LSU

Mathematics

Mathematics

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 material**s**

**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 Continity**

**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 Deman**d)**

**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 Indifinite 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)