# College Algebra V2

## by Harrisburg Area Community College

To subscribe to an iTunes U course, click View in iTunes.

#### Course Description

Topics covered in this course are: fundamental algebraic operations, exponents and radicals, systems of equations, higher degree equations, logarithms, matrices, and inequalities.

This course, taught on campus twice per week for 75 minutes, was primarily recorded at the Lancaster Campus of Harrisburg Area Community College. The video recordings are unedited clips from a live classroom. The prerequisite for this course is intermediate algebra. This course requires the use of a graphing calculator such as a TI-83 or TI-84.

Harrisburg Area Community College has multiple College Algebra iTunes U courses. They were created by different instructors. My course was published the second in iTunes U chronologically, thus the label V2.

After each lesson you will perform a self assessment to monitor your progress in the course. An estimated time need to perform each self assessment is stated in each post. Answer keys for each self assessment are provided in each post.

This course, taught on campus twice per week for 75 minutes, was primarily recorded at the Lancaster Campus of Harrisburg Area Community College. The video recordings are unedited clips from a live classroom. The prerequisite for this course is intermediate algebra. This course requires the use of a graphing calculator such as a TI-83 or TI-84.

Harrisburg Area Community College has multiple College Algebra iTunes U courses. They were created by different instructors. My course was published the second in iTunes U chronologically, thus the label V2.

After each lesson you will perform a self assessment to monitor your progress in the course. An estimated time need to perform each self assessment is stated in each post. Answer keys for each self assessment are provided in each post.

**You will NOT get any credit from taking this course in iTunes U though. You need to enroll as a regular or online student to receive credits. Please visit these web sites for more information.**__http://www.hacc.edu/____http://www.hacc.edu/virtual/__Name | Description | Time | Price | ||
---|---|---|---|---|---|

1 | Meet the Professor | -- | 1:41 | Free | View in iTunes |

2 | College Algebra by Paul Dawkins | -- | -- | Free | View in iTunes |

3 | Lesson1-Math modeling notes | -- | -- | Free | View in iTunes |

4 | Lesson 1-Math modeling video | -- | 4:34 | Free | View in iTunes |

5 | Lesson2-Solve equations in one variable | -- | -- | Free | View in iTunes |

6 | Lesson 2- Solve equations in one variable | -- | 15:05 | Free | View in iTunes |

7 | Lesson 3-Solve quadratic equations various ways | -- | -- | Free | View in iTunes |

8 | Lesson 3-Solve quadratic equations various ways | -- | 17:01 | Free | View in iTunes |

9 | Extra practice solving linear equations | -- | -- | Free | View in iTunes |

10 | part 1 solutions to guided practice solve linear equations | -- | 8:37 | Free | View in iTunes |

11 | Part 2- solutions to guided practice linear equations | -- | 9:15 | Free | View in iTunes |

12 | Part 3 solutions to guided practice solving linear equations | -- | 11:16 | Free | View in iTunes |

13 | Part 4 -solutions to guided practice linear equations | -- | 12:13 | Free | View in iTunes |

14 | 01.Top 5 word problems (part 1) | -- | 7:59 | Free | View in iTunes |

15 | 02.Top 5 word problems (part 2) | -- | 15:31 | Free | View in iTunes |

16 | Prerequisite skills- Part1 | -- | 20:22 | Free | View in iTunes |

17 | Prerequisite skills part 2 | -- | 27:23 | Free | View in iTunes |

18 | Prerequisite skills part 3 | -- | 25:42 | Free | View in iTunes |

19 | Prerequisite skills self assessment | -- | -- | Free | View in iTunes |

20 | 03.Solving linear equations | -- | 17:49 | Free | View in iTunes |

21 | 04.Slope,distance, and midpoint | -- | 12:06 | Free | View in iTunes |

22 | 04.Solving linear equations (continued) | -- | 6:13 | Free | View in iTunes |

23 | 05.Factoring help-learn to factor quickly | -- | 22:56 | Free | View in iTunes |

24 | 06.Solving quadratics using many methods | -- | 27:10 | Free | View in iTunes |

