# Current DBchapter and DBsection Tags

The DBcourse is in bold, its DBchapter's are in italics, and its DBsection's are indented just below it. The number in parentheses is the number of problems in that section.

Abstract algebra (118)

Fields and polynomials (7)
Fields (2)
Polynomials (5)

Groups (84)
Cosets, Lagrange's theorem, and normality (14)
Cyclic groups (10)
Group actions (10)
Group axioms (14)
Homomorphisms (8)
Permutation groups (8)
Product of groups (5)
Quotient groups (4)
Subgroups (11)

Rings (27)
Ideals and homomorphisms (9)
Quotient rings and polynomial rings (6)
Ring axioms (4)
Units and zero divisors (8)

Algebra (6873)

Absolute value expressions and functions (153)
Absolute value inequalities (78)
Applications using absolute values (14)
Graphs with absolute values (14)
Solving equations with absolute values (47)

Algebra of real numbers and simplifying expressions (602)
Algebraic expressions (118)
Evaluating expressions (108)
Inequalities and intervals (116)
Isolating variables (26)
Properties (57)
Scientific notation (48)
Simplifying expressions (75)
Solving linear equations in one variable (54)

Cartesian coordinate system (167)
Circles (36)
Graphs of equations (42)
Midpoint and distance formulas (64)
Plotting points (25)

Conic sections (107)
Ellipses (31)
Hyperbolas (41)
Intersections of conics (1)
Parabolas (32)
Polar or parametric form (2)

Exponential and logarithmic expressions and functions (779)
Applications and models - general (90)
Applications and models - population growth (45)
Applications and models - radioactive decay (29)
Exponential and logarithmic equations (186)
Exponential functions (107)
Graphs (118)
Inequalities (4)
Logarithmic functions (28)
Properties of logarithms (172)

Factoring (391)
Factoring by grouping (39)
Factoring polynomials: general (53)
Factoring trinomials (142)
Factoring: common factors (57)
Factoring: special forms (100)

Finite sequences and series (251)
Arithmetic (98)
Binomial theorem (19)
Notation (115)
Summation formulas (19)

Functions (739)
Compositions and combinations of functions (192)
Definition, concept (36)
Difference quotient (33)
Domain and range (158)
Function notation (124)
Graphs (77)
Interpretation and applications (68)
Piecewise functions (51)

Functions with fractional exponents and radical functions (55)
Applications (4)
Equations (37)
Functions with fractional exponents (3)

Inverse functions (209)
1-1 functions (35)
Finding the inverse function (126)
Interpreting inverse functions (48)

Linear equations and functions (939)
Applications and models (240)
Equations of lines: general (35)
Equations of lines: point-slope form (11)
Equations of lines: slope-intercept form (103)
Equations of lines: standard form (14)
Finding the slope (38)
Graphs of lines (111)
Linear equations (137)
Linear functions (34)
Linear inequalities (154)
Parallel and perpendicular lines (62)

Operations on polynomial and rational expressions (395)
Partial fractions (29)
Polynomials: divide (50)
Polynomials: multiply (116)
Rational expressions: multiply, divide (23)
Simplify rational expressions (71)

Polynomial equations and functions (353)
Applications and models (26)
Complex roots (38)
Counting zeros (12)
Graphs of polynomials (51)
Inequalities involving polynomials (12)
Polynomial equations (46)
Polynomial functions (57)
Remainder and factor theorems (63)
Zeros and multiplicities (48)

Properties of exponents, rational exponents and radicals (334)
Properties of exponents (198)
Properties of rational exponents and radicals (136)

Applications and models (121)
Completing the square (38)
Complex roots (14)
Forms: vertex, factored, general (65)
Graphs (103)
Inequalities (33)
Solve by factoring (33)
Solving equations (96)

Rational equations and functions (334)
Applications and models (35)
Asymptotes (28)
Graphs of rational functions (60)
Rational equations (94)
Rational functions (14)
Rational inequalities (44)
Simplifying (59)

Systems of equations and inequalities (65)
Inequalities (10)
Linear systems (19)
Nonlinear systems (36)

Transformations of functions and graphs (369)
Horizontal shifts (20)
Horizontal stretches and compressions (8)
Reflect (21)
Reflect and scale change (20)
Reflect and shift (36)
Reflections and symmetry (16)
Scale changes: vertical and horizontal (12)
Shift and scale change (33)
Shifts: vertical and horizontal (54)
Symmetry: even, odd, neither (44)
Three or more transformations (84)
Vertical shifts (17)
Vertical stretches and compressions (4)

