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!


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S&P 500 Rallies As U.S. Dollar Pulls Back Towards Weekly Lows

Key Insights
The strong pullback in the U.S. dollar provided significant support to stocks.
Treasury yields have pulled back after touching new highs, which served as an additional positive catalyst for S&P 500.
A move above 3730 will push S&P 500 towards the resistance level at 3760.
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Pfizer Rallies After Announcing A Huge Price Hike For Its COVID-19 Vaccines
S&P 500 is currently trying to settle above 3730 as traders’ appetite for risk is growing. The U.S. dollar has recently gained strong downside momentum as the BoJ intervened to stop the rally in USD/JPY. Weaker U.S. dollar is bullish for stocks as it increases profits of multinational companies and makes U.S. equities cheaper for foreign investors.

The leading oil services company Schlumberger is up by 9% after beating analyst estimates on both earnings and revenue. Schlumberger’s peers Baker Hughes and Halliburton have also enjoyed strong support today.

Vaccine makers Pfizer and Moderna gained strong upside momentum after Pfizer announced that it will raise the price of its coronavirus vaccine to $110 – $130 per shot.

Biggest losers today include Verizon and Twitter. Verizon is down by 5% despite beating analyst estimates on both earnings and revenue. Subscriber numbers missed estimates, and traders pushed the stock to multi-year lows.

Twitter stock moved towards the $50 level as the U.S. may conduct a security review of Musk’s purchase of the company.

From a big picture point of view, today’s rebound is broad, and most market segments are moving higher. Treasury yields have started to move lower after testing new highs, providing additional support to S&P 500. It looks that some traders are ready to bet that Fed will be less hawkish than previously expected.

S&P 500 Tests Resistance At 3730

S&P 500 has recently managed to get above the 20 EMA and is trying to settle above the resistance at 3730. RSI is in the moderate territory, and there is plenty of room to gain additional upside momentum in case the right catalysts emerge.

If S&P 500 manages to settle above 3730, it will head towards the next resistance level at 3760. A successful test of this level will push S&P 500 towards the next resistance at October highs at 3805. The 50 EMA is located in the nearby, so S&P 500 will likely face strong resistance above the 3800 level.

On the support side, the previous resistance at 3700 will likely serve as the first support level for S&P 500. In case S&P 500 declines below this level, it will move towards the next support level at 3675. A move below 3675 will push S&P 500 towards the support at 3640.

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Upon getting information about an upcoming school science fair and the need to consider a topic of interest, many students will typically have no idea where to get started. While the science fair is typically a common occurrence in any school at any grade level, there are different types of topics that should be taken a look at depending on the age of the student. After first taking a look at the many different categories of science projects, you will be able to locate a suitable choice of topic to take to the next level.There is a wide variety of categories that fall under the types of science projects that can be chosen for a school science fair. These include biology, chemistry, physics, microbiology, biochemistry, medicine, environmental, mathematics, engineering, and earth science. While you may not have yet learned very much in any of these categories, don’t be afraid to see what each one entails. Taking a good look at your interests will allow you to focus on the right direction to take.Many resources are also available for those who are unsure as to the topic they are wanting to use to create their science projects. If you take a look at the topics that fall under the biology category, you will likely notice that there are topics that deal with plants, animals, and humans. For those who are in 2nd grade or 3rd grade, an interesting topic may be to determine if ants are picky over what type of food they eat. While this topic might not be of interest to an 8th grader, it is certainly something in the biology category that an elementary school student would enjoy.Along with the biology category, a high school student may want to take a look at diffusion and osmosis in animal cells as this would be a more appropriate topic for the grade level. A student in 6th grade would be more advanced than an elementary school student, but not as advanced as a high school student. At this middle school grade level, a topic of how pH levels effect the lifespan of a tadpole may be of interest.Whichever resource is used to locate a topic for science projects, it is always a good idea to consider the grade level of the student prior to making a selection. It is always assumed to be best to have a project at an appropriate level in order to keep the attention of the student and provide a fun and enjoyable learning experience.