Curriculum

11 chapters · 36 sessions

A complete map of the course. Free chapters are unlocked from the start; paid chapters require a one-time purchase.

Chapter 1
FREE

Lines in the Plane & Functions

The foundation: coordinates, slope, and what makes something a function.

  • S1Lines in the Plane & Functions
  • S2Graphing Functions & Transformations
  • S3Combining Functions, Inverses & Modeling
Chapter 2
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Quadratics & Polynomials

From parabolas to higher-degree behavior — and complex numbers when zeros go imaginary.

  • S1Quadratics & Polynomials
  • S2Finding Zeros & Complex Numbers
  • S3Rational Functions & Modeling
Chapter 3
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Exponential & Logarithmic Functions

Growth, decay, and the inverse relationship that powers them.

  • S1Exponential & Logarithmic Graphs
  • S2Properties & Equations
  • S3Models & Applications
Chapter 4
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Trigonometry

Angles, the unit circle, and graphs of sine, cosine, and friends.

  • S1Angles, Unit Circle & Right Triangles
  • S2Graphing Trigonometric Functions
  • S3Inverse Trig & Applications
Chapter 5
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Analytic Trigonometry

Identities, equations, and the formulas that unlock harder problems.

  • S1Fundamental Identities & Verification
  • S2Solving Trigonometric Equations
  • S3Sum, Difference & Multiple-Angle Formulas
Chapter 6
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Triangles, Vectors & Complex Forms

Beyond right triangles — and a first look at vectors and polar form.

  • S1Law of Sines & Cosines
  • S2Vectors in the Plane
  • S3Dot Products & Complex Numbers in Trig Form
Chapter 7
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Systems of Equations & Matrices

Solve big systems — and meet the algebra of matrices.

  • S1Solving Systems of Equations
  • S2Multivariable Systems & Matrix Operations
  • S3Inverse Matrices, Determinants & Applications
Chapter 8
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Sequences, Series & Counting

Patterns in numbers, sums, induction, and combinatorics.

  • S1Sequences & Sums
  • S2Geometric Series, Induction & Binomial Theorem
  • S3Counting & Probability
Chapter 9
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Conics, Parametric & Polar

Curves that don't fit y = f(x) — and the coordinate systems built for them.

  • S1Circles, Parabolas & Ellipses
  • S2Hyperbolas, Rotations & Parametric Equations
  • S3Polar Coordinates & Polar Conics
Chapter 10
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Vectors & Geometry in Space

Step into 3D — coordinates, vectors, lines and planes.

  • S13D Coordinate System
  • S2Vectors in Space & Cross Product
  • S3Lines & Planes in Space
Chapter 11
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Limits & Introduction to Calculus

Where precalc ends and calculus begins.

  • S1Foundations of Limits
  • S2Derivatives & Limits at Infinity
  • S3The Area Problem
Bonus
FREE

TI-84 Calculator Primer

Bonus reference — pick up calculator skills as you need them across the course.

  • S1Getting Started & Graphing
  • S2Graph Analysis & Data
  • S3Matrices, Sequences & Special Modes