PAL Worksheets

0. Bonus Sheets

0.1 Algebra Review

0.2 Set and Interval Notation

0.3 Completing the Square

0.4 Factoring Quadratics

0.5 Sign Diagrams

1. Introduction to Functions

1.1 Functions and their Representations

1.2 Constant and Linear Functions

1.3 Absolute Value Functions

1.4 Quadratic Functions

2. Polynomial Functions

2.1 Graphs of Polynomial Functions

2.2 The Remainder and Factor Theorems

2.3 Real Zeros of Polynomials

3. Rational Functions

3.1 Introduction to Rational Functions

3.2 Graphs of Rational Functions

3.3 Inequalities involving Rational Functions

4. Root, Radical and Power Functions

4.1 Root and Radical Functions

4.2 Power Functions

4.3 Equations and Inequalities involving Power Functions

5. Further Topics on Functions

5.1 Graphs of Functions

5.2 Function Arithmetic

5.3 Function Composition

5.4 Transformations of Graphs

5.5 Relations and Implicit Functions

5.6 Inverse Functions

6. Exponential and Logarithmic Functions

6.1 Exponential Functions

6.2 Logarithmic Functions

6.3 Properties of Logarithms

6.4 Equations and Inequalities involving Exponential Functions

6.5 Equations and Inequalities involving Logarithmic Functions

7. Foundations of Trigonometry

7.1 The Radian Measure of Angles

7.2 The Circular Functions: Sine and Cosine

7.3 Graphs of Sine and Cosine

7.4 The Circular Functions: Tangent, Secant, Cosecant, and Cotangent

7.5 Graphs of Secant, Cosecant, Tangent, and Cotangent Functions

8. Analytical Trigonometry

8.1 The Pythagorean Identities

8.2 More Identities

8.3 The Inverse Circular Functions

9. Geometric Applications of Trigonometry

9.1 The Law of Sines

9.2 The Law of Cosines

10. EXAM REVIEW I

10.1 Selected Challenge Problems

10.2 Selected Challenge Problems SOLUTIONS

11. EXAM REVIEW II

11.1 Selected Challenge Problems

11.2 Selected Challenge Problems SOLUTIONS

12. EXAM REVIEW III

12.1 Selected Challenge Problems

12.2 Selected Challenge Problems SOLUTIONS

13. EXAM REIVEW IV

13.1 Selected Challenge Problems

13.2 Selected Challenge Problems SOLUTIONS

14. FINAL EXAM REVIEW

14.1 Complete Edition

14.2 Complete Edition SOLUTIONS

These worksheets follow along with the theorems and content ordering found in the textbook Precalculus by Stitz and Zeager Version 4 – ϵMB, which is a custom complied version specifically designed for Ohio University MATH1300 students created by Dr. Erik Boczko. All worksheets are designed and written by me. Faculty of other universities or high-schools are welcome to use these worksheets free of charge as long as proper citation is given and the link to my website at the top of the page is not removed. TeX files are private, but may be selectively released upon request. link