Variation and power functions (118)
Applications of power functions (22)
Direct variation (29)
Inverse variation (8)
Mixed variation (17)
Power functions (42)

Arithmetic (1198)

Decimals (166)
Absolute value (1)
Applications (44)
Converting between fractions and decimals (27)
Division (7)
Estimation (26)
Inequalities (8)
Interpreting decimals (23)
Multiple operations (3)
Multiplication (15)

Fractions/rational numbers (375)
Absolute value (2)
Applications (78)
Division (20)
Estimation (5)
Inequalities (20)
Interpreting fractions (25)
Mixed/improper fractions (66)
Multiple operations (17)
Multiplication (24)
Properties (5)
Ratio/proportions (25)
Reducing fractions (15)

Integers (358)
Absolute value (11)
Applications (98)
Estimation (1)
Exponentiation (56)
Inequalities (18)
Integer division (18)
Interpreting integers (14)
Multiple operations (75)
Multiplication (17)
Rounding (2)

Irrational numbers (56)
Inequalities (4)
Interpreting irrational numbers (2)
Rational exponents (4)

Other bases (26)
Converting (11)
Multiplication (6)

Percents (123)
Applications (79)
Calculations (30)
Conversion between decimals and percents (14)

Units (94)
Conversions (86)
Interpretation (8)

Calculus - multivariable (1558)

Calculus of vector valued functions (169)
Arc length and curvature (33)
Derivatives (17)
Frames, motions, and other applications (53)
Integrals (5)
Limits and continuity (4)
Parameterized curves (57)

Concepts for multivariable functions (200)
Notation, domain, and range (43)
Parameterized surfaces (16)
Surfaces (25)
Surfaces in other coordinate systems (2)
Traces, contours, and level sets (71)

Differentiation of multivariable functions (450)
Chain rule (41)
Differentiability, linearization and tangent planes (77)
Directional derivatives and the gradient (95)
Extreme values and optimization (69)
Lagrange multipliers and constrained optimization (47)
Limits and continuity (36)
Partial derivatives (85)

Fundamental theorems (118)
Divergence theorem (40)
Green's theorem (29)
Line integrals (21)
Stokes' theorem (28)

Integration of multivariable functions (334)
Applications of double integrals (61)
Applications of triple integrals (19)
Change of variable (37)
Double integrals in polar (36)
Double integrals over general regions (38)
Double integrals over rectangles (45)
Iterated integrals and Fubini's theorem (21)
Triple integrals (42)
Triple integrals in cylindrical and spherical (35)

Vector calculus (234)
Applications of line integrals (13)
Conservative vector fields (27)
Curl and divergence (55)
Line integrals (51)
Surface integrals of scalar fields (18)
Surface integrals of vector fields (70)

Vector fields (53)
Graphs, flows lines, and level surfaces (52)
Identifying extrema from graphs (1)

Calculus - single variable (8484)

Applications of differentiation (1543)
Concavity and points of inflection (57)
Elasticity of demand (19)
Global extrema (121)
Increasing/decreasing functions and local extrema (167)
Indeterminate forms and L'Hopital's rule (225)
Linear approximation and differentials (121)
Mean value theorem (51)
Newton's method (57)
Optimization - business and economics (37)
Optimization - engineering and physics (28)
Optimization - general (151)
Optimization - natural and social sciences (10)
Rates of change - business and economics (25)
Rates of change - engineering and physics (118)
Rates of change - general (13)
Rates of change - natural and social sciences (22)
Related rates (139)
Summary of curve sketching (182)

Applications of integration (945)
Arc length (57)
Areas between curves (111)
Average value of a function (55)
Biology (11)
Center of gravity (46)
Distance, velocity, acceleration (103)
Economics (16)
Hydrostatic pressure (33)
Other physics and engineering applications (35)
Probability and statistics (25)
Surfaces of revolution (47)
Volumes by cylindrical shells (89)
Volumes by disks (62)
Volumes by multiple methods (7)
Volumes by slices (68)
Volumes by washers (96)
Work (84)

