University of West Indies

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  • Chapter Introduction
  • Learning Styles and Study Plans
  • Growth Mindset: Growth, Resilience, Hardiness, Grit
  • Reading and Cognitive Techniques
• 1 - Algebra I
  • Chapter Introduction
  • 1.1 - The Real Number System
  • 1.2 - Exponents, Roots, and Radicals
  • 1.3 - Polynomials and Factoring
  • 1.4 - Rational Expressions
  • 1.5 - Linear and Quadratic Equations
  • 1.6 - Linear Inequalities
  • 1.7 - Equations and Inequalities Involving Absolute Value
  • 1.8 - Other Types of Equations
• 2 - Algebra II
  • Chapter Introduction
  • 2.1 - Quadratic Functions and Their Graphs
  • 2.2 - Polynomial Functions and Their Graphs
  • 2.3 - Division of Polynomials; the Remainder and Factor Theorems
  • 2.4 - Real Zeros of Polynomials; Solutions of Equations
  • 2.5 - Complex Numbers
  • 2.6 - The Fundamental Theorem of Algebra; Complex Zeros
  • 2.7 - Rational Functions
  • 2.8 - Quadratic, Polynomial, and Rational Inequalities
• 3 - Coordinate Geometry
  • Chapter Introduction
  • 3.1 - The Coordinate System; Lines and Their Graphs
  • 3.2 - Coordinate Geometry, Circles, and Other Equations
• 4 - Functions
  • Chapter Introduction
  • 4.1 - Functions
  • 4.2 - Graphs of Functions
  • 4.3 - Analyzing the Graph of a Function
  • 4.4 - The Algebra of Functions
  • 4.5 - Transformations of the Graph of a Function
  • 4.6 - Linear Functions and Models; Variation
• 5 - Special Functions
  • Chapter Introduction
  • 5.1 - Inverse Functions
  • 5.2 - Exponential Function
  • 5.3 - Logarithmic Functions
  • 5.4 - Properties of Logarithms
  • 5.5 - Exponential and Logarithmic Equations
  • 5.6 - Exponential, Logistic, and Logarithmic Models
• 6 - Trigonometry
  • Chapter Introduction
  • 6.1 - Angles and Their Measure
  • 6.2 - Right Triangle Trigonometry
  • 6.3 - Trigonometric Functions of Any Angle Using Right Triangles
  • 6.4 - The Law of Sines
  • 6.5 - The Law of Cosines
  • 6.6 - Trigonometric Form of a Complex Number
  • 6.7 - Trigonometric Functions Using the Unit Circle
  • 6.8 - Graphs of the Sine and Cosine Functions
  • 6.9 - Graphs of Other Trigonometric Functions
  • 6.10 - Inverse Trigonometric Functions
• 7 - Vectors
  • Chapter Introduction
  • 7.1 - Vectors
  • 7.2 - Dot Product of Vectors
• 8 - Differentiation I
  • Chapter Introduction
  • 8.1 - The Derivative of a Function and Two Interpretations
  • 8.2 - Differentiating Products and Quotients
  • 8.3 - Higher Order Derivatives
  • 8.4 - The Chain Rule and General Power Rule
  • 8.5 - The First Derivative and the Behavior of Functions
  • 8.6 - The Second Derivative and the Behavior of Functions
• 9 - Integration I
  • Chapter Introduction
  • 9.1 - Antidifferentiation and the Indefinite Integral
  • 9.2 - The Definite Integral
  • 9.3 - The Definite Integral and Area
• 10 - Limits and Continuity
  • Chapter Introduction
  • 10.1 - Introduction to Limits
  • 10.2 - Functions and Continuity
• 11 - Sequence & Series
  • Chapter Introduction
  • 11.1 - More About Sequences
  • 11.2 - Series
  • 11.3 - Arithmetic Sequences
  • 11.4 - Geometric Sequences
  • 11.5 - The Binomial Expansion
• 12 - Differentiation II
  • Chapter Introduction
  • 12.1 - Implicit Differentiation
  • 12.2 - Differentiating the Natural Exponential Function
  • 12.3 - Differentiating the Natural Logarithm Function
• 13 - Partial Fractions
  • 13.1 - Partial Fractions
• 14 - Integration II
  • Chapter Introduction
  • 14.1 - Integration by Substitution
  • 14.2 - Improper Integrals
  • 14.3 - Integration by Parts
  • 14.4 - Area of Regions in the Plane
• 15 - Differential Equations
  • Chapter Introduction
  • 15.1 - Differential Equations
  • 15.2 - Applications of Differential Equations
• 16 - Matrices
  • Chapter Introduction
  • 16.1 - Systems of Linear Equations and Inequalities in Two Variables
  • 16.2 - Systems of Linear Equations in Three Variables
  • 16.3 - Solving Systems of Equations Using Matrices
  • 16.4 - Operations on Matrices
  • 16.5 - Matrices and Inverses
  • 16.6 - Determinants and Cramer's Rule