Math 1160 Finite Mathematics and an Introduction to Calculus Credits: 5 Prerequisites: Math ACT 23 or higher or a grade of at least C- in Math 1005 or dept consent; Credit will not be granted if credit has been received for: 1290, 1296, 1596 Grading: A-F only Liberal Education Category: Category Satisfied: CATEGORY TWO: Math, Logic and Critical Thinking Liberal Education Goals and Objectives: This course introduces students to mathematics essential to business and economics majors. Topics include functions, systems of linear equations, linear programming and the calculus and their role in modeling real-world problems. Course Description: This course introduces the concepts of mathematics used in business, social sciences, and life sciences. It covers functions,matrices, determinants, graphical and algebraic methods for solving systems of linear equations and inequalities, an introduction to linear programming and an applied introduction to the calculus. Text: Finite Mathematics and Applied Calculus, Fourth Edition. Author: Waner and Costenoble. Required: TI 83/84 Graphing Calculator. Microsoft Excel (available from Campus Computer Corner) Course Content: Chapters Sections 1 Functions and Linear Models 1.1 Numerical and Algebraic Viewpoints 1.2 Graphical Viewpoint 1.3 Linear Functions 1.4 Linear Models 2 Systems of Linear Equations and Matrices 2.1 Systems of Two Equations in Two Unknowns 2.2 Using Matrices to Solve Systems 2.3 Applications of Systems 3 Matrix Algebra and Applications 3.1 Matrix Addition and Scaler Multiplication 3.2 Matrix Multiplication 3.3 Matrix Inversion 4 Linear Programming 4.1 Graphing Linear Inequalities 4.2 Solving Linear Programming Problems Graphically 4.3 Simplex Method for Standard Maximization Problems 5 Mathematics of Finance 5.1 Simple Interest 5.2 Compound Interest 5.3 Annunities Loans and Bonds 9 Nonlinear Models 9.1 Quadratic Functions and Models 9.2 Exponential Functions and Models 9.3 Logorithmic Functions and Models 9.4 Logistic Functions and Models 10 Introduction to the Derivative 10.1 Limits: Numerical and Graphical Approaches 10.2 Limits and Continuity 10.3 Limits: Algebraic Approach 10.4 Average Rate of Change 10.5 Derivatives: Numerical and Graphical Approaches 10.6 Derivatives: Algebraic Approach 10.7 Derivatives of Powers, Sums, and Constant Multiples 10.8 Marginal Analysis 11 Techniques of Differentiation 11.1 The Product and the Quotient Rules 11.2 The Chain Rule 11.3 Derivatives of Logarithmic and Exponential Functions 11.4 Implicit Differentiation 12 Applications of the Derivative 12.1 Maxima and Minima 12.2 Applications of Maxima and Minima 12.3 The Second Derivative and Analyzing Graphs 12.4 Related Rates 12.5 Elasticity 15 Functions of Several Variables 15.1 Functions of Several Variables from the Numerical and Algebraic Viewpoints 15.2 Three-Dimensional Space and the Graph of a Function of Two Variables 13.3 Partial Derivatives 13 The Integral (if time) 13.1 The Indefinite Integral 13.2 Substitution 13.3/4 The Definite Integral Copyright 2001, University of Minnesota, Duluth. The University of Minnesota is an equal opportunity educator and employer. This web page is maintained by the Department of Mathematics and Statistics, and was last updated April 16th, 2008. Send comments to math@d.umn.edu.