Differentiation (1913)
Chain rule (with trigonometric functions) (126)
Chain rule (without trigonometric functions) (214)
Conceptual understanding of derivatives (111)
Definition of the derivative (131)
Derivatives involving multiple rules (all rules) (126)
Derivatives involving multiple rules (no chain rule) (19)
Derivatives involving multiple rules (no product, quotient, or chain rule) (7)
Derivatives of exponential functions (38)
Derivatives of hyperbolic functions (35)
Derivatives of inverse functions (20)
Derivatives of inverse trigonometric functions (53)
Derivatives of logarithmic functions (49)
Derivatives of polynomials and power functions (263)
Derivatives of trigonometric functions (40)
Higher-order derivatives (175)
Hyperbolic functions (17)
Implicit differentiation (160)
Logarithmic differentiation (43)
Product rule (with trigonometric functions) (41)
Product rule (without trigonometric functions) (75)
Quotient rule (with trigonometric functions) (31)
Quotient rule (without trigonometric functions) (139)

Infinite sequences and series (729)
Absolute and conditional convergence (31)
Alternating series test (15)
Applications of Taylor polynomials (27)
Comparison tests (30)
Fourier series (32)
Geometric (108)
Integral test (23)
Interval of convergence of a power series (110)
Limit of a sequence (72)
Maclaurin series (12)
Partial sums (26)
Power series (3)
Ratio test (37)
Representations of functions as series (27)
Root test (6)
Series notation (6)
Strategy for testing series (59)
Taylor polynomials (49)
Taylor series (43)
Test for divergence (13)

Integrals (947)
Antiderivatives (with trigonometric functions) (32)
Antiderivatives (without trigonometric functions) (120)
Conceptual understanding of integration (116)
Definite integrals (with trigonometric functions) (30)
Definite integrals (without trigonometric functions) (89)
Fundamental theorem of calculus (178)
Improper integrals (170)
Indefinite integrals (with trigonometric functions) (36)
Indefinite integrals (without trigonometric functions) (72)
Riemann sums (104)

Limits and continuity (859)
Applications - finding all asymptotes (25)
Applications - instantaneous rate of change (34)
Applications - other (9)
Applications - tangent lines and slopes (22)
Continuity - classifying discontinuities (16)
Continuity - concept of (133)
Continuity - intermediate value theorem (24)
Definitions and existence (conceptual) (28)
Estimating limits numerically (48)
Evaluating limits - factoring (82)
Evaluating limits - rational expressions (7)
Evaluating limits - rationalizing (16)
Evaluating limits - trigonometric (42)
Finding limits using graphs (38)
Infinite limits and vertical asymptotes (39)
Limits at infinity, horizontal and oblique asymptotes (132)
Motivational applications (estimation) (16)
One-sided limits - concept of (44)
Rules of limits - basic (84)
Squeeze theorem (20)

Parametric (176)
Arc length (34)
Area (12)
Curves (33)
Eliminating the parameter (25)
Higher order derivatives (13)
Surface area of surfaces of revolution (14)
Tangents, velocity, and speed (44)
Volumes of revolution (1)

Polar (107)
Arc length (25)
Area (62)
Other applications (2)
Tangents (18)

Techniques of integration (1265)
Approximation (159)
Challenging integrals (15)
Computer algebra system (20)
Hyperbolic functions (22)
Integration by parts (with trigonometric functions) (45)
Integration by parts (without trigonometric functions) (64)
Mixed techniques (65)
Partial fractions (163)
Substitution (with trigonometric functions) (146)
Substitution (without trigonometric functions) (234)
Tables of integrals (64)
Trigonometric integrals (133)
Trigonometric substitution (135)

Combinatorics (207)

Counting (174)
Combinations (35)
Factorial arithmetic (5)
Inclusion/exclusion (35)
Multiple techniques (16)
Permutations (29)
Pigeonhole principle (4)
Recursive (1)
Stars and bars (6)

Recurrence relations (33)
Concepts (22)
Solving homogeneous (9)
Solving nonhomogeneous (2)

Complex analysis (160)

Analytic functions (9)
Applications (1)
Differentiability and analyticity (3)
Entire functions (1)
Harmonic functions (4)

Arithmetic (112)
Conversion to a + bi form (14)
Conversion to/from polar form (23)
Division (14)
Modulus/norm (4)
Multiple operations (24)
Multiplication (17)
Powers and roots (8)

Complex equations (3)
Linear (3)

Complex functions (6)
Complex functions as mappings (2)
Limits (4)