25 | 07.Solving by factoring (a quadratic equation) | -- | 10:02 | Free | View in iTunes |

26 | 08.Solving quadratic equations (factoring-square root method-completing the square) | -- | 22:19 | Free | View in iTunes |

27 | 09.Solving by completing the square | -- | 7:14 | Free | View in iTunes |

28 | 10.Using quadratic formula | -- | 4:33 | Free | View in iTunes |

29 | 11.Solving quadratic equations | -- | 17:42 | Free | View in iTunes |

30 | miscellaneous equations | -- | -- | Free | View in iTunes |

31 | 12.Solving miscellaneous equations guided practice | -- | -- | Free | View in iTunes |

32 | 12.Miscellaneous equations video solutions to practice set | -- | 30:47 | Free | View in iTunes |

33 | 12.Other types of equations-u substitutions-radical equations | -- | 16:05 | Free | View in iTunes |

34 | 13.Solving other types of equations | -- | 32:02 | Free | View in iTunes |

35 | lesson5-linear and compound inequalities notes | -- | -- | Free | View in iTunes |

36 | lesson5-linearand compound inequalities | -- | 17:17 | Free | View in iTunes |

37 | 14.Absolute value inequalities | -- | 7:52 | Free | View in iTunes |

38 | 15.Absolute value equations and inequalities | -- | 7:17 | Free | View in iTunes |

39 | 16.Linear inequalities-compound inequalities-absolute value inequalites | -- | 23:31 | Free | View in iTunes |

40 | 17.Solving linear inequalites-compound and absolute value | -- | 18:05 | Free | View in iTunes |

41 | lesson6-polynomial and rational inequalities | -- | -- | Free | View in iTunes |

42 | lesson6-polynomial and rational inequalities | -- | 18:23 | Free | View in iTunes |

43 | 18.Polynomial inequalities and rational inequalities-more | -- | 12:11 | Free | View in iTunes |

44 | 19.Rational and polynomial inequalities | -- | 10:51 | Free | View in iTunes |

45 | 19a.Solve a rational inequality | -- | 8:07 | Free | View in iTunes |

46 | Lesson7-graph circles- distance and midpoint formulas | -- | -- | Free | View in iTunes |

47 | lesson7-graphing circles and distance and midpoint formulas | -- | 15:21 | Free | View in iTunes |

48 | 20.Distance-midpoint-graphing various equations (inluding circles) | -- | 32:30 | Free | View in iTunes |

49 | 21.Distance and midpoint part 2-includes equations of circles | -- | 22:54 | Free | View in iTunes |

50 | 22.More work with circles | -- | 7:48 | Free | View in iTunes |

51 | lesson8-graphing by transformation and families of functions | -- | -- | Free | View in iTunes |

52 | lesson8 on graph by transformations and families of functions | -- | 21:53 | Free | View in iTunes |

53 | 23.Tests for symmetry | -- | 6:13 | Free | View in iTunes |

54 | 24.Tests for symmetry | -- | 8:34 | Free | View in iTunes |

55 | 25.More on origin symmetry | -- | 7:57 | Free | View in iTunes |

56 | 26.More on graphing and intercepts | -- | 6:24 | Free | View in iTunes |

57 | lesson9-writing and graphing linear equations | -- | -- | Free | View in iTunes |

58 | lesson9-write and graph linear equations | -- | 18:57 | Free | View in iTunes |

59 | 27.Graphing part 1-use TI-83 | -- | 3:58 | Free | View in iTunes |

60 | 28.Graphing part 2-use wolfram alpha | -- | 7:16 | Free | View in iTunes |

61 | lesson10-two variable systems | -- | -- | Free | View in iTunes |

62 | View lesson10- two variable systems | -- | 14:58 | Free | View in iTunes |

63 | lesson10- three variable systems | -- | -- | Free | View in iTunes |

64 | View lesson10-solve three variable systems | -- | 19:11 | Free | View in iTunes |

65 | 29.Solving systems-various methods-math 103 | -- | 15:44 | Free | View in iTunes |

66 | 30.Further solving systems of equations by various methods-math 103 | -- | 19:54 | Free | View in iTunes |

