A continuation of Calculus 1 covering advanced integration, infinite series, and differential equations — with a short introduction to parametric, polar, and vector topics that some universities like to see before Calculus 3.
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97% Completion RateCourse completion rate
28–30 DaysAverage course completion
Save $650+vs. average community college cost
Self-Paced · Final Exam · ACE & NCCRS Recommended
What You'll Learn
A full semester of calculus 2 — completed at your own pace, with no deadlines or fixed class times.
Learning Outcomes
What You'll Be Able to Do
✓Analyze an integrand and select and justify the most efficient integration technique — substitution, integration by parts, trigonometric methods, or partial fractions — then carry out the evaluation
✓Evaluate limits of indeterminate forms using L'Hôpital's Rule, and determine the convergence or divergence of improper integrals, justifying the method including comparison
✓Analyze problems involving hyperbolic and inverse hyperbolic functions — including applications such as the catenary — and apply appropriate identities, derivatives, and integration techniques
✓Formulate and solve definite integrals to compute areas, volumes, arc length, surface area, and work, selecting the disk, washer, or shell method best suited to the solid
Course Curriculum
Your path through the course
Work through each lesson at your own pace and build your understanding step by step.
✓Construct and solve separable first-order differential equations to model exponential, logistic, and growth-and-decay phenomena, and interpret the solutions in context
✓Differentiate among the convergence tests, choose the most efficient one for a given series, and distinguish absolute from conditional convergence
✓Determine the radius and interval of convergence of a power series and generate Taylor and Maclaurin series, applying them to approximate values and integrals and assessing error with Taylor's Inequality
✓Analyze parametric, polar, and vector representations — graphing curves, computing slopes, arc length, and area, converting between coordinate systems, and applying dot and cross products in two and three dimensions
