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COURSE CODE / MATH107 / COURSE LEVEL / First YearCOURSE TITLE / ELEMENTARY MATHEMATICS
COURSE TYPE / Compulsory Course offered by Mathematics department
CREDIT VALUES / (3, 1) 4 / ECTS VALUE
PREREQUISITES / None / COREQUISITIES / None
DURATION OF COURSE / One semester
Name / e-mail and web page / Office / Tel.
INSTRUCTOR / Mustafa Babagil (Gr.02) / / AS227 / 1032
ASSISTANTS
CATALOGUE DESCRIPTION
Some preliminaries: Solving first and second degree equations. Inequalities and their solutions. Absolute value relationships. Rectangular coordinate system. Linear equations: characteristics of linear equations, graphical characteristics, slope intercept form, determining the equation of a straight line, systems of linear equations and their solutions. Mathematical functions: definition of a function and types of functions, graphical representation of linear and quadratic functions. Selected applications. Matrix algebra: introduction, special types of matrices, matrix operations, the determinant. Introduction to probability theory: sets and set operations, permutations and combinations, basic probability concepts, statistical independence and dependence. Probability distributions: random variable and probability distributions, measure of central tendency and variation.
AIMS & COURSE OBJETIVES
Review the basics of algebra. Real number system, Sets and set operations, Ineqalities, Functions.
Graphical representations of functions. Linear equations, Equation of a straight line.
Break-even analysis, Linear supply and demand functions, Equilibrium point.
Quadratic functions. Application of quadratic functions. Quadratic revenue, cost and profit functions.
Exponential and logarithmic functions. Applications; compound interest, continuous compounding.
Solutions of exponential and logarithmic equations.
GENERAL LEARNING OUTCOMES (COMPETENCES)
On successfull completion of this course, all students will have developed knowledge and understanding of:
The Real numbers and sets concept, solving inequalities and showing the solution sets.
To sketch graphs of linear and simple quadratic functions.
The meaning of supply and demand functions and applications. Break-even analysis and equilibrium point.
Basics of linear programing concepts, such as graphical solutions, feasible solutions and corner point method.
Piecewise functions and quadratic functions. Their characteristics.
Applications of cost profit functions, break-even models both linear and quadratic.
Exponential and logarithmic functions.
On successful completion of this course all students will have developed their skills in
Reading and analysing a problem
Reading and sketching a graph. Understanding the cartesian plane depending on the problem.
To be able to solve basic economical problems.
DERS NOTU KRİTERLERİ
A
(excellent)
~%85and above /
- (excellent) ~85% and aboveExcellent understanding of the concepts and the principles as demonstrated by correct and accurate knowledge and application of theory/laws in solving problems. Response to problems is clear, legible, concise and accurate. Excellent performance.
B
(good)
~%70and above /
- (good) ~70% and above. Better than average understanding of the concepts and the principles as demonstrated by correct and accurate knowledge and application of theory/laws in solving problems, but doesn't have the depth and outstanding quality of an "A". Response to problems is fairly clear, legible, but occasionally contains some inaccuracies. Performance exceeds the minimum requirements
C
(average)
~%60 and above /
- (average) ~60 % and above. An average understanding of the concepts and the principles as demonstrated by reasonably correct knowledge and application of theory/laws in solving problems, but doesn't have any depth. Response to problems is reasonably clear, legible, but contains inaccuracies. It reveals a sufficient understanding of the material, but lacks depth in understanding and approach/application. Content and form don't go beyond basic expectations and/or display some substantial errors. Acceptable but non-exceptional performance that doesn't go beyond the minimum requirements.
D
(barely sufficient)
%50 and above /
- (barely sufficient) ~50% and above. Minimal knowledge and barely sufficient understanding of the concepts and the principles as demonstrated by approximately correct application of theory/laws in solving problems. Response to problems is not very clear and is barely legible, and contains many inaccuracies. It reveals a minimum (confused) understanding of the material, and lacks depth in understanding and approach/application. Content and form do not adequately meet the basic expectations, and/or display significant errors. Performance demonstrates severe problems in one or more areas.
F
(Fail)
Below %50 / (fail) Below 40%. Work does not meet the most minimal standards. It reveals no understanding of the material, lack of basic academic skills and knowledge, or completely incomprehensible writing. Performance is not acceptable
NG
Nil Grade / NG (NIL-GRADE) Conditions that might lead to NG grade.
i) Not attending the class more than 20% of total lecture hours.
ii)Not attending any two exams, including make-up.
EXAMS
- Examination questions are written with basic, clear and simple English. During the examimation it is not allowed to ask questions. Exam results are announced on Mathematics Department Notice Board.
