ECTS - General Mathematics
General Mathematics (MATH103) Course Detail
| Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| General Mathematics | MATH103 | Diğer Bölümlere Verilen Ders | 3 | 2 | 0 | 4 | 7 |
| Pre-requisite Course(s) |
|---|
| N/A |
| Course Language | English |
|---|---|
| Course Type | Service Courses Given to 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 | |
| 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 | Has the ability to apply scientific knowledge gained in the undergraduate education and to expand and extend knowledge in the same or in a different area | |||||
| 2 | Can apply gained knowledge and problem solving abilities in inter-disciplinary research | |||||
| 3 | Has the ability to work independently within research area, to state the problem, to develop solution techniques, to solve the problem, to evaluate the obtained results and to apply them when necessary | |||||
| 4 | Takes responsibility individually and as a team member to improve systematic approaches to produce solutions in unexpected complicated situations related to the area of study | |||||
| 5 | Can develop strategies, implement plans and principles on the area of study and can evaluate obtained results within the framework | |||||
| 6 | Can develop and extend the knowledge in the area and to use them with scientific, social and ethical responsibility | |||||
| 7 | Has the ability to follow recent developments within the area of research, to support research with scientific arguments and data, to communicate the information on the area of expertise in a systematically by means of written report and oral/visual presentation | |||||
| 8 | To have an oral and written communication ability in at least one of the common foreign languages ("European Language Portfolio Global Scale", Level B2) | |||||
| 9 | Has software and hardware knowledge in the area of expertise, and has proficient information and communication technology knowledge | |||||
| 10 | Follows scientific, cultural, and ethical criteria in collecting, interpreting and announcing data in the research area and has the ability to teach. | |||||
| 11 | Has professional ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications. | |||||
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 | ||