# MA 126 Standards

Calculus II - 2017 Spring

Back to MA 126 (2017 Spring)

The sections below refer to Prof. Clontz’s Calculus 2 Resources.

At the end of the course, each student should be able to…

## Core Standards

• C01: Derive properties of the logarithmic and exponential functions from their definitions. (Section 1.1)
• C02: Prove hyperbolic function identities. (Section 1.2)
• C03: Use integration by substitution. (Section 2.1)
• C04: Use integration by parts. (Section 2.5)
• C05: Identify and use appropriate integration techniques. (Section 2.6)
• C06: Express an area between curves as a definite integral. (Section 3.1)
• C07: Use the washer or cylindrical shell method to express a volume of revolution as a definite integral. (Sections 3.3 and 3.4)
• C08: Express the work done in a system as a definite integral. (Section 3.5)
• C09: Parametrize a curve to express an arclength or area as a definite integral. (Section 4.2)
• C10: Use polar coordinates to express an arclength or area as a definite integral. (Section 4.4)
• C11: Compute the limit of a convergent sequence. (Section 5.2)
• C12: Express as a limit and find the value of a convergent geometric or telescoping series. (Section 5.3)
• C13: Identify and use appropriate techniques for determining the convergence or divergence of a series. (Section 5.8)
• C14: Identify the domain of a function defined as a power series. (Section 6.1)
• C15: Generate a Taylor or Maclaurin Series from a function. (Section 6.2)
• C16: Approximate series and power series within appropriate margins of error. (Section 6.4)

## Supplemental Standards

• S01: Find derivatives and integrals involving logrithmic and exponential functions. (Section 1.1)
• S02: Find derivatives and integrals involving hypberbolic functions. (Section 1.2)
• S03: Integrate products of trigonometric functions. (Section 2.2)
• S04: Use trigonometric substitution. (Section 2.3)
• S05: Use partial fractions to integrate rational functions. (Section 2.4)
• S06: Use cross-sectioning to express a volume as a definite integral. (Section 3.2)
• S07: Derive a formula for the volume of a three dimensional solid. (Sections 3.2-3.4)
• S08: Parametrize planar curves and sketch parametrized curves. (Section 4.1)
• S09: Use parametric equations to find and use tangent slopes. (Section 4.2)
• S10: Convert and sketch polar and Cartesian coordinates and equations. (Section 4.3)
• S11: Define and use explicit and recursive formulas for sequences. (Section 5.1)
• S12: Use the alternating series test to determine series convergence. (Section 5.4)
• S13: Use the integral test to determine series convergence. (Section 5.5)
• S14: Use the ratio and root tests to determine series convergence. (Section 5.6)
• S15: Use the comparison tests to determine series convergence. (Section 5.7)
• S16: Find a power series converging to a function. (Sections 6.1,6.3)
• S17: Prove the convergence of a Taylor or Maclaurin Series using Taylor’s Formula. (Section 6.4)