## 2018-04-05

### Differential Equations by Ariel Cintron-Arias at ETSU

# playlist: click the video's upper-left icon

source: East Tennessee State University      2017年10月24日
MATH 2120 - Differential Equations
ETSU Online Programs - http://www.etsu.edu/online
Dr. Ariel Cintron-Arias ETSU Online Programs - http://www.etsu.edu/online
Many of the following lectures are based on material from the open-textbook "Notes on DiffyQ's" by J. Lebl. Free copies of this book can be downloaded from http://www.jirka.org/diffyqs/

7:53 MATH 2120 What is an O.D.E.?
13:44 MATH 2120 Introduction to Diffy Qs Part 1
10:29 MATH 2120 Introduction to Diffy Qs Part 2
17:38 MATH 2120 Derivatives of Invertible Functions
6:58 MATH 2120 Integration by Change of Variables
6:23 MATH 2120 Integration by Trigonometric Substitution
12:38 MATH 2120 Integration by Parts
16:51 MATH 2120 Trigonometric Integrals
5:47 MATH 2120 Partial Fractions
10 12:28 MATH 2120 Integrals as Solutions Part 1
11 5:19 MATH 2120 Integrals as Solutions Part 2
12 9:32 MATH 2120 Integrals as Solutions Part 3
13 12:46 MATH 2120 Slope Fields
14 10:29 MATH 2120 Existence and Uniqueness
15 11:59 MATH 2120 Separable Equations Part 1
16 7:48 MATH 2120 Separable Equations Part 2
17 7:32 MATH 2120 Separable Equations Part 3
18 33:34 MATH 2120 Separable Equations with Partial Fractions Part 1
19 16:24 MATH 2120 Separable Equations with Partial Fractions Part 2
20 17:25 MATH 2120 Integrating Factor Part 1
21 11:16 MATH 2120 Integrating Factor Part 2
22 14:31 MATH 2120 Integrating Factor Part 3
23 7:22 MATH 2120 Integrating Factor Part 4
24 15:10 MATH 2120 Substitution Part 1
25 13:32 MATH 2120 Substitution Part 2
26 14:58 MATH 2120 Substitution Part 3
27 16:37 MATH 2120 Substitution Part 4
28 17:34 MATH 2120 Substitution Part 5
29 11:33 MATH 2120 Autonomous Equations Part 1
30 12:08 MATH 2120 Autonomous Equations Part 2
31 14:07 MATH 2120 Autonomous Equations Part 3
32 13:44 MATH 2120 Autonomous Equations Part 4
33 13:09 MATH 2120 Exponential Mathematical Models Part 1
34 10:15 MATH 2120 Exponential Mathematical Models Part 2
35 12:51 MATH 2120 Logistic Mathematical Models Part 1
36 13:32 MATH 2120 Logistic Mathematical Models Part 2
37 11:02 MATH 2120 Cooling Law Part 1
38 17:53 MATH 2120 Cooling Law Part 2
39 16:47 MATH 2120 Mixing Problems Part 1
40 18:48 MATH 2120 Mixing Problems Part 2
41 11:32 MATH 2120 Elementary Mechanics Part 1
42 19:36 MATH 2120 Elementary Mechanics Part 2
43 14:18 MATH 2120 Elementary Mechanics Part 3
44 21:05 MATH 2120 Second Order Linear ODEs
45 11:06 MATH 2120 Linear Combinations Part 1
46 11:19 MATH 2120 Linear Combinations Part 2
47 13:46 MATH 2120 Hyperbolic Functions and 2nd Order ODE
48 10:40 MATH 2120 Determinants
49 15:13 MATH 2120 Wronskian and Second Order ODEs
50 20:05 MATH 2120 Constant Coefficient Second Order Linear ODEs Part 1
51 8:38 MATH 2120 Constant Coefficient Second Order Linear ODEs Part 2
52 8:51 MATH 2120 Constant Coefficient Second Order Linear ODEs Part 3
53 6:31 MATH 2120 Constant Coefficient Second Order Linear ODEs Part 4
54 21:46 MATH 2120 Higher Order Linear ODEs Part 1
55 11:03 MATH 2120 Higher Order Linear ODEs Part 2
