# Differential Equations

## by Harrisburg Area Community College

This course material is only available in the iTunes U app on iPhone or iPad.

#### Course Description

This course covers different methods to solve ordinary differential equations of the first and second order with physical and geometrical applications. Other methods include differential operators; Laplace Transform; matrices; solutions in series; eigenvalues and eigenvectors, and numerical approximation.

This course requires a solid foundation in algebra and trigonometry and strong background in Calculus (I, II, III)- differentiation and implicit differentiation; methods of integration include integration by parts and partial fractions; series; differentiation and integration of functions of two variables; operations on matrices; and determinants.

The prerequisite for the live Differential Equations course is a minimum grade of C in Calculus II.

**You will NOT get any credit from taking this course in iTunes U though. You need to enroll as a regular student to receive credits.**

**This course is offered in spring semester only.**Please visit this web site for more information.Name | Description | Time | Price | ||
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1 | Desmos Graphing Calculator | Explore math with Desmos! Plot functions, create tables, add sliders, animate your graphs, and more -- all for free. At Desmos, we imagine a world of universal math literacy and envision a world where math is accessible and enjoyable for all students. We believe the key is learning by doing. To achieve this vision, we’ve started by building the next generation of the graphing calculator. Using our powerful and blazingly-fast math engine, the calculator can instantly plot any equation, from lines and parabolas up through derivatives and Fourier series. Sliders make it a breeze to demonstrate function transformations. It's intuitive, beautiful math. And best of all: it's completely free. Features: Graphing: Plot polar, cartesian, or parametric graphs. There’s no limit to how many expressions you can graph at one time - and you don’t even need to enter expressions in y= form! Sliders: Adjust values interactively to build intuition, or animate any parameter to visualize its effect on the graph. Try typing y=mx+b and adding sliders to get started. Tables: Input and plot data, or create an input-output table for any function. Statistics: Find best-fit lines, parabolas, and more. Calculus: Graph derivatives (d/dx) and explore key concepts by building secant and tangent line sliders. Graph Maclaurin Series (okay, all kinds of Taylor Series, but that guy gets no love...) Evaluate a definite integral (int) in an instant, or plot an integral with varying bounds. Zooming: Scale the axes independently or at the same time with the pinch of two fingers, or edit the window size manually to get the perfect window. Points of Interest: Touch a curve to show maximums, minimums, and points of intersection. Tap the gray points of interest to see their coordinates. Hold and drag along a curve to see the coordinates change under your finger. Scientific Calculator: Just type in any equation you want to solve and Desmos will show you the answer. It can handle square roots, logs, absolute value, and more. Inequalities: Plot cartesian and polar inequalities. Offline: No internet access required. Visit www.desmos.com to learn more and to see the free online version of our calculator. | -- | Free | View in iTunes |

2 | 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 |

3 | Symbolab Calculator | Your private math tutor, solves any math problem with steps! Integrals, Derivatives, Equations, Limits and much more. (Steps require a one-time in-app purchase.) Symbolab Math Solver is composed of over a hundred of Symbolab most powerful calculators: Integral Calculator Derivative Calculator Limit calculator Equation Calculator Inequality Calculator Trigonometry Calculator Matrix Calculator Functions Calculator Series Calculator ODE Calculator Laplace Transform Calculator Download the app to experience the full set of Symbolab calculators. Symbolab Math Solver solves any math problem including Pre- Algebra, Algebra, Pre-Calculus, Calculus, Trigonometry, Functions, Matrix, Vectors, Geometry and Statistics. | -- | Free | View in iTunes |

4 | GeoGebra Classic | Millions of people around the world use GeoGebra Math Calculators to learn mathematics and science. Join us: Dynamic Mathematics for everyone! Our GeoGebra Math Calculators bundle includes these apps and features: * Graphing Calculator: plot functions with sliders and solve equations * Geometry Calculator: create interactive geometric constructions * 3D Calculator: graph functions, surfaces and many more 3D objects * Spreadsheet Calc: analyze data and do statistics connected with graphing * CAS Calculator: solve math problems with our powerful computer algebra system * Probability Calc: visualize parameters and distributions quickly * Exam Calculator: use our Math Calculators during tests and exams * Search for free learning activities directly from our apps * Save and share your results with friends and teachers | -- | Free | View in iTunes |

