MATH 222 HOMEPAGE

Instructor: Alexandru Ionescu, ionescu@math.wisc.edu
Lectures: MWF 9:55-10:45 in Room B-130
Textbook: Thomas' Calculus, eleventh edition (including second-order differential equations)
Office hours: MW 3-4 or by appointment in Office 619

Information
Problem set 1. Due on Thursday, January 31. Graded exercises: (8.1) 12, 38, 58, 77; (8.2) 4, 29, 30; (8.3) 18, 22, 35.
Quiz 1. On Thursday, February 7. Covers sections 8.4, 8.5, and 8.7.
Problem set 2. Due on Thursday, February 14. Graded exercises: (8.8) 16, 32, 58; (Practice Exercises) 40, 107, 112, 133; (10.1) 26, 32, 40.
Quiz 2. On Thursday, February 21. Covers sections 10.2, 10.3, 10.4.
Midterm Exam 1. On Friday, February 29, in class. Covers Chapters 8 and 10. Formula sheet. Some practice exercises.
Problem set 3. Due on Thursday, March 13. Graded exercises: (11.1) 22, 46, 59, 81; (11.2) 18, 28, 64; (11.3) 6, 16, 35.
Quiz 3. On Thursday, March 27. Covers sections 11.4, 11.5, 11.6. Some practice exercises.
Problem set 4. Due on Thursday, April 3. Graded exercises: (11.7) 10, 35, 47; (11.8) 7, 24, 34; (11.9) 14, 19, 22, 50.
Quiz 4. On Thursday, April 10. Covers sections 11.10, 9.1, 9.2. Some practice exercises.
Midterm Exam 2. On Friday, April 18, in class. Covers Chapter 11, Sections 9.1, 9.2, and Sections 17.1, 17.2. Formula sheet. Some practice exercises.
Problem set 5. Due on Thursday, May 1. Graded exercises: (17.2) 28, 59; (17.3) 9, 14; (17.5) 7, 10; (12.1) 6, 17, 20, 55.
Quiz 5. On Thursday, May 8. Covers sections 12.2, 12.3, 12.4. Some practice exercises.
FINAL EXAM. On Wednesday, May 14, at 7:25 PM in CHEM 1361. Formula sheet. Some practice exercises.

The Mathematics Tutorial Program

The Greater University Tutoring Service


Course schedule:
Week 1 (Jan. 23 - Jan. 25): Basic integration formulas and integration by parts (Reading: 8.1, 8.2).
Week 2 (Jan. 28 - Feb. 1): Integration of rational functions, trigonometric integrals, trigonometric substitutions (Reading: 8.3, 8.4, 8.5).
Week 3 (Feb. 4 - Feb. 8): Numerical integration, improper integrals, review of Chapter 8 (Reading: 8.7, 8.8).
Week 4 (Feb. 11- Feb. 15): Conic sections, eccentricity of conic sections, quadratic equations and rotations (Reading: 10.1, 10.2, 10.3).
Week 5 (Feb. 18 - Feb. 22): Parametric equations, polar coordinates, graphing in polar coordinates (Reading: 10.4, 10.5, 10.6).
Week 6 (Feb. 25 - Feb. 29):  Areas and lengths in polar coordinates, conic sections in polar coordinates (Reading: 10.7, 10.8).
Week 7 (Mar. 3 - Mar. 7): Sequences and series (Reading: 11.1, 11.2).
Week 8 (Mar. 10 - Mar. 14): Tests for convergence: the integral test, the comparison test, the ratio test, the root test (Reading: 11.3, 11.4, 11.5).
Week 9 (Mar. 24 - Mar. 28): Alternating series, absolute/conditional convergence, power series, the Taylor series (Reading: 11.6, 11.7, 11.8).
Week 10 (Mar. 31 - Apr. 4): Convergence of Taylor series, applications of power series, first order separable ODEs (Reading: 11.9, 11.10, 9.1).
Week 11 (Apr. 7 - Apr. 11): First order linear ODEs and applications, second order linear homogeneous ODEs (Reading: 9.2,  17.1). 
Week 12 (Apr. 14 - Apr. 18): Second order linear nonhomogeneous ODEs (Reading: 17.2).
Week 13 (Apr. 21 - Apr. 25): Variation of parameters, applications of linear second order ODEs, power-series solutions (Reading: 17.2, 17.3, 17.5).
Week 14 (Apr. 28 - May 2): Three-dimensional coordinate systems, vectors, the dot product (Reading: 12.1, 12.2, 12.3).
Week 15 (May 5 - May 9): The cross product and applications, lines and planes in space (Reading: 12.4, 12.5).