# Math 182 - Calculus 2 ESP - Spring 2017

Other offerings of this course: Spring 2015, Spring 2017, Spring 2018

Section: 37187
Time/location: 9:00 AM - 10:50 AM Tuesdays & Thursdays, Taft Hall 300
Instructor: Janis Lazovskis (website, email)
Hours in MSLC: Tuesdays 1:00 PM - 3:00 PM

Class description: Syllabus
Departmental course website: MSCS department

### Worksheets

Below are worksheets of some of the problems given in the ESP workshops. Not all the problems that were presented in class are included below.

- 10 January: review of calculus 1, fundamental theorem of calculus
- 12 January: fundamental theorem of calculus, working with integrals
- 17 January: more calculus 1 review
- 19 January: substitution, area between curves
- 24 January: area between curves, integrating volumes of revolution by washers and shells
- 26 January: volumes of revolution, applications of volumes of revolution
- Mathematica notebook to help visualize volumes of revolution, via shells and washers
- 31 January: volumes of revolution, integration by parts
- 2 February: integration by parts
- 7 February: more work with integrals, partial fraction decomposition
- 9 February: refresher on polynomials, review for first midterm
- 14 February: calculating definite and improper integrals
- 16 February: miscellaneous topics (a taste of Fourier transforms and an aplication of volumes of revolution)
- 21 February: working with sequences
- 23 February: sequences and series
- 28 February: convergence (and divergence) tests for series
- 2 March: exponential series, approximations, polynomials
- 7 March: Taylor series and power series
- 9 March: more Taylor series and power series
- 14 March: even more Taylor series and power series, some trigonometric integrals
- 16 March: a real-world application of polynomial approximation
- 27 March: polar coordinates and parametric equations
- 29 March: more polar coordinates and parametric equations, plus some series
- 4 April: doing calculus in polar coordinates, mostly with circle geometry
- 6 April: an introduction to linear algebra and systems of linear equations
- 11 April: an introduction to matrices
- 13 April: polar coordinates using matrices and Euler's formula
- 18 April: linear maps, eigenvalues, and eigenvectors
- 20 April: exploring the geometric properties of matrices
- 25 April: review
- Solutions to review