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