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MATH 405: Algebraic Geometry
An overview of algorithms and techniques inspired by geometry and used to solve systems of polynomial equations. Topics include affine varieties, polynomials, the division algorithm, Groebner bases, elimination theory, Hilbert's Nullstellensatz, the ideal-variety correspondence and basic projective geometry.
Offered in 3 of the 26 listed terms (Spring 2021 to Winter 2026).
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Prerequisites
MATH 204 and (MATH 302 or MATH 309)
Prerequisite tree
Each course's own prerequisites, down to the first courses in the chain.
- MATH 204 Elementary Linear Algebra
requires MATH 125 or MATH 135 or MATH 138- MATH 125 Calculus and Analytic Geometry II
requires MATH 124 or MATH 134 or Calculus AB AP Exam (AP66), score 4 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 4- MATH 124 Calculus and Analytic Geometry I
requires MPT - Advanced - Scaled Score, score 153 or MATH 115 or MATH 118 or Precalculus AP Exam (AP65), score 5 or Calculus BC AP Exam (AP68), score 3 or Calculus AB AP Exam (AP66), score 2 or Calc AB Subscore AP Exm (AP69), score 2 or Pre-Calculus 2 (PC2), score 2.30 or ALEKS Math Placement Assessmnt, score 80- MATH 115 Precalculus II
requires MATH 114 or Precalculus AP Exam (AP65), score 4 or ALEKS Math Placement Assessmnt, score 65- MATH 114 Precalculus I
requires MPT General - Scaled Score, score 153 or MPT - Advanced - Scaled Score, score 143 or ALEKS Math Placement Assessmnt, score 55 or MATH 112 or Precalculus AP Exam (AP65), score 3 or College Algebra (CA), score 1.70 or Pre-Calculus 1 (PC1), score 1.70- MATH 112 Functions and Algebraic Methods
requires MPT - Advanced - Scaled Score, score 143 or MATH 099 (minimum grade YP) or College Algebra (CA), score 1.70 or Intermediate Algebra (IA), score 1.70 or MPT General - Scaled Score, score 148 or ALEKS Math Placement Assessmnt, score 35 or Precalculus AP Exam (AP65), score 2 or MATH 197C (minimum grade S) or MATH 109 (minimum grade S) (continues on its page)
- MATH 112 Functions and Algebraic Methods
- MATH 114 Precalculus I
- MATH 118 Accelerated Precalculus
requires MPT General - Scaled Score, score 158 or MPT - Advanced - Scaled Score, score 149 or Precalculus AP Exam (AP65), score 4 or Calculus AB AP Exam (AP66), score 2 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 2 or ALEKS Math Placement Assessmnt, score 70
- MATH 115 Precalculus II
- MATH 134 Calculus I Honors
requires MATH 115 (minimum grade A) or MATH 118 (minimum grade A) or Math Placement - Advanced 2, score 20 or Precalculus AP Exam (AP65), score 5
- MATH 124 Calculus and Analytic Geometry I
- MATH 135 Calculus II Honors
- MATH 138 Accelerated Calculus
requires Calculus AB AP Exam (AP66), score 4 or Calculus BC AP Exam (AP68), score 3 or Calc AB Subscore AP Exm (AP69), score 4 or (Calculus BC AP Exam (AP68), score 2 and Calc AB Subscore AP Exm (AP69), score 3)
- MATH 125 Calculus and Analytic Geometry II
- MATH 302 Introduction to Proofs Via Number Theory
requires MATH 125 or MATH 135 or MATH 138 - MATH 309 Introduction to Proof in Discrete Mathematics
From Banner's catalog for Spring 2027. Banner lists only the requisites it enforces, so check the catalog entry too.
Required by (0)
No course lists it as a prerequisite.
Syllabi and course websites
None listed yet.
Instructors
| Instructor | Sections | Terms |
|---|---|---|
| Nyman, Adam | 2 | Winter 2024 to Winter 2026 |
| Meier, Jeffrey | 1 | Spring 2021 |
Every offering in the listed terms (3 sections)
| Term | Sec | CRN | Type | Meets | Instructor | Enrolled | Delivery |
|---|---|---|---|---|---|---|---|
| Winter 2026 | 0 | 13500 | Lecture | MTRF 9:00am-9:50am · BH 417 | Nyman, Adam | 13/18 | Face to Face Instruction |
| Winter 2024 | 0 | 13925 | Lecture | MTRF 11:00am-11:50am · MH 113 | Nyman, Adam | 11/15 | Face to Face Instruction |
| Spring 2021 | 0 | 23050 | Lecture | MTRF 2:00pm-2:50pm · REMOTE SYNC | Meier, Jeffrey | 14/25 | Face to Face Instruction |