/Seminar Prepration | |||
| Project | |||
| Report | |||
| Homework Assignments | |||
| Quizzes/Studio Critics | |||
| Prepration of Midterm Exams/Midterm Jury | 2 | 10 | 20 |
| Prepration of Final Exams/Final Jury | 1 | 12 | 12 |
| Total Workload | 102 | ||