Skip to Main Content

# Math

Welcome to the Math Hub

This hub will help you develop effective strategies for how to approach mathematics with information specific to how to study and practice math, and reduce math anxiety. It also provides some interesting ways to have fun with mathematics.

Math can be a challenging subject! Don't worry the NWP Learning Commons has put together a guide to help you solve your trickiest questions.

If you would like some one-on-one help with math, you can make an appointment with the Learning Common's Math Support Specialist, Greg Hearn.

The guide section below Study Strategies was created by Shohreh Rahmati in 2021.

Back to the Learning Portal

Math Language

Math Anxiety

Study Strategies

The Fundamentals

Rational Expressions

Logs and Exponents

$$BEDMAS$$ $$f(x)=\frac{3x^2+5}{27x^3-8}$$

$$y=e^x, \quad \ln y=x$$

 $$y=b^x, \quad \log_b y=x$$

Quadratic Equations

Sequences and Series

Set Theory

$$ax^2+bx+c=0$$

$$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$$

Arithmetic:

$$t_{n}=t_{1}+(n-1)d$$

Geometric:

$$t_{n}=t_{1} \times r^{n-1}$$

Probability

Permutations and Combinations

Trigonometry

$$P(A \cup B) = P(A) + P(B)$$

$$P(n,r) = \frac{n!}{(n-r)!}$$

$$C(n,r) = \frac{n!}{r! \times (n-r)!}$$

Transformations of Functions

Composition of Functions

Operations of Functions

$$y=af(b(x-h))+k$$

$$(x,y) \rightarrow (\frac{x}{b}+h,ay+k)$$

$$h(x)=f \circ g(x)$$

$$h(x)=f(g(x))$$

$$f(x) \pm g(x)=f \pm g(x)$$

$$f(x) \times g(x)=f \times g(x)$$

Inverse Functions

Limits

Derivatives

$\lim_{x \to a} f(x) = L$

$f'(a)= \lim_{x \to a} \frac{f(x)-f(a)}{x-a}$

$f'(x)= \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Statistics

## Credits

Credits

This hub was created by Student Support Services at Algonquin College with support from Seneca Libraries and The Seneca Teaching and Learning Centre. Much of the content was donated from the following sources:

With the exception of any content from Durham College, the content is available under an CC-BY-NC-SA license. The PDF documents from Durham College fall outside the Creative Commons license of The Learning Portal. Other content used in the creation of this hub are credited in the modules.

## Attribution

Attribution

Unless otherwise stated, the material in this guide is from the Learning Portal created by College Libraries Ontario. Content has been adapted for the NWP Learning Commons in June 2021. This work is licensed under a Creative Commons BY NC SA 4.0 International License.

All icons on these pages are from The Noun Project. See individual icons for creator attribution.