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.

• Lecture 1 Notes
• Introduction to the course content
• Discussion about natural numbers, integers, and rational numbers
• First exposure to SpatialChat discussion

• 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

• Lecture 3 Notes
• Properties on Convergent Sequence
• Operations on Convergent Sequence
• Useful Examples of Limit

• Lecture 4 Notes
• Monotone Sequence
• lim sup and lim inf
• Graphical Trick of Recursive Sequence

• HW1
• HW2
• HW3
• HW4
• HW5