- $\rhd$ Riemann approximation introduction (6:44) Approximate the area of the region under the curve $f(x)=x^2+1$ bounded by $x=1$ and $x=3$.
- $\rhd$ Over and under estimation on Riemann sums (4:00) The graph of $g(x)$ is given. Consider the left and right Riemann sums that would approximate the area under $y=g(x)$ between $x=2$ and $x=8$. Are the approximations underestimations or overestimations?
- $\rhd$ Worked example: finding a Riemann sum using a table. (6:38) Given a table of values of a function, find a Riemann sum of that function.
- * Practice: Left and right Riemann sums. (4 problems)
- $\rhd$ Worked example: over and underestimation of Riemann sums. (4:41) Ordering different areas from least to greatest.
- * Practice: Over and underestimation of Riemann sums. (4 problems)
- $\rhd$ Midpoint sums (5:28) Approximate the area under the curve $y=x^2+1$ bounded by $x=-1$ and $x=2$ using three rectangles of equal width.
The OpenLab at City Tech:A place to learn, work, and share
The OpenLab is an open-source, digital platform designed to support teaching and learning at City Tech (New York City College of Technology), and to promote student and faculty engagement in the intellectual and social life of the college community.
top