| Reading assignments | Read Section 5.8 in my textbook draft |
| Homework on: Monotone sequences due by 3/25/24 | See Blackboard |
AssignmentsClass Meeting 1: Introduction to Monotone Sequences
| Activity | Description |
| Catch up | |
| Increasing Sequences | Define and present examples; engage in proofs. |
| Decreasing Sequences | Define and work through proofs of examples. |
| Monotone Sequences | Formally define and differentiate between strictly and non-strictly monotone. |
| Class Activity | Small group task to prove non-monotonicity of a sequence. |
Meeting 1Class Meeting 2: Advanced Concepts and the Monotone Convergence Theorem
| Activity | Description |
| The Monotone Convergence Theorem (MCT) | State the theorem and prove it |
| Example | Prove that ((1/(√n)))_{n=1}^{∞} is convergent using the MCT |
| Example | Analyze the following recursively defined sequence: y₁=1 and y_{n}=((2y_{n-1}+3)/4) |
Meeting 2