Research Guides: Math Center: Helpful Handouts

Math Center Handouts

Here are helpful handouts created by the Math Center staff.
These handouts provide useful guides and reference sheets for your math classes.

Arithmetic and Pre-Algebra

Least Common Multiple
How to find the least common multiple of two numbers.
Adding and Subtracting Fractions
How to add and subtract fractions, including finding a common denominator.
Multiplying Fractions
How to multiply fractions, including how to cross-cancel factors.
Dividing Fractions
How to divide fractions, including dividing fractions by whole numbers.
Types of Real Numbers
A guide to types of numbers you will come across.
Multiplication Table
Prime Numbers Under 100
A list of prime numbers to help you with prime factorization
Divisibility Rules
Tricks for figuring out which numbers a large number can be divided by
Powers
A list of perfect squares, cubes, fourth powers, fifth powers, as well as powers of tens

Statistics (MTH 155, 245)

Empirical Rule
How to approach an Empirical Rule problem.
Choosing the Correct Hypothesis Test or Confidence Interval on the TI-83/TI-84
Choosing the right test or interval on the TI calculator.
Hypothesis Test Conclusion
Making the right conclusion and wording it properly.

Pre-Calculus 1 (MTH 161)

Slope and Line Formulas
Includes the Slope Formula, Slope-Intercept form, Point-Slope formula, and Standard form.
Exponent Rules
The definition of base and exponent, and rules for working with exponents.
Rational Exponents
How to work with fractional exponents. Includes examples.
Factoring
A guide to factoring polynomials. Includes special factoring formulas such as difference of squares and sum/difference of cubes.
Completing the Square
How to solve a quadratic equation by Completing the Square.
Systems of Linear Equations
Solving systems of linear equations using graphing, substitution, and elimination/addition.
Asymptotes of Rational Functions
How to find the Vertical, Horizontal, and Oblique Asymptotes of a rational function.
Transformations
Rules for transforming functions: shifting, compressing, stretching, and reflecting.
Logarithm Properties
Definition, properties, and rules for dealing with logarithmic functions.
Graphs of e^x and ln(x)

Pre-Calculus 2 / Trigonometry (MTH 162)

Definitions of Trigonometric Functions
Basic definitions of sine, cosine, tangent, etc.
Trigonometric Function Table of Values
Values of the trigonometric functions at 0, 30, 45, 60, 90, 180, and 270 degrees.
The Unit Circle
The unit circle with values of cosine and sine.
Trigonometric Identities
The basic trigonometric identities (reciprocal, quotient, Pythagorean, co-function, even/odd).
Trigonometric Formulas
A list of trigonometric formulas (sum/difference, double-angle, half-angle, power reducing, sum-to-product, product-to-sum).
Law of Sines and Law of Cosines
Solving non-right triangles.
Sequences and Series
Basic definitions of sequences and series, sum of sequence formulas, and formulas for arithmetic and geometric sequences.

Calculus (MTH 261, 263, 264, 265)

Table of Derivatives and Differentiation Rules (2 pages)
A table of derivatives and rules for differentiation. Contains derivatives taught in both Calculus 1 and 2.
Table of Integrals
A table of integrals (anti-derivatives). Contains integrals taught in both Calculus 1 and 2.
Graphs of e^(x) and ln(x)
Review the graphs of e^(x) and ln(x). Includes the domain, range, and limits of each function.
Integration By Parts
Strategy, special cases, and the Tabular Approach.
Series Rules and Strategy (2 pages)
Rules and a strategy guide for testing the convergence/divergence of series.
Deriving Vector Decomposition
Scalar and Vector Projection

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