## Sticky Post – Read this first. Categories and Links in Mathemafrica

The navigability of Mathemafrica isn't ideal, so I have created this post which might guide you to what you are looking for. Here are a number of different categories of post which you might like to take a look at: First year mathematics notes and resources (particularly for the University [...]

## Using polynomials to solve differential equations

One of the aims of MAM1000W isn't just to teach you individual mathematical topics, but over time to allow you to see the links between these subjects. Sometimes we do this explicitly, and sometimes you should notice the connections yourself simply by seeing one topic pop up in the middle [...]

## The Diagnostic Mathematics Information for Student Retention and Success (DMISRS) Project

Presentation by Robert Prince, UCT at the Teaching and Learning of Mathematics Communities of Practice meeting at UJ, 29 - 30 August 2018 The Diagnostic Mathematics Information for Student Retention and Success (DMISRS) Project The problem: Only 27% of students entering full-time university in 2006 graduated in minimum time. 40% [...]

## Future Planning of the USAf Teaching and Learning of Mathematics Community of Practice

Professor Rajendran Govender from the University of the Western Cape presented the objectives and future plans of the Universities South Africa (USAf) Teaching and Learning of Mathematics Community of Practice (TLM CoP) at the 2-day meeting at the University of Johannesburg, 29 - 30 August 2018 In accordance with the [...]

## Radically transforming mathematics learning experiences: Lessons from the Carnegie Math Pathways

Siyaphumelela Conference 2017, The Wanders Club, Johannesburg Andre Freedman, Capital Community College Bernadine Chuck Fong, Carnegie Math Pathways Workshop goals: Learn about the design, goals, implementations of Carnegie Math Pathways Experience Pathways lessons Engage in design tasks to improve student success in maths and college Engage in conversations about professional [...]

## How Behavior Spreads: The Science of Complex Contagions, by Damon Centola, a review

NB. This book was sent to me as a review copy. From Princeton University Press The idea of this book is relatively simple, but the consequences are huge, and in fact some of the ideas are far more subtle and complex than they may first appear. Essentially [...]

## Why did we choose that range for theta when doing trig substitutions?

Remember when we are doing a trig substitution, for instance for an integral with: $latex \sqrt{a^2-x^2}$ We said that we should choose $latex x=a\sin\theta$, which seemed reasonable, but we also said that $latex -\frac{\pi}{2}\le\theta\le\frac{\pi}{2}$. Where did this last bit come from? Well, we want a couple of things to [...]

## Integrals with sec and tan when the power of tan is odd

We went through an example in class today which was $latex \int tan^6\theta \sec^4\theta d\theta$ In this case we took out two powers of sec and then converted all the other $latex \sec$ into $latex\ tan$, which left a function of tan times $latex sec^2\theta d\theta$. We wanted [...]

## Fundamental theorem of calculus example

We did an example today in class which I wanted to go through again here. The question was to calculate $latex \frac{d}{dx}\int_a^{x^4}\sec t dt$ We spot the pattern immediately that it's an FTC part 1 type question, but it's not quite there yet. In the FTC part 1, [...]

## Is MAM1000W Making You Anxious?

Hello, my name is Jeremy :-) I am new to the MAM1000W team of tutors - if you want to read more about my background you can take a look at my bio in the MAM1000W document on Vula. In short, I returned to UCT last year to do my [...]