# 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