Syllabus for Math 380, Section X1, Fall 2005

Advanced Calculus

• Professor: Eugene Lerman
• Office: 336 Illini Hall
• Phone: (217) 244-9510
• email: lerman at math.uiuc.edu (the best way to contact Eugene Lerman)
• Home page: http://www.math.uiuc.edu/~lerman
• Course page: http://www.math.uiuc.edu/~lerman/380/sylX1.html
• Office Hours: to be arranged and by appointment
• Class meets:
• MWF  12 pm, 148 Henry
• Prerequisites: Math 242 or 243 or equivalent.

We will study 1.6 (n-dimensinal geometry, linear maps, determinants), 2.1-2.6 (differentiation of functions of several variables) , 3.3-3.4 (vector fields; gradient, curl and divergence operators), 4.1-4.3 (maxima and minima, Lagrange multipliers), 5.1-5.4 (double and triple integrals) [lightly], 5.5 (change of variables), 6.1-6.3 (line integrals), 7.1-7.4 (surface integrals; theorems of Stokes and Gauss), 8.1-8.3 (differential forms, manifolds, generalized Stokes's theorem).

• Homework: Homework problems are to be assigned once a week. They are due on Monday of the following week. No late homework will be accepted.
• Exams: There will be quizzes, a midterm and a final. You have to pass the final to pass the course. All exams will be closed book. The midterm will take place on October 12 (the date is subject to change). The final, according to the non-combined final examination schedule is to take place on Monday, Dec 12, 7-10pm in the regular classroom.

• Grade: The formula for the course grade is roughly as follows:
• final exam = 40%
• 1 midterm = 30%
• homework, quizzes, class participation etc = 30%
There will be NO CURVE