Functions,statistics, and trigonometry /
Rheta N Rubenstein .. .et al.
- Glenview, UCSMP Production and evaluation: c 1992.
- x,937 p.: ill,col .: 24 cm.
CONTENT
Chapter 1 Making sense of data 1-1 : Collecting data 1-2 : Tables and graphs 1-3 : Other displays 1-4 : Measures of center 1-5 :Quatiles,percentiles and box plots
Chapter 2 Functions and Models 2-1 : The language of functions 2-1 : Linear models 2-3 : The line of best Fit 2-4 : Step functions 2-5 : Correlation
Chapter 3 Transformations of functions and data 3-1 ; Using an automatic graphs 3-2 : The graph translation theorem 3-3 : Translations of data 3-4 ; Symmetries of graphs 3-5 : The graph scale theorem
Chapter 4 Power, Exponential and logarithmic functions 4-1 : nth Root functions 4-2 : Rational power functions 4-3 : Exponential functions 4-4 : Finding exponential models 4-5 : Logarithmic function
Chapter 5 Trigonometric functions 5-1 : Measures of angles and rotations 5-2 : Lengths of Arcs and Areas of sectors 5-3 : Trigonometric ratios of acute angles 5-4 : The sine, cosine and tangent functions 5-5 : Exact values of trigonometric functions etc.
Chapter 6 Graphs of circular functions 6-1: Scale change images of circular functions 6-2: Translation images of circular functions 6.3: Linear changes of circular functions 6-4: Modeling with circular functions 6-5: Inverse circular functions etc.
Chapter 7 Probability and simulation 7-1: Fundamental properties of probability 7-2: Addition counting principles 7-3: Multiplication counting principles 7-4: Independent events 7-5; Permutations etc.
Chapter 8 Sequences,series and combinations 8-1: Formulas for sequences 8-2: Limits of sequences 8-3: Arithmetic series 8-4: Geometric series 8-5: Infinite series etc.
Chapter 9 Polynomial functions 9-1:Polynomial models 9-2: Finding polynomial models 9-3: Graphs of polynomial functions 9-4: Division and the remainder theorem 9-5; The factor theorem etc.
Chapter 10 Binomial and normal distributions 10-1; Binomial probability distributions 10-2; Mean and standard deviation of a binomial distribution 10-3: Representing probabilities by areas 10-4: The parent of the normal curve 10-5; The standard normal distribution etc.
Chapter 11 Matrices and trigonometry 11-1: Matrix multiplication 11-2: Matrices for transformations 11-3: Matrices for composites of transformations 11-4: The general rotation matrix 11-5; Identities for cos (a+b )and sin ( a + b) etc.
Chapter 12 Quadratic relations 12-1; The geometry of the ellipse 12-2: The algebra of the ellipse 12-3: The hyperbola 12-4; Rotating relations 12-5: The general quadratic etc.
Chapter 13 Further work with trigonometry 13-1: Proving trigonometric identities 13-2: Restrictions on identities 13-3: Polar coordinates 13-4; Polar graphs 13-5: The geometry of complex numbers etc.