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MATH 138

Calculus 2 for Honours Mathematics

Undergraduate

Fall 2024 · Calculus 2

Topics

  • The Riemann Integral
  • Methods of Integration
  • Approximate and Improper Integration
  • Applications of Integration
  • Differential Equations
  • Parametric and Polar Equations
  • Sequences and Series
  • Power Series

Readings

  • Lecture Notes — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/index.html
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  • Chapter 1. The Riemann Integral — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch1Integration.pdf
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  • Chapter 2. Methods of Integration — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch2Methods.pdf
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  • Chapter 3. Approximate and Improper Integration — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch3ApproximateAndImproper.pdf
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  • Chapter 4. Applications of Integration — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch4Applications.pdf
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  • Chapter 5. Differential Equations — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch5DEs.pdf
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  • Chapter 6. Parametric and Polar Equations — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch6Parametric.pdf
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  • Chapter 7. Sequences and Series — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch7Series.pdf
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  • Chapter 8. Power Series — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch8PowerSeries.pdf
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  • Appendix 1. Length, Area and Volume (Informal) — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/App1LengthAreaVolume.pdf
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Sources