Syllabus Options for Applied Calculus (2e) Stefan Waner & Steven R. Costenoble

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Option 1: Precalculus and Calculus (Traditional)

• Algebra Review (Appendix A)
• Linear Functions and Models (Chapter 1)
• Non-Linear Functions and Models (Chapter 2)
• Introduction to the Derivative (Chapter 3)
• Techniques of Differentiation (Chapter 4)
• Applications of the Derivative (Chapter 5)
• The Integral (Chapter 6)

Option 2: Basic Applied Calculus (Traditional)

• Linear Functions and Models (Chapter 1)
• Non-Linear Functions and Models (Chapter 2)
• Introduction to the Derivative (Chapter 3)
• Techniques of Differentiation (Chapter 4)
• Applications of the Derivative (Chapter 5)
• The Integral (Chapter 6)
• Further Integration Techniques and Applications of the Integral (Chapter 7)
• Functions of Several Variables (Chapter 8) (Optional)

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.

• On-Line: Algebra Review (Based on Appendix A; Optional)
• Linear Functions and Models (Chapter 1) (Sections 1-4)
• On-Line: Scaled and Shifted Functions
• Non-Linear Functions and Models (Chapter 2)
• On-Line: Using & Deriving Algebraic Properties of Logarithms
• On-Line: Linear & Exponential Regression
• On-Line: Introduction to the Derivative (Based on Chapter 3)
• On-Line: Sketching the Graph of the Derivative
• On-Line: Continuity & Differentiability (Optional)
• On-Line: Techniques of Differentiation (Based on Chapter 4)
• Applications of the Derivative (Chapter 5) (Related rates is On-Line)
• On-Line: The Integral (Based on Chapter 6)
• On-Line: Numerical Integration

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