Complex plane (5)
Regions and domains (5)

Elementary functions (1)
Exponential function (1)

Integration in the complex plane (1)
Cauchy's theorem (1)

Series and residues (23)
Laurent series (1)
Residues (6)
Sequences (1)
Taylor series (4)
Zeroes and poles (11)

Computer science (11)

Algorithm analysis (5)
Misc. (5)

Computational complexity (6)
Misc. (6)

Cryptography (10)

Classic ciphers (10)
Affine cipher (2)
Rail fence cipher (6)
Shift cipher (2)

Differential equations (1234)

First order differential equations (482)
Applications - Newton's law of cooling (17)
Applications - circuits (5)
Applications - exponential growth & decay (45)
Applications - logistic (19)
Applications - mixing problems (27)
Applications - other (41)
Bifurcations (2)
Direction fields (43)
Equilibrium points and phase lines (34)
Exact (47)
Existence and uniqueness (4)
Integrating factor (67)
Separable (121)
Substitutions (10)

Higher order differential equations (255)
Applications (44)
Boundary value problems (10)
Differential operators (15)
Euler equations (19)
Existence and uniqueness (1)
Linear independence (26)
Linear, constant coefficients, homogeneous (20)
Linear, constant coefficients, homogeneous (complex roots) (27)
Linear, constant coefficients, homogeneous (distinct real roots) (27)
Linear, constant coefficients, homogeneous (repeated roots) (12)
Misc. (1)
Reduction of order (8)
Undetermined coefficients (33)
Variation of parameters (12)

Introductory concepts (113)
Classifications of differential equations (48)
Verification of solutions (65)

Laplace transforms (134)
Applications and solving differential equations (30)
Basic transformations (38)
Convolutions (8)
Impulse functions (7)
Inverse transformations (17)
Shift functions (3)
Step functions (31)

Numerical methods (17)
Euler (17)

Partial differential equations (65)
Classification (8)
Fourier series (4)
Heat equation (26)
Inhomogenous equations (1)
Laplace's equation (6)
Other separable equations (5)
Wave equation (15)

Series solutions (34)
Bessel functions (3)
Ordinary point (8)
Singular point (23)

Systems of differential equations (134)
Applications (20)
Complex eigenvalues (5)
Distinct real eigenvalues (22)
Matrix notation for systems (16)
Nonhomogeneous systems (14)
Nonlinear systems (5)
Phase planes (23)
Reduction to first order systems (5)
Repeated eigenvalues (15)
Verification of solutions (9)

Electric circuits (98)

Analysis techniques (4)
Basic analysis using Kirchhoff's laws (3)
Sinusoids (3)

Introduction (2)
Maximum power transfer (3)
Misc. (2)
Superposition (4)
Thevenin's and Norton's theorems (6)

Basic components and electric circuits (2)
Units and scales (2)

Basic concepts (7)
Circuit elements (2)
System of units (5)

Capacitance and inductance (7)
Capacitor and inductor combinations (3)
Capacitors (2)
Inductors (2)

Magnetically coupled networks (3)
Mutual inductance (1)
The ideal transformer (2)

Nodal and loop analysis techniques (13)
Loop analysis (4)
Nodal analysis (9)

Operational amplifiers (8)
Fundamental op-amp circuits (8)

Polyphase circuits (2)

Resistive circuits (20)
Circuits with dependent sources (1)
Circuits with series-parallel resistor combinations (7)
Kirchhoff's law (4)
Ohm's law (2)
Series and parallel resistor combinations (2)
Single-loop circuits (1)
Single-node-pair circuits (1)
Wye-delta transformations (2)

Average power (1)
Complex power (2)
Effective or rms values (1)
Maximum average power transfer (1)
The power factor (1)

Voltage and current laws (1)
The single-loop circuit (1)

Financial mathematics (702)

Annuities (232)
Income streams (37)
Loans (72)
Mixed methods (25)
Perpetuities (35)
Sinking funds (63)

Bonds (41)
Book value (19)
Other bonds (5)
Prices and coupon rates (14)
Yield rates (3)

Equations of value (22)
Dollar weighted rate of return (12)
Time weighted rate of return (10)

Equities (18)
Forwards and futures (13)
Introduction to stocks (5)

Expected and contingent payments (17)
Contingent payments (9)
Expected payments (8)

