After the first week lecture notes will be posted at least a day before class, and it will be your responsibility to print out and bring a copy . Most people find it useful to have the notes handy so as to minimize copying directly from the blackboard, thus leaving time in class to work on and write down example details and key explanations. The .pdf versions of the notes are for printing out. They are sometimes created from the Maple worksheets having the .mw suffix. Week 1: Jan 11-15jan11.pdf lines, slopes of lines, slopes of graphs and rates of change jan12.pdf 1.1 introduction to limits jan13.pdf jan13.mw 1.1, 1.3 limit theorems jan15.pdf jan15.mw 1.1, 1.3 limit theorems Week 2: Jan 19-22jan19.pdf jan19.mw 1.5 limits involving infinity jan20.pdf jan20.mw 1.6 continuity of functions. (We'll also touch on 1.4) jan22.pdf jan22.mw 1.6 continued, and an important limit from 1.4. Week 3: Jan 25-29Monday January 25: We will finish chapter 1, using Wednesday's and Friday's notes. jan26.pdf jan26.mw 2.1-2.2 introduction to derivatives jan27.pdf jan27.mw 2.1-2.2 continued jan29.pdf jan29.mw 2.2 and introduction to 2.3, differentiation rules. Week 4: Feb 1-5Monday February 1: Begin section 2.3, differentiation rules, using Friday's notes feb2.pdf feb2.mw 2.3: product rule and quotient rule. feb3.pdf feb3.mw review notes for the first exam. feb3_solutions.pdf feb3_solutions.mw solutions to review problems Week 5: Feb 8-12feb8.pdf feb8.mw 2.4: derivatives of trigonometric functions feb9.pdf feb9.mw feb9_filled_in.pdf 2.5: chain rule feb10.pdf feb10.mw feb10_filled_in.pdf 2.4-2.5: trig function derivatives and chain rule practice day feb12.pdf feb12.mw 2.6: higher order derivatives Week 6: Feb 16-19feb16.pdf feb16.mw 2.7: implicit differentiation feb17.pdf feb17.mw 2.8: related rates feb19.pdf feb19.mw 2.8: related rates, continued Week 7: Feb 22-26feb22.pdf feb22.mw 2.9: differentials feb23.pdf feb23.mw 3.1: maxima and minima; also, introduction to 3.1-3.5 feb24.pdf feb24.mw 3.1-3.2: critical point analysis for extreme values; monotonicity and concavity. feb26.pdf feb26.mw 3.2-3.3: monotonicity and concavity; local extrema; first and second derivative tests. Week 8: Feb 29-Mar 4feb29.pdf feb29.mw 3.2-3.3, mostly with Friday's notes. mar1.pdf mar1.mw finish 3.3 mar2.pdf mar2.mw review for exam 2 Week 9: Mar 7-Mar 11mar7.pdf mar7.mw 3.4 real-world optimization problems mar8.pdf mar8.mw 3.4 continued mar9.pdf mar9.mw 3.5 graphing with calculus, and dealing with infinities march 11: use Wednesday's notes to do some more graphing, then try a replacement related rates problem during the last 20 minutes of class. Week 10: Mar 21-Mar 25mar21.pdf mar21.mw 3.6 mean value theorem mar22.pdf mar22.mw 3.7 numerical solutions to equations mar23.pdf mar23.mw 3.8 antidifferentiation mar25.pdf mar25.mw 3.8 and begin 3.9 differential equations Week 11: Mar 28-Apr 1mar28.pdf mar28.mw 3.9 differential equations and slope fields. mar29.pdf mar29.mw 4.1 area and summation notation. mar30.pdf mar30.mw 4.2 definition of the definite integral as a limit of Riemann sums. apr1.pdf apr1.mw 4.2 Riemann sum to integral example, and intro to 4.4 the Fundamental Theorem of Calculus. Week 12: Apr 4-Apr 8apr4.pdf apr4.mw 4.2-4.4 the Fundamental Theorems of Calculus and practice. apr5.pdf apr5.mw 4.2-4.4 the Fundamental Theorems of Calculus and practice, focus on Part 1 of FTC. apr6.pdf apr6.mw Review notes for Friday exam Week 13: Apr 11-Apr 15apr11.pdf apr11.mw 4.5 integral mean value theorem, and integral shortcuts for odd and even functions. apr12.pdf apr12.mw 5.1 areas of planar regions apr13.pdf apr13.mw 5.2 volumes by planar-slab slices (including disks and washers). Friday April 15: use notes from Wednesday. Week 14: Apr 18-Apr 22apr18.pdf apr18.mw 5.2-5.3 volumes by slicing, begin volumes by cylindrical shells apr19.pdf apr19.mw 5.3 volumes by cylindrical shells apr20.pdf apr20.mw 5.4 lengths of curves apr22.pdf apr22.mw 5.4 and surface area of revolution. also begin 5.6 mass, moments and centers of mass. Week 15: Apr 25-Apr 26apr25.pdf apr25.mw 5.6 mass, moments, centers of mass in 2 dimensions. apr26.pdf apr26.mw Review sheet |