MATH 101 COURSE SYLLABUS (2011-2012, Spring Semester) MATH 101 INTRODUCTION TO CALCULUS I ……… (3-0) 3 Instructors: Ümit Aksoy Catalog Data: Basic algebra, Graphs, Functions and Their Graphs, Equations and Inequalities, Polynomials and Rational Functions, Exponential and Logarithmic Functions, System of Equations, Matrices, Determinants. Textbook: Introductory Mathematical Analysis for Business, Economics, and the Life and Social Sciences by E. F. Haeussler, Jr Richard S. Paul and Richard J. Wood, Pearson Prentice Hall, 12th edition.. Reference(s): Precalculus Enhanced with Graphing Utilities, Second edition, Michael Sullivan and Michael Sullivan, Prentice Hall, 1996. Prerequisite: None Goals and Objectives: The aim of this course is to introduce and motivate the ideas of mathematical analysis for business, economics and social sciences in an intuitive and intellectually satisfying way. Different techniques of problem solving are illustrated with a variety of examples that highlight the direct application of mathematical analysis to the economical, social and managerial sciences. Attendance Policy: Attendance is an essential requirement of this course. Any student should attend more than %80 lecture hours: If you do attend less than %80 of the lecture hours up to an exam (midterm or final examination) then you can not take this exam (midterm or final examination) and you will get an NA grade. Grading Policy: There will be two midterms and one final examination. Midterm I: 30% Midterm II: 30% Final: 40% ______________________________________ TOTAL 100% Make-up: Make-up exams will be given only if the proper documentation from Faculty Administrative Committee Decision for the absence is received. You must submit the medical report for the absence to your department in three days after the last day of the report. Otherwise, it will not be accepted. Make-up exams for Midterms and Final examination will be announced on the course web page. IMPORTANT: All students should provide an ID card to serve as identification. Any student without an ID card CANNOT take the exam. Course Web Page: http://www.atilim.edu.tr/~math101/ COURSE CHART Week Dates Feb.13-17, 2012 1 2 3 Feb.20-24, 2012 Feb.27-Mar.2, 2012 Mar.5-9, 2012 4 5 Mar.12-16, 2012 6 Mar.19-23, 2012 7 Mar.26- 30, 2012 Apr.2-6, 2012 8 9 Apr.9-13, 2012 Apr.16-20, 2012 10 11 12 13 Apr.23-27, 2012 April23(Monday) HOLIDAY Apr.30-May4, 2012 May1(Tuesday) HOLIDAY May7-11, 2012 0.1-0.5 Preliminaries 0.6 Fractions 0.7. Linear Equations 0.8. Quadratic Equations 1.1. Applications of Equations 1.2. Linear Inequalities 1.3. Applications of Inequalities 1.4. Absolute Value 2.1. Functions 2.2. Special Functions 2.3. Combinations of Functions 2.4. Inverse Functions 2.5. Graphs in Rectangular Coordinates 2.6. Symmetry 2.7. Translations and Reflections 3.1. Lines 3.2. Applications and Linear functions 3.3.Quadratic Functions 3.4. Systems of Linear Equations 3.5. Nonlinear Systems 3.6. Applications of Systems of Equations 4.1. Exponential Functions 4.2. Logarithmic Functions 4.3. Properties of Logarithms 4.4. Logarithmic and Exponential Equations 5.1. Compound Interest 5.2. Present Value 6.1. Matrices 6.2. Matrix Addition and Scalar Multiplication 6.3. Matrix Multiplication May 14-18, 2012 6.4. Solving Systems by Reducing Matrices 6.5. Solving Systems by Reducing Matrices(Continue) 6.6. Inverses (Inverse of a Matrix) Determinants (not in the textbook) Cramer’s Rule (not in the textbook) May 21, 2012 Review of the course. 14 15 Sections Covered and Comments