Interest (290)
Compound interest (81)
Continuous interest (18)
Effective and nominal rates of interest (55)
Force of interest (8)
Present and future value of money (68)
Simple interest (60)

Options (82)
Binomial trees (24)
Black-Scholes and the Greeks (12)
Hedging strategies (20)
Introduction to options (21)
Put-call parity (5)

Geometry (493)

Angles (20)
Bisectors (4)
Complementary/supplementary (8)
Parallel lines with transversals (3)
Polygons (5)

Circle geometry (22)
Arcs and chords (8)
Circumference and area (9)
Inscribed and circumscribed (5)

Shapes (83)
Area (18)
Perimeter (9)
Properties of shapes (30)
Surface area (10)
Volume (16)

Transformations (4)
Rotation and reflection (4)

Vector geometry (364)
Coordinate systems (26)
Cross product (55)
Dot product, length, and unit vectors (109)
Lines (36)
Lines with planes (28)
Planes (48)
Vectors and vector arithmetic (62)

Graph theory (45)

Algorithms (4)
Dijkstra's (1)
Kruskal's (3)

Coloring (5)
Misc. (5)

Terminology (19)
Misc. (19)

Trees (3)
Misc. (3)

Walks (14)
Eulerian (10)
Hamiltonian (4)

Linear algebra (1708)

Abstract vector spaces (97)
Basis and dimension (20)
Coordinate vectors and change of basis (16)
Definition and properties (5)
Examples (5)
Linear combinations (5)
Linear independence (22)
Span (9)
Subspaces (15)

Determinants (104)
Applications (21)
Computing determinants (38)
Properties (45)

Eigenvalues and eigenvectors (93)
Applications (6)
Complex eigenvalues and eigenvectors (12)
Computing eigenvalues and eigenvectors (55)
Properties (15)

Euclidean spaces (324)
Basis and dimension (66)
Coordinate vectors and change of basis (10)
Linear combinations (38)
Linear independence (52)
Row, column, and null spaces (56)
Span (58)
Subspaces (35)
Vectors (9)

Inner products (117)
Applications (12)
Computing with dot products (11)
Computing with inner products (11)
Gram-Schmidt process (16)
Orthogonal and orthonormal sets (30)
Orthogonal matrices (2)
Projection and distance (35)

Linear transformations (181)
Associated matrices (76)
Evaluating linear transformations (10)
Inverses (7)
Kernel and image (36)
One-to-one and onto (23)
Properties (29)

Matrices (319)
Complex entries (3)
Echelon form (27)
Elementary matrices (19)
Inverses (61)
Markov chains (16)
Matrix algebra (129)
Rank (16)
Row operations (30)
Transpose and trace (18)

Matrix factorizations (68)
Diagonalization (28)
LU factorization (27)
QR factorization (6)
Singular value decomposition (7)

Systems of linear equations (405)
Applications (91)
Augmented matrices (30)
Matrix-vector forms (17)
Systems with 2 variables (155)
Systems with 3 variables (74)
Systems with 4 or more variables (25)
Vector equations (13)

Number theory (129)

Congruences (24)
Chinese remainder theorem (9)
Fast powering (2)
Fermat's little theorem (4)
Linear congruences (3)
Modular arithmetic (6)

Diophantine equations (1)
Fermat's last theorem (1)

Divisibility (104)
Definitions (31)
Division algorithm (12)
GCDs and LCMs (36)
Prime factorization (25)

Operations research (101)

Algorithms (34)
Bin packing (9)
Scheduling (17)
Traveling salesman (8)

Linear programming (67)
Constrained optimization - planar (44)
Simplex method (23)

Probability (635)

Continuous distributions (165)
Application of a normal distribution (66)
Exponential (12)
Gaussian normal (42)
Other distribution (28)
Uniform (17)

Discrete distributions (70)
Bernoulli (1)
Binomial (42)
Geometric (3)
Hypergeometric (1)
Negative binomial (1)
Normal approximation to binomial (9)
Poisson (13)

Laws, theory (19)
Central limit theorem (9)
Chebychev's inequality (9)
Misc. (1)

Random variables (66)
Continuous: density function, cumulative distribution function (5)
Discrete: probability mass function (8)
Expectation (28)
Generating function (7)
Variance, standard deviation (18)

Sample Space (287)
Bayes theorem -- inverse probability (26)
Conditional probability -- direct (82)
Independence (8)
Odds (9)
Outcomes & events (45)
Probability: direct computation, inclusion/exclusion (117)

