IB/Mathematics Analysis and Approaches (AA)/Flashcards

Mathematics Analysis and Approaches (AA) Flashcards

Notes Cheatsheets Predicted Papers Flashcards

SL 1.1—Using standard form1 deck8 cards

SL 1.2—Arithmetic sequences and series1 deck15 cards

SL 1.3—Geometric sequences and series1 deck10 cards

SL 1.4—Financial apps – compound interest, annual depreciation1 deck13 cards

SL 1.5—Intro to logs1 deck14 cards

SL 1.6—Simple proof1 deck12 cards

SL 1.7—Laws of exponents and logs1 deck20 cards

SL 1.8—Sum of infinite geo sequence1 deck11 cards

SL 1.9—Binomial theorem where n is an integer1 deck15 cards

AHL 1.10—Perms and combs, binomial with negative and fractional indices1 deck16 cards

AHL 1.11—Partial fractions1 deck8 cards

AHL 1.12—Complex numbers – Cartesian form and Argand diag1 deck14 cards

AHL 1.13—Polar and Euler form1 deck20 cards

AHL 1.14—Complex roots of polynomials, conjugate roots, De Moivre’s, powers & roots of complex numbers1 deck11 cards

AHL 1.15—Proof by induction, contradiction, counterexamples1 deck15 cards

AHL 1.16—Solution of systems of linear equations1 deck16 cards

SL 2.1—Equations of straight lines, parallel and perpendicular1 deck15 cards

SL 2.2—Functions, notation domain, range and inverse as reflection1 deck19 cards

SL 2.3—Graphing1 deck10 cards

SL 2.4—Key features of graphs, intersections using technology1 deck11 cards

SL 2.5—Composite functions, identity, finding inverse1 deck12 cards

SL 2.6—Quadratic function1 deck15 cards

SL 2.7—Solutions of quadratic equations and inequalities, discriminant and nature of roots1 deck14 cards

SL 2.8—Reciprocal and simple rational functions, equations of asymptotes1 deck12 cards

SL 2.9—Exponential and logarithmic functions1 deck22 cards

SL 2.10—Solving equations graphically and analytically1 deck10 cards

SL 2.11—Transformation of functions1 deck17 cards

AHL 2.12—Factor and remainder theorems, sum and product of roots1 deck13 cards

AHL 2.13—Rational functions1 deck19 cards

AHL 2.14—Odd and even functions, self-inverse, inverse and domain restriction1 deck16 cards

AHL 2.15—Solutions of inequalities1 deck10 cards

AHL 2.16—Graphing modulus equations and inequalities1 deck9 cards

SL 3.1—3d space, volume, angles, distance, midpoints1 deck15 cards

SL 3.2—2d and 3d trig, sine rule, cosine rule, area1 deck10 cards

SL 3.3—Angles of elevation and depression, bearings1 deck14 cards

SL 3.4—Circle, radians, arcs, sectors1 deck14 cards

SL 3.5—Unit circle definitions of sin, cos, tan. Exact trig ratios, ambiguous case of sine rule1 deck21 cards

SL 3.6—Pythagorean identity, double angles1 deck10 cards

SL 3.7—Circular functions, graphs, composites, transformations1 deck22 cards

SL 3.8—Solving trig equations1 deck8 cards

AHL 3.9—Reciprocal trig ratios and their pythagorean identities. Inverse circular functions1 deck17 cards

AHL 3.10—Compound angle identities1 deck11 cards

AHL 3.11—Relationships between trig functions1 deck10 cards

AHL 3.12—Vector definitions1 deck15 cards

AHL 3.13—Scalar (dot) product1 deck12 cards

AHL 3.14—Vector equation of line1 deck14 cards

AHL 3.15—Classification of lines1 deck12 cards

AHL 3.16—Vector product1 deck13 cards

AHL 3.17—Vector equations of a plane1 deck14 cards

AHL 3.18—Intersections of lines & planes1 deck12 cards

SL 4.1—Concepts, reliability and sampling techniques1 deck19 cards

SL 4.2—Histograms, CF graphs, box plots1 deck17 cards

SL 4.3—Mean, median, mode. Mean of grouped data, standard deviation. Quartiles, IQR1 deck15 cards

SL 4.4—Pearsons, scatter diagrams, eqn of y on x1 deck13 cards

SL 4.5—Probability concepts, expected numbers1 deck14 cards

SL 4.6—Combined, mutually exclusive, conditional, independence, prob diagrams1 deck14 cards

SL 4.7—Discrete random variables1 deck7 cards

SL 4.8—Binomial distribution1 deck13 cards

SL 4.9—Normal distribution and calculations1 deck12 cards

SL 4.10—X on y regression line1 deck13 cards

SL 4.11—Conditional and independent probabilities, test for independence1 deck14 cards

SL 4.12—Z values, inverse normal to find mean and standard deviation1 deck13 cards

AHL 4.13—Bayes theorem1 deck12 cards

AHL 4.14—Properties of discrete and continuous random variables1 deck15 cards

SL 5.1—Introduction of differential calculus1 deck13 cards

SL 5.2—Increasing and decreasing functions1 deck16 cards

SL 5.3—Differentiating polynomials, n E Z1 deck14 cards

SL 5.4—Tangents and normal1 deck10 cards

SL 5.5—Integration introduction, areas between curve and x axis1 deck13 cards

SL 5.6—Differentiating polynomials n E Q. Chain, product and quotient rules1 deck14 cards

SL 5.7—The second derivative1 deck12 cards

SL 5.8—Testing for max and min, optimisation. Points of inflexion1 deck20 cards

SL 5.9—Kinematics problems1 deck9 cards

SL 5.10—Indefinite integration, reverse chain, by substitution1 deck13 cards

SL 5.11—Definite integrals, areas under curve onto x-axis and areas between curves1 deck15 cards

AHL 5.12—First principles, higher derivatives1 deck14 cards

AHL 5.13—Limits and L’Hopitals1 deck14 cards

AHL 5.14—Implicit functions, related rates, optimisation1 deck14 cards

AHL 5.15—Further derivatives and indefinite integration of these, partial fractions1 deck22 cards

AHL 5.16—Integration by substitution, parts and repeated parts1 deck12 cards

AHL 5.17—Areas under curve onto y-axis, volume of revolution (about x and y axes)1 deck12 cards

AHL 5.18—1st order DE’s – Euler method, variables separable, integrating factor, homogeneous DE using sub y=vx1 deck14 cards

AHL 5.19—Maclaurin series1 deck14 cards