Basic Calculus for Social Sciences (MATH 106)

2012-2013 "BASIC CALCULUS FOR SOCIAL SCIENCES", MATH 106/A, Credit:3

Course detailed description can be found here.

Objectives of the Course/Dersin amacı: The objective of this course is to provide a mathematical foundation for students in economics, management & international relations. It begins with pre-calculus topics such as equations, functions and matrix algebra with applications of mathematics of finance. These applications cover economics, business and management. Thus, students through out this course will see continually how the mathematics they are learning can be used.

My expectations of you/Öğrencilerden beklentilerim:

in English:
  • Ability to write correct and polite business letters to all of your professors. An example can be found here. You may also refer to the book "How to Say It" which provides clear and practical guidance for what to say and what not to say in any situation.
  • Bringing your laptops at each lesson;
  • Doing homework at time;
  • Attending to lessons and listening to your professors;
  • Doing everything precisely and in details;
  • Doing everything at time without being late;
  • Working hard;
  • Trying to understand every topic as much as you can;
  • Working in groups;
  • Trying to make research in areas connected with this course;
  • Communicating in clear English;
  • Preparing for midterm and final exam;
  • Everyday progress in your studies.
in Turkish:
  • Tüm profesörlerinize doğru, kibar ve iş mailleri tarzında ciddi mailler yazmanız. Örnek maili buradan bulabilirsiniz. Ayrıca, "How to Say It" kitabına bakarak herhangi bir durumda ne söyleyip ne söylemeyeceğinizi net bir şekilde öğrenebilirsiniz;
  • Dizüstü bilgisayarlarınızı her derse getirmeniz;
  • Zamanında ödevlerinizi yapmanız;
  • Derslerinize katılmanız ve profesörlerinizi dinlemeniz;
  • Her şeyi titizce ve detayları ile yapmanız;
  • Her şeyi  zamanında yapmanız;
  • Sıkı çalışmanız;
  • Her konuyu en iyi şekilde anlamaya çalışmanız;
  • Gruplar şeklinde çalışmanız;
  • Dersimiz ile alakalı araştırmalar yapmanız;
  • Anlaşılır bir İngilizce ile iletişim kurmanız;
  • Ara ve Final sınavlarına hazırlanmanız;
  • Çalışmalarınızda her gün gelişme göstermeniz.

Recommended Reading/Derste kullanılacak kaynaklar:

in English:
  1. Ernest F. Haeussler, Richard S. Paul, Richard J. Wood, Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences, Publisher:  Pearson [Publisher Web site] (available in the library: Yer Numarası: QA 300.H328/, Demirbaş: 0046618, Bölüm: Ders Kitapları Bölümü);
  2. Margaret L. Lial, Thomas W. Hungerford, and John P. Holcomb, Jr., Mathematics with Applications, Addison Wesley, Ninth Edition, 2007;
  3. Larry J. Goldstein, David I. Schneider, David C. Lay, Nakhle H. Asmar, Calculus and Its Applications (12th Edition), Prentice Hall, 2009 [Publisher Web site];
  4. Claudia Neuhauser, Calculus For Biology and Medicine (3rd Edition), Prentice Hall, 2010 [Publisher Web site];
  5. Ron Larson, Applied Calculus for the Life and Social Sciences, Brooks Cole, 2008 [Publisher Web site];
  6. An Introductory Course of Mathematical Analysis, Cambridge University Press, 1974;
  7. Thomas’ Calculus, by R.L. Finney, M.D. Weir and F.R Giordano, published by Addison Wesley, 11th edition, 2006;
  8. Boris Demidovich (Ed.), Problems in mathematical analysis, MIR Publishers, Moscow, 1997 [PDF, 10 Mb].

in Turkish:

  1. Matematiksel analize giriş: ekonomi ve işletme öğrencileri için = Introductory mathematical analysis: for students of business and economics / Ernest F. Haeussler; Jr., Richard S. Paul; çevirenler Halit Çakır, Ahmet Öztürk (available in the library: Yer Numarası: QA 300.H3319/, Demirbaş: 0043872, Bölüm: Ders Kitapları Bölümü).

Homeworks/Ödevler

Homework problems will be assigned each week and should be done in your exercise book before the class. Some homeworks will be done in Microsoft Word, where all formulas should be written in MathType or Microsoft Equation.
  1. Find all recommended books in pdf or djvu format (except those ones, which you could download from here), and send to my email: rushanziatdinov@gmail.com.
  2. Collect all your emails in one *.txt file, and send to my email. Emails should be separated with commas (,).
  3. Write down the objectives of the course, course description, learning outcomes (expectations), and provide references of recommended books and textbooks in both English and Turkish languages into your exercise book. You can find all needed information here.
  4. Download, install, and start using the dynamic geometry environment GeoGebra. For more detailed information on this software visit the website: http://www.geogebra.org. Have a look on GeoGebra materials.
  5. Visit the Museum of Mathematics, and watch title video for getting some information on the applications of mathematics.
  6. Learn the alternative way for multiplication of numbers. Provide some examples in your exercise book using this method.
  7. Etc.
Preparation for the exam (online tutorials)
  1. Mathematical sets [video1];
  2. Numbers, operation with numbers;
    What is integer number? [video1];
    Multiplying integers numbers [video1];
    Dividing integers [video1];
    Subtracting integers [video1];
    What is real number? ( Natural numbers,whole number, integers, rational numbers, irrational numbers, irrational numbers, how to remember the numbers,what can we do/not do with irrational numbers,examples of irrational numbers (roots fractions etc) [video1];
  3. Simplifying Expressions [video1], [video2];
  4. Equations and Inequalities;
    Equations and Inequalities [video1];
    Solving radical and quadratic equations [video1];
    Quadratic Equations,  Functions and Graphs [video1];
  5. Graphs;
    Lines and Parabolas [video1], [video2];
    Functions and Graphs [video1]; 
    Graphing Functions in GeoGebra [video1];
  6. Systems of linear and non-linear equations [video1];
  7. Logarithmic and exponential functions and their properties;
    Exponential Functions [video1];
    Logarithmic Functions [video1];
    Properties of logarithmic and exponential functions [video1];
  8. Matrix addition and scalar multiplication [video1];
  9. Gauss elimination method [video1];