67 | 31.Systems of equations review | -- | 20:25 | Free | View in iTunes |

68 | Lesson11- solving a system using a matrix | -- | -- | Free | View in iTunes |

69 | lesson 11-matrices-solving systems using matrices | -- | 16:20 | Free | View in iTunes |

70 | 32.Gauss elimination with back substitution | -- | 11:38 | Free | View in iTunes |

71 | Lesson13B - functions and their graphs | -- | -- | Free | View in iTunes |

72 | 33.Matrices using TI-83 | -- | 3:52 | Free | View in iTunes |

73 | 34.More matrices using TI-83 | -- | 2:42 | Free | View in iTunes |

74 | 35.Matrix application(word problem) | -- | 9:13 | Free | View in iTunes |

75 | 36.Word problem-using matrix on calculator | -- | 7:09 | Free | View in iTunes |

76 | 37.Intro to row reducing and matrices | -- | 10:55 | Free | View in iTunes |

77 | 38.Reduced row echelon form (by hand) | -- | 10:07 | Free | View in iTunes |

78 | 39.More row reduced echelon form (by hand) | -- | 9:41 | Free | View in iTunes |

79 | Lesson 12- Matrix operations | -- | -- | Free | View in iTunes |

80 | lesson12-matrix operations part1 | -- | 17:09 | Free | View in iTunes |

81 | lesson12-matrix operations- part 2-inverse matrices | -- | 15:52 | Free | View in iTunes |

82 | 40.Intro to matrix algebra | -- | 15:40 | Free | View in iTunes |

83 | 41.Inverses of square matrices and matrix equations | -- | 20:49 | Free | View in iTunes |

84 | 42.Solving a system using matrix algebra | -- | 5:59 | Free | View in iTunes |

85 | 43.Inverses of square matrices-find by hand | -- | 13:27 | Free | View in iTunes |

86 | 44.Reviewing matrix algebra | -- | 15:27 | Free | View in iTunes |

87 | 45.Finding an inverse of a matrix and matrix algebra | -- | 17:20 | Free | View in iTunes |

88 | 46.Function notation-operations on polynomials | -- | 8:22 | Free | View in iTunes |

89 | 46.Piecewise functions, domain, range, even-odd analysis | -- | 12:59 | Free | View in iTunes |

90 | 47.More piecewise functions | -- | 10:05 | Free | View in iTunes |

91 | Lesson13B-functions and their graphs | -- | -- | Free | View in iTunes |

92 | lesson13B-functions and their graphs | -- | 16:18 | Free | View in iTunes |

93 | Graph by transformations I | -- | 11:33 | Free | View in iTunes |

94 | 48.Graphing by transformations | -- | 20:40 | Free | View in iTunes |

95 | 48.functions and their graphs 7 skills | -- | 26:54 | Free | View in iTunes |

96 | lesson14-function operations | -- | -- | Free | View in iTunes |

97 | L14-function operations | -- | 12:31 | Free | View in iTunes |

98 | 48.Functions and their graphs -7 skill sets | -- | 26:54 | Free | View in iTunes |

99 | 49.Average rate of change-defined | -- | 9:24 | Free | View in iTunes |

100 | 50.Average rate of change | -- | 5:01 | Free | View in iTunes |

101 | 51.Difference quotient (part 1) | -- | 6:34 | Free | View in iTunes |

102 | 52.Difference quotient (part 2) | -- | 3:56 | Free | View in iTunes |

103 | 52.Difference quotient( part 3) | -- | 5:04 | Free | View in iTunes |

104 | 53.Domain of functions and their compositions | -- | 20:54 | Free | View in iTunes |

105 | 54.Composite functions-algebra of functions | -- | 12:55 | Free | View in iTunes |

106 | Lesson15-inverse functions | -- | -- | Free | View in iTunes |

107 | lesson15-inverse functions | -- | 13:22 | Free | View in iTunes |

108 | 55.Inverse functions | -- | 16:46 | Free | View in iTunes |

109 | 55.Functions and their inverses | -- | 19:44 | Free | View in iTunes |

110 | Lesson16=modeling with variation | -- | -- | Free | View in iTunes |

111 | Lesson16-modeling with variation | -- | 11:08 | Free | View in iTunes |

112 | 56.Modeling using variation-direct and inverse | -- | 14:14 | Free | View in iTunes |

