Math 224 Exam Information
Exam 1 will cover sections 1.1-1.6 and 2.1-2.3 in the textbook.
Here is a practice exam for Exam 1.
Solutions to the practice exam are now posted. Do not look at the solutions before making a serious effort to solve the problems yourself, taking some time, and going back later to try any problems you couldn't do the first time again. Doing the problems while looking at the answers renders them almost completely useless for taking an exam. Also, the presence or absence on the practice exam of a topic that we have covered in class or in the homework does NOT guarantee the presence or absence of that topic on the actual exam. The practice exam is meant to give you a sense of the format and level of questions that will be on the actual exam.
You should also review old homework problems and quizzes as preparation for the exam. Any of the following problems are also useful review problems:
1.2 #5, 7, 15
1.3 #15, 17, 45
1.4 #23, 27, 37, 41, 43
1.5 #7, 17, 21
1.6 #3, 5, 7, 9, 11, 14, 19, 23, 31
2.1 #1, 9, 12, 13, 23, 27
2.2 #1, 7, 11, 17
2.3 #1, 3, 5, 9, 13, 21
This Maple worksheet contains the Maple commands that you may need to use during the exam. You can find the Maple worksheet on the P: drive. From the P: drive, go to the Class directory, then Math, then Paquin, then Math224, and you will see the Maple worksheet MapleCommands.mw. You are free to open this worksheet (but NO OTHER INFORMATION) in Maple during the exam.
Exam 1 has been graded, and the results are as follows:
Median: 93
Mean: 91.5
Standard Deviation: 7.85
If grades were to be assigned solely on the basis of Exam 1, 70-79 would likely be a B-, 80-89 would likely be a B, and 90-100 would likely be an A.
Exam 1 Solutions
Exam 2 will cover sections 4.1-4.2, 4.3 (only p. 263-265 on computation of the determinant; NOT cramer's rule), 4.4, 5.1-5.2, 5.3 (only applications to systems of differential equations) in the textbook. You will be able to use Maple for Exam 2, but you must start the exam with a blank Maple worksheet.
Here is a practice exam for Exam 2.
Solutions to the practice exam are now posted. Do not look at the solutions before making a serious effort to solve the problems yourself, taking some time, and going back later to try any problems you couldn't do the first time again. Doing the problems while looking at the answers renders them almost completely useless for taking an exam. Also, the presence or absence on the practice exam of a topic that we have covered in class or in the homework does NOT guarantee the presence or absence of that topic on the actual exam. The practice exam is meant to give you a sense of the format and level of questions that will be on the actual exam.
You should review old homework problems and quizzes as preparation for the exam. Any of the following problems are also useful review problems:
4.1 # 19, 25, 37, 49
4.2 # 7, 15-21, 23, 27, 30, 31, 32
4.3 # 35a-f
4.4 # 9, 13, 15, 29, 31, 35
5.1 # 7, 11, 17, 23, 25
5.2 # 7, 11, 13, 14, 15, 17, 18, 19, 22,
5.3 # 9, 11
Exam 2 has been graded, and the results are as follows:
Median: 86
Mean: 84
Standard Deviation: 11.8
If grades were to be assigned solely on the basis of Exam 2, 60-70 would be a C, 71-74 would be a C+/B-, 75-80 would be a B, 81-85 would be a B+, 85-90 would be an A-, and 91-100 would be an A.
Exam 2 Solutions
Exam 3 will cover sections 6.1-6.4 and 3.1-3.3. See the Daily Objectives page for precisely which part of each section you are responsible for. As a general guideline, you are responsible for the following material:
- All of 6.1
- All of 6.2 except for Corollary 1 and Example 8
- 6.3: p. 349-352
- All of 6.4
- 3.1: Definition and examples of a vector space
- All of 3.2
- All of 3.3
You will be able to use Maple for Exam 3, but you must start the exam with a blank Maple worksheet. In particular, you can use the GramSchmidt command in Maple. You should also review old homework problems and quizzes as preparation for the exam. Any of the following problems are also useful review problems:
6.1 #1, 3, 5, 7, 9, 15, 17, 21, 25
6.2 #1, 3, 7, 9, 11, 17, 19, 21
6.3 #1, 3, 19a-f, 20, 21, 22, 23, 24
6.4 #1, 3, 7, 11, 13, 17, 18
3.2 #1-9, 11, 13, 15, 17, 19, 21, 23
3.3 #1, 3, 5, 7, 9, 11, 19
Here is a practice exam for Exam 3.
Solutions to the practice exam are now posted. Do not look at the solutions before making a serious effort to solve the problems yourself, taking some time, and going back later to try any problems you couldn't do the first time again. Doing the problems while looking at the answers renders them almost completely useless for taking an exam. Also, the presence or absence on the practice exam of a topic that we have covered in class or in the homework does NOT guarantee the presence or absence of that topic on the actual exam.
Exam 3 has been graded, and the results are as follows:
Median: 78
Mean: 81
Standard Deviation: 11.8
If grades were to be assigned solely on the basis of Exam 3, 60-64 would be a C, 65-70 would be a B, 71-77 would be a B+, 78-89 would be an A-, 90-95 would be an A, and 96-100 would be an A+.
Exam 3 Solutions
Here is some information about the final exam, including the types of questions that you should be prepared for and some relevant review problems. The final exam will be on Monday, December 17, from 1:30 pm until 4:30 pm in RBH 311.
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