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Algebra Essentials
Welcome to algebra essentials course !!!!!!
Intro (1:05)
Algebra Review
Scientific Notation (17:55)
Compound Fractions (18:19)
Rationalizing denominators and numerator (23:54)
Properties of exponents (38:30)
Factoring and foiling polynomials (39:56)
Complex numbers (49:18)
Quiz
Equations and Inequalities
Linear equations in two variables (41:32)
Systems of linear equations and applications (31:23)
Linear Equations and applications (38:29)
Word problems involving linear equations (44:56)
Linear inequalities (23:18)
Absolute value in equations and inequalities (35:52)
Quiz
Functions and their graphs
What is a function? (22:19)
One to one function and inverses (25:23)
How to graph a quadratic function (55:52)
Test-point method for solving quadratic(polynomial), and rational inequality (26:19)
Finding: domain, range, and increasing, decreasing, constant on a interval (41:03)
Families of functions,transformation, and symmetry (62:52)
Composition and Combination (16:55)
Polynomial and rational functions
How to find a polynomial equation when given imaginary root (12:27)
How to graph a polynomial (41:39)
Graphing rational functions- oblique asymptote and hole in graph (55:48)
Graphing rational functions- (top heavy and bottom heavy) (31:42)
Exponential and Logarithmic functions
Logarithmic functions (55:10)
Exponential functions (38:49)
More on logarithm and exponetial (38:43)
How to find an equation of an exponential function, when given the graph of an exponential function (8:27)
Quiz
Quiz
Commom log problems (lecture) (40:23)
Systems of equations and inequalities
Systems of linear equations in two variables (27:28)
Systems of linear equations in three variables ex) 1 (33:11)
Graphing inequalities an systems of inequalities in two variables (47:10)
Cramer's Rule (27:45)
Matrices and determinants
Operations with matrices (41:07)
Multiplication of matrices (30:07)
Inverses of Matrices (39:16)
Sequences, series, and probability
Intro to sequences (geometric & arithmetic) (39:08)
Summation of arithmetic and geometric sequences. (26:36)
College Algebra Practice Exams
College algebra practice exam on Ch.1 (58:44)
Part 2 of ch.1 college algebra practice exam (29:09)
Part 3 of ch.1 college algebra practice exam (18:15)
Part 4 of ch.1 college algebra practice exam (20:44)
Part 5 of ch.1 college algebra practice exam (17:37)
Ch.2 Practice Exam College Algebra (81:10)
Ch.3 Practice Test Part 1 (86:05)
Finding: domain, range, and increasing, decreasing, constant on a interval
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