5 | Wolfram Calculus Course Assistant | Taking calculus? Then you need the Wolfram Calculus Course Assistant. This definitive app for calculus—from the world leader in math software—will help you work through your homework problems, ace your tests, and learn calculus concepts. Forget canned examples! The Wolfram Calculus Course Assistant solves your specific Calculus problems on the fly including step-by-step guidance for derivatives, integrals, and much more. This app covers the following topics applicable to Calculus, AP Calculus AB, AP Calculus BC, Calculus I, and Calculus II: - Evaluate any numeric expression or substitute a value for a variable. - Plot basic, parametric, or polar plots of the function(s) of your choice. - Determine the limit of a function as it approaches a specific value. - Differentiate any function or implicit function. - Find the critical points and inflection points of a function. - Identify the local and absolute extrema of a function. - Integrate a function, with or without limits. - Sum a function given a lower and upper bound. - Find the closed form of a sequence or generate terms for a specific sequence. The Wolfram Calculus Course Assistant is powered by the Wolfram|Alpha computational knowledge engine and is created by Wolfram Research, makers of Mathematica—the world's leading software system for mathematical research and education. The Wolfram Calculus Course Assistant draws on the computational power of Wolfram|Alpha's supercomputers over a 3G, 4G, or Wi-Fi connection. | -- | $3.99 | View in iTunes |

6 | 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 |

7 | 1_I_a_Introduction to Differential Equations Examples I | -- | 14:00 | Free | View in iTunes |

8 | 1_I_a_Introduction to Differential Equations Examples I | -- | -- | Free | View in iTunes |

9 | 1_I_a_Introduction to Differential Equations Examples I | -- | 14:00 | Free | View in iTunes |

10 | 1_I_a_Introduction to Differential Equations Examples I.pdf | -- | -- | Free | View in iTunes |

11 | 1_I_b.Solutions of Differential Equations and IVP Examples I | -- | 14:11 | Free | View in iTunes |

12 | 1_I_b_Solutions of Differential Equations and IVP Examples I.pdf | -- | -- | Free | View in iTunes |

13 | 1_I_b.Solutions of Differential Equations and IVP Examples I | -- | 14:11 | Free | View in iTunes |

14 | 1_I_b.Solutions of Differential Equations and IVP Examples I | -- | 14:11 | Free | View in iTunes |

15 | 1_I_b_Solutions of Differential Equations and IVP Examples I.pdf | -- | -- | Free | View in iTunes |

16 | 1_II_a.Direction Fields Examples I | -- | 33:02 | Free | View in iTunes |

17 | 1_II_a_Direction Fields Examples I.pdf | -- | -- | Free | View in iTunes |

18 | 1_II_a.Direction Fields Examples II | -- | 28:14 | Free | View in iTunes |

19 | 1_II_a_Direction Fields Examples II.pdf | -- | -- | Free | View in iTunes |

20 | 1_II_a_Direction Fields Examples II | -- | -- | Free | View in iTunes |

21 | 1_III_a.Taylor Series Method Examples I | -- | 22:15 | Free | View in iTunes |

22 | 1_III_a_Taylor Series Method Examples I | -- | -- | Free | View in iTunes |

23 | 1_III_a_Taylor Series Method Examples II | -- | 17:02 | Free | View in iTunes |

24 | 1_III_a_Taylor Series Method Examples II | -- | -- | Free | View in iTunes |

25 | 1_IV_a_Euler Method Examples I | -- | 26:39 | Free | View in iTunes |

26 | 1_IV_a_Euler Method Examples I | -- | -- | Free | View in iTunes |

27 | 1_IV_a_Euler Method Examples II | -- | 12:48 | Free | View in iTunes |

28 | 1_IV_a_Euler Method Examples II | -- | -- | Free | View in iTunes |

29 | 2_I_a_Separation of Variables Method to Solve ODE Examples I | -- | 10:14 | Free | View in iTunes |

30 | 2_I_a_Separation of Variables Method to Solve ODE Examples I | -- | -- | Free | View in iTunes |

31 | 2_I_a_Separation of Variables Method to Solve ODE Examples II | -- | 9:31 | Free | View in iTunes |

32 | 2_I_a_Separation of Variables Method to Solve ODE Examples II | -- | -- | Free | View in iTunes |

33 | 2_I_b_Homogeneous Equations Examples I | -- | 19:21 | Free | View in iTunes |

34 | 2_I_b_Homogeneous Equations Examples I | -- | -- | Free | View in iTunes |

35 | 2_I_b_Homogeneous Equations Examples II | -- | -- | Free | View in iTunes |

36 | 2_I_b_Homogeneous Equations Examples II | -- | 17:02 | Free | View in iTunes |

37 | 2_II_a_Exact Equations Examples I | -- | 22:16 | Free | View in iTunes |

38 | 2_II_a_Exact Equations Examples I | -- | -- | Free | View in iTunes |

39 | 2_II_a_Exact Equations Examples II | -- | 23:07 | Free | View in iTunes |

40 | 2_II_a_Exact Equations Examples II | -- | -- | Free | View in iTunes |

41 | 2_II_b_Application Orthogonal Trajectories Examples I | -- | 18:22 | Free | View in iTunes |

