It has been another very busy week. Feels like I’ve been working non-stop on Calculus. My wife would agree. Last Saturday I had my second exam. If I could actually copy an equation correctly I would have had a much better score, but unfortunately a careless mistake cost me an A on the exam. Extremely frustrating and disappointing, but hopefully I’ll be able to do better on the next Exam coming up on the 30th.
This week, lectures continued the Multiple Integral discussion and have focused on
- Double Integrals in Polar Coordinates
- Triple Integrals
- Triple Integrals in Cylindrical Coordinates
- Triple Integrals in Spherical Coordinates
I’m still ahead on homework and have been averaging one section per day. I have definitely had a number of very late nights to maintain that pace. A lot of the problems from the homework have centered around finding or changing the order of integration and being able to move between Cartesian, Polar, Cylindrical and Spherical Coordinate systems. I find it fascinating to see how a complicated integral can be tamed by switching to a different coordinate system.
I definitely have developed a love/hate relationship with multiple integral equations. It is great when you’re able to get the answer after chugging away at a problem for 20 minutes, but to balance that out, when you’re wrong, I find it takes me 20 or 30 minutes to find where I’m off. Definitely had to use a few new swear word combinations over the past few days. Usually a missed sign or forgetting to divide by something. As I’ve been practicing problems for this Saturdays 3rd exam, hopefully I’ll be ready.
These six week summer classes move so quickly. Almost done though, one more chapter with 7 sections and a final exam after Saturday.
Another very busy week. Saturday 7/23 we have Exam 2 which will be worth 25% of my grade so a lot of this week has been spent reviewing the Chapter 11 topics on Partial Derivatives and all that goes with those. Lecture topics this week included:
- Gradient and Directional Derivatives
- Maximum and Minimum Values
- Double Integrals over Rectangles
- Double Integrals over General Regions
I have enjoyed most of the partial derivative problems and even had an electrical engineering problem thrown into the homework set. I was quite pleased with myself when I solved it on my first attempt. Some problems have definitely required multiple attempts over the past few homework sets.
I’ve been working ahead and started in on the multiple integral material in chapter 12 and have gotten into some of next week’s topic already. Those have definitely been challenging and very time consuming. I will certainly need a lot more practice on those and need to review some of the MAT 266 integration techniques such as integration by parts and substitution. Saturday 7/30 I have another Exam which is also 25% of my grade covering all of the multiple integral materials so no rest at all over the next few weeks.
If I remember correctly at UC Riverside, ASU’s MAT 267 topics were divided into two classes – Math 10A and 10B and students would have take those two courses over 2 10 week quarters. We’re covering all of that material in 6 weeks!
I survived my first test in MAT 267 yesterday. This one counted for 10% of our total grade and wasn’t proctored. 12 questions and 2 hours to complete them. Topics were all on Chapter 10 – Vectors and the Geometry of Space. Most of the questions were pretty straight forward and I was able to score an 11.83/12 on the exam. I missed a question where we were given an acceleration vector and the vectors for velocity and position at time 0 and then needed to work back to find the general velocity and position vector equations. I missed 1/6 of that question, switching a sign. Very frustrating. The Calculus was easy, it’s that darn arithmetic that is hard sometimes!! All the questions were straight from the homework set and I had 100% on all of the homework questions to date. That problem I missed on the exam took me a number of attempts on the homework, but at least there were no surprises on the exam.
In addition to spending a lot of time preparing for the first exam, this week we moved into Chapter 11 – Partial Derivatives.
- Functions of Two Variables
- Partial Derivatives
- Tangent Planes and Linear Approximations
- The Chain Rule
Homework hasn’t been too heavy this week, just more of the same read the corresponding section in the textbook, watch the video, add new flash cards to my flash card deck, do homework.
Next week on 7/23 I have Exam 2 which will count for 25% of my grade and is proctored online through http://www.proctoru.com. Test prep information highlights materials from chapter 11 and perhaps some from chapter 10. Biggest challenge I think with Chapter 11 will be remembering all of the derivatives going back to MAT 265 – Calculus I. I have been reviewing a flash card deck of the various Integrals and derivatives so hopefully I won’t forget any come the exam.
Not much else to report this week! Back to the books!
This week has a lot of sections. Started off pretty straightforward but the later topics were definitely more challenging and time consuming.
On the menu for week two we found:
- The Dot Product
- The Cross Product
- Equations of Lines and Planes
- Cylinders and Quadric Equations
- Vector Functions and Curve Spaces
- Arc Length and
- Motion in Space: Velocity and Acceleration
A lot of problems were assigned from The Dot Product, Equations of Lines and Planes and Vector Functions and Curve Spaces. MAT 265 and 266 didn’t have very many problems with limited attempts but on a few problems, students were only given a handful of attempts. So far, I’ve gotten all of the problems correct. Most of the limited attempt questions were either true or false or matching questions. I am not a fan of those at all.
The last few sections and especially the Motion in Space section were very similar to what I remember from Physics 121 homework problems. I think having this course prior to Physics 121 in the fall will help me out a lot. I am definitely getting more comfortable with vectors after this week’s section. Plus seeing a few velocity and accelerations problems worked out through the MAT 267 lecture slides was very helpful.
Probably the most difficult thing for me is visualizing the 3D graphs. I am having to rely a lot on the Wolfram Alpha windows store app to help me graph and more times than not I’m off in my head. My plan over the next few days is to see if I can find a few other videos and resources to help supplement what the instructor has provided through Khan Academy or PatrickJMT’s site.
Wednesday, July 13 I have Exam 1 which will be 10% of my grade. It will cover all of the week 1 and week 2 material. It isn’t proctored and we’ve got two hours to complete the exam. As with the other MAT 265 and MAT 266 courses it will be through WebWorks and we’ll have two submissions.