## Math 114 Calculus II

Spring 2018

MWF 12:00-12:50 pm

Funkhouser Bldg Rm.200

Instructor: Mihai Tohaneanu

Office: POT 749

Office hours: Wednesday 9:00 am -10:30 am and Thursday 2:30 pm - 4:00 pm or by appointment

Email: mihai.tohaneanu@uky.edu

### Textbook

- Calculus (8th edition), by James Stewart.

Syllabus

The main page of the course can be found here. In particular, here is the very detailed Full Syllabus. Make sure to read both the main webpage and the full syllabus carefully, as they contain all the pertinent information, including grading policy, homework, exam dates and places etc. Make sure to monitor both this page and the main page for future announcements.
### Lecture notes

Integration by parts

Trigonometric Integrals

Trigonometric Substitution

Rational Functions part 1

Rational Functions part 2

Approximate Integration part 1 Spreadsheet comparing the methods

Approximate Integration part 2 Spreadsheet with Simpson's Rule

Improper Integrals

Sequences Handwritten notes

Sequences by recursion

Review midterm 1

Series

More Series

The Integral Test

The Comparison Tests

Alternating Series Tests

Absolute Convergence and the Ratio Test

The Root Test, Strategies for Testing Series

Power Series

Functions as Power Series

Taylor and Maclaurin Series

Taylor Series, Review for Midterm 2

Review for Midterm 2

Average of a function

Volumes

Disk and Washer methods

Cylindrical Shells method

Length of a curve

Surface area

Moments and Centers of Mass

Parametric Curves

Calculus With Parametric Curves

Polar Coordinates

Review for Midterm 3

Review for Midterm 3

Areas and Lengths in Polar Coordinates

Conic Sections Part 1

Conic Sections Part 2

Modeling with Differential Equations

Direction Fields and Euler's Method

Separable Equations

Review 1

Review 2

### Midterm dates

Feb. 6, March 6, April 10 5:00-7:00 PM. See main page for more details.

### Final

May 2 6:00-8:00 PM