1 Functions and Models V1.4 Family of Functions M1.5 Exponential Functions M1.7A Parametric Curves M1.7B Families of Cycloids 2 Limits and Derivatives V2.1 Secant Line and Tangent V2.6 Tangent Zoom V2.7 Slope-a-Scope M2.7 How do Coefficients Affect Graphs? 3 Differentiation Rules V3.1 Slope-a-Scope (Exponential) V3.3 Slope-a-Scope (Trigonometric) M3.8 The Dynamics of Linear Motion 4 Applications of Differentiation M4.3 Using Derivatives to Sketch f V4.4 Family of Rational Functions M4.6 Analyzing Optimization Problems M4.7 Newton's Method 5 Integrals V5.1 Areas Under a Parabola M5.2/5.9 Estimating Areas under Curves V5.2 Integral with Riemann Sums M5.4 Fundamental Theorem of Calculus M5.10 Improper Integrals 6 Applications of Integration V6.2A Approximating the Volume V6.2B Volumes of Revolution V6.2C A Solid With Triangular Slices V6.4 Circumference as a Limit of Polygons 7 Differential Equations M7.2A Direction Fields and Solution Curves M7.2B Euler's Method M7.6 Predator-Prey 8 Infinite Sequences and Series M8.2 An Unusual Series and Its Sums M8.7/8.8 Taylor Series and MacLaurin Series 9 Vectors and the Geometry of Space V9.2 Adding Vectors V9.3A The Dot Product of Two Vectors V9.3B Vector Projections V9.4 The Cross Product M9.6A Traces of Surface M9.6B Quadric Surfaces M9.7 Surfaces in Cyl. and Sph. Coords 10 Vector Functions V10.1A Vector Functions and Space Curves V10.1B The Twisted Cubic Curve V10.1C Visualizing Space Curves V10.2 Secant and Tangent Vectors V10.3A The Unit Tangent Vector V10.3B The TNB Frame V10.3C Osculating Circle V10.4 Velocity and Acceleration Vectors V10.5 Grid Curves on Parametric Surfaces M10.5 Families of Parametric Surfaces 11 Partial Derivatives V11.1A Animated Level Curves V11.1B Level Curves of a Surface V11.2 Limit that Does Not Exist V11.4 The Tangent Plane of a Surface V11.6A Directional Derivatives V11.6B Maximizing Directional Derivative M11.7 Critical Points from Contour Maps V11.7 Families of Surfaces V11.8 Lagrange Multipliers 12 Multiple Integrals V12.2 Fubini's Theorem V12.7 Regions of Triple Integrals V12.8 Region in Spherical Coordinates 13 Vector Calculus V13.1 Vector Fields V13.6 A Nonorientable Surface