Calculus II

Integration techniques, applications of integrals, sequences and series.

MATH-101 Year 1 3 credits 12 lessons · 7 h 56 min

Offered by HSM University · Engineering Core

This is the American version of this course. See the Canadian version.

What you'll learn

Integrate using substitution, integration by parts, trigonometric identities and partial fractions
Evaluate integrals with trigonometric substitution and completing the square, and use tables, software and special functions with verification
Compute areas, volumes, arc lengths and work with definite integrals
Locate centroids and compute second moments of area and mass moments of inertia
Solve separable and linear first-order differential equations and apply them to draining, growth, mixing and circuits
Evaluate improper integrals and apply them to reliability and probability
Describe curves parametrically and in polar coordinates and compute their slopes, lengths and enclosed areas
Test series for convergence, sum geometric series and approximate functions with Taylor polynomials
Manipulate power series, use them for integrals and differential equations, and work with complex numbers and Euler's formula
Compute Fourier series of periodic functions and use them for harmonic analysis, RMS values and filtering
Set up and evaluate integrals for beam deflection, pipe flow, atmospheric pressure and heat conduction
Combine integration, differential equations and series to model and analyze engineering systems

12 lessons · 7 h 56 min total · final exam

Recommended background. You can start any course at any time.

Integration techniques, applications of integrals, sequences and series.

Part of the Engineering stream, typically taken in year 1.