Courses
Every course stands on its own. Start with the subject that matches your exam, degree preparation, professional need, or intellectual goal. A prerequisite is advice about the mathematics used in a course—not a locked enrollment sequence.
Choose by study goal
Algebra and entrance-exam fluency
Advanced Algebra develops exact manipulation, equations and inequalities, functions, polynomials, exponentials, logarithms, systems, modeling, trigonometry, proof, and demanding cumulative problem solving. It includes its own readiness diagnostic and targeted repair work.
Calculus and mathematical analysis preparation
Start with Differential Calculus for limits, derivatives, optimization, and local change. Continue with Integral Calculus for accumulation, the Fundamental Theorem of Calculus, applications, and integration methods.
Structure, proof, and abstract reasoning
Linear Algebra studies vectors, matrices, systems, linear transformations, and eigenstructure. Discrete Mathematics develops logic, sets, relations, induction, sequences, and graphs.
Probability, statistics, and data
Probability develops uncertainty from sample spaces through random variables, distributions, expectation, and variance. Statistics develops sampling, estimation, hypothesis tests, group comparisons, chi-square methods, and regression foundations.
Modeling and scientific computation
Differential Equations studies first-order models, linear and separable equations, slope fields, and systems. Mathematical Computing with Python builds reproducible numerical, symbolic, array, and plotting skills.
Mixed review and exam rehearsal
Cumulative Review and Practice is for learners who have already studied several subjects and need interleaved retrieval, method selection, comprehensive practice, and timed rehearsal.
Compare courses
| Course | Best fit | Recommended background | Current scope |
|---|---|---|---|
| Advanced Algebra | Algebra exams, quantitative entrance preparation, calculus readiness | Arithmetic and elementary pre-algebra | Book-scale active course with readiness diagnostic |
| Discrete Mathematics | Proof, computer science, combinatorial reasoning | Advanced Algebra recommended | Logic, sets, functions, sequences, induction, graphs |
| Linear Algebra | Mathematics, data science, engineering, economics | Advanced Algebra recommended | Vectors through eigenvalues and eigenvectors |
| Differential Calculus | Calculus exams and quantitative degrees | Advanced Algebra recommended | Limits, derivatives, rules, optimization |
| Integral Calculus | Second calculus course and STEM exams | Differential Calculus recommended | Integrals, techniques, applications |
| Differential Equations | Mathematical modeling, science, engineering | Linear and Integral Calculus recommended | First-order equations, slope fields, systems |
| Probability | Probability exams, statistics readiness, uncertainty | Advanced Algebra recommended | Counting through expectation and variance |
| Statistics | Statistics exams and data analysis | Probability and Mathematical Computing recommended | Sampling through regression foundations |
| Mathematical Computing | Python for mathematical work | No course prerequisite | Python, functions, NumPy, plotting |
| Cumulative Review | Mixed exams and comprehensive rehearsal | Prior study of all subjects included in the assessment | Interleaved and timed practice |
Decide where to begin
- Open the course matching the syllabus or exam specification you need.
- Compare its outcomes and prerequisites with what you can currently do without notes.
- Use that course’s readiness material when available. For Advanced Algebra, begin with the readiness diagnostic and repair lesson.
- If a prerequisite is weak, study only the relevant prerequisite course or lesson, then return and reassess.
- Use cumulative and timed work only after untimed reasoning is dependable.
Course completion is not a credential or prediction of an exam result. Match your study to the current official syllabus for your examination, and use the course outcomes as a detailed mastery checklist.