113 | 57.Modeling using variation | -- | 8:48 | Free | View in iTunes |

114 | 58.Graphing quadratics | -- | 23:17 | Free | View in iTunes |

115 | 59.Quadratics and intro to polynomial functions | -- | 19:37 | Free | View in iTunes |

116 | 60.Writing the quadratic function given a vertex and a point | -- | 4:31 | Free | View in iTunes |

117 | 61.Quadratics-word problem | -- | 2:42 | Free | View in iTunes |

118 | 62.Maximization problem | -- | 8:53 | Free | View in iTunes |

119 | 63.Longhand versus synthetic division | -- | 10:57 | Free | View in iTunes |

120 | 64.Long division and synthetic-review | -- | 8:09 | Free | View in iTunes |

121 | Lesson17-polynomial functions of higher degree | -- | -- | Free | View in iTunes |

122 | Lesson17-polynomial functions of higher degree | -- | 24:28 | Free | View in iTunes |

123 | 65.Polynomial functions of higher degree | -- | 22:55 | Free | View in iTunes |

124 | lesson18=theory of equations | -- | -- | Free | View in iTunes |

125 | lesson18-Theory of equations | -- | 15:19 | Free | View in iTunes |

126 | 66.Important theorems | -- | 16:10 | Free | View in iTunes |

127 | 67.Theorems galore | -- | 23:47 | Free | View in iTunes |

128 | 68.Finding zeros of a polynomial fuunction-theorems | -- | 21:15 | Free | View in iTunes |

129 | 69.Real zeros of a polynomial function-theory | -- | 26:36 | Free | View in iTunes |

130 | 70.Zeros of the polynomial-one all encompassing example | -- | 19:35 | Free | View in iTunes |

131 | 70a.Remainder theorem and factor thm | -- | 6:25 | Free | View in iTunes |

132 | 70b.The theory of equations(includes Descartes's rule) | -- | 17:54 | Free | View in iTunes |

133 | lesson19-polynomial functions | -- | -- | Free | View in iTunes |

134 | Lesson19-graph polynomial functions | -- | 17:12 | Free | View in iTunes |

135 | lesson20-rational functions | -- | -- | Free | View in iTunes |

136 | lesson20-graph a rational function | -- | 20:22 | Free | View in iTunes |

137 | 71.Rational functions( Part 1) | -- | 21:23 | Free | View in iTunes |

138 | 72.Rational functions (Part 2) | -- | 20:37 | Free | View in iTunes |

139 | 72.Graph a rational function | -- | 8:16 | Free | View in iTunes |

140 | 73.Analyzing a rational function | -- | 9:19 | Free | View in iTunes |

141 | 74.Exponential functions | -- | 25:13 | Free | View in iTunes |

142 | lesson 21-exponential functions | -- | -- | Free | View in iTunes |

143 | lesson21-exponential functions | -- | 17:56 | Free | View in iTunes |

144 | 75.Exponential and logarithmic functions | -- | 21:48 | Free | View in iTunes |

145 | 76.Graphing exponential functions | -- | 9:20 | Free | View in iTunes |

146 | lesson22-logarithmic functions | -- | -- | Free | View in iTunes |

147 | lesson22-logarithmic functions | -- | 18:12 | Free | View in iTunes |

148 | 77.Logarithmic functions and their graphs | -- | 20:33 | Free | View in iTunes |

149 | Lesson23- rules of logarithms | -- | -- | Free | View in iTunes |

150 | lesson23-Rules of logarithms | -- | 12:57 | Free | View in iTunes |

151 | 78a.Rules of logarithms -practice | -- | 16:08 | Free | View in iTunes |

152 | 78. Properties of logarithms (part 1) | -- | 15:39 | Free | View in iTunes |

153 | 79.Properties of logarithms (part 2) | -- | 29:47 | Free | View in iTunes |