Several variables (26)
Covariance & correlation (11)
Joint distribution (9)
Marginal distributions (6)

Stochastic process (2)
Markov chain (2)

Real analysis (8)

Limits and accumulation points (8)
Interior points (1)
Limit points (4)
Numerical methods (3)

Set theory and logic (324)

First order logic (45)
Predicates (8)
Proofs (6)
Semantics of quantifiers (11)
Translation (20)

Functions (9)
Image and inverse image (6)
Injective, surjective, bijective (3)

Fuzzy logic (2)
Misc. (2)

Operations on sets (84)
Boolean operations on sets (54)
Cardinality (4)
Membership tables (3)
Power sets (3)
Products (5)
Venn diagrams (15)

Pattern matching (24)
Non-numeric (7)
Numeric (17)

Propositional logic (114)
Boolean circuits (5)
Operations on propositions (21)
Rules of inference (31)
Translation (26)
Truth tables (31)

Puzzles (8)
Misc. (8)

Relations between sets (38)
Equivalence relations (14)
Properties of relations (10)
Subset (14)

Statics and mechanics of materials (72)

Beams (21)
Beam deflection (3)
Beam design (4)
Flexural stress (5)
Second moments of area (3)
Shear and bending moment diagrams (3)
Shear and bending moment functions (3)

Concurrent forces (8)
2D equilibrium (5)
2D resultant (1)
3D equilibrium (2)

Moments and rigid bodies (9)
2D equilibrium (5)
2D moments (3)
3D moments (1)

Properties of areas and volumes (5)
Composite centroids (3)
Integration centroids (1)

Simple stress and strain (11)
2D equilibrium (1)
Axial deformation (4)
Design for stress (1)
Material testing (1)
Normal stress (1)
Shearing strain (1)
Shearing stress (2)

Structures (18)
Frames and machines (7)
Trusses (11)

Statistics (853)

Bayesian inference (4)
Credibility intervals (1)
Hypothesis tests (1)
Posterior distribution (2)

Confidence intervals (142)
Concepts (27)
Independent samples - t (3)
Independent samples - z (4)
One sample mean - t (15)
One sample mean - z (46)
One sample proportion (38)
Paired samples (1)
Two sample proportion (5)
Variance (3)

Experimental design (26)
Concepts (26)

Exploratory data analysis/descriptive statistics (200)
Classifying data (24)
Description of distributions (13)
Graphical representations (54)
Summarizing data in tables (16)
Summary statistics (93)

Generalized linear methods (1)
Logistic regression (1)

Hypothesis tests (229)
Chi-squared test for goodness of fit (8)
Chi-squared test for independence (11)
Concepts (33)
Independent samples - t (26)
Independent samples - z (2)
One sample mean - t (26)
One sample mean - z (32)
One sample proportion (19)
One sample variance (4)
One-way ANOVA (24)
Paired samples (11)
Two sample proportion (17)
Two sample variances (1)
Two-way ANOVA (1)
Type I/type II errors and power (14)

Multiple regression (25)
Hypothesis tests (10)
Model selection (1)
Nonlinear regression (1)
Parameter estimates (13)

Nonparametric methods (3)
Kruskal-Wallis test (1)
Rank sum test (1)
Signed rank test (1)

Point estimation (9)
Consistency (1)
Maximum likelihood estimation (8)

Sample survey methods (58)
Capture-recapture method (1)
Cluster sampling (3)
Concepts (41)
Ratio estimators (3)
Regression estimators (1)
Response bias (1)
Sampling bias (2)
Stratified sampling (6)

Sampling distributions (37)
General (4)
Sample mean (25)
Sample proportion (8)

Simple linear regression (101)
Confidence intervals (2)
Correlation (39)
Diagnostics (2)
Hypothesis tests (10)
Prediction (18)
Regression (22)
Residuals (8)

Time series (18)
ARIMA models (2)
Autocorrelation (8)
Descriptive methods (1)
Forecasting (2)
Frequency domain (3)
Runs test (1)
Seasonal variation (1)

Trigonometry (1006)

Analytic trigonometry (266)
Double-angle & half-angle formulas (33)
Product-to-sum & sum-to-product formulas (9)
Solving trigonometric equations exactly (42)
Solving trigonometric equations numerically (36)
Using and proving basic identities (36)
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