Brooks Emerick

matH 181 — Calculus

Fall 2024 — Sections 050 and 070

Course Materials:

• Syllabus (updated on August 25)

• Schedule (updated on August 25)

Hawkes Learning:

• Purchase Access/Login

• Training Videos

• Hawkes Learning Support

lecture notes:

• Chapter 1 — Functions

• Chapter 2 — Limits

• Chapter 3 (Part 1) — Differentiation

• Chapter 3 (Part 2) — Differentiation

• Chapter 4 — Applications of the Derivative

Select YouTube Videos/Lectures/Desmos links:

• Graphical Depiction of the Derivative as a Limit

Worksheets:

• S.1.1 — Prerequisites and Functions (Solutions)

• S.1.2 — Function Repertory (Solutions)

• S.1.3 — Combinations of Functions (Solutions)

• S.1.4 — Inverse Functions (Solutions)

• Trigonometry Review — Unit Circle

• 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 Limits (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 Exponential Functions (Solutions)

• S.3.2.P2 — Product and Quotient Rules (Solutions)

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

• S.3.4 — Chain Rule (Solutions)

• S.3.5 — Implicit Differentiation (Solutions)

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

• S.4.1 — Extreme Value of Functions (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)

• S.4.4 — L’Hopital’s Rule (Solutions)

additional problems:

• S.2.1: Rates of Change

• S.2.6: Limit Definition of the Derivative

• S.3.1: Differentiability

• S.3.2: Derivatives of Polynomials, Exponentials, Products, and Quotients

• S.3.3: Derivatives of Trigonometric Functions

• S.3.4: The Chain Rule

• S.3.5: Implicit Differentiation

• S.3.6: Derivatives of Inverse Functions

• S.4.1: Extrema and Closed Interval Method

Problem Sets:

• Problem Set I (Solutions, graph)

• Problem Set II (Solutions)

• Problem Set III (Solutions, graph)

• Problem Set IV (Solutions, graph 1, graph 2)

• Problem Set V (Solutions)

• Problem Set VI (due on Nov 8 by 11:59 PM on D2L)

In-Class Exams:

• Exam I (Solutions)

• Exam II (Solutions)