
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given the function $f(x)= \frac {1}{2}ax^{2}-(2a+1)x+2\ln x$ $(a\in\mathbb{R})$.
1. When $a > 0$, discuss the monotonic intervals of $f(x)$;
2. Let $g(x)=x^{2}-2x$, if for any $x_{1}\in(0,2]$, there exists $x_{2}\in(0,2]$ such that $f(x_{1}) < g(x_{2})$, find the range of values for $a$.

Present the answer in LaTex format: \boxed{Your answer}
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