Click here for a PDF version of the info handout.
This is the second half of a year-long course known as "Intermediate Calculus: Linear Algebra and Calculus of Several Variables".
Class meets at: Goldsmith 117,
MW 1-2 PM and Th 1-3 PM
Lecturer: Dmitry Kleinbock
Office: Goldsmith 207, phone 6-3059
Office Hours: Tue 11 AM-12 noon or 3-4 PM or by appt.
E-mail address: kleinboc@brandeis.edu
Grader: Hsin-Hong Lai, hhlai@brandeis.edu
Text: MULTIVARIABLE
MATHEMATICS, 4th edition, by R. Williamson and H.
Trotter, Prentice Hall,
2003.
We will cover Chapters 4-9 with some omissions.
Chapters 1-3 contain an
exposition of background material in linear algebra, which is a
prerequisite for this course. Needless to say, the familiarity with
single-variable calculus is also assumed.
Quiz 1: Thursday, Febuary 2,
covering Section 4.1.
Quiz 2: Thursday, Febuary 17,
covering Sections 4.2-4.4.
Quiz 3: Thursday, March 2,
covering Sections 5.1-5.2.
Quiz 4: Thursday, March 9,
covering Sections 5.3-5.4.
Midterm: Thursday, March 16,
covering Chapters 4-5 and some of Chapter 6.
Click here for a PDF version of the midterm review sheet.
Quiz 5: Thursday, March 23,
covering Sections 6.4A-C.
Quiz 6: Thursday, April 6,
covering Sections 7.1-7.2.
Quiz 7: Wednesday, April 26,
covering Section 7.4.
Quiz 8: Monday, May 1,
covering Section 8.1.
Quiz 9: Wednesday/Thursday, May 3,
covering Sections 9.1-9.2.
Review Session: Thursday, May 4, 2:30 - 3:30
PM, Goldsmith 117.
Final Exam: Monday, May 8,
9:15 AM - 12:15 PM, Goldsmith 117.
Click here for a PDF
version of the final exam review sheet.
Homework assignments and deadlines:
| 1 | Problems 3, 4, 5, 7, 10, 11, 14, 15, 19, 21, (*) 33 in Section 4.1D | January 25 |
| 2 | Problems 23, 24, 25 in Section 4.1D; 2, 3, 4, 9, 11, 14, 25(b) in Section 4.1F; (*) compute the length of the piece of parabola y = x2/2, 0 < x < 1 (Hint: the easiest way is hyperbolic substitution, x = sinh u) | February 1 |
| 3 | Problems 3, 8, 11, 14, 20, 22, 25 in Section 4.2B; 8 in Section 4.2D; 2, 4, 8, 10 in Section 4.3C; (*) the hyperboloids x2 + y2- z2 = 1 and y2 + z2- x2 = 1 intersect in a curve in R3; identify the curve and make a sketch of it | February 8 |
| 4 | Problems 16, 17, 21, 23, 25, 30 in Section 4.3C; 2, 4, 5, 10, (*) 16 in Section 4.4B | February 15 |
| 5 | Problems 5, 6, 9, 10, 21, 22, 42ab(*)c in Section 5.1; 2, 7, 10, 16, 17, 18 in Section 5.2 | March 1 |
| 6 | Problems 2, 4, 8, 10, 12, (*) 20 in Section 5.3; 3, 4, 14, 18, 20, 22, 24, 26 in Section 5.4; 8, 9 in Section 6.1C | March 8 |
| 7 | Problems 20, 22, 27, 28 in Section 6.1C; 2, 6, (*) 10, 20, 24 in Section 6.2A; 2, 6, 7, 8, 17 in Section 6.4D | March 15 |
| 8 | Problems 10, 11, 12, 20, 24, 26, 27, (*) 31, 38 in Section 6.4D; 41, 42 in Chapter 6 Review | March 22 |
| 9 | Problems 4, 6, 10, 11, 12, (*) 17 in Section 6.4E; 1, 2, 20 in Section 7.1; 3, 7, 10 in Section 7.2 | March 29 |
| 10 | Problems 4, 8, 12, 16, 21 in Section 7.1; 2, 4, 8, 15, 17 in Section 7.2; (*) 6 in Section 7.3 | April 5 |
| 11 | Problems 1, 5, 6, 7, 10, 12, 14, 15, 26, (*) 27 in Section 7.4 | April 12 |
| 12 | Problems 2, 6, 7, 8, 11, 12, 13, 16, 17, (*) 23, 28, 30 in Section 8.1 | April 26 |
| 13 | Problems 1, 2, 6, 7 in Section 9.1, 4, 10, (*) 28 in Section 9.2; 1, 2, 3, 10, 12 in Chapter 9 Review | May 3 |
(*) stands for an optional problem.
Grades will be computed as follows:
| Midterm exam, in class | 20% |
| The final exam, as scheduled by registrar | 50% |
| Quizzes, once every 1-2 weeks | 15% |
| Graded homework | 10% |
| Instructor's discretion | 5% |
The dates of the midterm exam and quizzes will be announced in advance. Each quiz will take 15-20 min. Homework is assigned once every week and is due the following week. Late homework will not be accepted and there will be no make-up quizzes. Instructor's discretion is my subjective evaluation of student's competence, based mainly on class participation (answering questions in class) and bonus points (for optional problems or exceptionally thoughtful analysis of tests/homework).