Math 82


TECHNICAL MATHEMATICS II(3:3:0) Exponents, radicals, complex numbers, theory of
equations, inequalities, half angle and double angle formulas, inverse 
trigonometric functions, exponential, logarithm, conic sections.
 
Prerequisite: Math 81.

Text: Basic Technical Mathematics w/Calculus. Fifth Edition. 
Allyn J. Washington, Addison-Wesley, 1990.

  Chapter   Sections   Topics
    10          1      Integral Exponents                                             
                2      Fractions Exponents                                            
                3      Simplest Radical Form                                          
                4      Addition and Subtraction of Radicals                           
                5      Division of Radicals                                           

    11         1,2     Complex Numbers: Basic Operations                              
                3      Graphical Representation of Complex Numbers                    
                4      Polar Form of a Complex Number                                 
                5      Exponential Form of a Complex Number                           
                6      Products, Quotients, Powers, Roots of Complex Numbers         
                7      An Application to Alternating-Current Circuits                

    13          1      Graphical Solution of Systems of Equations                    
                2      Algebraic Solutions of Systems of Equations                   
                3      Equations in Quadratic Form                                   
                4      Equations with Radicals                                       
 
                       EXAMINATION I                                                   

    14          1      The Remainder and Factor Theorems                             
                2      Synthetic Division                                            
                3      Roots of a Polynomial Equation                                
                4      Rational and Irrational Roots                                 

    15          1      Properties of Inequalities                                    
                2      Solution of Linear Inequalities                               
                3      Solution of Nonlinear Inequalities                            
                4      Inequalities Involving Absolute Values                        

    12         1,2     The Exponential and Logarithm Functions; Graphs               
                3      Properties of Logarithms                                      
                4      Logarithms to the Base 10                                     
                6      Natural Logarithms                                            
                7      Exponential and Logarithmic Equations                         
                8      Graphs on Logarithmic and Semilogarithmic Paper               

                       EXAMINATION II                                                 

    19          1      Fundamental Trigonometric Identities                          
                2      Sine and Cosine of the Sum and Difference of Two Angles       
                3      Double Angle Formulas                                         
                4      Half-Angle Formulas                                           
                5      Trigonometric Equations                                       
                6      The Inverse Trigonometric Functions                           

    20         1,2     The Straight Line                                             
                3      The Circle                                                    
                4      The Parabola                                                  
                5      The Ellipse                                                   
                6      The Hyperbola                                                 
                9      Polar Coordinates                                             
               10      Curves in Polar Coordinates                                   
                       REVIEW                                                        

                       FINAL EXAMINATION