Just about all of calculus is based on differential and integral calculus, including Calculus 1! However, Calculus 1 is more likely to cover differential calculus, with integral calculus soon after. So there really isn't a right answer for this question.

Marta Alexandra Pojar has written:

'Extensions of differentiable functional calculus for operators in Banach spaces' -- subject(s): Differential calculus, Linear operators, Banach spaces

Einar Hille has written:

'Analytic function theory' -- subject(s): Analytic functions, Functional analysis, Functions

'Analytic Function Theory (CHEL/270)'

'First-year calculus' -- subject(s): Calculus

'Some problems concerning spherical harmonics' -- subject(s): Spherical harmonics

'Functional analysis and semi-groups' -- subject(s): Functional analysis, Topology, Semigroups

Leonid Vital'evich Kantorovich has written:

'Priblizhennye metody vysshego analiza' -- subject(s): Calculus

'Functional analysis in normed spaces' -- subject(s): Functional analysis

High School
Calculus AB - Calculus 1
Calculus BC - Calculus 1 + part of Calculus 2

College:
Calculus 1: Single variable calculus
Calculus 2: Multi-variable Calculus
Calculus 3: Vector Calculus
Calculus 4: Differential Equation