MATH 1152

Calculus II for Social and Life Sciences

0.5 credits · Undergraduate

Winter 2026

Topics

Integrals (definite integral, The Fundamental Theorem of Calculus, indefinite
integrals, u-substitution)
Applications of Integration (area between curves, volumes, Pappus’s Theorem
on Volumes, average value of a function)
Techniques of Integration (Integration by Parts, Trigonometric integrals
Trigonometric Substitution, Partial Fractions, Improper Integrals)
Infinite Sequences and Series (sequences, limits of sequences, infinite series
Taylor Series)
Evaluate definite and indefinite integrals using the Fundamental Theorem of Calculus
and appropriate antiderivative techniques
Apply u-substitution and change of variables to simplify and solve complex integrals
Compute and interpret the area between curves and volumes of solids of revolution
using integral formulas and Pappus’s Theorem
practical problem-solving contexts
Use various techniques of integration (such as Integration by Parts, Trigonometric
Integrals, Trigonometric Substitution, and Partial Fractions) to solve advanced
integrals
Evaluate improper integrals and determine their convergence or divergence through
limit analysis
divergence using analytic tests
Construct and use Taylor and Maclaurin series to approximate functions and solve
problems involving power series representations
Course Site
directly using the link
regularly. Pre-recorded lecture videos, notes and assignments

Sources