154 | 80.Properties of logarithms (part 3) | -- | 21:02 | Free | View in iTunes |

155 | 81.Solving exponential and logarithmic equations | -- | 15:53 | Free | View in iTunes |

156 | lesson24-applications of exponential equations and logarithms | -- | -- | Free | View in iTunes |

157 | Lesson24-applications of exponential equations and logarithms | -- | 17:24 | Free | View in iTunes |

158 | L24. Quick tip-How to graph logarithmic functions | -- | 8:59 | Free | View in iTunes |

159 | 82.Logarithmic and exponential equations | -- | 28:03 | Free | View in iTunes |

160 | 83.Using logarithms to solve compound interest problem | -- | 3:31 | Free | View in iTunes |

161 | 84.Half life and exponential decay | -- | 9:43 | Free | View in iTunes |

162 | HW1.pdf | -- | -- | Free | View in iTunes |

163 | HW2.pdf | -- | -- | Free | View in iTunes |

164 | HW3.pdf | -- | -- | Free | View in iTunes |

165 | HW4.pdf | -- | -- | Free | View in iTunes |

166 | HW5.pdf | -- | -- | Free | View in iTunes |

167 | HW6.pdf | -- | -- | Free | View in iTunes |

168 | HW8.pdf | -- | -- | Free | View in iTunes |

169 | HW7.pdf | -- | -- | Free | View in iTunes |

170 | HW9.pdf | -- | -- | Free | View in iTunes |

171 | Final Exam.pdf | -- | -- | Free | View in iTunes |

172 | WolframAlpha | Remember the Star Trek computer? It's finally happening--with Wolfram|Alpha. Building on 25 years of development led by Stephen Wolfram, Wolfram|Alpha has rapidly become the world's definitive source for instant expert knowledge and computation. Across thousands of domains--with more continually added--Wolfram|Alpha uses its vast collection of algorithms and data to compute answers and generate reports for you. Parts of Wolfram|Alpha are used in the Apple Siri Assistant; this app gives you access to the full power of the Wolfram|Alpha computational knowledge engine. Domains covered by Wolfram|Alpha include: MATHEMATICS Elementary Math Numbers Plotting Algebra Matrices Calculus Geometry Trigonometry Discrete Math Number Theory Applied Math Logic Functions STATISTICS & DATA ANALYSIS Descriptive Statistics Regression Statistical Distributions Probability PHYSICS Mechanics Electricity & Magnetism Optics Thermodynamics Relativity Nuclear Physics Quantum Physics Particle Physics Statistical Physics Astrophysics CHEMISTRY Elements Compounds Ions Solutions Reactions Chemical Thermodynamics MATERIALS Alloys Minerals Crystallography Plastics Woods ENGINEERING Acoustics Aeronautics Electric Circuits Fluid Mechanics Steam Tables Psychrometrics Refrigeration ASTRONOMY Star Charts Astronomical Events Planets Moons Space Weather Stars Pulsars Galaxies Star Clusters Nebulae Astrophysics EARTH SCIENCE Geology Geochronology Geodesy Earthquakes Tide Data Atmosphere Climate LIFE SCIENCES Animals & Plants Dinosaurs DNA Sequence Lookup Proteins Genomes Metabolic Pathways COMPUTATIONAL SCIENCES Cellular Automata Substitution Systems Turing Machines Computational Complexity Algebraic Codes Fractals Image Processing UNITS & MEASURES Conversions Comparisons Dimensional Analysis Industrial Measures Paint DATES & TIMES Date Computations Time Zones Calendars Holidays Geological Time WEATHER Current & Historical Weather Forecasts Wind Chill Hurricanes Clouds Climate PLACES & GEOGRAPHY Maps Projections Geodesy Navigation Distances Geomagnetism Geocoding Countries Cities Elevation Data Oceans Lakes Rivers Islands Mountains PEOPLE & HISTORY People Genealogy Names Occupations Political Leaders Historical Events, Periods & Countries Historical Money CULTURE & MEDIA Books Movies Video Games Fictional Characters Mythology Television Programs Awards MUSIC Musical Notes Intervals Chords Scales Audio Waveforms Instruments Songs WORDS & LINGUISTICS Word Properties Dictionary Lookup Puzzles Anagrams Languages Document Length Morse Code Soundex SPORTS & GAMES Football Baseball Olympics Stadiums Lotteries Card Games COLORS Color Names & Systems Color Addition Temperatures Wavelengths MONEY & FINANCE Stock Data Indices Mutual Funds Futures Mortgages Present Value Currency Conversion Bonds Derivatives Valuation Wages Sales Tax SOCIOECONOMIC DATA Demographics Countries US States US Counties Cities Economics Agriculture Energy Salaries Unemployment Cost of Living Health Care Housing Social Statistics Crime Military Religion HEALTH & MEDICINE Body Measurements Growth Charts Exercise Diseases Mortality Data Medical Test Data FOOD & NUTRITION Foods Dietary References EDUCATION International Education Universities Public Schools Standardized Tests ORGANIZATIONS Companies Hospitals Foundations International Organizations TRANSPORTATION Airports Airlines Aircraft Flight Data Gasoline Prices Tides TECHNOLOGICAL WORLD Communications Satellites Space Probes Photography Barcodes WEB & COMPUTER SYSTEMS Website Data IP Lookup Notable Computers String Processing Hashing Unicode Lookup (Wolfram|Alpha Pro capabilities such as file upload and personal analytics are not yet available through this app.) | -- | $2.99 | View in iTunes |

