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• Week 1: Preliminaries
• Week 2: Limits and Continuity
• Week 3: Derivatives
• Week 4: Applications of Derivatives
• Week 5: Integration
• Week 6: Applications of Integrals:Areas between Curves, Finding Volumes by Slicing, Volumes of Solids of Revolution—Disks and Washers. Cylindrical Shells
• Week 7: Application of Integrals:Lengths of Plan Curves, Areas of Surfaces of Revolution, Moments and Centers of Mass.
• Week 8:Transcendental Functions: Inverse Functions and Their Derivatives, Natural Logarithms, The Exponential Function, ax and logax
• Week 9: mid term exam
• Week 10:Growth and Decay, L'Hôpital's Rule, Relative Rates of Growth, Inverse Trigonometric Functions
• Week 11:Derivatives of Inverse Trigonometric Functions; Integrals. Hyperbolic Functions.
• Week 12:Conic Sections and Quadratic Equations. Classifying Conic Sections by Eccentricity. Quadratic Equations and Rotations.
• Week 13: Parameterizations of Plan Curves. Calculus with Parameterized Curves.
• Week 14:Polar Coordinates. Graphing in Polar Coordinates. Polar Equations for Conic Sections. Integration in Polar Coordinates.
• Week 15: Vectors and Analytic Geometry in Space, Vectors in the Plane Dot Products
• Week 16:Vector-Valued Function Cartesian (Rectangular) Coordinates and Vectors in Space. Dot Products. Cross Products. Lines and Planes in Space.
• Week 17: Cylinders and Quadric Surfaces. Cylindrical and Spherical Coordinates
• Week 18: Final Exam