Functions: introduction, domain, range, new functions from old (algebraic and composite functions), even & odd functions, exponential, and logarithmic functions. Translation, reflection, and symmetry of graph of an equation. Limit: intuitive approach and computation of limit. Continuity: definition and determination of continuity of a function. Derivative function: definition as a limit, derivation of differentiation rules. Rules of differentiation: chain rule, implicit differentiation, differentiation of logarithmic functions. L’Hôpital’s rule: Indeterminate forms. Application of differentiation: analysis of functions, absolute maxima, and minima, and applied maximum and minimum problems. Indefinite integrals: antiderivative, integration by substitution, integration by parts. Definite integrals: Definite integral as an area, properties of definite integral. Application of integration: calculation of area, initial value problems. Fundamental theorem of calculus: derivative of integral functions, Mean value theorem of integration, Area between two curves.