# MAT 171 Calendar Spring 2014

This is a tentative calendar. I may have to move some things as we go along but I'll try to avoid moving the test days so you can plan ahead.

Sections refer to our textbook, Calculus for the Life Sciences, a Modeling Approach. Vol. I by James L. Cornette and Ralph A. Ackerman.

• 1st week, Jan. 20, 22, 24
• Mon. Jan. 22 Rev. Martin Luther King Holiday
• Sec. 1.4-1.5
• 2nd week, Jan. 27, 29, 31
• Sec. 1.6-1.11
• Sec. 2.1-2.6.1
• 3rd week, Feb. 3, 5, 7
• Sec. 2.6.2-2.7.1
• Test! Wednesday Feb. 5 Solutions
• Sec. 3.1, 3.3 (skip 3.2)
• 4th week, Feb. 10, 12, 14
• Geogebra http://www.geogebra.org This is a wonderful free program that produces very nice graphs, computes derivatives and integrals, and all kinds of other things. It even includes a simple spreadsheet.
• Sec. 3.4-3.5.1
• Sec. 3.5.2-3.6.1, 3.8-3.9 (skip 3.7)
• 5th week, Feb. 17, 19, 21
• Mon. Feb 17 Presidents' Day Holiday
• Sec. 4.1-4.4
• 6th week, Feb. 24, 26, 28
• Test! Monday Feb. 24 Solutions.
• Sec. 4.5, 4.6
• Paper-and-pencil homework from the textbook: Write up Exercise 4.5.2a. Due Monday Mar. 3
• 7th week, Mar. 3, 5, 7
• 8th week, Mar. 10, 12, 14
• 9th week, Mar. 17, 19, 21
• Sec. 5.6
• Sec.6.1
• 10th week, Mar. 24, 26, 28
• Mar. 31. Apr. 4 Spring Recess
• 11th week, Apr. 7, 9, 11
• Test! Monday Apr. 7 Solutions.
• Sec. 8.1-8.6
• 12th week, Apr. 14, 16, 18
• Integration: solve the differential equation $$\frac{dg}{dx}=f(x)$$ where $$f$$ is a known function. A solution is a function $$g(x)$$ that satisfies the differential equation. Basic example: a car is driving down the $$x$$ axis. $$t$$ hours after it starts driving its position is $$x(t)$$ miles from the origin, and when $$t=0$$ its position is $$x(0)=0$$. Its velocity at time $$t$$ is $$\frac{dx}{dt} = t^2$$ miles per hour at every time $$t$$. Find $$x(t)$$ at every time $$t$$.
The text covers this in chapters 11 and 12 but we'll go through it quicker and in a different order. Chapter 11 talks about areas, sums, and applications. Chapter 12 has the Fundamental Theorem of Calculus which shows that the solution to the differential equation can be interpreted as an area.
• 13th week, Apr. 21, 23, 25
• Continue with integration. Notation for integration $$\int f(x) \,dx$$ and $$\int_a^b f(x) \,dx$$. Section 11.4
• Nice Geogebra Applet relating areas to sums http://webspace.ship.edu/msrenault/ggb/riemann_sum.html
• The fundamental theorem of calculus (Chapter 12.1 in the text) says that the area under the curve $$y=f(x)$$ solves the differential equation $$\frac{dy}{dx}=f(x)$$. Since the area is essentially the sum of the areas of a lot of little rectangles, it also solves many scientific problems that require calculating sums. Chapters 12 and 13 in the text have lots of examples.
• Data for Friday's lecture (don't worry about the "Nov 22" date in the title). Nov22lectData.xls Nov22lectData.csv
• 14th week, Apr. 28, 30, May 2
• 15th week, May 5, 7, 9
• Final exams week
• Final Exam Monday May 12, 10am-12noon Solutions