With the semester finally over, I think I’ve managed to get a good grasp of the differences between the current courses - Math 1225, Math 1228 and Math 1229 - and the former Math 28, Math 30 and Math 31.
Math 28 was a single semester course covered the basics of Probability.
Math 30 contained a semester of Calculus and a semester of Linear Algebra.
Math 31 contained a semester of Linear Algebra & Logic and a semester of Probability.
The probability sections from Math 28 and Math 31 were identical. They covered the bulk of the first four chapters in the textbook. That probability section is now Math 1228. As far as I know the material is the same.
The Calculus section of Math 30 has been turned into Math 1225. The material is the same, except that Math 30 covered 16.1, 16.2 and 16.3 - applying calculus concepts to probability. So, Math 1225 is slightly easier than the calculus portion of Math 30 because of this omition.
The Linear Algebra sections of Math 30 and Math 31 covered different units. In Math 30, chapters 2 through 5 were covered. In Math 31, chapters 1 through 4 were covered. The linear algebra sections have been turned into Math 1229. The linear algebra portion of Math 30 was harder than Math 1229 since more advanced concepts were covered. Math 31 was also harder because, in addition to linear algebra, an extra mini-section on logic was also covered in the same semester. Math 1229 takes the material normally covered in 2/3 of a semester of Math 31 and expands it into a full semester for Math 1229.
So, it appears that the re-calibrated courses are easier than the old ones.
Looking back even further into the past, the testing procedures were different. Last year, and the year before, tests were limited to a single topic. In Math 30, this meant either calculus or linear algebra. In Math 31, either linear algebra, or probability. The exception was the midyear exam which contained both logic and linear algebra. However, further into the past, tests regularly contained a mix of the two major topics in each course. Which goes against common sense. Problems in calculus have nothing to do with problems in linear algebra and the same is true with linear algebra and probability.
At least it seems that the courses are progressively moving towards a more logical setup.
But there’s still more improvements that can be made. In Math 1229, the second test covered inverses. A typical question asked a student to determine the value of k for which there was (or wasn’t) an inverse. The standard method of doing this (and the first one that comes to my mind) involves using determinants. But, the test was given before determinants were even taught. So, students were left to solve these using less efficient methods. This was pretty frustrating. I just took people through a quick overview of determinants before they would normally have been taught. And we used that method for the inverse problems.
The testing patterns have changed in Math 1225 as well. Previously, there was a test and an exam. Now there will be two tests and an exam. I’m sure that’ll bring up some surprises, too.