Math 141: Precalculus I (old edition)

This text prepares students for the calculus sequence. Real-valued functions, including techniques for graphing polynomial, rational, piecewise, exponential, and logarithmic functions. The text also includes circles, basic function properties, nonlinear inequalities, and complex numbers.

Mathematics

Nhà xuất bản: LibreTexts
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 57 mục

01: Academic Success Skills
1.00: The Power to Learn
1.01: It's All in the Mindset
1.02: Failure Is Not an Option
1.03: Active Learning from Lectures
1.04: Active Learning from Reading
1.05: Taking Notes
1.06: How to Manage Time
1.07: Enhanced Strategies for Time and Task Management
1.08: Goal Setting and Motivation
1.09: Test Taking and Preparation
1.10: Pre- Mid- and Post-Test-Taking Strategies
1.11: Test-Taking Strategy Specifics
02: Inequalities and Functions
2.00: Prelude to Inequalities and Functions
2.01: Equations and Inequalities
2.1.00: Extracting Square Roots and Completing the Square (Review)
2.1.01: Solving Equations Quadratic in Form (Review)
2.1.02: Quadratic Functions and Their Graphs (Review)
2.1.03: Solving Quadratic Inequalities
2.1.04: Solving Polynomial and Rational Inequalities
2.1.E: Solving Equations and Inequalities (Exercises)
2.02: Functions and Function Notation
2.03: Domain and Range
2.04: Rates of Change and Behavior of Graphs
2.05: Transformation of Functions
2.06: Composition of Functions
2.07: Absolute Value Functions
2.08: Inverse Functions
2.E: Functions (Exercises)
2.R: Functions (Review)
03: Polynomial and Rational Functions
3.00: Prelude to Polynomial and Rational Functions
3.01: Complex Numbers Review
3.02: Quadratic Functions Review
3.03: Power Functions and Polynomial Functions Behavior
3.04: Graphs of Polynomial Functions
3.05: Dividing Polynomials
3.06: Zeros of Polynomial Functions
3.07: Rational Functions
3.08: Inverses and Radical Functions
3.09: Modeling Using Variation (optional)
3.E: Polynomial and Rational Functions(Exercises)
3.R: Polynomial and Rational Functions(Review)
04: Exponential and Logarithmic Functions
4.00: Prelude to Exponential and Logarithmic Functions
4.01: Exponential Functions
4.02: Graphs of Exponential Functions
4.03: Logarithmic Functions
4.04: Graphs of Logarithmic Functions
4.05: Logarithmic Properties
4.06: Exponential and Logarithmic Equations
4.07: Exponential and Logarithmic Models
4.08: Fitting Exponential Models to Data
4.09: Trigonometry Preview - Circles
4.E: Exponential and Logarithmic Functions (Exercises)
4.R: Exponential and Logarithmic Functions (Review)