9 Differential Equations
A. Basic Definitions
B. Slope Fields
C. Euler’s Method BC ONLY
D. Solving First-Order Differential Equations Analytically
E. Exponential Growth and Decay
Case I: Exponential Growth
Case II: Restricted Growth
Case III: Logistic Growth BC ONLY
Practice Exercises
10 Sequences and Series BC ONLY
A. Sequences of Real Numbers
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
C. Power Series
C1. Definitions; Convergence
C2. Functions Defined by Power Series
C3. Finding a Power Series for a Function: Taylor and Maclaurin Series
C4. Approximating Functions with Taylor and Maclaurin Polynomials
C5. Taylor’s Formula with Remainder; Lagrange Error Bound
C6. Computations with Power Series
C7. Power Series over Complex Numbers
Practice Exercises
11 Miscellaneous Multiple-Choice Practice Questions
12 Miscellaneous Free-Response Practice Exercises
AB PRACTICE EXAMINATIONS
AB One
AB Two
AB Three
BC PRACTICE EXAMINATIONS
BC One
BC Two