42 | 2_II_b_Application Orthogonal Trajectories Examples I | -- | -- | Free | View in iTunes |

43 | 2_III_a_Integrating Factor Method for ODE Examples I | -- | 17:38 | Free | View in iTunes |

44 | 2_III_a_Integrating Factor Method for ODE Examples I | -- | -- | Free | View in iTunes |

45 | 2_III_a_Integrating Factor Method for ODE Examples II | -- | 13:04 | Free | View in iTunes |

46 | 2_III_a_Integrating Factor Method for ODE Examples II | -- | -- | Free | View in iTunes |

47 | 2_III_b_Special Integrating Factor Method Examples I | -- | 18:09 | Free | View in iTunes |

48 | 2_III_b_Special Integrating Factor Method Examples I | -- | -- | Free | View in iTunes |

49 | 2_III_b_Special Integrating Factor Method Examples II | -- | 15:39 | Free | View in iTunes |

50 | 2_III_b_Special Integrating Factor Method Examples II | -- | -- | Free | View in iTunes |

51 | 2_III_b_Special Integrating Factor Method Examples III | -- | 18:08 | Free | View in iTunes |

52 | 2_III_b_Special Integrating Factor Method Examples III | -- | -- | Free | View in iTunes |

53 | 2_III_c_Other Substitution Method Examples I | -- | 14:38 | Free | View in iTunes |

54 | 2_III_c_Other Substitution Method Examples I | -- | -- | Free | View in iTunes |

55 | 2_III_c_Other Substitution Method Examples II | -- | 10:09 | Free | View in iTunes |

56 | 2_III_c_Other Substitution Method Examples II | -- | -- | Free | View in iTunes |

57 | 2_III_d_Bernoulli Equations Examples I | -- | 22:04 | Free | View in iTunes |

58 | 2_III_d_Bernoulli Equations Examples I | -- | -- | Free | View in iTunes |

59 | 2_III_d_Bernoulli Equations Examples II | -- | 25:20 | Free | View in iTunes |

60 | 2_III_d_Bernoulli Equations Examples II | -- | -- | Free | View in iTunes |

61 | 2_III_d_Riccati Equations Examples III | -- | 26:45 | Free | View in iTunes |

62 | 2_III_d_Riccati Equations Examples III | -- | -- | Free | View in iTunes |

63 | 2_III_d_Riccati Equations Examples III | -- | -- | Free | View in iTunes |

64 | 2_III_d_Riccati Equations Examples III | -- | -- | Free | View in iTunes |

65 | 2_III_e_Equations with Linear Coefficients Examples I | -- | -- | Free | View in iTunes |

66 | 2_III_e_Equations with Linear Coefficients Examples I | -- | 23:32 | Free | View in iTunes |

67 | 2_III_e_Equations with Linear Coefficients Examples II | -- | 20:52 | Free | View in iTunes |

68 | 2_III_e_Equations with Linear Coefficients Examples II | -- | -- | Free | View in iTunes |

69 | 2_IV_a_Applications_Growth and Decay Examples I | -- | 15:05 | Free | View in iTunes |

70 | 2_IV_a_Applications_Growth and Decay Examples I | -- | -- | Free | View in iTunes |

71 | 2_IV_a_Applications_Mixture Problems Examples III | -- | 21:43 | Free | View in iTunes |

72 | 2_IV_a_Applications_Mixture Problems Examples III | -- | -- | Free | View in iTunes |

73 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIa | -- | 25:29 | Free | View in iTunes |

74 | Applications_Newton Examples IIa.pdf | -- | -- | Free | View in iTunes |

75 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIa | -- | 25:29 | Free | View in iTunes |

76 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIa | -- | -- | Free | View in iTunes |

77 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIa.pdf | -- | -- | Free | View in iTunes |

78 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIb | -- | 14:58 | Free | View in iTunes |

79 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIb | -- | -- | Free | View in iTunes |

80 | Applications_Newton Examples IIb.pdf | -- | -- | Free | View in iTunes |

81 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIb | -- | 14:58 | Free | View in iTunes |

82 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIb | -- | -- | Free | View in iTunes |

83 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIc | -- | 24:13 | Free | View in iTunes |

84 | Applications_Newton Examples IIc.pdf | -- | -- | Free | View in iTunes |

85 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIc | -- | 24:13 | Free | View in iTunes |

86 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIc | -- | -- | Free | View in iTunes |

