College Algebra by Dennis Allison at Utah Valley University

source: CosmoLearning         2017年8月1日
MATH1050: College Algebra by Dennis Allison at Utah Valley University
See full course at: https://cosmolearning.org/courses/col...

https://itunes.apple.com/us/podcast/math-1050-college-algebra-de/id439671745?mt=2

58:00 01) Review of Intermediate Algebra 
58:00 02. Cartesian Formulas and Circles 
58:00 03. Fundamental Graphs & Symmetry
58:00 04. Transformations and More
58:01 05. Models and Variations
58:01 06. Quadratic Functions
58:02 07. One to one and Inverse Functions
58:01 08. Study Guide for Exam 1 
58:01 09. Polynomial Functions
58:01 10. Polynomial Theorems
58:01 11. Finding the Roots of a Polynomial
58:01 12. Fundamental Theorem of Algebra 
58:01 13. Rational Functions
57:24 14. More Rational Functions
55:02 15. Study Guide for Exam 2
57:32 16. Exponential Functions
58:01 17. Applications of Logarithms
58:01 18. Laws of Logarithms and Log Graphs
58:01 19 Exponential and Logarithmic Equations
58:01 20 Applications of Exponential and Log Equations
58:01 21 Study Guide for Exam 3
58:07 22 Gaussian Elimination
58:04 23 The Gauss Jordan Method 
58:04 24 The Algebra of Matrices
58:02 25 Determinants
58:03 26 Systems of Inequalities
58:01 27 Study Guide for Exam 4
58:01 28 Parabolas
58:02 29 Ellipses
58:01 30 Hyperbolas
58:01 31 Sequences and Series
58:01 32 Arithmetic and Geometric Sequences and Series 
58:02 33 Annuities and Installment Buying
58:01 34 Study Guide for Exam 5
58:01 35 Mathematical Induction
58:06 36 The Binomial Theorem
58:07 37 Counting Principles
58:07 38 Probability
58:01 39 Study Guide for the Final Exam

Algebra (from CIRM)

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source: Centre International de Rencontres Mathématiques    2015年8月10日

Gennady Lyubeznik: Local cohomology modules of a smooth ℤ−algebra have a finite number [...] 56:53 Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities.
Let R be a commutative Noetherian ring that is a smooth ℤ−algebra. For each ideal a of R and integer k, we prove that the local cohomology module Hka(R) has finitely many associated prime ideals. This settles a crucial outstanding case of a conjecture of Lyubeznik asserting this finiteness for local cohomology modules of all regular rings.
Recording during the thematic meeting: "Commutative algebra and its interactions with algebraic geometry" the July 9, 2013 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent
Ivan Marin: Report on the BMR freeness conjecture 59:29
Michel Dubois-Violette: The Weil algebra of a Hopf algebra 49:53
Rafael Díaz: Deformations of N-differential graded algebras 30:57
Friedrich Wagemann: Deformation quantization of Leibniz algebras 44:08
Yinhuo Zhang: Braided autoequivalences, quantum commutative Galois objects and the Brauer groups 38:45
James Zhang: Nakayama automorphism and quantum group actions on Artin-Schelter regular algebras 44:55
Cornelia Drutu: Kazhdan projections 55:30
Camille Horbez: Growth under random products of automorphisms of a free group 57:27
François Le Maître: Full groups, cost, symmetric groups and IRSS 1:02:17
Ilya Kapovich: Endomorphisms, train track maps, and fully irreducible monodromies 1:06:19
Vincent Guirardel: Natural subgroups of automorphisms 55:21
Jason Behrstock: Random graphs and applications to Coxeter groups 58:23
Denis Osin: Invariant random subgroups of acylindrically hyperbolic groups 46:10
Enric Ventura: The degree of commutativity of an infinite group 49:23
Laura Ciobanu: Formal conjugacy growth and hyperbolicity 48:57
Mark Sapir: On subgroups of the R. Thompson group F 55:59
Entretien au CIRM : Jean-Pierre SERRE avec Jean-Louis COLLIOT-THELENE 55:12
Lou van den Dries: The ordered differential field of transseries 51:59
Jean-Philippe Rolin : Logarithmico-exponential series and fractal analysis 1:08:31
Hans Schoutens: O-minimalism: the first-order properties of o-minimality 32:11
Salma Kuhlmann: Real closed fields and models of Peano arithmetic 30:40
Jochen Koenigsmann : Galois codes for arithmetic and geometry via the power of valuation theory 1:01:10
Chris Bowman: Weighted Schur algebras or "Diagrammatic Cherednik algebras" over fields of ... 51:24
Petra Schwer: Studying affine Deligne Lusztig varieties via folded galleries in buildings 1:00:34
Giovanni Cerulli-Irelli : Quiver Grassmannians of Dynkin type 1:02:50
Martina Lanini: Parking spaces and Catalan combinatorics for complex reflection groups 1:09:04
Dmytro Shklyarov: Semi-infinite Hodge structures in noncommutative geometry 1:02:53