173 | Free Graphing Calculator | *** Now over 4 million downloads. Thanks users!*** A powerful, flexible graphing calculator . . . and it's free! Does far more than most of the paid calculators out there . . . let alone the free ones. Features: 1) Scientific Calculator. Simple to grasp and easy to use, but powerful features are available when you need them. Available functions include the following: • the usual arithmetic functions and exponentiation. • square root, cube root, nth root, natural log, log base 10, log of arbitrary base, absolute value, factorial, permutations (nPr), combinations (nCr), modulus, random integer, bell curve, cumulative normal distribution, decimal to fraction. 2) Graphing. Capabilities: • Graph up to four equations at once. • Graphs are labeled. • You can drag the graph or pinch to zoom in or out. • Calculator can find roots and intersections. • Graph in polar coordinates. • Graph parametric equations • Can graph implicit functions, such as x^2+y^2-4=0. Most calculator apps can't do this! 3) A unit converter. With a tap, you can enter the result of your conversion into the calculator. Currently converts different units of the following: acceleration, angle, area, density, distance, energy, force, mass, power, pressure, speed, temperature, time, and volume. Great for doing physics homework! 4) Constants for scientific calculations -- speed of light, strength of gravity at Earth's surface, etc. etc. etc. Tapping on a constant will insert it into your calculation -- i.e, you don't have to key in the value. Again, great for doing physics homework! 5) It can make a table of the values of any function you care to enter. You can choose the starting x value of the table, as well as how much x increases for each successive row. 6) Help screens linked directly to many of the available functions and constants. Tap the disclosure arrow to see the definition. 7) Forgot the quadratic formula? Or the double-angle formulas for sine and cosine? The math/science reference hits the high points of various subjects. Currently includes algebra, differential and integral calculus, geometry, trigonometry, vectors, vector calculus, and classical mechanics. 8) Keep track of significant figures [AKA sig figs] 9) Statistics -- enter data and make a histogram, box and whisker plot, or scatter plot with optional regression line. If you are viewing this in iTunes, you will see five iPhone screenshots and five iPad screenshots. But even ten shots don't come close to showing everything this calculator can do. I'd love to hear your comments or suggestions. You can write me at mathscixyzgraphcalc@gmail.com -- but without the xyz. Thanks! | -- | Free | View in iTunes |

174 | FAQ/simplify a rational expression | -- | 4:47 | Free | View in iTunes |

175 | Student's question about solutions to quadratic equations | -- | 0:48 | Free | View in iTunes |

176 | FAQ- regarding complex numbers solutions(my response) | -- | 2:24 | Free | View in iTunes |

176 Items |

#### Customer Reviews

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##### psu_student

Love you! professor. I wish you're my Math teacher @ PSU

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