87 | 2_IV_b_Applications_Newton Law of Cooling Problems Examples IIc | -- | -- | Free | View in iTunes |

88 | 2_IV_e_Applications_Sky Diving Problems Examples Va | -- | 21:29 | Free | View in iTunes |

89 | 2_IV_e_Applications_Sky Diving Problems Examples Va | -- | -- | Free | View in iTunes |

90 | 3_I_a_Homogeneous Linear Equation w constant coeff Theory | -- | 10:03 | Free | View in iTunes |

91 | 3_I_a_Homogeneous Linear Equations w constant coeff Theory | -- | -- | Free | View in iTunes |

92 | 3_I_b_Homogeneous Linear Equation w constant coeff Examples I | -- | 5:18 | Free | View in iTunes |

93 | 3_I_b_Homogeneous Linear Equations w constant coeff Examples I | -- | -- | Free | View in iTunes |

94 | 3_II_a_Homogeneous Linear Cauchy Euler Equations Theory | -- | 11:08 | Free | View in iTunes |

95 | 3_II_a_Homogeneous Linear Cauchy Euler Equations Theory | -- | -- | Free | View in iTunes |

96 | 3_II_b_Homogeneous Linear Cauchy Euler Equations Examples I | -- | 5:46 | Free | View in iTunes |

97 | 3_II_b_Homogeneous Linear Cauchy Euler Equations Examples I | -- | -- | Free | View in iTunes |

98 | 3_II_b_Homogeneous Linear Cauchy Euler Equations Examples II | -- | 15:24 | Free | View in iTunes |

99 | 3_II_b_Homogeneous Linear Cauchy Euler Equations Examples II | -- | -- | Free | View in iTunes |

100 | 3_II_c_Finding the Homogeneous Linear Equations Examples | -- | 14:06 | Free | View in iTunes |

101 | 3_II_c_Finding the Homogeneous Linear Equations Examples | -- | -- | Free | View in iTunes |

102 | 3_III_b_Undetermined Coeff method Examples I | -- | 20:19 | Free | View in iTunes |

103 | 3_III_b_Undetermined Coefficients method Examples I | -- | -- | Free | View in iTunes |

104 | 3_III_b_Undetermined Coeff method Examples II | -- | 8:44 | Free | View in iTunes |

105 | 3_III_b_Undetermined Coeff method Examples II | -- | -- | Free | View in iTunes |

106 | 3_III_b_Undetermined Coeff method Examples III | -- | 29:56 | Free | View in iTunes |

107 | 3_III_b_Undetermined Coeff Method Examples III | -- | -- | Free | View in iTunes |

108 | 3_IV_a_Variation of Parameters method Theory | -- | 12:32 | Free | View in iTunes |

109 | 3_IV_a_Variation of Parameters method Theory | -- | -- | Free | View in iTunes |

110 | 3_IV_b_Variation of Parameters method Examples I | -- | 25:30 | Free | View in iTunes |

111 | 3_IV_b_Variation of Parameters method Examples I | -- | -- | Free | View in iTunes |

112 | 3_IV_b_Variation of Parameters method Examples II | -- | 7:04 | Free | View in iTunes |

113 | 3_IV_b_Variation of Parameters method Examples II | -- | -- | Free | View in iTunes |

114 | 3_IV_b_Variation of Parameters method Examples III | -- | 17:49 | Free | View in iTunes |

115 | 3_IV_b_Variation of Parameters method Examples III | -- | -- | Free | View in iTunes |

116 | 3_V_a_Mechanical vibrations Theory | -- | 11:53 | Free | View in iTunes |

117 | 3_V_a_Mechanical vibrations Theory | -- | -- | Free | View in iTunes |

118 | 3_V_b_Mechanical vibrations Examples | -- | 34:18 | Free | View in iTunes |

119 | 3_V_b_Mechanical vibration Examples | -- | -- | Free | View in iTunes |

120 | 3_VI_b_Forced Mechanical vibrations Examples | -- | 21:02 | Free | View in iTunes |

121 | 3_VI_b_Forced Mechanical vibration Examples | -- | -- | Free | View in iTunes |

122 | 4_I Differential Operators Examples | -- | 13:54 | Free | View in iTunes |

123 | 4_I_Differential Operations Examples | -- | -- | Free | View in iTunes |

124 | 4_II Systems of Equations Examples I | -- | 21:11 | Free | View in iTunes |

125 | 4_II Systems of Equations Examples I | -- | -- | Free | View in iTunes |

126 | 4_II Systems of Equations Examples II | -- | 23:48 | Free | View in iTunes |

127 | 4_II Systems of Equations Examples II | -- | -- | Free | View in iTunes |

128 | 4_II Systems of Equations Examples III | -- | 9:48 | Free | View in iTunes |

