JZ121 Mathematics 1

5 ECTS - 3-0 Duration (T+A)- 1. Semester- 3 National Credit

Information

Unit FACULTY OF ENGINEERING
GEOLOGY ENGINEERING PR.
Code JZ121
Name Mathematics 1
Term 2021-2022 Academic Year
Semester 1. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 5 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Label C Compulsory
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. ALİ ARSLAN ÖZKURT
Course Instructor Prof. Dr. ALİ ARSLAN ÖZKURT (Güz) (A Group) (Ins. in Charge)


Course Goal / Objective

To teach the mathematical background of the basics of engineering and the technical courses of the Geological Engineering.

Course Content

Matrix, determinant concept, funtion concept, limit, derivative and differential equations.

Course Precondition

Resources

Notes



Course Learning Outcomes

Order Course Learning Outcomes
LO01 Explains the arithmetic operations on matrices
LO02 Calculates the reverse and determinant of a matrix
LO03 Performs the linear equation systems and solution methods by using matrices
LO04 Describes function, limit and continuity concepts.
LO05 Knows Continuity, classification of discontinuities
LO06 Knows Derivative concept, definition, geometric mean, the basic rules of differentiation
LO07 Can explain Tangent equation, the maximum and minimum of a function, a variety of engineering problems
LO08 Knows concept of Differentials
LO09 Can make The approximate account by using differentials


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 - Uses Fundamental Geological information, having necessary information in Mathematical and Natural sciences and employs theoretical and applied information in these areas in engineering solutions. Identifies, formulizes and solves geological problems. Realizes the social effects of identified solutions for geological problems. Identifies, defines, formulizes and solves engineering problems. Chooses and applies the appropriate analytical and modelling techniques for this purpose. 2
PLO02 - Uses necessary techniques and instruments for geological applications Identifies rock types, draws geological maps and cross sections. Investigates and reports all kinds of natural resources and geological hazards 1
PLO03 - Thinks, interprets, analyzes and synthesizes geological events in 3D. Chooses and applies necessary methods and instruments for engineering applications. Uses the information technology effectively. 2
PLO04 - Designs and performs experiments, collects data and interprets the results. 1
PLO05 - Works and undertakes responsibility in solving geological problems both individually and in multidiciplinary working groups 2
PLO06 - Investigates to obtain scientific information, and uses data bases and other data sources actively. Has an awareness of life long learning; follows developments in science and technology to keep up to date 3
PLO07 - Initiates effective interactions in Turkish both orally and in written form, and speaks at least one foreign language. Defines necessities in learning in scientific, social, cultural and artistic areas and improves himself/herself continuously. 1
PLO08 - Knows job related and ethical responsibilities, project management, office applications and safety, and realizes juridical responsibilities of engineering applications. Knows the universal and societal effects of engineering solutions and applications. Has an awareness of entrepreneuring and innovative subjects; knows and finds solutions for the new century. 3


Week Plan

Week Topic Preparation Methods
1 Matrices, equal matrices, arithmetic operations, special matrices Read the relevant chapter in the book and discussion
2 Determinants, properties of determinant, inverse matrices Read the relevant chapter in the book and discussion
3 Systems of Linear Equations and Solution Methods, Cramers method Read the relevant chapter in the book and discussion
4 Echelon matrix, Gauss Elimination Method Read the relevant chapter in the book and discussion
5 The concept of function, the domain of function, some special functions Read the relevant chapter in the book and discussion
6 Some of the properties of functions and their graphs Read the relevant chapter in the book and discussion
7 Limits of functions of one variable, definition, limit properties Read the relevant chapter in the book and discussion
8 Mid-Term Exam Mid-term exam preparation
9 Infinity limits Read the relevant chapter in the book and discussion
10 Continuity, classification of discontinuities Read the relevant chapter in the book and discussion
11 Derivative concept, definition, geometric mean, the basic rules of differentiation Read the relevant chapter in the book and discussion
12 Derivative concept, definition, geometric mean, the basic rules of differentiation Read the relevant chapter in the book and discussion
13 Tangent equation, the maximum and minimum of a function, a variety of engineering problems Read the relevant chapter in the book and discussion
14 Differentials Read the relevant chapter in the book and discussion
15 The approximate account by using differentials Read the relevant chapter in the book and discussion
16 Term Exams Final exam preparation
17 Term Exams Final exam preparation


Assessment (Exam) Methods and Criteria

Current term shares have not yet been determined. Shares of the previous term are shown.
Assessment Type Midterm / Year Impact End of Term / End of Year Impact
1. Midterm Exam 100 40
General Assessment
Midterm / Year Total 100 40
1. Final Exam - 60
Grand Total - 100


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 3 42
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 12 12
Final Exam 1 18 18
Total Workload (Hour) 114
Total Workload / 25 (h) 4,56
ECTS 5 ECTS

Update Time: 05.05.2023 01:41