# 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