Real numbers and sets. Functions, equations, and their graphs. Inequalities. Lines, circles, parabolas. Exponential, logarithm, trigonometric functions. Limits and continuity. Derivatives. Rules of differentiation. Higher order derivatives. Chain rule. Related rates. Rolle's theorem and the mean value theorem. Critical points. Asymptotes. Curve sketching. Integrals. Fundamental Theorem. Techniques of integration. Definite integrals. Application to geometry and science. Indeterminate forms. L'Hôpital's Rule. Improper integrals. Sequences, infinite series, Alternating series, Ratio, Root, Comparison Tests.

- Instructor: Nouman Arshad