Table of Contents:

Chapter 1: Algebra Review

Introduction to Algebra Review

Section 1.1 Functions

Section 1.2 Operations on Functions

Section 1.3 Linear Functions

Section 1.4 Exponents

Section 1.5 Quadratics

Section 1.6 Polynomials and Rational Functions

Section 1.7 Exponential Functions

Section 1.8: Logarithmic Functions

Chapter 1 Review Exercises

Chapter 1 Review Problems

Chapter 2: Limits and The Derivative

Introduction to Limits

Section 2.1: Limits and Continuity

Introduction to the Derivative

Section 2.2: The Derivative

Section 2.3: The Power and Sum Rules for Derivatives

Section 2.4: Product and Quotient Rules

Section 2.5: Chain Rule

Section 2.6: Second Derivative and Concavity

Chapter 2 Review Exercises: Limits

Chapter 2 Review Exercises: The Derivative

Chapter 2 Review Problems

Chapter 3: Applications of the Derivative

Introduction to Applications of the Derivative

Section 3.1: Optimization

Section 3.2: Curve Sketching

Section 3.3: Applied Optimization

Section 3.4: Other Applications

Section 3.5: Implicit Differentiation and Related Rates

Chapter 3 Review Exercises

Chapter 3 Review Problems

Chapter 3 Solutions to Review Problems

Chapter 4: The Integral

Introduction to the Integral

Section 4.1: The Definite Integral

Section 4.2: The Fundamental Theorem and Antidifferentiation

Section 4.3: Antiderivatives of Formulas

Section 4.4: Substitution

Section 4.5: Average Value and the Net Change Theorem

Section 4.6: Applications to Business

Chapter 4 Review Exercises

Chapter 4 Review Problems

This textbook was created through Connecting the Pipeline: Libraries, OER, and Dual Enrollment from Secondary to Postsecondary, a $1.3 million project funded by LOUIS: The Louisiana Library Network and the Institute of Library and Museum Services. This project supports the extension of access to high-quality post-secondary opportunities to high school students across Louisiana and beyond by creating materials that can be adopted for dual enrollment environments. Dual enrollment is the opportunity for a student to be enrolled in high school and college at the same time.

The cohort-developed OER course materials are released under a license that permits their free use, reuse, modification and sharing with others. This includes a corresponding course available in Moodle and Canvas that can be imported to other platforms.

- Subject:
- Algebra
- Mathematics
- Material Type:
- Textbook
- Provider:
- LOUIS: The Louisiana Library Network
- Provider Set:
- Connecting the Pipeline Grant
- Author:
- Bimal Kunwor
- Jared Eusea
- Karen Perilloux
- Date Added:
- 05/23/2024