MATH 141: CALCULUS II

SECTION 0101, SUMMER I, 2009

COURSE OUTLINE

Instructor: Paul J. Smith, Statistics Program

Office hours: MTWTF 11:00-12:00, MTH 1107

Telephone: (301) 405-5061

E-mail: pjs@math.umd.edu

Schedule: Summer I, 2007, MTWTF 11-12:20, MTH B0425

Tutoring schedule: MTWTF 12:30-2:30, MTH 0409. Note change of room, effective July 13.

Textbook: Ellis, R. and Gulick, D. (2006). Calculus (6th edition). Brooks/Cole.

Prerequisite: MATH 140: Calculus I.

Course Description:

Continuation of MATH 140. The course will cover Chapters 6-10 in the 6th edition of Ellis and Gulick, except 6.6, 7.4, 8.5, 9.10, and 10.3-5, along with the material in the complex variables handout on the Math 141 course page. Note: Credit will only be given for one of Math 141 and Math 221.

Topics:

VI. Applications of the Integral: Volume, length of a curve, area of a surface, work, moments and centers of gravity, parametrized curves, and lengths of curves given parametrically.

VII. Inverse Functions, L'Hopital's Rule, and Differential Equations: Inverse functions, exponential and logarithmic functions, l'Hopital's rule, and introduction to differential equations.

VIII. Techniques of Integration: Techniques of integration, including integration by parts, trigonometric substitutions, and partial fractions; trapezoidal and Simpson's rules; improper integrals.

IX. Sequences and Series: Sequences and convergence of sequences, infinite series and convergence tests for series, Taylor polynomials and Taylor series, complex numbers and complex series.

X. Curves in the Plane: Polar coordinates, and length and area in polar coordinates.

Examinations and Grading:

Midterms: There will be three midterms, on Friday, June 12, Friday, June 26 and Friday, July 10. Each midterm will count about 17% toward the final course grade. Click here for solutions to first exam.
Final exam: The final is scheduled for Friday, July 24, from 8:00 until 9:20. It will be comprehensive and will count about 30% toward the course grade.

Homework: You should be able to solve all problems in the textbook which deal with material covered in the course. Although some problems will be assigned as homework, collected and graded, you should not assume that solving only assigned problems will prepare you for tests. Homework will count about 10% toward the course grade and will not be accepted late. Click here for homework assignments.

Quizzes: Everyone loves surprises! Quizzes will count about 10% toward the course grade. The lowest two quiz grades will be dropped from your quiz average. No makeup quizzes will be given.