MAA 4103 – Advanced Calculus 2

Spring 2014 Section 2363

Current Announcements Mon Apr 14: Started the section on Power Series. Fri Apr 11: Class cancelled. Wed Apr 9: Integration and differentiation of uniformly convergent series. Mon Apr 7: Homework 11 is due. Fri Apr 4: Proved two theorems on uniform convergence, integration and differentiation. Started the Section on Pointwise and Uniform Convergence of series. Wed Apr 2: Sup Norm Theorem and Interchanging Limits Mon Mar 31: The sup norm and uniform convergence.

SYLLABUS HOMEWORK NOTES 03.16 CHAPTER 8 NOTES REVIEW ANIMATIONS EXAM SOLNS

Old News

Mon Mar 24: Completed Section on Absolute and Conditional Convergence. We started work on Homework 10. Fri Mar 21: Exam 2 covers Chapter 6 and 7. Wed Mar 19: Review for Exam 2. Also tonight at 8pm (meet at LIT 408) Mon Mar 17: Finished ration test and did examples. Fri Mar 14: First draft of Homework 9 due. Completed root test and did an example. Wed Mar 12: Final Homework 8 due. Mon Mar 10: Discussed Homework 8. Almost finished Proposition 7.3. Fri Feb 28: Homework 8 due. Wed Feb 26: Final Homework 7 due. Mon Feb 24: Homework 7 returned and Final Homework 6 collected. Finished properties of exp and ax. Proved the First Fundamental Theorem of Calculus. Fri Feb 21: First draft of Homework 7 due. Homework 6 returned with hints given. Finished properties of log and began properties of exp. Wed Feb 19: Proved Second Fundamental Theorem of Calculus and started Properties of the LOG Function. Mon Feb 17: First draft of Homework 6 due. Fri Feb 14: Exam 1 returned. See SOLUTION. Covered up to Corollary 6.16. Started discussion of Proposition 6.17. Online NOTES updated. Wed Feb 12: Class cancelled. Mon Feb 10: Up to Theorem 6.11 Fri Feb 7: Exam 1. Fri Jan 31: Updated online notes to include Chapter 6. Review upper and lower bounds and sup and inf. In the online notes we got up to Example 6.4. Homework 5 is due Monday. Wed Jan 29: Finished Chapter 5 and started Chapter 6 – The Riemann Integral. Mon Jan 27: Homework 3 (draft) returned and Homework 2 (final) collected. Discussed Homework 3. Homework 4 was assigned and is due Wednesday. We finished the proof of Taylor’s Theorem and began the proof of L’Hopital’s Rule. Fri Jan 24: Homework 3 was collected. Homework 2 (draft) was returned. We went over Induction Proofs and the idea for Problem 2 in Homework 2. We finished the proof of … and … Wed Jan 22: We started Section 5.4 (online notes) and go up to Corollary 5.18. Homework 1 and Homework 2 (draft) were collected. Homework 3 was assigned. Jan 17: Discussed Homework 1. Proved the Inverse Function Theorem and did an Example. Assigned Homework 2 due next Wednesday. Jan 15: Covered Section 4.6 on Inverse Functions. Started discussion of the Inverse Function Theorem. Students handed in Homework 1. Jan 13: Dr.G. has returned. Went over syllabus etc. Did the proof of Theorem 5.9. Jan 6 – 10: Dr. McCullough taught the class and covered Sections 4.7 and 4.8 and Sections 5.1 and 5.2 up to Theorem 5.9 Monday 6 January. Start of Spring classes. See you then. Research and scholarship opportunities for undergraduates.