Math 250A Notes 1.2-1.5 Limits and Continuity 2.2-2.4 Derivatives of Polynomials and Trig Functions 5.1 Derivatives of Exponential and Logarithmic Functions 2.5 Implicit Differentiation 4.4 and 4.5 Integrals of Polynomials 5.2 and 5.4 Integrals of Exponential and Logarithmic Forms 5.7 Derivatives of Inverse Trig Functions 5.8 Integrals of Inverse Trig Functions 5.9 Hyperbolic Functions 8.1 Integrals of Trig Functions 8.2 Integration by Parts 8.3 Trig Integrals 8.4 Trig Substitution 8.5 Partial Fractions 5.6 Indeterminate Forms 8.8 Improper Integrals 9.1 Sequences 9.2 Series 9.3 The Integral Test 9.4 Comparison Tests 9.5 Alternating Series 9.6 The Ratio and Root Tests 9.7 Taylor and Maclaurin Polynomials 9.8 Power Series 9.9 Power Series Representations 9.10 Taylor and Maclaurin Series 10.2 Parametric Curves 10.3 Parametric Curves and Calculus 10.4 Polar Graphs 10.5 Polar Area and Arc Length 12.1 Vector-Valued Functions 12.2 Derivatives and Integrals of Vector-Valued Functions 12.3 Velocity and Acceleration 12.4 Tangent and Normal Vectors 12.5 Arc Length