====== Fenmiao Zhong ====== Hi, I am a sophomore majoring in MCB and applied math and minoring in Bioengineering. I have taken Math53, Math54, Math55, and Math110 in previous semesters. This is my second upper-division math course. I am currently taking Math104, Math113, Stat134, BioE104, Philo12A. ===== Course Journal ===== ==== Jan 18th ==== * {{ :math104-s22:s:fenmiao:lecture_1_jan_18_tue.pdf |Lecture 1 Notes}} * Introduction to the course content * Discussion about natural numbers, integers, and rational numbers * First exposure to SpatialChat discussion ==== Jan 20th ==== * {{ :math104-s22:s:fenmiao:lecture_2_jan_20_thu.pdf |Lecture 2 Notes}} * Rational Zero Theorem * Two Construction of ${\mathbb R}$ from ${\mathbb Q}$: 1) Dedekind cut 2) Sequence in ${\mathbb Q}$ * Completeness of ${\mathbb R}$ * Archaemedian property * Sequences and Limits ==== Jan 25th ==== * {{ :math104-s22:s:fenmiao:lecture_3_jan_25_tue.pdf |Lecture 3 Notes}} * Properties on Convergent Sequence * Operations on Convergent Sequence * Useful Examples of Limit ==== Jan 27th ==== * {{ :math104-s22:s:fenmiao:lecture_4_jan_27_thu.pdf |Lecture 4 Notes}} * Monotone Sequence * lim sup and lim inf * Graphical Trick of Recursive Sequence ===== Homework ===== * {{ :math104-s22:s:fenmiao:lecture_1_exercises.pdf |HW1}} * {{ :math104-s22:s:fenmiao:hw2.pdf |HW2}} * {{ :math104-s22:s:fenmiao:hw3.pdf |HW3}} * {{ :math104-s22:s:fenmiao:hw4.pdf |HW4}} * {{ :math104-s22:s:fenmiao:hw5.pdf |HW5}}