The text book is not required for the course. It is recommended and is available through the bookstores around campus. It does contain a separate section with a brief description of Math 1431, Business Calculus at Louisiana State University, and some explanations and sample screen shots on the use of My Math Lab, the software require for use on all homework, quizzes, tests and the final exam. The book may also be packaged with an access code necessary for using WebAssign.
The title of the textbook is
Calculus for Business, Economics, Life Sciences, and Social Sciences, 12 th Edition
The authors are Barnett, Ziegler, and Byleen.
The book is published by Prentice Hall and Pearson.
A brief listing of the sections covered in this course along with a short description of the topics:
Section 1.2 Linear Equations (Definition of Slope, Equations of Lines including Vertical and Horizontal Lines - this is review material)
Section 2.1 Functions and Their Graphs (Domain, Range, Definition of a Function, using Functions to Model Applications - this is review materials
Section 2.5 Exponential Functions (Definition, Properties and Laws for Exponential Functions with an Emphasis on Exp(x) - this section is generally considered a review)
Section 2.6 Logarithmic Functions (Definition, Properties and Laws for Logarithmic Functions with an Emphasis on ln(x) and the Connection through Inverses with Exponential Functions- this section is generally considered a review. Calculations involving continuous compounding are done at this time)
Section 3.1 Limits an introduction (One-Sided limits with a lot of Focus on Piecewise defined Functions)
Section 3.2 Infinite limits and Limits at Infinity
Section 3.3 Basic Rules of Continuity
Section 3.4 The Derivative
Section 3.5 Basic Differentiation Properties
Section 3.7 Marginal Functions in Economics (Marginal Cost, Revenue and Profit, Average Cost, Marginal Average Cost, Elasticity of Demand)
Section 4.1 The Constant e and Continuous Compound Interest
Section 4.2 Derivatives of Exponential and Logarithmic Functions
Section 4.3 Derivatives of Products and Quotients
Section 4.4 The Chain Rule
Section 4.7 Elasticity of Demand
Section 5.1 First Derivative and Graphs
Section 5.2 Second Derivative and Graphs
Section 5.5 Absolute Maxima and Minima
Section 5.6 Optimization
Section 6.1 Antiderivatives and Indefinite Integrals
Section 6.2 Integration by Substitution
Section 6.4 The Definite Integral
Section 6.5 The Fundamental Theorem of Calculus and Evaluating Definite Integrals (Properties of Definite Integrals, Reviewing Substitution with Definite Integrals, Average Value of a Continuous Function)
Section 7.1 Area Between Curves
Section 7.2 Applications of the Definite Integral to Business and Economics ( Consumer and Producer Surplus, Future Value of an Income Stream, Amount and Present Value of an Annuity)