Precalculus

  1. Sequences, Series, and Mathematical Induction
    1. Sequences
      1. Definition of Sequence
        1. Terms of a Sequence
          1. Finite and Infinite Sequences
            1. Recursive Formulas
              1. Explicit Formulas
                1. Finding Terms of Sequences
                2. Arithmetic Sequences
                  1. Definition and Common Difference
                    1. General Term Formula
                      1. Finding Specific Terms
                        1. Finding Common Difference
                        2. Geometric Sequences
                          1. Definition and Common Ratio
                            1. General Term Formula
                              1. Finding Specific Terms
                                1. Finding Common Ratio
                                2. Series and Summation Notation
                                  1. Definition of Series
                                    1. Summation (Sigma) Notation
                                      1. Index of Summation
                                        1. Lower and Upper Limits
                                        2. Properties of Summation
                                          1. Factorial Notation
                                          2. Arithmetic Series
                                            1. Sum of Finite Arithmetic Series
                                              1. Formula Derivation
                                              2. Geometric Series
                                                1. Sum of Finite Geometric Series
                                                  1. Sum of Infinite Geometric Series
                                                    1. Convergence Condition
                                                      1. Formula for Convergent Series
                                                      2. Applications
                                                        1. Annuities
                                                          1. Repeating Decimals
                                                        2. The Binomial Theorem
                                                          1. Binomial Coefficients
                                                            1. Combination Notation
                                                              1. Pascal's Triangle
                                                              2. Binomial Expansion
                                                                1. General Term in Binomial Expansion
                                                                  1. Applications of Binomial Theorem

                                                                Previous

                                                                9. Systems of Equations and Matrices

                                                                Go to top

                                                                Next

                                                                11. Introduction to Limits and Continuity