Mathematics - 2

Mathematics - 2

Objective: Introduce advanced mathematical concepts, develop analytical thinking, and prepare for the study of calculus, trigonometry, and advanced algebra.

What They Learn:

Introduction to Calculus:

Understanding the concepts of limits and functions.

Basics of differentiation and integration.

Using derivatives to find maximums, minimums, and inflection points.

Exploring rates of change and graph slopes.

Trigonometry:

Key trigonometric functions (sine, cosine, tangent).

Angles and their measurement in degrees and radians.

Simplification of trigonometric expressions.

Solving trigonometric equations.

Connection between trigonometry and geometry: Pythagorean theorem, triangle properties.

Algebra:

Operations with polynomials: addition, subtraction, multiplication, division.

Solving quadratic and linear equations.

Working with systems of equations.

Advanced work with fractions and rational expressions.

Introduction to logarithms and their properties.

Graphs of Functions:

Plotting graphs of linear, quadratic, logarithmic, and trigonometric functions.

Analyzing function properties: domain, intersections, asymptotes.

Investigating functions for growth, decay, and extrema.

Additional Topics:

Solving applied problems using calculus and trigonometry.

Preparing for math competitions and exams.

Enhancing mathematical thinking through challenging problems.