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

prepare for midterm 3
Friday
April 21 		Tuesday
April 25		 Section 10.1:
2, 3, 4, 7, 10
Week 14
Monday
April 24 		Tuesday
May 2		 Section 10.1:
17, 19, 20, 27, 28, 32
Wednesday
April 26 		Tuesday
May 2		 Section 10.2:
3, 5, 9, 21, 24
Friday
April 28 		Tuesday
May 2		 Section 10.3
6, 8, 12, 14, 19, 20
Week 15
Monday
May 1
Section 10.3
10, 25, 31, 33
Wednesday
May 3 		Prepare for final
Friday
May 5 		Prepare for final
Final is on Monday, May 8, 1:30-4:30. Must bring your student ID.
Rooms for the final:
Section Room
Dis 011, 014 Hanson Hall 1 - 102
Dis 012, 013 Hanson Hall 1 - 104
Dis 015 Hanson Hall 1 - 103
Dis 021, 024 Hanson Hall 1 - 106
Dis 022, 023 Hanson Hall 1 - 108