What are you going to learn?
Content
Plot points and equations and interpret information using the rectangular coordinate system. (This would include finding equations of lines, parallel lines, and perpendicular lines). Solve linear and rational equations in one variable.Use mathematical equations to model real-life problems. Perform operations with real and complex numbers. Solve quadratic equations by factoring, completing the square, and by the quadratic formula.Solve radical equations, equations with rational exponents, and equations involving absolute value. Use function notation and identify the domain and range. Solve systems of linear equations in two or three variables.Solve systems of inequalities and graph the solutions.
Chapter 1. Functions and its Graphs. Linear Functions
Rectangular Coordinate System
Relations and Functions
Linear Functions
Algebra of Functions
Systems of Equations with Two Variables
Applications
Systems of Equations with Three Variables
Elimination Using Matrices
Determinants. Cramer's Rule
Applications
Chapter 2. Systems of Linear Equations
Chapter 3. Inequalities
Introduction
Intersections, Unions, and Compound Inequalities
Applications
Chapter 4. Polynomials and Polynomial Functions
Introduction
Multiplication of Polynomials
Factoring Polynomials
Applications of Polynomial Equations
Chapter 5. Rational Expressions, Equations, and Functions
Introduction
Adding / Subtracting with Rational Expessions
Multiplying / Divideing Rational Expessions
Complex Rational Expressions
Rational Equations
Applications
Divison of Polynomials
Synthetic Division and the Remainder Theorem
Applications
Chapter 6. Exponents and Radicals
Radical Expessions and Functions
Rational Numbers as Exponents
Multiplying Radical Expressions
Multiplying Radical Expressions
Solving Radical Equations
Chapter 7. Quadratic Functions and Equations
Quadratic Equations
Equations Reducible to Quadratic
Quadratic Functions
Transformation of Quadratic Functions
Applications
Polynomial Inequalities and Rational Inequalities
Chapter 8. Exponential and Logarithmic Functions and Equations
Composite Functions and Inverse Functions
Exponential Functions
Logarithmic Functions
Common Logarithms and Natural Logarithms
Exponetial and Logarithmic Equations
Applications
Chapter 9. Conic Sections
The Circle and the Ellipse
The Hyperbola and Radical Functions
Polar Coordinates
Conics in Polar Coordinates
Nonlinear Systems of Equations
Second Degree Inequalities, Systems of Inequalities
Chapter 10. Sequences, Series, and the Binomial Theorem
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
The Binomial Theorem
Bibliography
Bittinger, M. L. et al. Intermediate Algebra-Concepts and Applications .10th Edition. Boston : Pearson, 2018.
Lial, M. et al. Beginning Algebra. 11th Edition. Singapore : Pearson Education South Asia, 2004
Lial, Hornsby, Schneider, Daniels; Beginning and Intermediate Algebra and College Algebra: a Corequisite Solution. 1st ed.; Pearson.
Webgraphy
https://openstax.org/subjects/mathCollege Algebra (2nd edition) by Jay Abramson (OpenStax.org).
