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
Course Type N/A
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 Coordinator
Course Lecturer(s)
Course Assistants
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;
  • 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
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


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 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.

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Application 14 2 28
Special Course Internship
Field Work
Study Hours Out of Class 14 3 42
Presentation/Seminar Prepration
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