Brooks Emerick

matH 181 — Calculus

Fall 2025 — Section 050

Course Materials:

• Schedule (updated Aug 24)

• Syllabus (updated Aug 24)

WebWork:

• WeBWork Login

• WeBWork Support

lecture notes:

• Trig Review — Unit Circle

• Chapter 1 — A Function Primer

• Chapter 2 — Limits

• Chapter 3 (Part 1) — Differentiation

• Chapter 3 (Part 2) — Differentiation

• Chapter 4 — Applications of Differentiation

Videos and Desmos:

• Using GeniusScan to Upload Homework to D2L

• Domain and Range

• Visualizing Limits

• Rates of Change

• Brute Force Derivatives at a Point

• Secant Lines and Tangent Lines

Worksheets:

• S.1.1: Prerequisites and Functions (Solutions)

• S.1.2: Function Repertory (Solutions)

• S.1.3: Transformations of Functions (Solutions)

• S.1.4: Inverse Functions (Solutions)

• S.2.2.P1: Limits all Around the Plane (Solutions)

• S.2.2.P2: Limits all Around the Plane (Solutions)

• S.2.4.P1: Determining Limits of Functions (Solutions)

• S.2.4.P2: Other Important Functions (Solutions)

• S.2.5.P1: Continuity (Solutions)

• S.2.5.P2: Continuity (Solutions)

• S.2.1: Rates of Change and Tangents (Solutions)

• S.2.6.P1: The Derivative at a Point (Solutions)

• S.2.6.P2: The Derivative Function (Solutions)

• S.3.1: Differential Notation (Solutions)

• S.3.2.P1: Derivatives of Polynomials and Exponentials (Solutions)

• S.3.2.P2: Derivatives of Products and Quotients (Solutions)

• S.3.3: Derivatives of Trig Functions (Solutions)

• S.3.4: The Chain Rule (Solutions)

• S.3.5: Implicit Differentiation (Solutions)

• S.3.6: Derivatives of Inverse Functions (Solutions)

• S.4.1: Extreme Values and Closed Interval Method (Solutions)

• S.4.2: Mean Value Theorem (Solutions)

• S.4.3.P1: Monotonicity and First Derivative Test (Solutions)

• S.4.3.P2: Concavity and Second Derivative Test (Solutions)

Problem Sets:

• Problem Set I (Solutions)

• Problem Set II (Solutions)

• Problem Set III (Solutions)

• Problem Set IV (Solutions)

• Problem Set V (Due Friday Oct 31 by 11:59 PM on D2L)

• Problem Set VI (Due Friday Nov 7 at 11:59 PM on D2L)

Desmos Labs:

• Lab 1 — Functions and Limits (Solutions)

  • Part 1 — Domain and Range

  • Part 2 — Piecewise Function

  • Part 3 — Brute Force Method

• Lab 2 — Derivatives and Rates of Change (Solutions)

  • Part 1 — The Tangent Train

  • Part 2 — Continuity and Differentiability

  • Part 3 — What Does the Derivative Tell Us?

Exams:

• Exam I (Solutions)

• Exam II (Solutions)

• Exam III is on Friday, Nov 14, at 12:00 PM in AF 202