Class notes Math 151

Calculus 1 is a fundamental course in the study of calculus that introduces students to the basic concepts and techniques of differential and integral calculus. The course typically covers topics such as limits, derivatives, integrals, functions, continuity, differentiation, rate of change, tangent lines, curve sketching, optimization, critical points, and the fundamental theorem of calculus. Limits, Derivatives, Integrals, Functions, Continuity, Differentiation, Rate of Change, Tangent Line, Curve Sketching, Optimization, Critical Points, Riemann Sum, Fundamental Theorem of Calculus, Chain Rule, Product Rule, Quotient Rule, Implicit Differentiation, Related Rates, Mean Value Theorem, L'Hopital's Rule, Power Rule, Exponential Functions, Logarithmic Functions, Trigonometric Functions, Hyperbolic Functions, Polar Coordinates, Parametric Equations, Area Under a Curve, Definite Integral.