MATH 247
Calculus 3 (Advanced Level)
Undated · Calculus 3
Topics
- Introduction to Vector-Valued Functions
- Topology of Sets in Euclidean Space
- Limits and Continuity
- Introduction to Derivatives in Euclidean Space
- Differentiation
- Higher Order Derivatives
- Introduction to Integrals in Euclidean Space
- Jordan Content and Integration
- Fubini's Theorem and Change of Variables
Readings
- Chapter 1. Introduction to Vector-Valued Functions — https://www.math.uwaterloo.ca/~snew/MATH247/Chap1IntroToFunctions.pdf
- Chapter 2. Topology of Sets in Euclidean Space — https://www.math.uwaterloo.ca/~snew/MATH247/Chap2TopologyOfSets.pdf
- Chapter 3. Limits and Continuity — https://www.math.uwaterloo.ca/~snew/MATH247/Chap3LimitsAndContinuity.pdf
- Chapter 4. Introduction to Derivatives in Euclidean Space — https://www.math.uwaterloo.ca/~snew/MATH247/Chap4IntroToDerivatives.pdf
- Chapter 5. Differentiation — https://www.math.uwaterloo.ca/~snew/MATH247/Chap5Differentiation.pdf
- Chapter 6. Higher Order Derivatives — https://www.math.uwaterloo.ca/~snew/MATH247/Chap6HigherOrderDerivatives.pdf
- Chapter 7. Introduction to Integrals in Euclidean Space — https://www.math.uwaterloo.ca/~snew/MATH247/Chap7IntroToIntegrals.pdf
- Chapter 8. Jordan Content and Integration — https://www.math.uwaterloo.ca/~snew/MATH247/Chap8JordanContent.pdf
- Chapter 9. Fubini's Theorem and Change of Variables — https://www.math.uwaterloo.ca/~snew/MATH247/Chap9Fubini.pdf
- Appendix. Linear Algebra Notes on Bilinear Forms — https://www.math.uwaterloo.ca/~snew/MATH247/App1BilinearForms.pdf
Sources
- Course catalogue ↗2026–2027
- course_website ↗Undated
- Public lecture-note archive by Stephen New. Topics are the chapter headings in the posted notes; this is not a current-term syllabus. Source term/year not established.