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Honors Precalculus

11 units · 52 topics · 1,187 lessons · Grade 10 or 11

Everything in Precalculus at a faster pace, plus vectors, polar and parametric equations, matrices, and an introduction to limits.

Start: Functions and Their Properties Find a tutor Exam Sprint
  1. 1Functions and Their Graphs
  2. 2Polynomial and Rational Functions
  3. 3Exponential and Logarithmic Functions
  4. 4Trigonometric Functions
  5. 5Trigonometric Identities and Equations
  6. 6Applications of Trigonometry
  7. 7Polar and Parametric Equations
  8. 8Conic Sections
  9. 9Sequences, Series, and Probability
  10. 10Systems and Matrices
  11. 11Introduction to Limits
Course pathAll videos
1

Functions and Their Graphs

Function language, transformations, and building new functions from old.

  1. 1Functions and Their PropertiesUp next52 lessons
  2. 2Average Rate of Change28 lessons
  3. 3Parent Functions and Transformations16 lessons
  4. 4Combining and Composing Functions18 lessons
  5. 5Inverse Functions14 lessons
  6. 6Piecewise Functions and Continuity28 lessons
2

Polynomial and Rational Functions

Zeros, end behavior, and asymptotes.

  1. 1Quadratic Functions and Models7 lessons
  2. 2Polynomial Functions and Their Graphs19 lessons
  3. 3Dividing Polynomials21 lessons
  4. 4Real and Complex Zeros11 lessons
  5. 5Rational Functions and Asymptotes12 lessons
  6. 6Polynomial and Rational Inequalities48 lessons
3

Exponential and Logarithmic Functions

Exponential growth, logarithms, and modeling.

  1. 1Exponential Functions7 lessons
  2. 2Logarithmic FunctionsCoverage growing
  3. 3Properties of Logarithms19 lessons
  4. 4Exponential and Logarithmic Equations8 lessons
  5. 5Exponential and Logarithmic Models20 lessons
4

Trigonometric Functions

Radians, the unit circle, and graphs of the six trig functions.

  1. 1Angles and Radian Measure39 lessons
  2. 2Right Triangle Trigonometry15 lessons
  3. 3Trig Functions on the Unit Circle13 lessons
  4. 4Graphs of Sine and Cosine28 lessons
  5. 5Graphs of Other Trig FunctionsCoverage growing
  6. 6Inverse Trigonometric Functions13 lessons
5

Trigonometric Identities and Equations

Rewriting trig expressions and solving trig equations.

  1. 1Fundamental Trig Identities5 lessons
  2. 2Verifying Trig IdentitiesCoverage growing
  3. 3Solving Trig Equations11 lessons
  4. 4Sum and Difference Formulas37 lessons
  5. 5Double-Angle and Half-Angle Formulas42 lessons
6

Applications of Trigonometry

Solving any triangle.

  1. 1The Law of Sines41 lessons
  2. 2The Law of Cosines38 lessons
  3. 3Area of Oblique Triangles29 lessons
  4. 4Vectors in the Plane27 lessons
  5. 5The Dot Product39 lessons
  6. 6Trigonometric Form of Complex Numbers44 lessons
7

Polar and Parametric Equations

Honors: describing curves with angles and with a parameter.

  1. 1Polar Coordinates26 lessons
  2. 2Graphs of Polar Equations13 lessons
  3. 3Parametric Equations28 lessons
8

Conic Sections

Parabolas, ellipses, and hyperbolas.

  1. 1Parabolas11 lessons
  2. 2Circles and Ellipses24 lessons
  3. 3Hyperbolas17 lessons
  4. 4Classifying Conics13 lessons
9

Sequences, Series, and Probability

Sequences, sums, induction, and counting.

  1. 1Sequences and Summation Notation26 lessons
  2. 2Arithmetic and Geometric Series10 lessons
  3. 3Mathematical Induction40 lessons
  4. 4The Binomial Theorem27 lessons
  5. 5Counting and Probability6 lessons
10

Systems and Matrices

Honors: solving systems with matrices.

  1. 1Systems of Equations and Partial Fractions42 lessons
  2. 2Matrices and Matrix Operations35 lessons
  3. 3Inverse Matrices and Determinants25 lessons
11

Introduction to Limits

Honors: the idea calculus is built on.

  1. 1Limits Numerically and Graphically32 lessons
  2. 2Evaluating Limits Algebraically15 lessons
  3. 3Limits at Infinity and Tangent Lines25 lessons