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Precalculus: Mathematics for Calculus (8e)

Stewart/Redlin/Watson's best-selling college precalculus textbook covering fundamentals, functions, polynomial/rational/exponential/logarithmic functions, trigonometry (split into Unit Circle and Right Triangle approaches), analytic trigonometry, polar/parametric/vectors, systems of equations, conic sections, sequences and series, and a preview of calculus (limits). 12 chapters; emphasis on calculus preparation. The 8e maintains the dual unit-circle / right-triangle trig approach unique to Stewart.

12 chapters 433 lessons Guided notes for every video
Chapters

Pick a chapter to dive into

Chapter 1

Fundamentals

Algebra fundamentals: real numbers, exponents, algebraic expressions, equations, inequalities, coordinate plane.

10 sections
Chapter 2

Functions

Functions, graphs, transformations, and inverse functions.

7 sections
Chapter 3

Polynomial and Rational Functions

Polynomial and rational functions and their applications.

7 sections
Chapter 4

Exponential and Logarithmic Functions

Exponential and logarithmic functions; equations; modeling.

6 sections
Chapter 5

Trigonometric Functions: Unit Circle Approach

Trigonometric functions defined via the unit circle; graphs of trig functions; harmonic motion.

5 sections
Chapter 6

Trigonometric Functions: Right Triangle Approach

Trigonometry from the right triangle perspective; angles; laws of sines and cosines.

6 sections
Chapter 7

Analytic Trigonometry

Trigonometric identities and equations.

5 sections
Chapter 8

Polar Coordinates, Parametric Equations, and Vectors

Polar coordinates and graphs; complex numbers in polar form; parametric equations; vectors.

4 sections
Chapter 9

Systems of Equations and Inequalities

Systems of linear and nonlinear equations; matrices; determinants; partial fractions; inequalities.

7 sections
Chapter 10

Conic Sections

Parabolas, ellipses, hyperbolas, and shifted conics.

4 sections
Chapter 11

Sequences and Series

Sequences and summation; arithmetic and geometric sequences; mathematical induction; binomial theorem.

4 sections
Chapter 12

Limits: A Preview of Calculus

A precalc-level introduction to limits, derivatives, and area. Cross-listed from M2231 (Calc 1).

5 sections