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MATH 1230

Calculus II for Engineers

0.5 credits · Undergraduate

Spring 2026 · Calculus II / Calculus II for Engineers

Topics

  • Integration by Substitution
  • Applications of Integration (areas of regions between curves, volumes
  • of solids of revolution, arc length of a curve, surface area of a surface
  • of revolution, center of mass, work, average value of a function)
  • Techniques of Integration (integration by parts, trigonometric integrals
  • trigonometric substitution, partial fractions)
  • Indeterminate Forms and L’Hospital’s Rule
  • Improper Integrals
  • Infinite Sequences and Series (sequences, limits of sequences, series
  • tests for convergence, power series, representation of functions as power
  • series, Maclauring and Taylor Series)

Readings

  • Recommended: Any edition of the following: ˆ Calculus: Early Transcendentals, by Ron Larson and Bruce Edwards, (8th Edition Hardcopy early-transcendental-functions-8e-larson-edwards/9780357759325), (Chancellor Paterson Library, Paterson Books - 4th floor; QA 303 L3274 2003).
  • Recommended: ˆ Calculus: Early Transcendentals, by James Stewart, (9th Edition Hardcopy early-transcendentals-9e-stewart-clegg-watson/9781337613927), (Chancellor Paterson Library, Paterson Books - 4th floor; QA 303 L3274 2003).
  • Recommended: Free Online Textbooks: ˆ Calculus Volume 2 by Edwin Herman, Gilbert Strang (
  • Recommended: ˆ Apex Calculus, Version 3 by Gregory Hartman (
Winter 2026

Topics

  • Integration by Substitution
  • Applications of Integration (areas of regions between curves, volumes
  • of solids of revolution, arc length of a curve, surface area of a surface
  • of revolution, center of mass, work, average value of a function)
  • Techniques of Integration (integration by parts, trigonometric integrals
  • trigonometric substitution, partial fractions)
  • Indeterminate Forms and L’Hospital’s Rule
  • Improper Integrals
  • Infinite Sequences and Series (sequences, limits of sequences, series
  • tests for convergence, power series, representation of functions as power
  • series, Maclauring and Taylor Series)

Readings

  • Recommended: Any edition of the following: ˆ Calculus: Early Transcendentals, by Ron Larson and Bruce Edwards, (8th Edition Hardcopy early-transcendental-functions-8e-larson-edwards/9780357759325), (Chancellor Paterson Library, Paterson Books - 4th floor; QA 303 L3274 2003).
  • Recommended: ˆ Calculus: Early Transcendentals, by James Stewart, (9th Edition Hardcopy early-transcendentals-9e-stewart-clegg-watson/9781337613927), (Chancellor Paterson Library, Paterson Books - 4th floor; QA 303 L3274 2003).
  • Recommended: Free Online Textbooks: ˆ Calculus Volume 2 by Edwin Herman, Gilbert Strang (
  • Recommended: ˆ Apex Calculus, Version 3 by Gregory Hartman (
Winter 2026

Topics

  • Inverse, exponential, logarithmic and inverse trigonometric functions
  • derivatives and integrals
  • areas, volumes and work
  • integration by parts, trigonometric substitution and partial fractions
  • improper integrals
  • sequences and convergence tests
  • power and Taylor series.

Readings

Winter 2017

Topics

  • as well as provide students with the opportunity to ask questions about
  • mandatory, it is beneficial to attend

Readings

  • Calculus, 6th Edition, by Ron Larson and Bruce Edwards. Course Content: The topics to be covered are, tentatively, the following:
Winter 2016

Topics

  • as well as provide students with the opportunity to ask questions about
  • mandatory, it is beneficial to attend

Readings

  • Calculus, 6th Edition, by Ron Larson and Bruce Edwards. Course Content: The topics to be covered are, tentatively, the following:
Sources