- $\rhd$ Summation notation and sums (4:26) Write $1+\cdots + 10$ and $1+\cdots + 100$ using summation notation. Expand the sum $\displaystyle\sum_{i=0}^{50}\pi i^2$.
- * Summation notation A review with multiple-choice questions.
- $\rhd$ Worked examples: summation notation (5:20)
- Consider the sum $2+5+8+11$. Find the expression that is equal to this sum.
- Expand $\displaystyle\sum_{n=1}^{4}\dfrac{k}{n+1}$.
- * Practice: Summation notation. (4 problems)
- $\rhd$ Riemann approximation introduction (6:44) Approximate the area under the curve $y=x^2+1$ using rectangles.
- $\rhd$ Left and right Riemann sums (4:00) Given the graph of a function $y=g(x)$, find the left and right Riemann sums that approximate the area under $y=g(x)$ between $x=2$ and $x=4$.
- * Practice: Over and under estimation of Riemann sums. (4 problems)
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