Eastern Mediterraneanuniversity

EASTERN MEDITERRANEAN UNIVERSITY COURSE OUTLINE TEMPLATE

COURSE CODE MATH155 COURSE LEVEL Freshman COURSE TITLE Mathematics COURSE TYPE Area Core Mehmet Ali TUT(gr.01),Room:AS251,Tel:1237, mail: [email protected] Emine Çeliker(gr.03), Room:AS250, Tel:2403 mail: [email protected] LECTURER(S) Sinem Genç (gr.02), Room:AS146, Tel:2345, mail: [email protected] Nil Gürbüz (gr.04), Room:AS137, Tel:1010, mail: [email protected] CREDIT VALUE 3 ECTS VALUE 4 PREREQUISITES COREQUISITES DURATION OF COURSE 1 semester WEB LINK http://brahms.emu.edu.tr/tut CATALOGUE DESCRIPTION

Groups, numbers, continuity in functions, limit and derivatives, proportion and function graphics, kinds of function, integral, methods of taking an integral, area between the curves, volume calculations, exponential numbers, logarithmic calculations

AIMS & OBJECTIVES

The main objective of the course is to make a refresh the college mathematics background of the students The topics will be supported by selected applications.

GENERAL LEARNING OUTCOMES (COMPETENCES)

On successful completion of this course, all students will have developed knowledge and understanding of: - Basic algebraic operations on numbers and expressions - Linear, quadratic, exponential and logarithmic functions - Limits, and continuity of functions - Derivatives - Integrals On successful completion of this course, all students will have developed their skills in: - Basic algebraic operations on sets of numbers, mainly integer, and real numbers - Fractions, Ratio, Proportion - Mathematical expressions and operations - Area and volume of solid objects - Limit evaluations, and continuity check - Finding derivatives by rules - Locating and identifying critical points and their natures - Integrals and rules - Finding areas under a curve and/or between two curves On successful completion of this course, all students will have developed their appreciation of and respect for values and attitudes regarding the issues of: - Willingness to work independently to solve problems - Willingness to reach extra information about the topics (library and/or internet) - Plagiarism and cheating GRADING CRITERIA A Excellent understanding of the concepts and the principles as (Excellent) demonstrated by correct and accurate knowledge and application ~85% and above of theory/laws in solving problems. Response to problems is clear, legible, concise and accurate. Excellent performance. (Good) ~70% and above Better than average understanding of the concepts and the 70-74:B, 75-79:B+, 80-84:A- 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

(Average) An average understanding of the concepts and the principles as ~60 % and above demonstrated by reasonably correct knowledge and application of 60-62:C, 63-65:C+, 66-69:B- 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. (Barely sufficient) Minimal knowledge and barely sufficient understanding of the ~50% and above concepts and the principles as demonstrated by approximately 50-52:D, 53-55:D+, 56-59:C- 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. (Fail) Work does not meet the most minimal standards. It reveals no Below 50% understanding of the material, lack of basic academic skills and 0-34:F, 35-49:D- knowledge, or completely incomprehensible writing. Performance is not acceptable NG Conditions that might lead to NG grade. nil grade Totally absent in classes and exams RELATIONSHIP WITH OTHER COURSES The methods mentioned in the course will help the students to understand the discussions and comments in other courses about medicine.

LEARNING / TEACHING METHOD

Reading and analysing lecture notes, class discussions, extra works on assigned exercises, quizzes and tutorials. ASSIGNMENTS Extra problem sheets can be provided to the students for their practice addition to the exercises assigned in the classes. METHOD OF ASSESSMENT Midterm examination I 25% Midterm Examination II 25% Final Exam 50% ATTENDANCE Attendance is required. Students are responsible not only for the material presented and discussed, but also for any announcements made in class. Poor attendance may result NG grade TEXTBOOK/S No Specific textbook. INDICATIVE BASIC READING LIST Lecture Notes EXTENDED READING LIST Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences. Ernest F. Haeussler, Jr., Richard S. Paul. Prentice Hall. SEMESTER OFFERRED

2014-2015 Spring Semester CONTENT & SCHEDULE Lectures will be held on

The lecture topics within the semester are as in the following schedule:

WEEK DATE TOPICS 1 March 09-15 Review of Algebra: Sets and set operations. Sets of Numbers. Basic algebraic operations with Numbers (integers, rational numbers, irrational numbers, real numbers). Exponents, Radicals and scientific notations. Algebraic Expressions and basic Operations. Fraction, Ratio, Proportion. 2 March 16-22 Factoring. Simplification of Expressions. Linear Equations. Quadratic Equations. Applications of Equations. Surface area and Volume of Solid Objects. 3 March 23-29 Lines, Parabolas, and Systems: Straight Lines. Applications of Linear Functions. 4 March 30- April Systems of Linear Equations and Solution by Elimination (only 2x2 05 systems) 5 April 06-12 Exponential and Logarithmic Functions: Exponential Functions. 6 April 13-19 Logarithmic Functions. Properties of Logarithms. 7 April 20-23 Logarithmic and Exponential Equations and their solutions. 8,9 April 24-May 06 Midterm Examinations Period 10 May 07- May 10 The Limits and rules of Limits. Differentiation: 11 May 11-May 17 The Derivative. Rules for Differentiation. The Derivative as a Rate of Change. The Product Rule and the Quotient Rule. 12 May 18-24 The Chain Rule. Derivatives of Logarithmic Functions. Derivatives of Exponential Functions. 13 May 25-31 Applications of Derivatives: Relative Extrema. The First and Second-Derivative Tests. Absolute Extrema on a Closed Interval. Concavity. Applied Maxima and Minima. 14 June 01-07 Integration: The Indefinite Integral. Integration with Initial Conditions. Integration by Parts. Integration by Partial Fractions. 15 June 08-18 The Definite Integral. The Fundamental Theorem of Integral Calculus. Area Under a Curve and Area Between Curves. 16 June 22- July 04 Final Examinations PLAGIARISM 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). ANY OTHER USEFUL INFORMATION (SUCH AS STUDIO RULES, MAKE-UP EXAMS, STUDENTS’ RESPONSIBILITIES, EQUIPMENT OR MATERIAL NEEDED, SITE TRIPS, ETC.) Attendance is compulsory. Students with poor attendance and not attended the exams will receive NG grade. A make-up exam will be given for the missed midterm examination.