Mathematics 2243 (Linear Algebra and Differential Equations)



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Prerequisites: Math 1272, or 1282, or 1372, or 1572.

Required text: Differential Equations and Linear Algebra, 3rd edition by Edwards and Penney.

Course content: This course consists of two related parts, linear algebra (matrices, determinants, Gaussian elimination, vector spaces, eigenvalues, diagonalization) and ordinary differential equations (linear equations, Wronskian, solution by eigenvalues and eigenvectors). We will cover most of chapters 1, 2, 3, 4, 5, 6, 7 and 10.

Homework: Homework will be assigned in class every day and the assignment will be posted on the course page. Homework will not be collected and graded. Yet doing homework is absolutely indispensable for success in the course. Problems on quizzes and exams will be very similar to the homework problems.

Quizzes: A quiz will be given every Tuesday starting September 9. It will be based on the homework assigned during the preceding week. You cannot make up a quiz. Two lowest quiz scores will be dropped.

Exams: There will be three midterm exams in discussion sections on Thursdays, October 2 and October 30 and on Tuesday, December 2. There will be a final exam on Friday, December 12, 1:30 - 4:30pm, room to be announced.

Make up exams: Will be allowed only under truly exceptional circumstances. You must notify the lecturer, not the TA, at least a week in advance.

Calculators: Basic scientific calculators are allowed in exams and quizzes. These are calculators that can evaluate trigonometric, exponential and logarithmic functions. Graphing calculators or calculators that can do symbolic manipulations will not be allowed during exams and quizzes.

Final grade: Quizzes count for 25%, each of the midterm exams for 15% and the final exam for 30%.

Lecture date Quiz date Homework assignment
Week 1
Wednesday
September 3 		Tuesday
September 9 		Section 1.1:
3, 5, 17, 19
Section 1.2:
3, 11, 25, 27
Friday
September 5 		Tuesday
September 9 		Section 1.3:
1, 13
Section 1.4:
1, 5, 13, 15
Week 2
Monday
September 8 		Tuesday
September 16 		Section 1.4:
23, 27, 29, 33, 37, 41, 53
Wednesday
September 10 		Tuesday
September 16 		Section 1.5:
1, 5, 7, 15, 25, 33, 37
Friday
September 12 		Tuesday
September 16 		Section 2.1:
2, 9, 10, 15, 16, 21, 32
Week 3
Monday
September 15 		Tuesday
September 23 		Section 2.3:
2, 4, 7, 10, 11, 13, 15, 16
Wednesday
September 17 		Tuesday
September 23 		Section 2.3:
21, 23
Friday
September 19 		Tuesday
September 23 		Section 2.4:
1, 3, 5
Week 4
Monday
September 22 		Tuesday
September 30 		Section 2.5:
1, 5
Wednesday
September 24 		Tuesday
September 30 		Section 3.1:
3, 5, 9, 11, 15, 17, 20, 22
Friday
September 26 		Tuesday
September 30 		Section 3.1:
25, 29
Section 3.2:
5, 7, 13, 15
Week 5
Monday
September 29 		Tuesday
October 7 		Section 3.3:
1, 9, 18, 32, 34
Wednesday
October 1 		Prepare for midterm 1
Friday
October 3 		Tuesday
October 7 		Section 3.4:
2, 4, 6, 8, 10, 17, 19, 20, 31, 32
Week 6
Monday
October 6 		Tuesday
October 14		 Section 3.5:
2, 4, 5, 36, 37
Wednesday
October 8 		Tuesday
October 14		 Section 3.5:
10, 12, 15, 22
Friday
October 10 		Tuesday
October 14 		Section 3.6:
2, 4, 12, 14, 16, 19
Week 7
Monday
October 13 		Tuesday
October 21		 Section 3.6:
29, 36
Wednesday
October 15 		Tuesday
October 21		 Section 4.2:
4, 5, 7, 8, 17, 18
Friday
October 17 		Tuesday
October 21		 Section 4.3:
1, 4, 10, 12, 19, 24
Week 8
Monday
October 20 		Tuesday
October 28 		Section 4.4:
2, 5, 8, 9, 18, 19
Wednesday
October 22 		Tuesday
October 28		 Section 5.2:
2, 9, 14, 15, 22, 27, 28, 29, 33, 34
Friday
October 24 		Tuesday
October 28		 Section 5.3:
3, 11, 15, 20, 23, 27, 35
Week 9
Monday
October 27 		Tuesday
November 4 		Section 5.4:
2, 3, 15, 17, 18
Wednesday
October 28 		prepare for midterm 2
Friday
October 31 		Tuesday
November 4 		Section 5.5:
10, 12, 14, 16, 23, 27, 37, 39
Week 10
Monday
November 3 		Tuesday
November 11		 Section 5.5:
54, 55
Wednesday
November 5 		Tuesday
November 11		 Section 5.6:
1, 3, 4, 6, 15, 17
Friday
November 7 		Tuesday
November 11		 Section 6.1:
1, 2, 13, 20, 22, 33, 34, 36, 37
Week 11
Monday
November 10 		Tuesday
November 18		 Section 6.2:
1, 3, 9, 10, 16, 17, 21, 30, 32, 33
Wednesday
November 12 		Tuesday
November 18		 Section 7.1:
1, 3, 6, 7, 17, 18
Section 7.2
6, 7, 15, 18
Friday
November 14 		Tuesday
November 18		 Section 7.2:
23, 24, 28, 30, 32, 33
Week 12
Monday
November 17 		Tuesday
November 25		 Section 7.3:
2, 3, 12, 13 (no graphing), 18, 19
Wednesday
November 19 		Tuesday
November 25		 Section 7.3:
10, 11, 25, 26
Friday
November 21 		Tuesday
December 25		 Section 7.4:
2, 5, 6, 12, 13
Week 13
Monday
November 24 		Tuesday
December 2		 Section 7.4:
8, 9
Wednesday
November 26 		Tuesday
December 2		 Section 10.1:
2, 3, 4, 7, 10, 12, 17, 19, 20, 27, 28, 32
Week 14
Monday
December 1

prepare for midterm 3
Wednesday
December 3 		Tuesday
December 9		 Section 10.2:
3, 5, 9, 21, 24
Friday
December 5 		Tuesday
December 9		 Section 10.3
6, 8, 12, 14, 19, 20
Week 15
Monday
December 8
Section 10.3
10, 25, 31, 33
Wednesday
December 12 		Prepare for final
Final is on Friday, December 12, 1:30-4:30.
Rooms for the final:
Discussion groups 21, 22, 23, 24, 25 - in Smith Hall 100.
Discussion groups 31, 34, 35 - in Smith Hall 231.
Discussion groups 32, 33 - in Smith Hall 331.
Must bring your student ID.