FINAL EXAM STUDY GUIDE
Math 140 Spring 2008
A chapter-by-chapter point breakdown follows:
Chapter 2 24 points
Chapter 3 39 points
Chapter 4 36 points
Chapter 5 27 points
Chapter 6 24 points
There are 150 points on the final exam.
There are 17 multiple choice questions each worth 6 points. Bubble choices on scantron.
There are 4 true/false questions each worth 3 points. Bubble choices on scantron.
There are 3 partial credit questions for a total of 36 points.
Important concepts and topics
• LIMITS – the underlying concept for calculus! Techniques and understanding are important.
• Derivatives
• Integrals
Important (named) theorems – know and understand the statements of and conditions for
• Squeeze Theorem
• Intermediate Value Theorem
• Extreme Value Theorem
• Rolle’s Theorem
• Mean Value Theorem
• Fundamental Theorem of Calculus (Parts 1 and 2)
Important definitions and techniques to know
• Critical number
• Derivative
• Definite integral
• Indefinite integral
Important applications of derivatives
• Rates of change
• Related rates
• Optimization
• Graphing
Important applications of integrals
• Area between 2 curves
• Volumes of revolution – disks, washers, cylindrical shells