MATHEMATICS IB (2025) Analysis and Approaches SL&HL
Course Instructor
OGŁOSZENIA
Kurs odbywać się będzie na platformie Microsoft Teams
| date | day | level | topic |
| 13.11.2024 | środa, 17:50 | HL only | Solutions of g(x)≥f(x), both graphically and analytically. Solution of modulus equations and inequalities. |
| 14.11.2024 | czwartek, 18:00 | SL&HL | The Sine Rule and the Cosine Rule. Area of a triangle. |
| 20.11.2024 | środa | Wolne (planowy brak zajęć) | |
| 21.11.2024 | czwartek | Wolne (planowy brak zajęć) | |
| 27.11.2024 | środa, 17:50 | HL only | Double angle identities. The relationship between trigonometric ratios. |
| 28.11.2024 | czwartek, 18:00 | SL&HL | Solving trigonometric equations in a finite interval. Equations leading to quadratic equations in sinx,cosx or tanx. |
| 04.12.2024 | środa, 17:50 | HL only | Definition of the reciprocal trigonometric ratios. The inverses of trigonometric functions. |
| 05.12.2024 | czwartek, 18:00 | HL only | Compound angle identities. Relationships between trigonometric functions. |
| 11.12.2024 | środa, 17:50 | HL only | Concept of a vector; position vectors; displacement vectors. Representation of vectors using directed line segments. Base vectors i, j, k. Components of a vector. |
| 12.12.2024 | czwartek, 18:00 | HL only | The definition of the scalar product of two vectors. The angle between two vectors. Perpendicular vectors; parallel vectors. |
| 18.12.2024 | środa, 17:50 | HL only | Vector equation of a line in two and three dimensions. The angle between two lines. |
| 19.12.2024 | czwartek, 18:00 | HL only | Coincident, parallel, intersecting and skew lines. Points of intersection. |
| 08.01.2025 | środa, 17:50 | HL only | The definition of the vector product of two vectors. Properties of the vector product. Geometric interpretation. |
| 09.01.2025 | czwartek, 18:00 | HL only | Vector equations of a plane. Cartesian equation of a plane. |
| 15.01.2025 | środa, 17:50 | HL only | Intersections of a line with a plane, two planes, three planes. Angle between a line and a plane and two planes. |
| 16.01.2025 | czwartek, 18:00 | SL&HL | Presentation of data (discrete and continuous). Histograms. Cumulative frequency graphs. Box and whisker diagrams. |
| 22.01.2025 | środa, 17:50 | SL&HL | Measures of central tendency. Measures of dispersion. Effect of constant changes on the original data. |
| 23.01.2025 | czwartek, 18:00 | SL&HL | Linear correlation of bivariate data. Pearson’s product-moment correlation coefficient, r. |
| 29.01.2025 | środa, 17:50 | SL&HL | Equation of the regression line of y on x. Use of the equation of the regression line for prediction purposes. |
| 30.01.2025 | czwartek, 18:00 | SL&HL | The probability of an event. Calculating probabilities. Combined events. Mutually exclusive events. Independent events. Conditional probability. |
| 05.02.2025 | środa | FERIE ZIMOWE (woj. mazowieckie) | |
| 06.02.2025 | czwartek | FERIE ZIMOWE (woj. mazowieckie) | |
| 12.02.2025 | środa | FERIE ZIMOWE (woj. mazowieckie) | |
| 13.02.2025 | czwartek | FERIE ZIMOWE (woj. mazowieckie) | |
| 19.02.2025 | środa, 17:50 | SL&HL | Discrete and continuous random variables and their probability distributions. Binomial distribution. The normal distribution and curve. |
| 20.02.2025 | czwartek, 18:00 | SL&HL | Standardization of normal variables (z-values). Inverse normal calculations. |
| 26.02.2025 | środa, 17:50 | HL only | Use of Bayes’ theorem for a maximum of three events. |
| 27.02.2025 | czwartek, 18:00 | SL&HL | Understanding of limits (convergence and divergence). Definition of derivative from first principles. Higher derivatives. |
| 05.03.2025 | środa, 17:50 | SL&HL | Differentiation of a sum and a multiple of functions. The chain rule for composite functions. The product and quotient rules. |
| 06.03.2025 | czwartek, 18:00 | SL&HL | Increasing and decreasing functions. Local maximum and minimum points. Points of inflexion with zero and non-zero gradients. |
| 12.03.2025 | środa, 17:50 | HL only | Implicit differentiation. Related rates of change. Optimisation problems. |
| 13.03.2025 | czwartek, 18:00 | HL only | Derivatives and indefinite integrals of the derivatives of tanx, secx, cosecx, cotx, ax, loga(x), arcsinx, arccosx, arctanx. |
| 19.03.2025 | środa, 17:50 | SL&HL | Definite integrals. Areas of a region enclosed by a curve y=f(x) and the x-axis. Area between curves. |
| 20.03.2025 | czwartek, 18:00 | HL only | Integration by substitution. Integration by parts (also repeated). |
| 26.03.2025 | środa, 17:50 | SL&HL | Area of the region enclosed by a curve and the y-axis in a given interval. |
| 27.03.2025 | czwartek, 18:00 | HL only | Volumes of revolution about the x-axis or y-axis. |
| 02.04.2025 | środa, 17:50 | SL&HL | Kinematic problems involving displacement s, velocity v, acceleration a and total distance travelled. |
| 03.04.2025 | czwartek, 18:00 | HL only | First order differential equations: Variables separable, Homogeneous differential equations. |
| 09.04.2025 | środa, 17:50 | HL only | First order differential equations: Homogeneous differential equations. |
| 10.04.2025 | czwartek, 18:00 | HL only | First order differential equations: Integrating factor, Euler’s method. |
| 16.04.2025 | środa, 17:50 | HL only | Maclaurin series to obtain expansions for ex, sinx, cosx, arctanx, ln(1+x), (1+x)p, p∈ℚ. Maclaurin series developed from differential equations. |
| 17.04.2025 | czwartek, 18:00 | HL only | Evaluation of limits using l’Hôpital’s rule or the Maclaurin series. |
Materiały do zajęć będą wstawiane w lekcjach tematycznych wieczorem na dzień przez zajęciami.
Harmonogram zajęć znajdziesz w PLANIE ZAJĘĆ (w menu na górze strony – widać go dopiero po zalogowaniu).
