1. Differential Calculus: Coordinate Planes and Straight Lines. Functions and Their Graphs. Limits. Continuity. Derivatives. Tangent Lines. Rates of Change. Basic Differentiation Rules. Derivatives of Trigonometric Functions. Derivatives of Logarithmic Functions. Implicit Differentiation. The Chain Rule. Extremal Values of Functions. First and Second Derivative Tests. Extremal Values of Functions on a Closed Interval. Applied Extremal Problems. Related Rates. Newton's Method. Differentials and Linear Approximation. Increasing and Decreasing Functions. Mean Value Theorem. Higher Derivatives. Concavity. Curve Sketching. Asymptotes. 2. Integral Calculus: Antiderivatives. Initial Value Problems. Riemann Sums. Integrals. Average Values. Fundamental Theorems of Calculus. Techniques of Integrations. Numerical Integration. Setting Up Integral Formula. Areas of Plane Regions. Volume of Revolution. Surface Area of Revolution. Arc Length. Separable Differential Equations. Force and Work.