The courses you take and the textbooks you need for a standard major in mathematics (electives excluded):

Course |
Textbook |

Calculus |
**Introduction to Calculus** |

Advanced Calculus |
**Vector Calculus** |

Introduction to Ordinary Differential Equations |
**Introduction to Ordinary Differential Equations** |

Introduction to Linear Algebra |
**Introduction to Linear Algebra** |

Partial Differential Equations |
**Partial Differential Equations: An Introduction** |

Abstract Algebra |
**Principles of Abstract Algebra** |

Real Analysis |
**Introductory Real Analysis** |

Algebra^{*} |
**Algebra** |

Complex Analysis |
**A Mathematical Introduction To Complex Analysis** |

Numerical Methods |
**Exploring Numerical Methods For Mathematics** |

Logic |
**Principles of Mathematical Logic: An Introduction** |

Seminar Course |
(Instructor’s Choice) |

^{*} We mean *Abstract* Algebra, not that stuff you do in high school with the x’s and the y’s. In Abstract Algebra we never touch an x or a y, but instead see an awful lot of g and h and a ridiculous number of e’s. And by “Algebra” we mean “Advanced Algebra”, not that stuff from “Abstract Algebra”, which is the introductory course.

Source: **Topics in Algebra,** I N Herstein.

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## Author: Joseph Nebus

I was born 198 years to the day after Johnny Appleseed. The differences between us do not end there. He/him.
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I see you were lucky enough to avoid Basic Algebra I, by Nathan Jacobson

Kids these days have it too easy

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More or less. I went to a Herstein school.

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