### Math 1210-001 Spring 2016 Lectures

Department of Mathematics
College of Science
University of Utah

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 11-15
jan11.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 19-22
jan19.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 25-29
Monday 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 1-5
Monday 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 8-12
feb8.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 16-19
feb16.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 22-26
feb22.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 4
feb29.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 11
mar7.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 25
mar21.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 1
mar28.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 8
apr4.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 15
apr11.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 22
apr18.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 26
apr25.pdf   apr25.mw 5.6 mass, moments, centers of mass in 2 dimensions.
apr26.pdf   apr26.mw Review sheet