Math 1B
Math 1B, UC Berkeley, 2024
Hi, I’m Leo Villani. Here are the resources I use / mention in discussion section this spring!
(I also taught this course in Fall 2023 see below).
Logistics
- Lecture: TuTh 2:00–3:30 PM — Wheeler Auditorium
- Discussion 1: MoWeFr 11:00–12:00 PM — Dwinelle 109
- Discussion 2: MoWeFr 12:00–1:00 PM — Dwinelle 254
- Office Hours: Mon 4–5 PM, Wed 3–4 PM — Evans 860
- Midterms: 2/15, 3/21
- Final Exam:
- Lec 001: 5/08 11:30 AM–2:30 PM
- Lec 002: 5/06 11:30 AM–2:30 PM
Location TBD
Links:
Textbook
Quizzes
Exam Resources
Weekly Schedule
Week 1: 1/15 – 1/19
Worksheets
Readings this week
- Jan 15: Review Video (No Section)
- Jan 17: Integration by Parts. Textbook: 7.1
- Jan 19: Rational Integrals. Textbook: 7.4
Assignments
Week 2: 1/22 – 1/26
Worksheets
Readings this week
- Jan 23: Trig Integrals. Textbook: 7.2
- Jan 25: Trig Substitution. Textbook: 7.3
Assignments
Week 3: 1/29 – 2/02
Worksheets
Readings this week
- Jan 30: Strategies of Integration. Textbook: 7.5
- Feb 1: Approximate Integration. Textbook: 7.7
Assignments
Week 4: 2/05 – 2/09
Worksheets
Readings this week
- Feb 5: Errors and Approximate Integration. Textbook: 7.7
- Feb 7: Improper Integrals. Textbook: 7.8
Assignments
Week 5: 2/12 – 2/16
Worksheets
- Worksheet 7 continued
- Study for Midterm!
Readings this week
- Feb 13: Sequences and Series. Textbook: 11.1, 11.2
- Feb 15: Midterm 1
Assignments
Week 6: 2/19 – 2/23
Worksheets
Readings this week
- Feb 20: Divergence + Integral Tests. Textbook: 11.2, 11.3
- Feb 22: Comparison + Alternating Series Tests. Textbook: 11.4, 11.5
Assignments
Week 7: 2/27 – 2/29
Worksheets
Readings this week
- Feb 27: Absolute Convergence; Ratio/Root Tests. Textbook: 11.6
- Feb 29: Strategies for Series Testing. Textbook: 11.7
Assignments
Week 8: 3/04 – 3/08
Worksheets
- Worksheet 13
- Worksheet 13 Sols
- Worksheet 14
- Worksheet 14 Sols
- Worksheet 15
- Worksheet 15 Sols
- Worksheet 16
- Worksheet 16 Sols
Readings this week
- Mar 5: Power Series. Textbook: 11.8
- Mar 7: Representing Functions as Power Series. Textbook: 11.9
Assignments
Week 9: 3/11 – 3/15
Worksheets
Readings this week
- Mar 12: Taylor and Maclaurin Series. Textbook: 11.10
- Mar 14: Taylor and Maclaurin Series. Textbook: 11.10
Assignments
Week 10: 3/18 – 3/22
Worksheets
Readings this week
- Mar 19: Differential Equations and Direction Fields. Textbook: 9.1, 9.2
- Mar 21: Midterm 2
Assignments
Week 11: 4/01 – 4/05
Worksheets
Readings this week
- Apr 2: Separable equations; population growth models. Textbook: 9.3, 9.4
- Apr 4: Linear equations. Textbook: 9.5