MATHEMATICS I
Course Name Code Regular Semester ECTS Credits Credits Lecture 4
Application 2
Mathematics I 0251311 1 8 5 Laboratory (Hour/Week) 0
Course Language Turkish
Compulsory or Elective Compulsory
Equipment -
Instructor Department of Mathematics
Course Contents Numbers( Natural, Real, Complex ); Functions; Continuity and Limit in One Variable Functions; Definition of Derivative and Rules; Applications of Derivative; Studying Variation of Functions and Graph; Trigonometric and Inverse Trigonometric Functions; Exponential and Logarithmic Functions; Hyperbolic and Inverse Hyperbolic Functions; Rolle and Mean-Value Theorems; Calculations of Indeterminate Forms by Using Derivative on Limit; Parametric Equations; Polar Coordinates; Differential; Undefined Integral; Defined Integral; The Fundamental Theorem of Integral; Calculations of Area by Using Defined Integral; Areas of Surfaces of Revolution; Volume of a Solid of Revolution; Improper Integrals.
Course Objectives
  1. To give fundamentals of mathematics knowledge.
  2. To be able to analyse problems which are met in the field of mathematics and to gain the ability of problem solving.
  3. To gain analytical thinking, discussion and evaluation.
Course Outcomes
(The knowledge and the skills that the student will gain at the end of the course)
  1. To have the fundamentals of mathematical knowledge and culture.
  2. To have analytical thinking and evaluation.
  3. The skill of evaluation and studying problems which occur in other disciplines.
Textbook
  1. Course Notes
Additional References
  1. "Calculus" Thomas-Finney Addison-Wesley, 1998
  2. "Calculus" Schaum's outline series, Frank Ayres, 1979
  3. "Yüksek Matematik" volume 1 , Ahmet Karadeniz, 1993
Prerequisite Courses -
Prerequisite Subjects -
Homework/Project -
Laboratory -
Computer Applications -
Additional Practices -
Course Evaluation Criteria
Number Effective Proportion %
Midterm Exams 2 60
Quiz - -
Homework - -
Term Projects - -
Term Papers - -
Laboratory - -
Other - -
Final Exam 1 40
Division of Course Credit (%) Basic Sciences 100%
Basic Engineering and Departmental Core Courses -%
Departmental Core Courses -%
Social Sciences -%

WEEKLY COURSE PLAN
Week Subject
1 Numbers( Natural, Real, Complex ); Functions;
2 Continuity and Limit in One Variable Functions;
3 Definition of Derivative and Rules; Applications of Derivative
4 Studying Variation of Functions and Graph
5 Trigonometric and Inverse Trigonometric Functions; Exponential and Logarithmic Functions
6 Hyperbolic and Inverse Hyperbolic Functions; Rolle and Mean-Value Theorems
7 Calculations of Indeterminate Forms by Using Derivative on Limit; Applications; Parametric Equations
8 1st midterm exam; Polar Coordinates
9 Differential; Undefined Integral
10 Undefined Integral
11 Undefined Integral; Defined Integral; The Fundamental Theorem of Integral
12 Calculations of Area by Using Defined Integral
13 2nd midterm exam; Areas of Surfaces of Revolution
14 Volume of a Solid of Revolution
15 Improper Integrals

Prepared by Department of Mathematics Date 00.00.00