Overview
Mathematics is the language of science, engineering, and everyday problem-solving. Our mathematics resources are designed to help learners at every level develop fluency with numbers, patterns, and logical reasoning. Whether you are just beginning with addition and subtraction or tackling multivariable calculus, you will find clear explanations and practice opportunities here.
Topics
Arithmetic & Number Sense
Master the four basic operations, place value, factors and multiples, order of operations, and mental math strategies. These skills form the bedrock of all mathematical learning.
- Whole number operations
- Place value and rounding
- Factors, multiples, and primes
- Order of operations (PEMDAS)
Fractions & Decimals
Learn to work confidently with fractions, decimals, and percentages. Understand equivalence, conversion between forms, and operations with rational numbers.
- Equivalent fractions
- Adding & subtracting fractions
- Multiplying & dividing fractions
- Decimal-fraction-percent conversions
Pre-Algebra
Bridge the gap between arithmetic and algebra. Learn about integers, variables, expressions, one-step equations, ratios, proportions, and coordinate graphing.
- Integer operations
- Variables and expressions
- Solving one-step equations
- Ratios and proportions
Algebra I
Explore linear equations, inequalities, systems of equations, polynomials, and quadratic functions. Develop the symbolic reasoning skills used throughout higher mathematics.
- Linear equations and inequalities
- Systems of equations
- Polynomials and factoring
- Quadratic equations
Geometry
Study the properties of shapes, angles, congruence, similarity, area, volume, and coordinate geometry. Develop spatial reasoning and proof-writing skills.
- Points, lines, and angles
- Triangles and congruence
- Circles and arcs
- Area, surface area, and volume
Algebra II
Delve into advanced algebraic concepts: complex numbers, exponential and logarithmic functions, conic sections, sequences, and series.
- Complex numbers
- Exponential functions
- Logarithms
- Sequences and series
Trigonometry
Understand trigonometric ratios, the unit circle, identities, graphs of trig functions, and applications in science and engineering.
- Sine, cosine, tangent
- Unit circle
- Trigonometric identities
- Law of sines and cosines
Pre-Calculus
Prepare for calculus with in-depth study of functions, limits, polar coordinates, parametric equations, and vectors.
- Functions and transformations
- Limits and continuity
- Polar coordinates
- Vectors
Calculus
Master differential and integral calculus: derivatives, integrals, the Fundamental Theorem, applications, and multivariable calculus basics.
- Limits and derivatives
- Applications of derivatives
- Integrals and techniques
- Differential equations intro
Statistics & Probability
Learn data analysis, probability, distributions, hypothesis testing, and regression. Essential skills for data-driven fields and everyday decision-making.
- Descriptive statistics
- Probability fundamentals
- Normal distribution
- Hypothesis testing
Why Study Mathematics?
Mathematics develops critical thinking and logical reasoning skills that apply far beyond the classroom. It is fundamental to careers in science, engineering, technology, finance, medicine, and many other fields. Mathematical literacy also supports everyday tasks such as budgeting, cooking, planning, and understanding news and data.
Real-World Applications
- Engineering: Calculus and physics enable the design of bridges, circuits, and software systems.
- Medicine: Biostatistics powers clinical trials and epidemiological research.
- Finance: Probability and algebra underpin investment strategies and risk assessment.
- Technology: Algorithms, discrete math, and linear algebra drive artificial intelligence and data science.
- Everyday life: Percentages, measurements, and estimation help with shopping, cooking, and home improvement.
Study Tips for Mathematics
- Practice regularly: Mathematics is learned by doing. Work through problems daily, even if only for 15–20 minutes.
- Understand, don't memorize: Focus on why a method works, not just the steps. Understanding leads to flexible problem-solving.
- Build on foundations: Make sure prerequisite skills are solid before moving to new topics. Gaps in earlier knowledge make advanced work much harder.
- Show your work: Writing out each step helps catch errors and reinforces understanding.
- Use multiple resources: If one explanation is unclear, try another. Different perspectives can illuminate difficult concepts.
- Make connections: Look for links between topics. Algebra, geometry, and statistics are deeply interconnected.