Class meetings
M - F, 12pm - 2pm in Haviland 12
Instructor
Leonard Tomczak
Email: first name DOT last name AT berkeley DOT edu
Office: Evans 835
Office Hours: MWF 11am-12pm (before lecture) in Evans 835.
bcourses
Gradescope
EdDiscussion
Worksheets
Review Sheet (Review sheet on calc I/algebra background that will be assumed)
Series 1, Solution sketches
Series 2, Solution sketches
Series 3, Solution sketches
Homework
Homework 1 (Due 06/30 23:59 on Gradescope)
Homework 2 (Due 07/07 23:59 on Gradescope)
Homework 3 (Due 07/14 23:59 on Gradescope)
Homework 4 (Due 07/21 23:59 on Gradescope)
Homework 5 (Due 07/28 23:59 on Gradescope)
Quizzes
Quiz 1, Solutions
Quiz 2, Solutions
Quiz 3, Solutions
Quiz 4, Solutions
Quiz 5, Solutions
Some external resources for 1B:
Mathematics Tutoring Program at the Student Learning Center (SLC) : Find community and academic support on campus at the SLC! The SLC offers free drop-in tutoring for all lower division courses. Tutoring services are offered Monday - Thursday from 12:00 - 4:00 pm. For more information visit the SLC Website here.
Alexander Paulin's website for Math 1B (Spring 25), with some resources such as lecture videos and past exam papers
Tau Beta Pi's folder with past exams
Hanson Hao's website with some handouts for Math 1B
Paul's Online Math Notes
Topics covered in lecture:
06/23: Integration by parts
06/24: Trig integrals (sin^n(x) * cos^m(x) and tan^n(x) * sec^m(x))
06/25: Trig substitution
06/26: Quiz 1, Partial fraction decomposition
06/27: More examples on partial fractions and other things (Tangent half angle substitution, complex numbers, some exercises in 7.5)
06/30: Numerical Integration: Midpoint, Trapezoid, Simpson's rule, and their error bounds
07/01: Improper integrals, comparison tests
07/02: Arc length
07/03: Quiz 2, Area of surfaces of revolution
07/04: No class
07/07: Centroid/Center of mass; Differentiation under the integral/Feynman's trick (this topic is not in scope for the quizzes/exams)
07/08: Probability density functions, expected value, variance, median, uniform distribution, normal distribution, exponential distribution
07/09: Sequences, limits, L'Hopital's rule, squeeze lemma
07/10: Quiz 3, Started with series: Geometric series, harmonic series, limit test, telescope series
07/11: Midterm 1
07/14: Integral test, error term bound, p-series
07/15: Comparison test, limit comparison test
07/16: Alternating series test, error bound for alternating series, absolutely/conditionally convergent series
07/17: Quiz 4, Ratio and root tests
07/18: Rearrangements of conditionally/absolutely convergent series, examples on testing series for convergence
07/21: Power series, Radius/Interval of convergence
07/22: Differentiation/Integration of power series, power series expansions of ln, arctan
07/23: Taylor/MacLaurin series, power series expansions of exp, sin, cos, binomial series, Taylor's inequality
07/24: Computation of limits using power series, approximations using Taylor polynomials and error bound, Products/Quotients of power series