# Math 182 - Calculus 2 ESP - Spring 2018

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.

- 16 January: review of calculus 1, fundamental theorem of calculus

- 18 January: fundamental theorem of calculus, working with integrals

- 23 January: more calculus 1 review, more working with integrals

- 25 January: even more working with integrals, emphasis on integration by substitution

- 30 January: an introduction to volumes of revolution by slicing (washers), area between curves

- 1 February: more volumes of revolution by slicing, applications thereof

- 6 February: more integration (of different sorts), introduction to integration by parts

- 8 February: integration by parts, a few conceptual integration questions

- 13 February: trigonometric integrals, more integration

- 15 February: partial fractions, some review of polynomials and work integrals

- 20 February: definite and improper integrals

- 22 February: some conceptual problems about Fourier transforms, review about surfaces of revolution

- 27 February: introduction to sequences and series

- 1 March: more about sequences

- 6 March: introduction to series, geometric series

- 8 March: working with series, understanding the integral test

- 13 March: an overview of all series tests, some conceptual questions and applications of series

- 15 March: introduction to power series and Taylor series

- 20 March: working with power series and Taylor series, intervals of convergence

- 22 March: physics applications of Taylor series and polynomail approximation

- 3 April: more Taylor series, review of trigonometric functions

- 5 April: more power series, numerical integration

- 10 April: introduction to parametric equations

- 12 April: more parametric equations, introduction to polar coordinates

- 17 April: working with polar coordinates and polar functions, problems about circles in the plane

- 19 April: introduction to linear systems

- 24 April: introduction to matrices

- 26 April: introduction to linear maps

- 1 May: mock final covering main topics of the semester

- Solutions to mock final