Math 205

MATH 205 (General Calculus, 2025 Spring)

Textbook Link: https://www.opentextbookstore.com/appcalc/appcalc.pdf.

• § 1.1 (Functions)

• § 1.2 (Operations on Functions)

• § 1.3 (Linear Functions)

• § 1.4 (Exponents)

• § 1.5 (Quadratics)

• § 1.6 (Polynomials and Rational Functions)

• § 1.7 (Exponential Functions)

• § 1.8 (Logarithmic Functions)

• § 2.1 (Limit and Continuity)

• § 2.2 (Derivative)

• § 2.3 (Power and Sum Rules for Derivatives)

• § 2.4 (Product and Quotient Rules)

• § 2.5 (Chain Rule)

• § 2.6 (Second Derivative and Concavity)

• § 2.7 (Optimization)

• § 2.8 (Curve Sketching)

• § 2.9 (Applied Optimization)

• § 2.10 (Tangent Line Approximation)

• § 2.11 (Implicit Differentiation and Related Rates)

• § 3.1 (Integral)

• § 3.2 (The Fundamental Theorem of Calculus)

• § 3.3 (Antiderivatives of Formulas)

• § 3.4 (Substitution)

• § 3.5 (Additional Integration techniques)

• § 3.6 (Area, Volume, and Average value)

• § 3.7 (Application to Business)

• § 4.1 (Functions of Two Variables)

• § 4.2 (Calculus of Functions of Two Variables)

• § 4.3 (Optimization)

Practice Exams (with solutions):

• Practice Midterm 1

• Practice Midterm 2

• Practice Midterm 3

• Practice Final