This course covers the breadth of university calculus: differentiation, integration, infinite series, and ordinary differential equations. It focuses on concepts and interconnections. In order to cover this much material, computational techniques are de-emphasized. The approach is historically based and classical, following original texts where possible. Further techniques and applications, which would normally be covered in a first calculus sequence, will appear in following mathematics courses, such as Differential Equations and Non-Linear Dynamical Systems, Ordinary Differential Equations, and Fourier Analysis and Partial Differential Equations. This is an advanced course; Calculus AP or IB cannot be used as substitutes for it. On the other hand, this is at the same time an introductory course on calculus: the course treats the concepts in a logically independent way, so if the other prerequisites are met, no prior experience with calculus is required.
- Understand foundational ideas of calculus as a whole
- Recognize when a problem is amenable to calculus methods
- Interpret models involving calculus, specifically differential equations
- Try out ideas, make conjectures, and experiment
- Persist on difficult, long-form, and open-ended problems
Delivery Method: Remotely accessible
Prerequisites: One previous Bennington College mathematics course (MAT 2244 Quantitative Reasoning and Modeling is recommended), or permission of the instructor. For registration, contact Andrew McIntyre by email or Slack once 4000-level registration is open.
Course Level: 4000-level
T/F 2:10PM - 4:00PM (Full-term)
Maximum Enrollment: 20
Course Frequency: Once a year
Categories: All courses , Mathematics , Remotely Accessible