56 6:09 MATH 2120 Higher Order Linear ODEs Part 3
57 14:38 MATH 2120 Mechanical Vibrations Part 1
58 14:24 MATH 2120 Mechanical Vibrations Part 2
59 13:47 MATH 2120 Mechanical Vibrations Part 3
60 7:05 MATH 2120 Nonhomogeneous Equations Part 1
61 9:17 MATH 2120 Nonhomogeneous Equations Part 2
62 13:46 MATH 2120 Nonhomogeneous Equations Part 3
63 16:11 MATH 2120 Nonhomogeneous Equations Part 4
64 19:25 MATH 2120 Nonhomogeneous Equations Part 5
65 5:44 MATH 2120 Nonhomogeneous Equations Part 6
66 14:17 MATH 2120 Nonhomogeneous Equations Part 7
67 13:30 MATH 2120 Variation of Parameters Part 1
68 14:23 MATH 2120 Variation of Parameters Part 2
69 13:32 MATH 2120 Example of Undetermined Coefficients Part 1
70 17:26 MATH 2120 Example of Undetermined Coefficients Part 2
71 10:56 MATH 2120 Review of Terminology for Spring-Mass System
72 15:43 MATH 2120 Free Undamped Motion Review
73 14:16 MATH 2120 Free Damped Motion Review
74 33:53 MATH 2120 Undamped Forced Motion
75 15:01 MATH 2120 Damped Forced Motion
76 4:40 MATH 2120 Forced Oscillations Exercise
77 43:54 MATH 2120 RLC Circuit Part 1
78 42:11 MATH 2120 RLC Circuit Part 2
79 8:19 MATH 2120 Laplace Transform Part 1
80 10:15 MATH 2120 Laplace Transform Part 2
81 12:26 MATH 2120 Laplace Transform Part 3
82 21:09 MATH 2120 Laplace Transform Part 4
83 7:33 MATH 2120 Laplace Transform Part 5
84 19:16 MATH 2120 Laplace Transform Part 6
85 12:20 MATH 2120 Laplace Transform Part 7
87 11:05 MATH 2120 Laplace Transforms of Derivatives and ODEs Part 1
88 14:20 MATH 2120 Laplace Transforms of Derivatives and ODEs Part 2
89 34:12 MATH 2120 Laplace Transforms of Derivatives and ODEs Part 3
90 5:34 MATH 2120 Laplace Transforms of Derivatives and ODEs Part 4
91 29:59 MATH 2120 Laplace Transforms of Derivatives and ODEs Part 5
92 12:31 MATH 2120 Laplace Transforms of Derivatives and ODEs Part 6
93 24:11 MATH 2120 Laplace Transforms of Derivatives and ODEs Part 7
94 7:22 MATH 2120 Matrix-Matrix Multiplication
95 12:53 MATH 2120 Example of Matrix Inverse Calculation
96 11:55 MATH 2120 Linear Independence of Column Vectors
97 5:01 MATH 2120 Example of Eigenvalue Computation
98 12:58 MATH 2120 Eigenvalues of a Triangular Matrix
99 11:01 MATH 2120 Verification of Eigenvectors and Eigenvalues Part 1
100 18:52 MATH 2120 Verification of Eigenvectors and Eigenvalues Part 2
101 12:25 MATH 2120 Linear Systems of ODEs
102 27:14 MATH 2120 Eigenvalue Method Part 1
103 24:14 MATH 2120 Eigenvalue Method Part 2
104 MATH 2120 Eigenvalue Method Part 3
105 45:17 MATH 2120 Eigenvalue Method Part 4
106 20:48 MATH 2120 Homogeneous Linear System of ODEs
107 14:48 MATH 2120 Two Dimensional Systems Part 1
108 14:26 MATH 2120 Two Dimensional Systems Part 2
109 21:42 MATH 2120 Two Dimensional Systems Part 3
110 10:28 MATH 2120 Two Dimensional Systems Part 4
111 13:32 MATH 2120 Two Dimensional Systems Part 5
112 32:03 MATH 2120 Eigenvalues and Linear Systems of ODEs
113 9:23 MATH 2120 Higher Order ODEs and First Order Systems
114 18:33 MATH 2120 Undamped Mass-Spring Systems
115 18:59 MATH 2120 Free Damped Motion & First Order Systems
116 11:40 MATH 2120 Mixing in Two Compartments Part 1
117 9:41 MATH 2120 Mixing in Two Compartments Part 2