# GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
MATHEMATICS I/MAT 101
 Course Title: MATHEMATICS I Credits 4 ECTS 6 Course Semester 1 Type of The Course Compulsory
COURSE INFORMATION
-- (CATALOG CONTENT)
-- (TEXTBOOK)
-- (SUPPLEMENTARY TEXTBOOK)
-- (PREREQUISITES AND CO-REQUISITES)
-- LANGUAGE OF INSTRUCTION
Turkish
-- COURSE OBJECTIVES
-- COURSE LEARNING OUTCOMES
To define function definition and some special functions. To derivative of functions.
To calculate the limit of functions and the limit of some special trigonometric functions.
To solve absolute and local extremes and maximum — minimum problems.
To take certain and indeterminate integrals of some special functions.

-- MODE OF DELIVERY
The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE 1. Week Sets, Real numbers, ranges, inequalities, neighborhoods, coordinates. 2. Week Functions: Definition of function, definition and image sets, definition of 1-1covering functions, finding inverse functions, combination of functions 3. Week Special Functions: Definitions of rational, irrational, trigonometric, inverse trigonometric exponential, logarithmic, hyperbolic and inverse hyperbol 4. Week Limit of Functions: Definition of limits, right and left limits, basic theorems about limits, limit of some special and trigonometric functions. 5. Week Continuity in Functions: Definition of continuity, theorems about continuous functions, discontinuities and their types. 6. Week Derivative Concept: Definition and existence of derivative, derivative rules, derivative of inverse function, derivative of trigonometric functions. 7. Week Derivatives of exponential, logarithmic, hyperbolic and inverse hyperbolic, closed and parametric functions, higher order derivatives. 8. Week Applications of Derivative: Geometrical meaning of derivative, absolute and local extremities, maximum-minimum problems. 9. Week Physical meaning of derivative, concavity, Rolle and mean value theorems. Elimination of uncertainties by L`Hospital rule. Asymptotes of a curve. 10. Week Drawing graph: Graphs of rational, irrational, exponential logarithmic, trigonometric, hyperbolic parametric functions. Hyperbolic functions. 11. Week Definition and properties of Riemann integral. 12. Week Indefinite integrals: Differential of a function, definition of indefinite integral, properties, basic integration formulas. 13. Week Integration Methods: Variable replacement, partial integration. 14. Week Rational fractions, integral of trigonometric and hyperbolic functions. some custom variable replacements. 15. Week 16. Week
-- TEACHING and LEARNING METHODS
-- ASSESSMENT CRITERIA
 Quantity Total Weighting (%) Midterm Exams 1 40 Assignment 0 0 Application 0 0 Projects 0 0 Practice 0 0 Quiz 0 0 Percent of In-term Studies 40 Percentage of Final Exam to Total Score 60