Andrew Dunbar

TCICC Semester 3

Provo Campus

2016 - 2017

Course Work Paper 2

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Solving quadratic equations using a formula,

Solve a system of three simultaneous linear equations

Multiplication of $2 \times 2$ matrices.

Cramers Rule applied to 3 simultaneous equations

Solving for a geometric series

Find the nth term of a Geometric progression

Find the sum of the first n terms of an arithmetic progression

Find the nth term of an Arithmetic progression

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

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Cramers Rule applied to 3 simultaneous equations

Solve a logarithmic equation

Putting a pair of linear equations into matrix notation and then solving by finding the inverse of the coefficient matrix. 

One-way ANOVA example

Given two numbers, find the gcd, then use Bézout's algorithm to find $s$ and $t$ such that $as+bt=\operatorname{gcd}(a,b)$.

Finally, find all solutions of an equation $\mod b$.

Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.

Partial Fractions

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Given constant demand for a product, calculate the economic order quantity, and the minimum cost per year.

Given constant demand for a product, calculate the economic order quantity, and the minimum cost per year.

Basic indefinite integrals, Basic definite integrals, integration by substitution

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Critical points, absolute minimum, local maximum and minimum points, increasing and decreasing, concavity

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Using the chain rule within product rule problems.

Find $\displaystyle\int \frac{ax+b}{(x+c)(x+d)}\;dx,\;a\neq 0,\;c \neq d $.

Multiplication of $2 \times 2$ matrices.

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