Algebra II (Core Course 2014) by K. N. Raghavan

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source: matsciencechannel        2014年2月12日

Algebra (2015) by Aviv Censor at Technion

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source: Technion    2015年11月23日
Algebra 1M - international
Course no. 104016
Dr. Aviv Censor
Technion - International school of engineering

01 - Introduction 9:13
02 - Sets of numbers 41:58
03 - Fields 32:01
04 - More properties of fields 18:53
05 - Complex numbers 47:34
06 - The Complex conjugate, the modulus and division 51:30
07 - Polar form 27:59
08 - Multiplication, division, powers and roots 39:26
09 - Polynomials 16:40
10 - Roots of polynomials 1:06:26
11 - Matrices 35:01
12 - Operations on matrices 21:49
13 - Matrix multiplication 21:48
14 - Properties of matrix multiplication 33:42
15 - Systems of linear equations 22:20
16 - Solving systems of linear equations 17:01
17 - The method of row-reduction 1:02:06
18 - Determining the number of solutions 47:38
19 - Homogeneous vs. non homogeneous systems 45:31
20 - The space R^n 29:12
21 - Vector spaces 46:18
22 - Vector subspaces 30:24
23 - More examples of subspaces 21:23
24 - Intersections and sums of subspaces 27:05
25 - Direct sums of subspaces 29:22
26 - Linear combinations and spans 35:20
27 - Determining if v belongs to a span 18:54
28 - Linear independence 20:14
29 - Determining linear independence 59:07
30 - Theorems about linear independence 39:56
31 - More on spans and linear independence 37:26
32 - Bases of vector spaces 20:18
33 - The dimension of a vector space 21:57
34 - Properties of bases 17:44
35 - Properties of bases (continued) 1:01:48
36 - Bases and dimensions of subspaces 52:16
37 - Coordinate vectors 34:15
38 - The dimension of Row(A) and Col(A) 44:47
39 - The rank-nullity theorem 32:41
40 - Invertible matrices 20:57
41 - Determining invertibility and finding the inverse 1:01:07
42 - Determinants 34:21
43 - Properties of determinants 31:33
44 - Invertibility and the determinant 21:08
45 - The matrix adj(A) 30:43
46 - Cramer's rule 13:12
47 - Which method is better? 7:02
48 - Linear maps 37:19
49 - Ker(T) and Im(T) 34:28
50 - Some geometric examples 26:48
51 - Properties of Ker(T) and Im(T) 40:07
52 - The rank of T 25:18
53 - The rank-nullity theorem revisited 37:12
54 - Matrix representation of linear maps 42:07
55 - Matrix representation of linear maps (continued) 1:00:27
56 - Operations on linear maps 58:21
57 - Compatability with operations on matrix representations 32:28
58 - Isomorphism 41:42
59 - Hom(V,W) 44:11
60 - Similarity of matrices 1:10:35
61 - Properties of similar matrices 22:29
62 - Diagonalization 25:32
63 - Diagonalization - a simple example 47:20
64 - Finding eigenvalues and eigenvectors 1:11:38
65 - An example 34:59
66 - Multiplicities of eigenvalues 33:11
67 - More on eigenvalues 1:13:41
68 - Powers of diagonalizable matrices 10:51
69 - The Cayley-Hamilton theorem 10:35
70 - Inner product 1:05:08
71 - Norm 30:24
72 - Inner product and norm give geometry 53:46
73 - Orthogonality 57:14

College Algebra (UMKC) by Richard Delaware

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source: UMKC     2009年5月4日
College Algebra Lectures with UMKC's Professor Richard Delaware, in association with UMKC's Video Based Supplemental Instruction Program.

