1.1a Functions 1.1b Difference Quotient Functions 1.1c Domain and Range intro Functions
1.1d Finding Domain from a function 1.1d part II Finding Domain from a function
1.1d part III Finding Domain and Range with a Calculator 1.1e applications creating a function writing in terms of
1.1f applications creating a function writing in terms of max min
1.2a types of function 1.2b Parent Graphs
1.3a Horizontal and Vertical shifts of Parent Functions 1.3b Vertical Stretching and shrinking
1.3c Puting all of the transformations together
1.4a Slope of a line 1.4b slope applications 1.4c Slope intercept form
1.4d Linear equations forms of a line slope intercept standard point slope 1.4e equation of a line.docx
1.4f Finding the equation of a line - Parallel and Perpendicular Lines
1.4g Linear Applications - Part II 1.4h Linear Applications - Part III
1.4i tangent lines equations, slopes intro 1.4j slope of a tangent line from a secant 1.4k Average Velocity Slope of Secant
1.5a intro to limits with a TI84 calculator 1.5b Left and Right and limits
1.5c Limits left right actual with a TI84 calculator 1.5d limits of piecewise functions
1.6a Limit Laws limits 1.6b Limit to a given number intro 1.6c Limit to a given number random value
1.6d Limit to a given number piecewise defined function 1.6e converting an absolute value to a piecewise defined function
1.6f limits of absolute value functions 1.6g limits of greatest integer function 1.6h limits of functions squeeze theorem
1.7a absolute value inequalities verbally interpreting epsilon delata 1.7b precise definition of a limit epsilon delata
1.7c part II precise definition of a limit epsilon delata 1.7d part III precise definition of a limit epsilon delata proofs
1.7e part IV precise definition of a limit epsilon delata application
1.8a Continuity definition of continuous 1.8b Continuity definition of continuous part II
1.8c Continuity of a piecewise defined fuction 1.8d Finding intervals of Continuity 1.8e Intermediate value theorem
2.1 a Intro to Derivatives 2.1 b Slope of a Tangent line derivatives
2 1 c rationalizing the numerator derivatives radical 2.1 d Instantaneous and Average Velocity
2 2 a derivatives and what that means differentiable 2 2 b differentiable and continuous
2 3 a derivatives general power rule 2 3 b derivatives of polynomials 2 3 c rewriting in general power form
2 3 d derivatives simplify first 2 3 e applications and interpreting derivatives 2 3 f product rule intro
2 3 g more product rule examples 2 3 h quotient rule 2 3 i higher second derivatives
2 3 j derivatives of functions review 2 3 k equation of normal line and tangent
2 4 a derivatives trig ratios intro 2 4 b derivatives trig product quotient 2 4 c limits to zero with trig functions
2 5 a intro to power rule 2 5 b more chain rule examples 2 5 c derivatives product quotient rule with chain
2 7 a applications of derivatives more 2 7 b derivative velocity acceleration of a particle 2 7 c marginal cost
2 9 a linear approximation intro 2 9 b finding dy linear approximation
2 9 c relative error introduction 2 9 d relative percent change example 2 9 e relative error circular disc
2 6 a implicit differentiation intro 2 6 b implicit differentiation basics
2 6 c implicit differentiation with quotient rule 2 6 d implicit differentiation with chain rule
2 6 e finding slope equation of tangent line implicit differentiation 2 6 f implicit differentiation second derivative
2 8 a intro to related rates warm up 2 8 b related rates intro 2 8 c related rates volumes distance
3.1 a graphing calculator graph properties increase and decrease
3 1 b intro to relative extrema
3 1 c critical numbers and uses polynomials
3 1 e critical numbers absolute value
3 1 f critical points domian issues
3 1 h absolute max and min closed interval
3 1 i absolute max and min domain
3 1 j absolute max and min trig functions
3 1 k applications of critical numbers max and min
3 2 a rolle's theorem finding c
3 2 b mean value theorem finding c
3 3 a 2nd derivative concavity and points of inflection
3 3 b concavity points of inflection polynomial
3 3 c concavity points of inflection trig functions
3 3 e using second derivative to find relative extrema
3.4 a Review Rational graphing horizontal slant asymptotes
3 4 b limits to infinity polynomials and rationals
3 4 c applications of limits to infinity
3 4 d limits to infinity radical to absolute value
3 5 3 6 a curve scetching polynomials
3.5 3.6 b 155 Review Graphing Rational Functions Vertical Assymptotes
3.5 3.6 c 155 Review Graphing Rational Functions horizontal slant Assymptotes
3.5 3.6 d 155 Review Graphing Rational Functions holes
3.5 3.6 d2 155 Review Graphing Rational Functions zero horizontal asymptote
3.5 3.6 e 155 Review Graphing Rational Functions zero slant asymptote
3.5 3.6 f 155 Review Graphing Rational Functions special no asymptote
3 5 3 6 g curve scetching rationals intro
3 5 3 6 h curve sketching rationals hole
3 5 3 6 i curve scetching trig functions
3 7 a intro to applications of maximizing and minimizing
3 7 b opimization problems 2 farmer
3 7 c optimization profit revenue cost
3 7 d optimization closest point to a line
3 7 e optimization initial velocity max height
3 9 a intro to antiderivative what is it
3 9 b power rule antiderivatives
3 9 d derivatives anti derivatives cheat sheet
3 9 e antiderivative simplify first
3 9 f antiderivative finding c with a given point
3 9 g applications of anti derivatives
3 9 h antiderivatives with second derivatives
4 1 a Reimann sums intro left right middle
4 1 b Reimann sums part 2 left right more subintervals
4 1 c Reimann sums upper and lower sums
4 1 e Reimann sums with ti 84 table function
11.1 c series sigma notation intro 11.1 d series sigma notation expanding and simplifying
4 2 b definite integral limit definition Reimann sums
4 2 c limit definition of a definite integral
4 3 a fundamental theorem of calculus
4 3 b definite integrals simplify first
4 3 c definite integrals tricks
4 3 d ftc part 1 derivatives of definite integrals
4 4 a integral with respect to y instead of x
4 4 b net change with definite integral
4 4 c total and net distance with integral
4 4 d another net change example
4 4e position of vertical object from acceleration initial
4 5 b u substitution more examples
4 5 d u substitution definite integral
5 1 a intro to area between two curves
5 1 b area between two curves more examples
5 1 c rectangle creation for chapter 5
5 2 a review of volume of solids
5 2 c disc method more examples
5 2 e washers rotation about x
5 2 f washer method both x and y axis
5 2 g rotations about a different axis washers
5 2 h volume of a solid made from perpendicular squares
5 3 a cylindrical shells intro
5 3 b more examples of cylindrical shells
5 3 c which method shells or discs
5 3 d shells and washers both methods together
5 3 e cylindical shells rotate about different axis