This is the first half of a year-long course known as "Intermediate Calculus". The second half, Math 21b - Calculus of Several Variables, will be offered in Spring 2007; a substantial part of this semester's material will be used in that course.
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: Wed 2-3:30 PM or by appt.
E-mail address: kleinboc@brandeis.edu
Grader:
Tathagata Sengupta tsg@brandeis.edu, office hours: Fr
3-4 PM in Goldsmith 106 or by appt.
Class Home Page: http://people.brandeis.edu/~kleinboc/22a/intro.html
Text: LINEAR
ALGEBRA, 3rd edition, by J. Fraleigh and R. Beauregard,
Addison Wesley, 1995.
We will
cover Chapters 1-6 with some omissions.
The Final Exam Review Session: Thursday, December 7, 1-2 PM.
The Final Exam:
Monday, December 11, 9:15 AM - 12:15 PM. Click here for a PDF version of the review
sheet.
Quiz 1: Thursday, September 14, on
Sections 1.1, 1.2, 1.3.
Quiz 2: Thursday, September 21, on
Section 1.4.
Quiz 3: Thursday, October 5, on
Sections 1.5-1.6.
Quiz 4: Wednesday, October 11, on
Sections 2.1-2.2.
Midterm 1: Monday, October 16,
on Sections 1.1-1.6 and 2.1-2.2. Click here for a PDF version of the review
sheet.
Quiz 5: Thursday, October 26, on
Sections 3.1-3.3.
Quiz 6: Wednesday, November 15, on
Sections 4.1-4.3.
Midterm 2: Monday, November 20,
on Sections 2.3, 3.1-3.4 and 4.1-4.4. Click here for a PDF version of the review
sheet.
Quiz 7: Wednesday, November 29, on
Section 5.1-5.2.
Quiz 8: Monday, December 4, on
Section 6.1.
Homework assignments and deadlines:
| 1 | Problems 2, 10, 22, 28, 29, 30, 34, 36, (*) 42 in Section 1.1; 4, 6, 8 in Section 1.2 | September 7 |
| 2 | Problems 14, 22, 23, 43 in Section 1.2; 12, 13, 32, 39, 43, (*) 44, 45, 46 in Section 1.3 | September 14 |
| 3 | Problems 3, 6, 8, 16, 20, 22, 24, 28, 38, 49, 50, 57, (*) 58 in Section 1.4 | September 21 |
| 4 | Problems 4, 7, 12, 14, 16, 17, 21, 22, 26, (*) 28 in Section 1.5; 2, 8 in Section 1.6 | September 28 |
| 5 | Problems 18, 24, 26, 32, 34, 37, 47 in Section 1.6; 10, 13, 14, 24, 32, (*) 37 in Section 2.1 | October 5 |
| 6 | Problems 26, 27, 38 in Section 2.1; 3, 4, 10, 12, 13, (*) 14-15 in Section 2.2; 4, 9, 12 in Section 2.3 | October 12 |
| 7 | Problems 14, 19, 22, 27, 34 in Section 2.3; 2, 3, 12, 14, 17, 21 in Section 3.1; (*) Let T be a linear transformation from Rn to Rm which is both injective and surjective (that is, Kernel(T) = {0} and Range(T) = Rm). Prove that m = n. Hint: Look at the standard basis of Rn! | October 19 |
| 8 | Problems 23, 24 in Section 3.1; 2, 12, 19, 20, 21, 23 in Section 3.2; 4, 6, 8, (*) 20 in Section 3.3 | October 26 |
| 9 | Problems 2, 8, 18, 20, 21, 24, 26, (*) 48 in Section 3.4; 20, 26, 29, 32 in Section 4.1 | November 2 |
| 10 | Problems 4, 7, 14, 38, 48, 50, (*) 55 in Section 4.1; 8, 18, 22, 29 in Section 4.2; 4, 7, 8 in Section 4.3 | November 9 |
| 11 | Problems 16, 28, 32, 38 in Section 4.3; 2, 16, 21, 24 in Section 4.4; 1, 2, 8, 18, 22, (*) 25 in Section 5.1 | November 16 |
| 12 | Problems 2, 4, 10, 11, 12, 14, (*) 15 in Section 5.2; 1, 2, 3 (parts a,c,d) in Section 5.3 | November 29 |
| 13 | Problems 4, 6, 8, 11, 17, 18 in Section 6.1; 4, 5, 6, 7, 14, (*) 31 in Section 6.2 | December 4 |
(*) stands for an optional problem.
Grades will be computed as follows:
| Two midterm exams, in class, dates TBA | 30% |
| The final exam, as scheduled by registrar | 40% |
| Quizzes, once every 1-2 weeks | 15% |
| Graded homework | 15% |
The dates of the midterm exams and quizzes will be announced in advance. Each quiz will take 15-20 min. Homework is assigned once a week and is due the following week. Late homework will not be accepted and there will be no make-up quizzes. Other parameters, such as class participation (answering or asking questions in class) and bonus points (for optional problems or exceptionally thoughtful analysis of tests/homework) will also affect the students' performance.