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CECM | CAG | Department of Mathematics | SFU | IRMACS | PIMS

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MATH 152: Calculus II

Spring 2025

Lectures: Mondays, Wednesdays and Fridays 8:30am in B9200

The Course Materials are on Canvas

Course Outline

The Material is Taken from Stewart

  • 4.9 Antiderivatives
  • 5.1 Areas and Distances
  • 5.2 The Definite Integral
  • 5.3 The Fundamental Theorem of Calculus
  • 5.4 Indefinite Integrals and the Net Change Theorem
  • 5.5 The Subsitution Rule
  • 6.1 Areas Between Curves
  • 6.2 Volumes
  • 6.5 Average Value of a Function

  • 7.1 Integration by Parts
  • 7.2 Trigonometric Integrals
  • 7.3 Trigonometric Substitution
  • 7.4 Integration of Rational Functions
  • 7.5 Strategy for Integration
  • 7.7 Approximate Integration
  • 7.8 Improper Integrals
  • Special Functions (new): erf(x) and Si(x)
  • 8.1 Arc Length
  • 8.3 Centres of Mass
  • 10.2 Calculus with Parametric Curves

  • 11.1 Sequences
  • 11.2 Series
  • 11.3 The Integral Test
  • 11.4 The Comparison Tests
  • 11.5 Alternating Series
  • 11.6 Absolute Convergence and the Ratio Test
  • 11.7 Strategry for Testing Series
  • 11.8 Power Series
  • 11.9 Representation of Functons as Power Series
  • 11.10 Taylor and Maclaurin Series
  • 11.10 Taylor Polynomials
  • 11.11 Applicatins of Taylor Polynomials
  • p. (778) 782-4279 · Shrum Science K 10501 · Department of Mathematics · Simon Fraser University · 8888 University Drive · Burnaby · BC · V5A 1S6 · Canada