Lecture 1 - Numbers This lecture discusses about set of objects,Natural numbers,Real numbers and how to find distance between two points. 1:19:35
Lecture 11 - Functions and Their Graphs 52:33
Lecture 13 - Functions & Their Graphs 41:59
Lecture 14 - Functions & Their Graphs 56:55
Lecture 16 - Equations in One Variable 1:15:08
Lecture 17 - Equations in One Variable 23:30
Lecture 18 - Equations in One Variable 1:03:45
Lecture 19 - Equations in One Variable 36:28
Lecture 2 - Language of mathematics 27:10
Lecture 20 54:09
Lecture 21 - Inequalities in One Variable 50:32
Lecture 22 - Inequalities in One Variable 45:18
Lecture 23 - Polynomial and Rational Functions 1:26:08
Lecture 24 - Polynomial and Rational Functions 1:05:26
Lecture 25 - Locating the Zeros of a Polynomial Function 1:30:40
Lecture 26 - Locating the Zeroes of a Polynomial Function 39:41
Lecture 27 - Rational Functions 1:29:11
Lecture 28 - Exponential Functions 58:16
Lecture 29 - Logarithmic Functions 54:03
Lecture 3 - The powers that be-Exponents 1:32:37
Lecture 30 - Logarithmic Functions 1:11:20
Lecture 31 - Exponential Functions 48:16
Lecture 32 - Systems of Linear Equations 1:19:17
Lecture 33 - Systems of Linear Equations 1:16:05
Lecture 34 - System of Non-Linear Equations 16:06
Lecture 35 - Sequences 57:36
Lecture 36 - Sequences 50:13
Lecture 37 - Series & Induction 58:57
Lecture 38 - The Binominal Theorem 1:04:27
lecture 4 P I 1:35:00
Lecture 4 P2 - Polynomial Expressions 1:26:38
Lecture 5 - More numbers and Geometry 40:43
Lecture 6 - Graphs 54:52
Lecture 7 - Graphs 1:14:16
Lecture 8 - Graphs 1:35:22
Lecture 9 - Functions and Their Graphs 1:24:54
Lecture 10 - Functions and Their Graphs 1:29:40
Lecture 12 - Functions & Their Graphs 1:50:55
Lecture 15 - Equations in One Variable 1:23:06
Lecture 39 1:27:13

College Algebra (Patti Blanton / Missouri State University)

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source: Missouri State University      Last updated on May 21, 2015
MTH 135: College Algebra
This course includes the study of linear and quadratic equations, inequalities and their applications, polynomial, rational, exponential, and logarithmic functions, and systems of equations.
Learn more about Missouri State iCourses at http://outreach.missouristate.edu/icourses.htm

Course Introduction 14:57
Lecture 1 - Basics of Graphing 46:05
Lecture 2 - Basics of Function 41:48
Lecture 3 - Linear Equations 38:12
Review 1 - Systems of Equations 48:10
Review 2 - Factoring Polynomials 51:12
Review 3 - Complex Number System 48:32
Lecture 4 - Piecewise-Defined Functions 39:48
Lecture 5 - Transformations I 45:23
Lecture 6 - Transformations II 50:22
Lecture 7 - Creating Mega-Functions with Arithmetic Operations of Functions 49:19
Lecture 8 - Creating Mega-Functions with Function Composition 47:05
Lecture 9 - Inverse Functions or In Reverse 40:45
Lecture 10 - Solving Linear and Rational Equations 42:19
Lecture 11 - Solving Quadratic Equations 46:43
Lecture 12 - Solving Equations with Advanced Factoring 45:26
Lecture 13 - Solving Radical Equations 30:54
Lecture 14 - Graphing and Applying Quadratic Equations 47:06
Lecture 15 - Graphing Polynomials 35:58
Lecture 16 - Graphing Rational Functions Part 1 48:59
Lecture 17 - Graphing Rational Functions Part 2 46:09
Lecture 18 - Solving Polynomial and Rational Inequalities 48:21
Lecture 19 - Absolute Values 32:48
Lecture 20 - Basics of Exponential Functions 38:27
Lecture 21 - Interesting Applications 45:51
Lecture 22 - Basic Logarithms 42:22
Lecture 23 - Log Properties 45:07
Lecture 24 - Solving Exponential Equations 42:59
Lecture 25 - Solving Equations with Logarithms 34:41
Lecture 26 - Exponential Growth Day 1 38:33
Lecture 27 - Exponential Growth Day 2 24:03
Lecture 28 - Basics of Sequences 46:04
Lecture 29 - Arithmetic Sequences and Series 47:43
Lecture 30 - Geometric Sequences and Series 48:19
Lecture 31 - Binomial Expansions 54:03
Lecture 33 - Linear Equations and Direct Variation  36:28
Lecture 34 - Inverse, Joint and Combined Variations 22:36
Lecture 35 - Non-Linear Systems 40:01
Lecture 36 - Basics of Modeling 37:08