129 | 4_II Systems of Equations Examples III | -- | -- | Free | View in iTunes |

130 | 4_III_a_Find An Annihilator | -- | 15:06 | Free | View in iTunes |

131 | 4_III_a_Find An Annihilator | -- | -- | Free | View in iTunes |

132 | 4_III_b_Annihilator Method Examples I | -- | 11:43 | Free | View in iTunes |

133 | 4_III_b_Annihilator Method Examples I | -- | -- | Free | View in iTunes |

134 | 4_III_b_Annihilator Method Examples II | -- | 15:25 | Free | View in iTunes |

135 | 4_III_b_Annihilator Method Examples II | -- | -- | Free | View in iTunes |

136 | 4_III_b_Annihilator Method Examples III | -- | 19:45 | Free | View in iTunes |

137 | 4_III_b_Annihilator Method Examples III | -- | -- | Free | View in iTunes |

138 | 4_III_c_Undetermined Coefficients Method w Technology Examples I | -- | 25:41 | Free | View in iTunes |

139 | 4_III_c_Undetermined Coefficients Method w Technology Examples I | -- | -- | Free | View in iTunes |

140 | 4_III_c_Undetermined Coefficients Method w Technology Examples II | -- | 20:16 | Free | View in iTunes |

141 | 4_III_c_Undetermined Coefficients Method w Technology Examples II | -- | -- | Free | View in iTunes |

142 | 4_IV_a_Higher Order Cauchy Euler ODE Examples | -- | 9:49 | Free | View in iTunes |

143 | 4_IV_a_Higher Order Cauchy Euler ODE Examples | -- | -- | Free | View in iTunes |

144 | 4_IV_b_Variation of Parameters method Examples I | -- | 14:59 | Free | View in iTunes |

145 | 4_IV_b_Variation of Parameters Method Examples I | -- | -- | Free | View in iTunes |

146 | 5_I_a_Introduction to Laplace Transform Definition | -- | 25:02 | Free | View in iTunes |

147 | 5_I_a_Introduction to Laplace Transformation Definition | -- | -- | Free | View in iTunes |

148 | 5_I_b_Introduction to Laplace Transform Properties and More Formulas | -- | 16:17 | Free | View in iTunes |

149 | 5_I_b_Introduction to Laplace Transform Properties and More formulas | -- | -- | Free | View in iTunes |

150 | 5_I_c_Finding Laplace Transform Examples I | -- | 18:44 | Free | View in iTunes |

151 | 5_I_c_Finding Laplace Transform Examples I | -- | -- | Free | View in iTunes |

152 | 5_I_c_Finding Laplace Transform Examples II | -- | -- | Free | View in iTunes |

153 | 5_I_c_Finding Laplace Transform Examples II | -- | 10:01 | Free | View in iTunes |

154 | 5_II_a_Laplace Transform on piece-wise functions Examples | -- | 10:51 | Free | View in iTunes |

155 | 5_II_a_Laplace Transformation on piece-wise functions | -- | -- | Free | View in iTunes |

156 | 5_II_a_Laplace Transform on piece-wise functions Examples II | -- | 13:01 | Free | View in iTunes |

157 | 5_II_a_Laplace Transform on piece-wise functions Examples II | -- | -- | Free | View in iTunes |

158 | 5_II_b_Laplace Transform on derivatives Examples | -- | 16:49 | Free | View in iTunes |

159 | 5_II_b_Laplace Transformation on derivations Examples | -- | -- | Free | View in iTunes |

160 | 5_II_c_Laplace Transform on Convolution Theorem | -- | 12:02 | Free | View in iTunes |

161 | 5_II_c_Laplace Transform on Convolution Theorem | -- | -- | Free | View in iTunes |

162 | 5_III_a_Inverse Laplace Transform Partial Fractions | -- | 23:11 | Free | View in iTunes |

163 | 5_III_a_Inverse Laplace Transform Partial Fractions | -- | -- | Free | View in iTunes |

164 | 5_III_b_Finding Inverse Laplace Transform Examples I | -- | 16:29 | Free | View in iTunes |

165 | 5_III_b_Finding Inverse Laplace Transform Examples I | -- | -- | Free | View in iTunes |

166 | 5_III_b_Finding Inverse Laplace Transform Examples II | -- | 10:36 | Free | View in iTunes |

167 | 5_III_b_Finding Inverse Laplace Transform Examples II | -- | -- | Free | View in iTunes |

