The minimum qualifications that are expected from the students who want to attend the course.(Examples: Foreign language level, attendance, known theoretical pre-qualifications, etc.)
Instructor(s)
Professor Mert Çağlar
Course Assistant(s)
Schedule
The course will not be given this semester
Office Hour(s)
The course will not be given this semester
Teaching Methods and Techniques
-Lecture and recitation
Principle Sources
-Ron Larson - Precalculus with Limits, 2nd Edition
Other Sources
-
Course Schedules
Week
Contents
Learning Methods
1. Week
Rectangular Coordinates, Graphs of Equations, Linear Equations in Two Variables, Functions
Lecture and recitation
2. Week
Analyzing Graphs of Functions, A Library of Parent Functions, Transformations of Functions, Combination of Functions.
Polynomial Division, Zeros of Polynomial Functions, Rational Functions.
Lecture and recitation
5. Week
Exponential and Logaritmic Functions and Their Graphs, Exponential and Logaritmic Equations.
Lecture and recitation
6. Week
Radian and Degree Measure, The Unit Circle, Trigonometric Functions, Right Triangle Trigonometry. Trigonometric Functions of Any Angle
Lecture and recitation
7. Week
Graphs of Sine and Cosine, Graphs of Other Trigonometric Functions, Inverse Trigonometric Functions.
Lecture and recitation
8. Week
Using Fundamental Identities, Verifying Trigonometric Identities, Solving Trigonometric Equations, Sum and Difference Formulas, Multiple-Angle and Product-to-Sum Formulas.
Lecture and recitation
9. Week
Law of Sines, Law of Cosines, Vectors in the Plane, Vectors and Dot Products, Trigonometric Form of a Complex Number
Lecture and recitation
10. Week
Two-Variable Linear Systems, Multivariable Linear Systems, Partial Fractions, Systems of Inequalities
Lecture and recitation
11. Week
Matrices and Systems of Equations, Operations with Matrices, The Inverse of a Square Matrix, The Determinant of a Square Matrix
Lecture and recitation
12. Week
Sequences and Series, Arithmetic Sequences and Partial Sums, Geometric Sequences and Series, Mathematical Induction
Lecture and recitation
13. Week
Lines, Introduction to Conics: Parabolas, Ellipses, Hyperbolas,
Rotation of Conics
Lecture and recitation
14. Week
Parametric Equations, Polar Coordinates,
Graphs of Polar Equations, Polar Equations of Conics
Lecture and recitation
15. Week
16. Week
17. Week
Assessments
Evaluation tools
Quantity
Weight(%)
Midterm(s)
1
40
Final Exam
1
60
Program Outcomes
PO-1
Interpreting advanced theoretical and applied knowledge in Mathematics and Computer Science.
PO-2
Critiquing and evaluating data by implementing the acquired knowledge and skills in Mathematics and Computer Science.
PO-3
Recognizing, describing, and analyzing problems in Mathematics and Computer Science; producing solution proposals based on research and evidence.
PO-4
Understanding the operating logic of computer and recognizing computational-based thinking using mathematics as a discipline.
PO-5
Collaborating as a team-member, as well as individually, to produce solutions to problems in Mathematics and Computer Science.
PO-6
Communicating in a foreign language, and interpreting oral and written communicational abilities in Turkish.
PO-7
Using time effectively in inventing solutions by implementing analytical thinking.
PO-8
Understanding professional ethics and responsibilities.
PO-9
Having the ability to behave independently, to take initiative, and to be creative.
PO-10
Understanding the importance of lifelong learning and developing professional skills continuously.
PO-11
Using professional knowledge for the benefit of the society.
Learning Outcomes
LO-1
Identifies and understands polynomial, rational, exponential, logarithmic, and trigonometric functions.
LO-2
Represent a given polynomial, rational, exponential, logarithmic, or trigonometric function numerically, symbolically, graphically, and verbally.
LO-3
Sketch graphs and appropriate transformations for the following: polynomial functions (linear, quadratic, followed by those with degree three and higher), trigonometric functions, exponential and logarithmic functions, rational functions, and conic sections.
LO-4
Understands and performs addition, subtraction, multiplication, division, and composition of functions. Performs these operations algebraically, numerically, graphically, and in applied settings.
LO-5
Understands the abstract concepts of function inverses and one-to-one functions. Finds inverse functions using algebraic, numerical, graphical, and verbal techniques.
LO-6
Solves equations containing trigonometric functions in routine and applied problems.
LO-7
Solves systems of linear equations and inequalities.
LO-8
Solves basic exercises using polar coordinates, parametric functions, vectors, matrices, determinants, sequences, and series.
