Math 121       Study Guide for Hour Quiz #4         C.S.Davis

 

You are responsible for the subject matter in the three chapters and sections below. The following topics are the most important. Typical exercises from Basic Technical Mathematics with Calculus, 7th ed, by Allyn J. Washington are assigned at the end of each objective. Work additional exercises if you need more practice. The answers to the odd numbered problems are in the back of the text.  These exercises are for practice and are not graded.  The problem sets found on the Algebra&Trig Welcome Page are graded in class.  See the Semester Plan for the current dates for the grading of the problem sets and taking of the hour quizzes.
10.1 - 10.3         Trigonometric Graphs
1. There are three ways to specify a function of the form  y = a sin(bx+c) or y = a cos(bx+c).
1. the equations above      2. the name, amplitude, period, displacement and orientation.    3. the graph
Given one specification, give the other two.     P279#5,19      P282#3,9,23,29     P286#5,9,11
10.4          Graphs of the other four trigonometric functions
1. Graph several periods of the other four trig functions using the graphing calculator.   P290#13,15,17,19
10.5          Applications of Trigonometric Graphs
1. Graph the relationship given in a word problem involving trig functions.   P292#7,15
10.6          Composite Trigonometric Curves
1. Graph several periods of composite trig curves on the graphing calculator.   P296#9,13
2. Graph parametric trig equations (Lissajous curves) with the graphing calculator in parametric mode.   P296#21,23,25
11.1          Simplifying Expressions with Integer Exponents
1. Simplify expressions involving exponents, expressing answers with only positive exponents.  P304#1,9,19,29,31,43
11.2          Fractional Exponents
1. Simplify expressions involving fractional exponents, expressing answers with only positive exponents.  P308#1,5,11,19,21,25,29,31,35,43
11.3          Simplest Radical Form
1. Write expression involving radicals in simplest form, rationalizing all denominators.   P312#3,5,9,17,25,35,41,43
11.4          Addition and Subtraction of Radicals
1. Add and subtract expression involving radicals, leaving them in simplest form and rationalizing all denominators.   P314#1,7,13,25,33,35
11.5          Multiplication and Division of Radicals
1. Multiply and divide expression involving radicals, leaving them in simplest form and rationalizing all denominators.   P315#1,5,11,13,21,29,35
12.1          Basic Definitions for Complex Numbers
1. Simplify expressions involving complex numbers.   P324#1,3,7,11,13,15,17,19,21
2. Find complex conjugates.   P325#37,39
3. Solve linear equations involving complex numbers...P325#41,43
12.2          Basic Operations for Complex Numbers in rectangular form
1. Add, subtract, multiply and divide complex numbers in rectangular form.   P327#1,511,29
12.3          Graphical Representation of Complex Numbers 
1. Graphically perform addition and subtraction of complex numbers.   P329#5,7,13,25,31
12.4          Polar Form Complex Numbers
1. Convert between rectangular and polar forms of complex numbers and graph either.   P332#1,5,9,13,15,17,19,29,37,39
12.5          Exponential Form Complex Numbers
1. Convert among rectangular, polar and exponential forms of complex numbers.   P335#1,7,13,21,29,33,35
12.6          Products, Quotients, Power and Roots of Complex Numbers
1. Find products and quotients of complex numbers using the polar and exponential forms of complex numbers.   P341#1,5,9,21,27
2. Find powers and roots of complex numbers using the polar and exponential forms of complex numbers and deMoivre's theorem.   P341#31,35,39
12.7          An Application to Alternating Current (ac) Circuits
1. Solve to find the resistance, impedance, reactance and frequency of various parts of an LRC circuit.   P347#1,3,5,7,9,11,13,15