Brooks Emerick

matH 115 — preCalculus

Fall 2026 — Section 030

Course Materials:

• Syllabus (updated Aug 21)

• Schedule (updated Oct 19)

• PDF Textbook:

  • Prerequisites — Basic Algebra

  • Chapter 1 — Functions and Their Graphs

  • Chapter 2 — Polynomial and Rational Functions

  • Chapter 3 — Exponential and Logarithmic Functions

  • Chapter 4 — Trigonometric Functions

  • Answers to Odd-Numbered Review Problems

Lecture Notes:

• Chapter 1 Notes (updated Sep 16)

• Chapter 2 Notes (updated Oct 29)

Worksheets:

• Chapter 1 Worksheets:

  • S.1.1—S.1.3: Cartesian Plane, Graphs, and Lines (Solutions)

  • S.1.4: Functions (Solutions)

  • S.1.5: Graphs of Functions (Solutions)

  • S.1.6-S.1.7.P1: Parent Functions and Transformations (Solutions)

  • S.1.6-S.1.7.P2: Parent Functions and Transformations (Solutions)

  • S.1.8: Combinations of Functions (Solutions)

  • S.1.9: Inverse Functions (Solutions)

• Chapter A Worksheets:

  • S.A.1.P1: Order of Operations (Solutions)

  • S.A.1.P2: Simplifying Fractions (Solutions)

  • S.A.1.P3: Adding and Subtracting Fractions (Solutions)

  • S.A.1.P4: Multiplying and Dividing Fractions (Solutions)

  • S.A.1.P5: Order of Operations with Fractions (Solutions)

  • S.A.2.P1: Basic Rules of Exponents (Solutions)

  • S.A.2.P2: Zero and Negative Exponents (Solutions)

  • S.A.2.P3: Fractional Exponents and Radicals (Solutions)

  • S.A.2.P4: Operations on Radicals (Solutions)

  • S.A.3.P1: Working with Binomial Products (Solutions)

  • S.A.3.P2: Factoring using GCF and Grouping (Solutions)

  • S.A.3.P3: Factoring Trinomials (Solutions)

• Chapter 2 Worksheets

  • S.2.1: Quadratic Functions (Solutions)

  • S.2.2.P1: Polynomial Functions (Solutions)

  • S.2.2.P2: Polynomial Functions (Solutions)

  • S.2.3: Polynomial Division (Solutions)

  • S.2.6: Rational Functions (Solutions)

Problem Sets:

• Problem Set I (Solutions)

• Problem Set II (Solutions)

• Problem Set III (Solutions)

• Problem Set IV (Solutions)

• Problem Set V (Solutions)

• Problem Set VI (Due Nov 11)

Quizzes:

• Quiz 1 — Midpoint and Lines (Solutions)

• Quiz 2 — Function Notation and Parent Functions (Solutions)

• Quiz 3 — Inverse Functions and PEMDAS (Solutions)

• Quiz 4 — Exponent Laws and Fractional Exponents (Solutions)

• Quiz 5 — Quadratics and Polynomial End Behavior (Solutions)

• Quiz 6 — Polynomial Degree and Synthetic Division (Solutions)

Exams:

• Exam I (Solutions)

• Exam II (Solutions)