Mathematics > eBook-PDF > OnRamps- FURTHER ALGEBRA – A BRIDGE TO ABSTRACTION A COLLEGE ALGEBRA COURSE CONTAINING ALGEBRA II (All)

OnRamps- FURTHER ALGEBRA – A BRIDGE TO ABSTRACTION A COLLEGE ALGEBRA COURSE CONTAINING ALGEBRA II 2021-2022. Entire Text. PlusQuestions and Worked Solutions.

Document Content and Description Below

OnRamps- FURTHER ALGEBRA – A BRIDGE TO ABSTRACTION A COLLEGE ALGEBRA COURSE CONTAINING ALGEBRA II 2021-2022. Entire Text. PlusQuestions and Worked Solutions. 1 Essential Prerequisites 1 1.1 Prerequ ... isites . 1 1.2 Thinking Like a Mathematician . . 7 1.3 Prerequisite Topics Review . . 7 2 Functions 13 2.1 Functions 13 2.2 Linear and Absolute Value Functions . 18 2.3 Composition of Functions . . 28 2.4 A Function Recursive Process 30 2.5 Function Transformations . . 31 2.6 Inverse of a Function . . 35 3 Systems 41 3.1 Systems of Equations . . 41 3.2 Systems Applications . . 46 3.3 Systems with Three Unknowns . . 47 3.4 Systems of Inequalities . 50 4 Matrices 55 4.1 Matrices and Matrix Operations . 55 4.2 Determinants and Gaussian Elimination . . 63 iii 4.3 Matrix Applications 72 5 Quadratic Functions 79 5.1 Factoring Quadratic Expressions . 79 5.2 A Development of the Quadratic Function . 84 5.3 Transformations of the Quadratic 89 5.4 Applications of the Quadratic Function 94 6 Complex Numbers 99 6.1 The Imaginary Number 99 6.2 The Geometry of Complex Numbers . . 99 6.3 Complex Number Operations 101 6.4 Complex Numbers and the Quadratic . 104 7 Polynomial Functions 105 7.1 Factoring Polynomials of Degree 3 105 7.2 Polynomial and Power Functions . 106 7.3 Division and Rational Zeros . 112 7.4 Applications . 120 8 Modeling and Data Analysis 123 8.1 Direct and Inverse Variation . 123 8.2 Piecewise Functions . . 127 8.3 Regression and Function Fitting . 129 8.4 Applications and Regression Modeling 131 iv 9 Rational and Radical Functions 135 9.1 Rational Expressions and Rational Functions 135 9.2 Applications of Rational Functions 147 9.3 Radical Expressions, Equations, and Functions (With Applications) . . 147 9.4 Advanced Literal Equations . 156 10 Exponents, Logs, and e 159 10.1 e . . 159 10.2 Exponential and Logarithmic Properties and Functions 160 10.3 Scientific Notation 174 10.4 Fermi Questions (and Orders of Magnitude) 175 10.5 Applications of Exponents and Logarithms . 177 10.6 Function Patterns . 182 11 Sequences and Series 187 11.1 Arithmetic and Geometric Sequences . 187 11.2 Defining a Series . 191 11.3 Probability [Show More]

Last updated: 2 years ago

Preview 1 out of 206 pages

Buy Now

Instant download

We Accept: