MTH 265 Introduction to Series - Summer 2023

Listed below are some of the materials I’ve developed for the MTH 265 course I taught at Oregon State University.

Lecture Notes

1. LN1A.Ex1. Example Problem involving Taylor’s Inequality
2. LN2A. On Divergence of Series and the Integral Test
3. LN2B. Area-Corrected Approximations
4. LN2C. Comparison Test and the Limit Comparison Test
5. LN3A. Simplified Integral Test, Alternating Series Test and Absolute Convergence
6. LN3B. The Ratio Test and the Root Test
7. LN3C. Power Series and Term-by-Term Differentiation and Integration
8. LN4A. Taylor Series and Polynomial Approximations

Homework Assignments and Keys

1. HW1A. Taylor Polynomials
2. HW1B. Sequences and Series and Key
3. HW2A. Geometric Series and Divergence Test and Key
4. HW2B. The Integral Test and Key
5. HW3A. Comparison Tests and Key
6. HW3B. Alternating Series Test and Key
7. HW4A. Root Test and Ratio Test and Key
8. HW4B. Power Series Representations and Key

Resources for the Final Exam

1. FE.R. Review Problems for the Final Exam
2. FE.R.Key. Key for the Review Problems
3. FE.H. Reference Sheet for Final Exam