Syllabus Options for Finite Mathematics (4e)
Note: Topics in the sample syllabi below are linked to detailed on-line chapter summaries (or to actual on-line course material in the case of Algebra Review and Extra Topics) unless otherwsise stated.
Option 1: Introduction to Linear and Probabilistic Models
Option 2: Linear Mathematics with Applications
Option 3: Matrix and Probabilistic Models
Option 4: Logic, Sets, Probability, and Statistics
Option 5: Introduction to Linear and Probabilistic Models (On-Line or Computer Classroom Environment)
Note: Topics marked "On-Line" are linked to the actual on-line course material. Other topics are linked to detailed on-line summaries of the textbook chapters.
Option 6: Introduction to Linear and Probabilistic Models With a Focus on Concepts, Modeling and Technology ("Reform")
- Functions and Linear Models (Chapter 1)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Systems of Linear Equations and Matrices (Chapter 2)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Matrix Algebra (Chapter 3) (Optional)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Linear Programming (Chapter 4)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Sets and Counting (Chapter 6)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Probability (Chapter 7)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
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Syllabus Options for Applied Calculuis (4e)
Note: Topics in the sample syllabi below are linked to detailed on-line chapter summaries (or to actual on-line course material in the case of Algebra Review and Extra Topics) unless otherwsise stated.
Option 1: Precalculus and Calculus (Traditional)
Option 2: Basic Applied Calculus (Traditional)
Option 3: Applied Calculus (On-Line or Computer Classroom Environment)
Note: Topics marked "On-Line" are linked to actual on-line course material. Other topics are linked to detailed on-line summaries of the textbook chapters.
Option 4: Applied Calculus With a Focus on Concepts, Modeling and Technology ("Reform Calculus")
Note: Topics marked "On-Line" are linked to actual on-line course material. Other topics are linked to detailed on-line summaries of the textbook chapters. On-line utilites for technology are references in the text.
- Linear Functions and Models (Chapter 1) (Sections 1-4)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- On-Line: Scaled and Shifted Functions
- Non-Linear Functions and Models (Chapter 2)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- On-Line: Using & Deriving Algebraic Properties of Logarithms
- On-Line: Introduction to the Derivative (Based on Chapter 3)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- On-Line: Sketching the Graph of the Derivative
- On-Line: Continuity & Differentiability
- Techniques of Differentiation (Chapter 4)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Applications of the Derivative (Chapter 5)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- The Integral (Chapter 6)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- On-Line: Numerical Integration
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Syllabus Options for Finite Mathematics & Applied Calculus (4e)
Note: Topics in the sample syllabi below are linked to detailed on-line chapter summaries (or to actual on-line course material in the case of Algebra Review and Extra Topics) unless otherwsise stated.
Option 1: Applied Mathematics (Traditional with Precalculus)
First Semester
Second Semester
Option 2: Applied Mathematics (On-Line or Computer Classroom Environment)
Note: Topics marked "On-Line" are linked to actual on-line course material. Other topics are linked to detailed on-line summaries of the textbook chapters.
First Semester
Second Semester
Option 3: Applied Mathematics With a Focus on Concepts, Modeling and Technology ("Reform")
Note: Topics marked "On-Line" are linked to actual on-line course material. Other topics are linked to detailed on-line summaries of the textbook chapters. On-line utilites for technology are references in the text.
First Semester
- On-Line: Algebra Review (Based on Appendix A)
- Functions and Linear Models (Chapter 1)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- On-Line: Scaled and Shifted Functions
- Systems of Linear Equations and Matrices (Chapter 2)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Matrix Algebra (Chapter 3) (Optional)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Linear Programming (Chapter 4)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Sets and Counting (Chapter 6)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Probability (Chapter 7)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
Second Semester
- Non-Linear Functions and Models (Chapter 9)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- On-Line: Using & Deriving Algebraic Properties of Logarithms
- On-Line: Introduction to the Derivative (Based on Chapter 10)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- On-Line: Sketching the Graph of the Derivative
- On-Line: Continuity & Differentiability
- Techniques of Differentiation (Chapter 11)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- Applications of the Derivative (Chapter 12)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- The Integral (Chapter 14)
. . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- On-Line: Numerical Integration
- Further Integration Techniques and Applications of the Integral (Chapter 14). . . .Self-Study or Lab: Excel Manual, Graphing Calculator Manual, Download Excel tutorials for this chapter, or go to Math Tools for this Chapter as shown on the summary web page
- On-Line: Trigonometric Functions and Models (Optional)
- On-Line: Calculus with Probability (Optional)
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