Math 221

MATH 221 (Analytic Geometry and Calculus II, 2025 Summer)

Note: The lectures are provided by Prof. Amorim and Prof. Spencer

Textbook Link: https://openstax.org/details/books/calculus-volume-2.

• § 1.5 (Substitution)

• § 2.4 (Arc Length and Surface Area)

• § 2.5 (Work of a Force)

• § 2.6 (Centroids)

• § 2.9 (Hyperbolic Functions)

• § 3.1 (Integration by Parts)

• § 3.2 (Trigonometric Integrals)

• § 3.3 (Trigonometric Substitution)

• § 3.4 (Partial Fractions)

• § 3.6 (Numerical Integration)

• § 3.7 (Improper Integrals)

• § 4.1 and § 4.3 (Separable Differential Equations)

• § 5.1 (Sequences)

• § 5.2 (Series)

• § 5.3 (Divergence and Integral Tests)

• § 5.4 (Comparison Tests)

• § 5.5 (Alternating Series)

• § 5.6 (Root and Ratio Tests)

• § 6.1 and § 6.2 (Power Series)

• § 6.3 (Taylor/Maclaurin Series, Part I)

• § 6.4 (Taylor/Maclaurin Series, Part II)

• § 7.1 and § 7.2 (Parametric Curves)

• § 7.3 (Polar Coordinates)

• § 7.4 (Calculus in Polar Coordinates)

Practice Exams (with solutions):

• Practice Midterm 1 (Version A), Practice Midterm 1 (Version B)

• Practice Midterm 2 (Version A), Practice Midterm 2 (Version B)

• Practice Midterm 3 (Version A), Practice Midterm 3 (Version B)

• Practice Final (Part I), Practice Final (Part II)