Mth 163 Study Guide for Test  On Chapters 1 and 2              

In the chapter summaries in your textbook for these sections, you are responsible for ALL of the listed objectives EXCEPT the following:

Chapter 2 summary, p. 231  All EXCEPT:

2.3: How to plot complex numbers in the complex plane 

Note in section 2.5, you will not be required to solve the absolute value inequalities, polynomial inequalities or rational inequalities algebraically.  You will have these types of problems on the test, but you may use your graphing calculator to solve these three types of problems.

In addition you should be able to:

 Write your answer in interval notation when specified.
Compute and interpret the average rate of change between two points
 Work all word problems. We can not do every type of word problem in the text, so concentrate on the types that have been assigned in your homework.
 Use the horizontal line test to determine if a function is a one-to-one function and explain why this is important when identifying the inverse of a function. 
Evaluate the difference quotient for linear and quadratic functions. Difference quotient will not be given on the test. 

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Math 163    Study Guide for TEST on Chapters 3 and 4

 In your chapter summaries for these sections, you are responsible for ALL listed objectives EXCEPT the following:

 Chapter 3 summary: p. 312             All EXCEPT:

How to use the Rational Zero test. You ARE required to know what a rational root is.
How to use the Leading coefficient test
How to determine upper and lower bounds for zeros of a polynomial function
Use Descartes's Rule of Signs

In addition, you should be able to: 

Write your answers in interval notation when specified

Work all assigned word problems. We cannot do every type of word problem in the text, so concentrate on the types that have been assigned in your homework. You do not have to memorize the models from chapter 4, but you should know what the variables represent..

Identify the relative extrema of a polynomial function using the max/min finder on your calculator.

Use the regression feature of your calculator to find a linear, quadratic, logarithmic or exponential model from a given set of data.

Given the zeros of a polynomial function, write an equation of the polynomial function

Complete the square to identify the vertex of a parabola

Complete a function analysis for each type of  function studied in these two chapters.

Solve the equations both algebraically and with your graphing calculator. Some problems will require you to show the algebraic solution.

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Math 163 exam study guide                              

You may bring in one page of notes the size of a standard letter size sheet, back and front.  (8.5 " x  11")

  Major topics: 

Use of graphing calculator as a tool.
Functions and their graphs; function analysis of each type of function
                domain, range,  asymptotes
                zeroes of a function/x-intercepts
                inverse function, 1-1 functions, notation,  even/odd functions, symmetry
                translations and transformation of graphs, composition of functions
                polynomial, rational, piecewise, absolute value
Slope, average rate of change, difference quotient
Solutions of equations and inequalities
                interval notation, real number line
                quadratic, rational and absolute value functions
Complex numbers as solutions
                operations with complex numbers
Exponential and Logarithmic functions
                Definitions, graphs, domain, range, 
                intercepts, asymptotes
                solutions of equations
                Growth and decay word problems
Section 9.1
Systems of equations
Matrices

In each chapter review, study the chapter summaries at the end of each chapter.

You are responsible for the skills listed in the chapter summaries from Ch. P -  Ch. 3 as previously given.  For chapter 4, you are responsible for all the skills listed, but you do not have to memorize any of the models. 

For 9.1, in the chapter summary on page 765:

     Use sequence notation to write the terms of sequences
     Use factorial and summation notation
 
Matrices: You should be able to use your calculator to perform matrix operations and to find the inverse of a square matrix when possible.  You do not have to be able to do this algebraically.  You should be able to use the inverse of a matrix that you find with your calculator to solve a system of equations.

Rework all test and quizzes.

Work the chapter reviews as needed. Here are some suggested problems from the chapter reviews for extra practice:

Chapter P, pages 68-71

1, 9, 11, 27, 29, 51, 54 (answer: -3/(sqrt(2) + sqrt(11)), 55, 97, 99, 105, 113

Chapter 1, pages 156 – 158

17, 21, 23, 29, 31, 33, 35, 37, 41, 43, 53, 55, 57, 59, 61, 63, 73, 79, 81, 83, 91, 93, 107, 109, 115, 123

Chapter 2, pages 232-235

19, 25, 31, 39, 41, 47, 61, 75, 85, 87, 95, 101, 105, 107, 111, 112 (answer: 20, 80)

Chapter 3, pages 313 – 316

1, 5, 7, 13, 23, 25, 27, 29, 41, 49, 51, 53, 57, 59, 67, 69, 71, 75, 81, 91, 95, 101, 103, 111, 115

Chapter 4, pages 383 – 386

11, 23, 27, 29, 31, 33, 43, 51, 55, 57, 67, 69, 73, 75, 77, 89, 91, 103, 107, 121, 123, 141

Chapter 9, page 766

3, 11, 13 – 27 odd

All problems on the matrix handout

Here is how the exam is constructed:

18 multiple choice questions              54 points  
10 short answer                                 46 points                                100 points total  

You may bring in one page of notes the size of this standard letter size sheet, back and front.

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