Precalculus / Edition 3by Margaret L. Lial
Precalculus, Fifth Edition, by Lial, Hornsby, Schneider, and Daniels, engages and supports students in the learning process by developing both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Fifth Edition, the authors adapt to the new ways in which students are learning, as well as the ever-changing/b>/b>… See more details below
Precalculus, Fifth Edition, by Lial, Hornsby, Schneider, and Daniels, engages and supports students in the learning process by developing both the conceptual understanding and the analytical skills necessary for success in mathematics. With the Fifth Edition, the authors adapt to the new ways in which students are learning, as well as the ever-changing classroom environment.
Table of Contents1. Algebraic Expressions.
Real Numbers and Their Properties.
Order and Absolute Value.
Polynomials; The Binomial Theorem.
2. Equations and Inequalities.
Linear Applications and Modeling.
Quadratic Applications and Modeling.
Other Types of Equations.
Absolute Value Equations and Inequalities.
3. Relations, Functions, and Graphs.
Relations and the Rectangular Coordinate System; Circles.
Equations of Lines; Curve Fitting.
Graphs of Relations and Functions.
General Graphing Techniques.
Operations and Composition.
4. Polynomial and Rational Functions.
Quadratic Functions; Curve Fitting.
Zeros of Polynomial Functions.
Polynomial Functions: Graphs, Applications, and Models.
Rational Functions: Graphs, Applications, and Models.
5. Exponential and Logarithmic Functions.
Evaluating Logarithms and the Change-of-Base Theorem.
Exponential and Logarithmic Equations.
Applications and Models of Exponential Growth and Decay.
6. Trigonometric Functions.
Trigonometric Functions and Fundamental Identities.
Finding Trigonometric Function Values.
Solving Right Triangles.
Circular Functions and Their Applications.
Graphs of the Sine and Cosine Functions.
Graphs of the Other Circular Functions.
7 Trigonometric Identities and Equations.
Verifying Trigonometric Identities.
Sum and Difference Identities.
Double-Angle Identities and Half-Angle Identities.
Inverse Trigonometric Functions.
Equations with Inverse Trigonometric Functions.
8. Applications of Trigonometry.
Oblique Triangles and the Law of Sines.
The Law of Cosines.
Vectors and Their Applications.
Products and Quotients of Complex Numbers.
Powers and Roots of Complex Numbers.
9. Systems of Equations and Inequalities.
Linear Systems of Equations.
Matrix Solution of Linear Systems.
Determinant Solution of Linear Systems.
Systems of Inequalities and Linear Programming.
Properties of Matrices.
10. Analytic Geometry.
Summary of the Conic Sections.
11. Further Topics in Algebra.
Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem Revisited.
Basics of Probability.
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