Exam 1 Information

Math 140
Spring 2008

Exam 1 is made up of 14 multiple choice questions, each worth 5 points (answers recorded on your scantron); 2 true/false questions, each worth 2 points (answers recorded on your scantron: A for true, B for false); and 3 "partial credit" problems for which you must show your work to receive full credit.  

Students are expected to know the following trig information from page 2 of the text:  right-angle trigonometry, trigonometric functions of important angles,  fundamental  identities and double angle formulas for sine and cosine.  You will not be expected to know law of cosines or law of sines.

Related rate problems often require knowledge of geometric formulas.  Students should know basic area formulas.  If used, the following formulas will be given:  volume of a sphere, volume of a cone, surface area of a sphere, surface area of a cone, surface area of a cylinder.  

Helpful study sheets:

• limits
• key

Following is a breakdown of multiple choice questions by section.  There is much overlap and many questions combine ideas and concepts from multiple sections.  
(Tentative)
2.2            1 question
2.3            3 questions
2.5*          2 questions
3.1,3.2*    2 questions
3.3            3 questions
3.4            3 questions
3.5            2 questions
3.6            1 question
3.7*          0 questions
3.8            2 questions
*Ideas from thess sections appear in other questions.

Partial Credit problems could be any three of the following:  

• from a graph determine limits, continuity, differentiability
• given a graph of a function, sketch a graph of the derivative function
• given a graph of the derivative function, sketch a graph of the function
• use the limit definition to find the derivative of a function.  NOTE:  This definition will NOT be given, it must be memorized.
• differentiate using rules to find y' or y''.
• implicitly differentiate to find y' or y''.
• find the total linear distance traveled in a time period by a particle whose path is described by a function.
• related rate problem 

For Examples of Related Rate problems, look at Exam 1 Fall 2007 or your book or Exam 2 from previous semesters.