168 | 5_IV_a_Solve IVP Examples I | -- | 28:57 | Free | View in iTunes |

169 | 5_IV_a_Solve IVP Examples I | -- | -- | Free | View in iTunes |

170 | 5_IV_a_Solve IVP Examples II | -- | 13:09 | Free | View in iTunes |

171 | 5_IV_a_Solve IVP Examples II | -- | -- | Free | View in iTunes |

172 | 5_IV_a_Solve IVP Exampes III | -- | -- | Free | View in iTunes |

173 | 5_IV_a_Solve IVP Examples III | -- | 24:30 | Free | View in iTunes |

174 | 5_IV_b_Solve IVP w Convolution Theorem Examples I | -- | 13:19 | Free | View in iTunes |

175 | 5_IV_b_Solve IVP w Convolution Theorem Examples I | -- | -- | Free | View in iTunes |

176 | 5_IV_b_Solve IVP w Convolution Theorem Examples II | -- | 9:17 | Free | View in iTunes |

177 | 5_IV_b_Solve IVP w Convolution Theorem Examples II | -- | -- | Free | View in iTunes |

178 | 5_V_a_Laplace Transform of Discontinuous Functions Examples I | -- | 24:24 | Free | View in iTunes |

179 | 5_V_a_Laplace Transform of Discontinuous Functions Examples I | -- | -- | Free | View in iTunes |

180 | 5_V_a_Laplace Transform of Discontinuous Functions Examples II | -- | 19:52 | Free | View in iTunes |

181 | 5_V_a_Laplace Transform of Discontinuous Functions Examples II | -- | -- | Free | View in iTunes |

182 | 5_V_a_Laplace Transform of Periodic Functions Examples III | -- | 8:15 | Free | View in iTunes |

183 | 5_V_a_Laplace Transform of Periodic Functions Examples III | -- | -- | Free | View in iTunes |

184 | 5_V_b_Inverse Laplace Transform of Discontinuous Functions Examples I | -- | 13:30 | Free | View in iTunes |

185 | 5_V_b_Inverse Laplace Transform of Periodic Functions Examples II | -- | 7:32 | Free | View in iTunes |

186 | 5_V_b_Inverse Laplace Transform of Discontinuous Functions Examples I | -- | -- | Free | View in iTunes |

187 | 5_V_b_Inverse Laplace Transform of Periodic Functions Examples II | -- | -- | Free | View in iTunes |

188 | 5_V_c_Solving IVP Examples I | -- | 14:26 | Free | View in iTunes |

189 | 5_V_c_Solving IVP Examples I | -- | -- | Free | View in iTunes |

190 | 5_V_c_Solving IVP Examples II | -- | 23:47 | Free | View in iTunes |

191 | 5_V_c_Solving IVP Exampes II | -- | -- | Free | View in iTunes |

192 | 5_VI_a_Solve System of Diff Equations Examples I | -- | 10:19 | Free | View in iTunes |

193 | 5_VI_a_Solve System of Diff Equations Examples I | -- | -- | Free | View in iTunes |

194 | 5_VI_a_Solve System of Diff Equations Examples II | -- | -- | Free | View in iTunes |

195 | 5_VI_a_Solve System of Diff Equations Examples II | -- | 15:03 | Free | View in iTunes |

196 | 5_VI_a_Solve System of Diff Equations Examples III | -- | 9:50 | Free | View in iTunes |

197 | 5_VI_a_Solve Systems of Diff Equations Examples III | -- | -- | Free | View in iTunes |

198 | 6_I_a_Introduction to Taylor Polynomial Definition | -- | -- | Free | View in iTunes |

199 | 6_I_a_Introduction to Taylor Polynomial Definition | -- | 20:11 | Free | View in iTunes |

200 | 6_I_b_Taylor Polynomial Examples I | -- | -- | Free | View in iTunes |

201 | 6_I_b_Taylor Polynomial Examples I | -- | 7:44 | Free | View in iTunes |

202 | 6_I_b_Taylor Polynomial Examples II | -- | -- | Free | View in iTunes |

203 | 6_I_b_Taylor Polynomial Examples II | -- | 8:28 | Free | View in iTunes |

204 | 6_II_b_Series Notatiion Examples I | -- | 11:04 | Free | View in iTunes |

205 | 6_II_b_Series Notation Examples I | -- | -- | Free | View in iTunes |

206 | 6_II_c_Series Solutions About Ordinary Points Examples I | -- | 12:13 | Free | View in iTunes |

207 | 6_II_c_Series Solutions About Ordinary Points Examples I | -- | -- | Free | View in iTunes |

208 | 6_II_c_Series Solutions About Ordinary Points Examples II | -- | 19:44 | Free | View in iTunes |

209 | 6_II_c_Series Solutions About Ordinary Points Examples II | -- | -- | Free | View in iTunes |

