B. Motion Along a Plane Curve
C. Other Applications of Riemann Sums
D. FTC: Definite Integral of a Rate Is Net Change
Practice Exercises
9 Differential Equations
A. Basic Definitions
B. Slope Fields
BC ONLY
C. Euler’s Method
D. Solving First-Order Differential Equations Analytically
E. Exponential Growth and Decay
Case I: Exponential Growth
Case II: Restricted Growth
BC ONLY
Case III: Logistic Growth
Practice Exercises
10 Sequences and Series
BC ONLY
A. Sequences of Real Numbers
BC ONLY
B. Infinite Series
B1. Definitions
B2. Theorems About Convergence or Divergence of Infinite Series
B3. Tests for Convergence of Infinite Series
B4. Tests for Convergence of Nonnegative Series
B5. Alternating Series and Absolute Convergence