Mathematics at University

High school mathematics classes are very different than those at university. Yes, mathematics classes at university are more difficult, but it is more than just that. When you learn mathematics at high school, all of the classes are about solving problems. The students are presented with the theory, the teacher demonstrates how to solve the problem using the theory and then the students try it for themselves.

What happens at university? Firstly, the classes are now lectures and so mathematics is now presented to the student rather than co-created with the student. Some problems are demonstrated, but often the lecture is mostly theory. The drawback is that the student must choose to put in the time in doing the problems outside of the class.

Some universities provide one hour of tutorial time per week or per two weeks. In these tutorials, often a postgraduate at the university will help the students in solving problems from a problem set. While this is welcomed, often the postgraduate is not as approachable as a high school teacher. The same can be said about the lecturer. Yes, you will find some lecturers who are only too happy to offer one-to-one time helping the students but this is not the norm. Most lecturers have their time taken up by research and they view classes as a secondary role of their job. This, of course, is not true for all third level institutes.

In addition to this, the mathematics courses themselves vary. For example, a student taking a course in statistics would be solving many more problems than a student taking pure algebra. Most questions in pure algebra are not “problem based” but rather “proof based”. That is, in statistical classes the student will need to solve a problem and in pure mathematical classes students would mostly be proving a result. The former is more reminiscent of high school mathematics classes.

My advice for students entering a mathematics course at a university would be to stay on top of the questions or problems the lecturer assigns. You will not have the same time in class you would have had at high school for solving problems. Mathematics is not a spectator sport; you must work at it. Mathematics is presented to students as something to “watch” but it is something to work at. And of course, if you find yourself having trouble in your course, then seek help straight away!


Online Finance Education – More Than Just a Finance Certificate

It is no doubt that knowledge and skills is what today’s world need the most. The economic recession has just exposed how ill equipped most of us are in managing their finances. This ill equipment ranges from personal finances to business finances. It no wonder that many people especially in America have been caught pants down with lives that were just but borrowed. How else would you call the huge credit card bills that are taking down gigantic economies such as the USA and Europe?Finance education has to be redefined from the traditional finance for picking mistakes in accounting to a contemporary finance education that allows you to be have skills to better manage personal finances or business finances.The revolution brought about by the information technology (IT) is an opportunity through which finance education has been revolutionized. The emergence of online finance education propelled by the linkages between students and tutors via the internet has made it easier to share facts on finance education. In addition, people are now able to ask questions that build their daily skills through asking or providing answers that have practical solutions. This can be achieved though blogging.Online finance education also has the benefit of providing templates from which the practical application of finance theories can be based. For example, a budget planner can be customized to calculate allowable expenses to what proportions.The traditional training in finance can also be delivered using the online finance education. There are now available e-business degrees that cover training in accounting, business management, actuarial sciences, human resource management, insurance, and international business management among others.The demand for online training opportunity has fuelled the growth of online colleges or universities. The challenge in enrolling in online colleges is that you have almost no chance of ascertaining the authenticity and quality of service. At most, you can only view information about the college from the websites. The websites are however easy to manipulate to present incorrect information in a seemingly correct form.As you search for the information on where to find online college or education to improve your financial knowledge, check for an institution that will provide more than just a certificate. You should be able to learn tips on how to get out of credit card debts, how to make the most from your mortgage investments and much more contemporary financial needs.

SPDN: An Inexpensive Way To Profit When The S&P 500 Falls

SPDN is not the largest or oldest way to short the S&P 500, but it’s a solid choice.
This ETF uses a variety of financial instruments to target a return opposite that of the S&P 500 Index.
SPDN’s 0.49% Expense Ratio is nearly half that of the larger, longer-tenured -1x Inverse S&P 500 ETF.
Details aside, the potential continuation of the equity bear market makes single-inverse ETFs an investment segment investor should be familiar with.
We rate SPDN a Strong Buy because we believe the risks of a continued bear market greatly outweigh the possibility of a quick return to a bull market.
Put a gear stick into R position, (Reverse).

By Rob Isbitts

The S&P 500 is in a bear market, and we don’t see a quick-fix. Many investors assume the only way to navigate a potentially long-term bear market is to hide in cash, day-trade or “just hang in there” while the bear takes their retirement nest egg.

The Direxion Daily S&P 500® Bear 1X ETF (NYSEARCA:SPDN) is one of a class of single-inverse ETFs that allow investors to profit from down moves in the stock market.

SPDN is an unleveraged, liquid, low-cost way to either try to hedge an equity portfolio, profit from a decline in the S&P 500, or both. We rate it a Strong Buy, given our concern about the intermediate-term outlook for the global equity market.

SPDN keeps it simple. If the S&P 500 goes up by X%, it should go down by X%. The opposite is also expected.

Proprietary ETF Grades
Offense/Defense: Defense

Segment: Inverse Equity

Sub-Segment: Inverse S&P 500

Correlation (vs. S&P 500): Very High (inverse)

Expected Volatility (vs. S&P 500): Similar (but opposite)

Holding Analysis
SPDN does not rely on shorting individual stocks in the S&P 500. Instead, the managers typically use a combination of futures, swaps and other derivative instruments to create a portfolio that consistently aims to deliver the opposite of what the S&P 500 does.

SPDN is a fairly “no-frills” way to do what many investors probably wished they could do during the first 9 months of 2022 and in past bear markets: find something that goes up when the “market” goes down. After all, bonds are not the answer they used to be, commodities like gold have, shall we say, lost their luster. And moving to cash creates the issue of making two correct timing decisions, when to get in and when to get out. SPDN and its single-inverse ETF brethren offer a liquid tool to use in a variety of ways, depending on what a particular investor wants to achieve.

The weakness of any inverse ETF is that it does the opposite of what the market does, when the market goes up. So, even in bear markets when the broader market trend is down, sharp bear market rallies (or any rallies for that matter) in the S&P 500 will cause SPDN to drop as much as the market goes up.

While inverse ETFs have a reputation in some circles as nothing more than day-trading vehicles, our own experience with them is, pardon the pun, exactly the opposite! We encourage investors to try to better-understand single inverse ETFs like SPDN. While traders tend to gravitate to leveraged inverse ETFs (which actually are day-trading tools), we believe that in an extended bear market, SPDN and its ilk could be a game-saver for many portfolios.

SPDN and most other single inverse ETFs are vulnerable to a sustained rise in the price of the index it aims to deliver the inverse of. But that threat of loss in a rising market means that when an investor considers SPDN, they should also have a game plan for how and when they will deploy this unique portfolio weapon.

Proprietary Technical Ratings
Short-Term Rating (next 3 months): Strong Buy

Long-Term Rating (next 12 months): Buy

ETF Quality Opinion
SPDN does what it aims to do, and has done so for over 6 years now. For a while, it was largely-ignored, given the existence of a similar ETF that has been around much longer. But the more tenured SPDN has become, the more attractive it looks as an alternative.

ETF Investment Opinion

SPDN is rated Strong Buy because the S&P 500 continues to look as vulnerable to further decline. And, while the market bottomed in mid-June, rallied, then waffled since that time, our proprietary macro market indicators all point to much greater risk of a major decline from this level than a fast return to bull market glory. Thus, SPDN is at best a way to exploit and attack the bear, and at worst a hedge on an otherwise equity-laden portfolio.