Math 1210-3
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Week 1: Jan 7-11
jan7.pdf P.1: lines
jan8.pdf P.2: slopes of graphs
jan9.pdf P.2-P.3: slopes and derivatives for polynomial functions.
jan11.pdf P.3: Derivatives of polynomials
Week 2: Jan 14-18
jan14.pdf P.3-P.4: position->velocity interpretation of derivatives; antidifferentiation
jan15.pdf P.4-P.5: antidifferentiation and intro to FTC
jan16.pdf P.5: the amazing FTC
jan18.pdf 0.4: graphs of equations, scaling and translation.
Week 3: Jan 22-25
jan22.pdf 0.4 continued - symmetry, intercepts, intersections.
jan23.pdf 0.5-0.6 functions, graphs of functions, operations on functions.
jan25.pdf 0.7 trigonometry review
Week 4: Jan 28 - Feb 1
jan28.pdf 1.1 reintroduction to limits
jan29.pdf 1.2 estimation, and using the precise definition of limit
jan30.pdf 1.3 limit theorems; exam 1 review sheet for Friday.
Week 5: Feb 4-8
feb4.pdf 1.4 limits for trig functions
feb5.pdf 1.6 one-sided limits and continuity
feb6.pdf 2.1 the definition of derivative, revisited, and why rates of change are important to everyone.
feb8.pdf 2.2-2.3 differentiability and the sum, product, quotient rules for derivatives.
Week 6: Feb 11-15
feb11.pdf 2.4-2.5 derivatives of trig functions and introduction to chain rule.
feb12.pdf 2.5 chain rule.
feb13.pdf 2.5-2.6 chain rule, and higher order derivatives.
feb15.pdf 2.7 implicit differentiation
Week 7: Feb 19-22
feb19.pdf 2.8 related rates, with geometry review included.
feb20.pdf 2.8 related rates, four examples to work in class.
No fresh notes for Friday February 22 - we'll work the examples from Wednesday's notes.
Week 8: Feb 25-29
feb25.pdf 2.9 differentials and approximation
feb26.pdf 3.1; intro to 3.2-3.5; max-min problems; and using Calculus to understand the geometry of function graphs.
feb27.pdf review sheet for exam 2
Week 9: Mar 4-8
mar3.pdf 3.1-3.3 extrema, local extrema, increasing, decreasing, CU,CD.
mar4.pdf 3.1-3.3, 3.5 extrema, local extrema, increasing, decreasing, CU,CD, and using this information to graph.
mar5.pdf 3.4 max-min problems
mar7.pdf 3.4 more scientific max-min problems
Week 10: Mar 10-14
mar10.pdf 3.5, 1.5 graphing functions with Calculus, when infinity plays a role.
March 11: Use Monday's notes! (Since we spent Monday doing scientific max/min problems.)
mar12.pdf 3.6 the Mean Value Theorem about average rates of change
mar14.pdf 3.7 solving equations with Newton's and bisection methods.
Week 11: Mar 24-28
mar24.pdf 3.8 antiderivatives
mar25.pdf 3.8-3.9 antiderivatives and differential equations
mar26.pdf 3.9, 4.1 differential equations; re-introduction to the definite integral.
mar28.pdf 4.1-4.2 The definite integral.
Week 12: Mar 31 - Apr 4
mar31.pdf 4.1-4.2 The definite integral
apr1.pdf 4.3-4.4 The fundamental theorem(s) of Calculus
apr2.pdf odds and ends, and exam 3 review sheet.
Week 13: Apr 7 - Apr 11
apr7.pdf 4.5 mean value theorem for integrals. also, why FTC1 and FTC2 are true.
apr8.pdf 4.5 mean value theorem for integrals, and symmetry short-cuts for definite integrals.
apr9.pdf 4.6 numerical integration
apr11.pdf 5.1 areas of regions
Week 14: Apr 14 - Apr 18
apr14.pdf 5.2 Volumes by slicing
apr15.pdf 5.3 Volumes by cylindrical shells
apr16.pdf 5.4 Lengths of curves
apr18.pdf 5.4 Lengths of curves and areas of revolution
Week 15: Apr 21 - Apr 23
apr21.pdf 5.5 Work
apr22.pdf 5.6 Moments and centers of mass
apr23.pdf Topics review list