210 | 6_II_c_Series Solutions About Ordinary Points Examples III | -- | 15:36 | Free | View in iTunes |

211 | 6_II_c_Series Solutions About Ordinary Points Examples III | -- | -- | Free | View in iTunes |

212 | 6_III_a_Regular and Irregular Singular Points Examples I | -- | 14:52 | Free | View in iTunes |

213 | 6_III_a_Regular and Irregular Singular Points Examples I | -- | -- | Free | View in iTunes |

214 | 6_III_b_Series Solutions Indicial Roots Not Integers Examples I | -- | 12:57 | Free | View in iTunes |

215 | 6_III_b_Series Solutions Indicial Roots not Integers Examples I | -- | -- | Free | View in iTunes |

216 | 6_III_b_Series Solutions Indicial Roots Not Integers Examples II | -- | 24:47 | Free | View in iTunes |

217 | 6_III_b_Series Solutions Indicial Roots not Integers Examples II | -- | -- | Free | View in iTunes |

218 | 6_III_c_Series Solutions Indicial Roots are Integers Examples I | -- | 30:25 | Free | View in iTunes |

219 | 6_III_c_Series Solutions Indicial Roots are Integers Examples I | -- | -- | Free | View in iTunes |

220 | 6_III_d_Series Solutions Equal Indicial Roots Examples I | -- | 31:33 | Free | View in iTunes |

221 | 6_III_d_Series Solutions Equal Indicial Roots Examples I | -- | -- | Free | View in iTunes |

222 | 6_III_d_Series Solutions Equal Indicial Roots Examples II | -- | 10:42 | Free | View in iTunes |

223 | 6_III_d_Series Solutions Equal Indicial Roots Examples II | -- | -- | Free | View in iTunes |

224 | 7_I_a_Eigenvalues and Eigenvectors of a Matrix Examples I | -- | 12:29 | Free | View in iTunes |

225 | 7_I_a_Eigenvalues and Eigenvectors of a Matrix Examples I | -- | -- | Free | View in iTunes |

226 | 7_I_a_Eigenvalues and Eigenvectors of a Matrix Examples II | -- | 21:37 | Free | View in iTunes |

227 | 7_I_a_Eigenvalues and Eigenvectors of a matrix Examples II | -- | -- | Free | View in iTunes |

228 | 7_I_b_Complex Eigenvalues and Eigenvectors of a Matrix Examples I | -- | 20:26 | Free | View in iTunes |

229 | 7_I_b_Complex Eigenvalues and Eigenvectors of a matrix Examples I | -- | -- | Free | View in iTunes |

230 | 7_I_b_Complex Eigenvalues and Eigenvectors of a Matrix Examples II | -- | 17:59 | Free | View in iTunes |

231 | 7_I_b_Complex Eigenvalues and Eigenvectors of a Matrix Examples II | -- | -- | Free | View in iTunes |

232 | 7_1_c_Repeated Eigenvalues and Eigenvectors of a Matrix Examples I | -- | 7:54 | Free | View in iTunes |

233 | 7_I_c_Repeated Eigenvalues and Eigenvectors of a Matrix Examples I | -- | -- | Free | View in iTunes |

234 | 7_II_a_Eigenvalues and Eigenvectors to solve Systems of ODE Examples I | -- | 11:27 | Free | View in iTunes |

235 | 7_II_a_Eigenvalues and Eigenvectors to Solve Systems of ODE Examples I | -- | -- | Free | View in iTunes |

236 | 7_II_a_Eigenvalues and Eigenvectors to Solve Systems of ODE Examples II | -- | 16:59 | Free | View in iTunes |

237 | 7_II_a_Eigenvalues and Eigenvectors to Solve Systems of ODE Examples II | -- | -- | Free | View in iTunes |

238 | 7_II_a_Eigenvalues and Eigenvectors to solve Systems of ODE Examples III | -- | 12:21 | Free | View in iTunes |

239 | 7_II_a_Eigenvalues and Eigenvectors to Solve Systems of ODE Examples III | -- | -- | Free | View in iTunes |

240 | 7_II_b_Repeated Eigenvalues to Solve Systems of ODE Examples I | -- | 13:46 | Free | View in iTunes |

241 | 7_II_b_Repeated Eigenvalues to Solve Systems of ODE Examples I | -- | -- | Free | View in iTunes |

242 | 7_II_c_Complex Eigenvalues to Solve Systems of ODE Examples II | -- | 14:52 | Free | View in iTunes |

243 | 7_II_c_Complex Eigenvalues to Solve Systems of ODE Examples II | -- | -- | Free | View in iTunes |

244 | 8_I_Improved Euler Method Examples I | -- | 33:37 | Free | View in iTunes |

