MATH 138
Calculus 2 for Honours Mathematics
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
- Chapter 1. The Riemann Integral — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch1Integration.pdf
- Chapter 2. Methods of Integration — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch2Methods.pdf
- Chapter 3. Approximate and Improper Integration — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch3ApproximateAndImproper.pdf
- Chapter 4. Applications of Integration — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch4Applications.pdf
- Chapter 5. Differential Equations — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch5DEs.pdf
- Chapter 6. Parametric and Polar Equations — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch6Parametric.pdf
- Chapter 7. Sequences and Series — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch7Series.pdf
- Chapter 8. Power Series — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/Ch8PowerSeries.pdf
- Appendix 1. Length, Area and Volume (Informal) — https://www.math.uwaterloo.ca/~snew/MATH138/Notes/App1LengthAreaVolume.pdf
Sources
- Course catalogue ↗2026–2027
- course_website ↗Fall 2024
- Public lecture-note archive by Stephen New. Topics are the chapter headings in the posted notes; this is not a current-term syllabus.