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| ====== Fenmiao Zhong ====== | ====== Fenmiao Zhong ====== | ||
| - | Hi, I major in MCB and applied math, and minor in Bioengineering. I have taken Math 53, Math 54, Math 55, and Math 110 in previous semesters. This is my second upper-division math course. | + | Hi, I am a sophomore majoring |
| ===== Course Journal ===== | ===== Course Journal ===== | ||
| ==== Jan 18th ==== | ==== Jan 18th ==== | ||
| + | * {{ : | ||
| * Introduction to the course content | * Introduction to the course content | ||
| * Discussion about natural numbers, integers, and rational numbers | * Discussion about natural numbers, integers, and rational numbers | ||
| * First exposure to SpatialChat discussion | * First exposure to SpatialChat discussion | ||
| - | ===== Notes and Homework ===== | + | ==== Jan 20th ==== |
| + | * {{ : | ||
| + | * 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 | ||
| + | |||
| + | ==== Jan 25th ==== | ||
| + | * {{ : | ||
| + | * Properties on Convergent Sequence | ||
| + | * Operations on Convergent Sequence | ||
| + | * Useful Examples of Limit | ||
| + | |||
| + | ==== Jan 27th ==== | ||
| + | * {{ : | ||
| + | * Monotone Sequence | ||
| + | * lim sup and lim inf | ||
| + | * Graphical Trick of Recursive Sequence | ||
| + | |||
| + | ===== Homework ===== | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||