Course Information
SemesterCourse Unit CodeCourse Unit TitleL+PCreditNumber of ECTS Credits
1MATH101PRECALCULUS2+002

Course Details
Language of Instruction English
Level of Course Unit First Cycle
Department / Program MATHEMATICS
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course It is expected that the student will learn the subjects such as functions, equations, inequalities and systems of equations, which are necessary for the basic research areas of mathematics, to have the competence to solve the mathematical problems encountered in real life and to gain the necessary infrastructure in these subjects.
Course Content Functions and their inverses, operations with functions and graphing techniques, polynomial functions, rational functions, exponential and logarithmic functions, trigonometric functions, trigonometric identities and trigonometric equations, systems of equations, inequalities and solving techniques.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Research Assist.Dr. TİNA BEŞERİ SEVİM
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.

Course Category

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
In-Term Studies Quantity Percentage
Midterm exams 1 % 40
Quizzes 0 % 0
Homeworks 0 % 0
Other activities 0 % 0
Laboratory works 0 % 0
Projects 0 % 0
Final examination 1 % 60
Total
2
% 100

ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Weekly Course Time 14 2 28
Outside Activities About Course (Attendance, Presentation, Midterm exam,Final exam, Quiz etc.) 14 2 28
Exams and Exam Preparations 2 2 4
Total Work Load   Number of ECTS Credits 2 60

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Become comfortable with the language of functions
2 Gain an understanding of polynomial, rational, exponential, logarithmic and trigonometric functions and ability to describe their graphs
3 Be able to solve linear and quadratic equations and equations with exponential and logarithmic functions
4 Gain problem solving skills analyzing the quantitative aspects of real-world problems and creating mathematical models


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 CHAPTER R.: BASIC ALGEBRAIC OPERATIONS. Algebra and Real Numbers. Exponents and Radicals. Polynomials: Basic Operations and Factoring. Rational Expressions. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
2 CHAPTER 1: EQUATIONS and INEQUALITIES. Linear Equations and Applications. Linear Inequalities. Absolute Value in Equations and Inequalities. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
3 Complex Numbers. Quadratic Equations and Applications. Additional Equation-Solving Techniques. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
4 CHAPTER 2: GRAPHS. Cartesian Coordinate System. Distance in the Plane. Equation of a Line. Linear Equations and Models. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
5 CHAPTER 3: FUNCTIONS. Functions. Graphing Functions. Transformations of Functions. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
6 Transformations of Functions. Quadratic Functions. Operations on Functions; composition. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
7 Inverse Functions. CHAPTER 4: POLYNOMIALS and RATIONAL FUNCTIONS. Polynomial Functions, Division and Models. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
8 Polynomial Functions, Division and Models. Real Zeros and Polynomial Inequalities. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
9 Rational Functions and Inequalities. CHAPTER 5: EXPONENTIAL and LOGARITHMIC FUNCTIONS. Exponential Functions. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
10 Logarithmic Functions. Exponential and Logarithmic Functions. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
11 CHAPTER 6: TRIGONOMETRIC FUNCTIONS. Angles and Their Measure. Trigonometric Functions: A Unit Circle Approach. Solving Right Triangles. Properties of Trigonometric Functions. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
12 More General Trigonometric Functions and Models. Inverse Trigonometric Functions. CHAPTER 7: TRIGONOMETRIC IDENTITIES and CONDITIONAL EQUATIONS. Basic Identities and Their Use. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
13 Sum, Difference and Cofunction Identities. Double Angle and Half Angle Identities. Product-Sum, Sum-Product Identities. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.
14 Trigonometric Equations. CHAPTER 8: ADDITIONAL TOPICS in TRIGONOMETRY. Law of Sines. Law of Cosines. Barnett, Ziegler, Syleen and Sobecki. Precalculus 7ed. Mc Graw Hill, 2010.


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14
C1 2 4 4 4 2 4 4 4
C2 2 4 4 4 2 4 4 4
C3 2 4 4 4 2 4 4 4
C4 4 4 4 4 4 4 4 4 2 2 4 4

Contribution: 0: Null 1:Slight 2:Moderate 3:Significant 4:Very Significant


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