245 | 8_I_Improved Euler Method Examples I | -- | -- | Free | View in iTunes |

246 | 8_II_Runge Kutta Method Examples I | -- | 12:46 | Free | View in iTunes |

247 | 8_II_Runge Kutta Method Examples I | -- | -- | Free | View in iTunes |

248 | 8_III_Comparison of Euler, Improved Euler, and Runge Kutta Methods Examples I | -- | 11:43 | Free | View in iTunes |

249 | 8_III_Comparison of Euler, Improved Euler, and Runge Kutta Methods Examples I | -- | -- | Free | View in iTunes |

250 | Practice Exercises for Chapters 1 & 2 | -- | -- | Free | View in iTunes |

251 | Practice Exercises for Chapters 2 & 3 | -- | -- | Free | View in iTunes |

252 | Practice Exercises for Chapter 4 | -- | -- | Free | View in iTunes |

253 | Practice Exercises for Chapter 5 | -- | -- | Free | View in iTunes |

254 | Practice Exercises for Chapter 6 | -- | -- | Free | View in iTunes |

255 | Practice Exercises for Chapter 7 | -- | -- | Free | View in iTunes |

256 | Self Assessment 1 Direction Field | -- | -- | Free | View in iTunes |

257 | Microsoft Word - Self Assessment 1 Direction Field.DOC | -- | -- | Free | View in iTunes |

258 | Microsoft Word - Self Assessment 1 Direction Field.DOC | -- | -- | Free | View in iTunes |

259 | Self Assessment 2 Euler Method | -- | -- | Free | View in iTunes |

260 | Self Assessment 3 Solving ODE | -- | -- | Free | View in iTunes |

261 | Self Assessment 3 Solving ODE | -- | -- | Free | View in iTunes |

262 | Self Assessment 4 Applications | -- | -- | Free | View in iTunes |

263 | Self Assessment 4 Applications | -- | -- | Free | View in iTunes |

264 | Self Assessment 5 ODE w constant coeff | -- | -- | Free | View in iTunes |

265 | Self Assessment 6 Variation of Parameter | -- | -- | Free | View in iTunes |

266 | Self Assessment 6 Variation of Parameter | -- | -- | Free | View in iTunes |

267 | Self Assessment 7Mech Vibrations | -- | -- | Free | View in iTunes |

268 | Self Assessment 8 Elimination | -- | -- | Free | View in iTunes |

269 | Self Assessment 9 Higher Order ODE | -- | -- | Free | View in iTunes |

270 | Self Assessment 10 Laplace transformation | -- | -- | Free | View in iTunes |

271 | Self Assessment 11 Inverse Laplace transformation | -- | -- | Free | View in iTunes |

272 | Self Assessment 12 Series Method | -- | -- | Free | View in iTunes |

273 | Self Assessment 13 Euler_Runge_Kutta | -- | -- | Free | View in iTunes |

274 | Self Assessment 1 Solutions Direction Field | -- | -- | Free | View in iTunes |

275 | Self Assessment 2 Solutions Euler Method | -- | -- | Free | View in iTunes |

276 | Self Assessment 3 Solutions Solving ODE | -- | -- | Free | View in iTunes |

277 | Self Assessment 4 Solutions Applications | -- | -- | Free | View in iTunes |

278 | Self Assessment 5 Solutions ODE w Constant Coeff | -- | -- | Free | View in iTunes |

279 | Self Assessment 6 Solutions Variation of Parameter | -- | -- | Free | View in iTunes |

280 | Self Assessment 7 Solutions Mech Vibrations | -- | -- | Free | View in iTunes |

281 | Self Assessment 8 Solutions Elimination | -- | -- | Free | View in iTunes |

282 | Self Assessment 9 Solutions Higher Order ODE | -- | -- | Free | View in iTunes |

283 | Self Assessment 10 Solutions Laplace Transformation | -- | -- | Free | View in iTunes |

284 | Self Assessment 11 Solutions Inverse Laplace Transformation | -- | -- | Free | View in iTunes |

285 | Self Assessment 12 Solutions Series Method | -- | -- | Free | View in iTunes |

286 | Self Assessment 12 Solutions Series Method | -- | -- | Free | View in iTunes |

287 | Self Assessment 13 Solutions Euler_Runge_Kutta | -- | -- | Free | View in iTunes |

287 Items |

#### Customer Reviews

##### Useful

Very useful. But OMG that voice is sooo annoying!!!

##### Terrible

Blasts through too much material in the beginning with poor explanations. And yes, the voice became too much to bear.

##### Gg2

Very detail explanation, the example very helpful . I take same course and all of the pod cast help a lot . Thank so much.

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