# General Mathematics (MATH103) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
General Mathematics MATH103 3 2 0 4 7
Pre-requisite Course(s)
-
Course Language English N/A Bachelor’s Degree (First Cycle) Face To Face Lecture, Discussion, Question and Answer, Problem Solving. 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. The students who succeeded in this course; understand the fundamentals of pre-calculus, solve linear and quadratic equations and inequalities, recognize and sketch the graphs of lines and conics in the plane, recognize and solve systems of linear equations, learn how to use functions, trigonometry, complex numbers and polar coordinates understand the concepts of matrices and determinants 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 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

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 40 100

### Course Category

Core Courses X

### The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 To have knowledge about aviation and basic sciences. X
2 Ability to work in coordination with team members under time pressure conditions.
3 To be able to use the advanced theoretical and practical knowledge and skills acquired in the field in professional life.
4 To be able to solve complex and unpredictable problems encountered in aviation activities with an analytical perspective.
5 To be able to convey verbal and written solutions to national/international issues related to the field in international languages.
6 To be able to use information and communication technologies along with computer software at the level required by the field.
7 Sketch, diagram describing the subject. graphics, technical drawings, etc. can read, understand and prepare documents.
8 To be able to access, archive and keep up to date technical/administrative documents and books, databases and other information sources related to the field.
9 To have an awareness of professional ethics and responsibility in the stages of collecting/interpreting/disclosing/implementing data related to the field in accordance with the rules.
10 To have professional ethics and occupational safety awareness in order to prioritize the safety factor in their work.
11 To be able to use the techniques, skills and modern maintenance tools required for maintenance applications.
12 Be able to interpret results obtained from various sources and measurements and implement corrective measures where appropriate.
13 He/She will be able to apply her knowledge in a practical way by using the manufacturer's instructions.
14 To improve oneself in social, cultural and historical fields.

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