Download M2 Final Exam Review, Swokowski 12 edition p75 Chapter 1

M2 Final Exam Review, Swokowski 12 edition
p75 Chapter 1
Simplify exponents: 3 thru 8, (also p25, 8, 25, 27)
Radicals Simplify: 9 thru 13
Radicals Rationalize: 14
Polys Add/subtract/mult: 15 thru 22
Polys Factors: 23 thru 30
Rational add/subtract: 31 thru 32
Rational complex; 33 thru 35
Rational simplify calculus type: 36 (factor or mult to remove minor fractions and minimum
exponents)
Equation rational: 37 (Mult by global LCD or build to create single fractions each side using
global LCM)
Equation quadratic: 38 to 39
Equation become quadratic: 40 to 41 (substituting first is optional, then factor)
Equation absolute value: 41 to 43
Equation rational and radical: 44
Equation radical: 45 to 46
Inequality: 49, 55 thru 60
Inequality absolute value: 50 to 52
Equation many letters: 61 to 64
Simplex expressions with complex numbers: 65 thru 68
p174 Chapter 2
distance between points: 3 to 5
midpoint of segment: 3
equation of circle: 6 to 8, 17, 18
slopes of lines: 9
equation of lines: 11 to 12, 15
function evaluate: 19
function domain: 22
function evaluate calculus type: 23, 24
function odd or even: 26
function add/sub/mult/divide and find domain: 69, 70
function composition and find domain: 71
graphs sketch using library and transformation: 27 to 35, 39, 53
graph circle: 36 to 38
graph, find domain and range: 43 to 51
quadratic function max/min: 59 to 62 (complete the square or use h = -b/2a)
quadratic function complete the square: 59 thru 63
quad function find equation from two points: 64
p244 Chapter 3
function poly graph ones where easy to factor to find zeroes: 1 to 6
function poly intermediate value theorem: 7, 8
function poly divide: 9 to 14
function poly zeroes and form it using Conjugate Pairs Theorem: 15, 16
function poly zeros multiplicity: 17 to 20
function poly zeroes DesCartes rule of signs: 21 to 23
function poly zeroes, find them where hard to factor: 24 to 26
function rational find/use vertical asymptotes, end behavior, x-intercepts, holes: 29, 40
function rational graph when end behavior is horizontal line: 30 to 36
function rational find slant asymptote: 37 to 39
function rational graph when end behavior is slant line: 37 to 39
equations given as proportional relationships: 41 to 42
p316 Chapter 4
function graph determine if one-to-one in x: 1 (horiz line tes is line parallel to x-axis)
graph determine if it is function of x: p132, 15, 16 (vertical line test is line perpendicular to xaxis)
function graph f and inverse of f: 3,4
function graph exponential: 7 to 16
function graph logarithmic: 17 to 24
expression log evaluate: 25, 26
equation exponential: 27 to 28, 35 to 37
equation log: 29 to 34, 38
equation exponential/log difficult or other: 39 to 44, 51 to 52
expression log expand/condense: 47 to 48
function exponential or log and find domain: 55 to 56
p405 Chapter 5
convert between radians and degrees: 1, 2
triangle solve given it is right and use special angles: 7, 8
triangle solve given it is right and other sides or angles: 57 to 60
trig identity write one function in terms of other: 9, 10
trig identity prove: 11 to 20
find quadrant where angle lies given sign of trig functions: 23
find point given angle aka signed arc: 25
find point given point and transformed angle aka signed arc: 26
find reference angle: 27
trig functions evaluate at angle given sides of triangle: 21
trig functions evaluate at angle given point in plane: 22
trig functions evaluate at angle given ratios of some trig functions: 24
trig functions evaluate at special angles: 28, 29
trig functions graph sine or cosine with no phase shift: 25 to 40
trig function graph given, find amplitude/period: 41 to 44
trig function graph sine or cosine with phase shift: 45 to 48
trig function graph tangent with phase shift: 49 to 50
p475 Chapter 6
trig identity prove: 1 to 14
trig equation: 23 to 37
trig function evaluate using identity: 41 to 44 (half angle or sum/difference of angles)
trig function evaluate given rations of other trig functions: 45 to 58 (half/double/sum/diff)
trig function inverse find exact at number: 61 to 76
trig function inverse find exact at variable: 77 to 80
p535 Chapter 7
triangle solve given SAS: 1, 7 (start with Law of Cosines)
triangle solve given ASS: 2, 6 (Law of Sines)
triangle solve given AAS: 3, 5 (Law of Sines)
triangle solve given SSS: 4, 8 (start with Law of Cosines)
word problem of Law of Sines or Law of Cosines: 42 to 47
p627 Chapter 8
equations system 2 by 2 linear: 1, 2
equations system 2 by 2 non linear: 3 to 8
equations system 3 by 3 linear: 9 to 14
inequalities system solve by graphing: 17 to 20
p709 Chapter 9
sequence evaluate: 1 to 4
sequence recursive evaluate: 5 to 8, 27
summation evaluate: 9 to 14
series express in sigma notation; 15 to 26
arithmetic sequence find given terms: 28, 30
arithmetic sequence find sum: 28, 29, 41, 42
geometric sequence find given terms: 34, 35, 37, 40
geometric sequence find partial sum: 40, 43, 44
geometric sequence infinite find sum: 45
series prove using induction: 47 to 50
binomial expand or find terms: 57 to 60
p782 Chapter 10
quadratic function aka parabola, find components and graph: 1, 2, 7, 10, 13, 17, 18, 20 to 22, 29,
30
ellipse or circle, find components and graph: 3, 6, 8, 11, 14, 23, 26 to 28, 31, 32
hyperbola, find components and graph: 4, 5, 9, 12, 15, 16, 19, 24, 25, 33, 34