What are you going to learn?
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
Content
Chapter 1. Functions and its Graphs. Linear Functions
- Rectangular Coordinate System
- Relations and Functions
- Linear Functions
- Algebra of Functions
Chapter 2. Systems of Linear Equations
- Systems of Equations in Two Variables
- Applications
- Systems of Equations with Three Variables
- Elimination Using Matrices
- Determinants. Cramer’s Rule
- Applications
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 Expressions
- Multiplying / Divideing Rational Expressions
- Complex Rational Expressions
- Rational Equations
- Applications
- Divison of Polynomials
- Synthetic Division and the Remainder Theorem
- Applications
Chapter 6. Exponents and Radicals
- Radical Expressions 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.