Robert Gardner's Online Precalculus 1 (Algebra)

Online Precalculus 1 (Algebra)
with online videos Dr. Bob's Online University
(Not an actual university)
Robert 'Dr. Bob' Gardner

This website includes links to class notes and supplements (in PDF) used in the teaching of East Tennessee State University's Precalculus 1 (MATH 1710). Links are also available for video presentations of the notes. The videos have been used as of the teaching of Precalculus 1, starting in fall 2021. The material is based closely on Michael Sullivan's Precalculus 10th Edition, (Pearson, 2016):

Sullivan's Precalculus book, 10th edition

Robert "Dr. Bob" Gardner can be reached by e-mail at: gardnerr@etsu.edu. His office is in Gilbreath Hall, Room 308F on the ETSU campus.

The following notes and supplements are all in PDF. The videos can be streamed from YouTube and should remain permanently available. (The videos previously on ETSU's Panopto host site have been, or may soon be, deleted.) There are also solutions to various exercises posted online (these are handwritten solutions in PDFs).

Appendix A. Review.

SECTION	NOTES	SUPPLEMENTS	VIDEOS ON YOUTUBE
A.1. Algebra Essentials	A.1 Notes	A.1 Supplement A.1 Supplement Print File	A.1 Video (1:10:20)
A.2. Geometry Essentials	A.2 Notes	A.2 Supplement A.2 Supplement Print File	A.2 Video (41:57)
A.3. Polynomials	A.3 Notes	A.3 Supplement A.3 Supplement Print File	A.3 Video (1:16:48)
A.4. Synthetic Division	-	-	-	-
A.5. Rational Expressions	A.5 Notes	A.5 Supplement A.5 Supplement Print File	A.5 Video (48:01)
A.6. Solving Equations	A.6 Notes	A.6 Supplement A.6 Supplement Print File	A.6 Video (1:15:36)
A.7. Complex Numbers; Quadratic Equations in the Complex Number System	A.7 Notes	A.7 Supplement A.7 Supplement Print File	A.7 Video (1:03:11)
A.8. Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications	-	-	-
A.9. Interval Notation; Solving Inequalities	A.9 Notes	A.9 Supplement A.9 Supplement Print File	A.9 Video (1:08:01)
A.10. nth Roots; Rational Exponents	A.10 Notes	A.10 Supplement A.10 Supplement Print File	A.10 Video (49:41)

Chapter 1. Graphs.

SECTION	NOTES	SUPPLEMENTS	VIDEOS ON YOUTUBE
1.1. The Distance and Midpoint Formulas	1.1 Notes	1.1 Supplement 1.1 Supplement Print File	1.1 Video (1:15:41)
1.2. Graphs of Equations in Two Variables; Intercepts; Symmetry	1.2 Notes	1.2 Supplement 1.2 Supplement Print File	1.2 Video (1:05:06)
1.3. Lines	1.3 Notes	1.3 Supplement 1.3 Supplement Print File	1.3 Video (1:41:36)
1.4. Circles	1.4 Notes	1.4 Supplement 1.4 Supplement Print File	1.4 Video (51:50)

Chapter 2. Functions and Their Graphs.

SECTION	NOTES	SUPPLEMENTS	VIDEOS ON YOUTUBE
2.1. Functions	2.1 Notes	2.1 Supplement 2.1 Supplement Print File	2.1 Video (1:20:50)
2.2. The Graph of a Function	2.2 Notes	2.2 Supplement 2.2 Supplement Print File	2.2 Video (51:01)
2.3. Properties of Functions	2.3 Notes	2.3 Supplement 2.3 Supplement Print File	2.3 Video (1:12:26)
2.4. Library of Functions; Piecewise-defined Functions	2.4 Notes	2.4 Supplement 2.4 Supplement Print File	2.4 Video (1:43:12)
2.5. Graphing Techniques: Transformations	2.5 Notes	2.5 Supplement 2.5 Supplement Print File	2.5 Video (1:25:55)
2.6. Mathematical Models: Building Functions	2.6 Notes	2.6 Supplement 2.6 Supplement Print File	2.6 Video (50:40)

Chapter 3. Linear and Quadratic Functions.

SECTION	NOTES	SUPPLEMENTS	VIDEOS ON YOUTUBE
3.1. Properties of Linear Functions and Linear Models	3.1 Notes	3.1 Supplement 3.1 Supplement Print File	3.1 Video (29:44)
3.2. Building Linear Models from Data	-	-	-
3.3. Quadratic Functions and Their Properties	3.3 Notes	3.3 Supplement 3.3 Supplement Print File	3.3 Video (1:08:29)
3.4. Build Quadratic Models from Verbal Descriptions and from Data	3.4 Notes	3.4 Supplement 3.4 Supplement Print File	3.4 Video (51:09)
3.5. Inequalities Involving Quadratic Functions	3.5 Notes	3.5 Supplement 3.5 Supplement Print File	3.5 Video (22:25)

Chapter 4. Polynomial and Rational Functions.

SECTION	NOTES	SUPPLEMENTS	VIDEOS ON YOUTUBE
4.1. Polynomial Functions and Models	4.1 Notes	4.1 Supplement 4.1 Supplement Print File	4.1 Video (1:46:03)
4.2. Properties of Rational Functions	4.2 Notes	4.2 Supplement 4.2 Supplement Print File	4.2 Video (1:03:47)
4.3. The Graph of a Rational Function	4.3 Notes	4.3 Supplement 4.3 Supplement Print File	4.3 Video (1:06:58)
4.4. Polynomial and Rational Inequalities	4.4 Notes	4.4 Supplement 4.4 Supplement Print File	4.4 Video (53:32)
4.5. The Real Zeros of a Polynomial Function	4.5 Notes	4.5 Supplement 4.5 Supplement Print File Supplement "Cubic Formula Problems" Print File	4.5 Video (1:29:49) 4.5 Cubic Formula Video (46:17)
4.6. Complex Zeros; Fundamental Theorem of Algebra	4.6 Notes	4.6 Supplement 4.6 Supplement Print File	4.6 Video (57:20)

Chapter 5. Exponential and Logarithmic Functions.

SECTION	NOTES	SUPPLEMENTS	VIDEOS ON YOUTUBE
5.1. Composite Functions	5.1 Notes	5.1 Supplement 5.1 Supplement Print File	5.1 Video (39:28)
5.2. One-to-One; Inverse Functions	5.2 Notes	5.2 Supplement 5.2 Supplement Print File	5.2 Video (1:06:19)
5.3. Exponential Functions	5.3 Notes	5.3 Supplement 5.3 Supplement Print File	5.3 Video (55:54)
5.4. Logarithmic Functions	5.4 Notes	5.4 Supplement 5.4 Supplement Print File	5.4 Video (1:04:37)
5.5. Properties of Logarithms	5.5 Notes	5.5 Supplement 5.5 Supplement Print File	5.5 Video (49:50)
5.6. Logarithmic and Exponential Equations	5.6 Notes	5.6 Supplement 5.6 Supplement Print File	5.6 Video (36:40)
5.7. Financial Models	-	-	-
5.8. Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models	5.8 Notes	5.8 Supplement 5.8 Supplement Print File	5.8 Video (52:04)
5.9. Building Exponential, Logarithmic, and Logistic Models from Data	-	-	-

Return to Dr. Bob's webpage

Last updated: March 23, 2024.