Calculus Standards

Algebra Review Sections

Trigonometry

Expanding binomials

Long and synthetic division

Logarithms and exponents

Fractional exponents/Roots

Completing the square

Factoring power functions

Graphing Parent Functions

Limits and Continuity

Finding the limit at a point, P.3, 1.2, 1.3

Continuity and discontinuity, IVT 1.4

Asymptotes and limits at infinity and 0, 1.5, 3.5

Finding derivatives with the limit definition. 2.1

Derivatives

Finding derivatives w/ power rule 2.2

Differentiability and cusps, 2.1

Sketching with Derivatives 3.6

Trig derivatives and antiderivs 2.2, 5.2

Using the product/quotient rules 2.3

Using the chain rule 2.4

Implicit differentiation 2.5

Related rates 2.6

Related Rates FRQ

Applications of the Derivative

Determining absolute extrema 3.1

Finding incr/decr with derivatives 3.3

Assessing concavity w/ 2^nd Deriv 3.4

Reading Derivative Graphs, MVT 3.2

L’Hopital’s rule

Optimization problems 3.7

Applications FRQ

Integrals

Approx area under a curve 4.2, 4.3, 4.6

Solving integrals (power/trig) 4.1/4.3

Properties of Integrals / Fun thrm 4.4

Mean value theorem 3.2, 4.4

Integrating with substitution 4.5

Derivative graph FRQ

Concept

Transcendental Functions

Ln derivatives and integrals 5.1, 5.2

Exponential derivatives and integrals 5.4

Exponential with bases other than e 5.5

Inverse trigonometric functions 5.6, 5.7

Exponential FRQ (Der and Int)

Differential Equations

Interpreting diffy-Qs/Euler’s 3.9, 6.1

Application of slope fields 6.1

Separation of variables 6.2, 6.3

Differential Equations FRQ

Area and Volume

Area between two or more curves 7.1

Volumes – cross sections 7.2

Volumes – disk/washer method 7.2

Area and Volume FRQ