- Calculator is not needed in the examination. Therefore calculator is forbiden in the exam.
- Mobile phones and all other electronic devices which may be used solving questions in the exam are forbiden to be used.
There is only one make-up exam that is held in the final week of the semester after the final examinations (Its date, time and place will be announced later). This one exam will be given to the students who haven’t attended either midterm exam or final. Any student missing two reqular exams will not be allowed to sit the make-up exam and will recieve an NG grade automatically.
OBJECTIONS
Students exam papers are available for inspection from course instructors upon request. These requests should be made within a week of announcement of grades. Objections to any grade must be made to the instructors.
LEARNING / TEACHING METHOD
Blackboard and chalk. Instrutor eplains the subject on the blackboard interactively with the students by using neccessary and suitable examples choosen.
HOMEWORKS
Selected exercises asked to the students at the end of each section to be solved at home.
METHOD OF ASSESSMENT / First midterm % 30
Quizes % 30
Final % 40
ATTENDANCE
Attendance is compulsory. NG grade will be given to those students having an attendance to the course less than % 80.
TEXTBOOK
Applied Mathematics an Business, Economics and the Social Sciences, 4th Edition, Frank S. Budnick, McGraw-Hill
COURSE CONTENT
The lecture topics within the semester are as in the following schedule
Week / Date / Topics
1 / 25-29 Sept. / Solving first degree equations in one variable. Chapter 1 section 1 (4hours)
2 / 02-06 Oct. / Solving second degree equations in one variable. Chapter 1 section 2 (2 hours)
3 / 09-13 Oct. / Inequalities and their solution. Chapter 1 section 3 (2 hours)
Rectangular Coordinate systems. Chapter 1 section 5 (2hours)
4 / 16-20 Oct. / Characteristics of Linear Equations. Chapter 2 section 1 (2hours)
Graphical Characteristics Chapter 2 section 2 (1hour)
Slope-Intercept form Chapter 2 section 3 (1 hour)
5 / 23-25 Oct. (27 Oct.) / Religious holiday. (Review of the subjects depending on the students questions, 2 hours)
6 / 30Oct.-3 Novb. / Determining the equation of a straight line Chapter 2 section 4 (2 hours)
Linear equations involving more than two variables Chapter 2 section 5 (2 hours)
7 / 06-10 Novb. / Two-variable systems of equations. Chapter 3 section 1 (1 hour)
n-variable systems. Chapter 3 section 3 (1 hour)
Selected Applications. Chapter 3 section 4 (2 hours)
8 / 13-15Novb. / Linear Programming Chapter 10 section 1 (1 hour)
Graphical solutions Chapter 10 section 2 (1/2hour)
Applications of linear programming Chapter 10 section 3 (1/2hour)
9 / 16-24 Novb. / First mid-term examinations
10 / 27 Novb.-1Decm. / Functions Chapter 4 section 1 (2 hour)
Types of functions Chapter 4 section 2 (2 hour)
11 / 04-08 Decm. / Piecewise functions Chapter 4 section 3 (2 hour)
Quadratic functions and their characteristics Chapter 6 section 1 (2 hour)
12 / 11-15 Decm. / Applications Chapter 5 section 1,2 (4 hour)
Revenue, cost profit functions, break-even models both linear and quadratic forms (Sections 5.1, 5.2, 6.2)
13 / 18-22 Decm. / Applications Chapter 6 section 2 (4 hour)
Revenue, cost profit functions, break-even models both linear and quadratic forms.
14 / 25-29 Decm. / Characteristic of exponential functions Chapter 7 section 1 (2 hour)
Applications of exponential functions Chapter 7 section 2 (2 hour)
15 / 04-05 Jan. / Logarithms and logarithmic functions Chapter 7 section 3 (2 hour)
16 / 08 Jan. / Final Exams.
ACADEMIC HONESTY
Individual accountability for all individual work, written or oral. Copying from others or providing answers or information, written or oral, to others is cheating. Providing proper acknowledgment of original author. Copying from another student’s paper or from another text without written acknowledgement is plagiarism. According to University’s bylaws cheating and plagiarism are serious offences resulting in a failure from exam or project and disciplinary action (which includes an official warning may appear in student’s transcript or/and suspension from University for up to one semester).
ADDITIONAL REMARKS
- Attendance is compulsory. Any student who has poor attendance and/or missed examination without providing a valid excuse will be given the NG grade.
- There will be no make-up quizzes
- Students missing an examination should provide a valid excuse within three days following the examination they missed. Only one make-up examination will be given at the end of the semester after the final period.