M 427JUpper division4 credit hours
M 427J Differential Equations with Linear Algebra
Since 2015, M 427J has averaged 3.27 with 49% A’s. In Spring 2026 it averaged 3.34, above the 3.27 average for undergraduate M classes that term.
Registration detailsBefore you register
Listed for Spring 2027 · UT’s published schedule
UT prerequisites and restrictions
- Prerequisites
- Mathematics 408D, 408L, or 408S with a grade of at least C-.
- Catalog edition
- 2026–27
- Class hours a week
- 5
- Grading
- Letter grade or pass/fail, your choice
- Repeat for credit
- No
Grade distribution
Spring 2026: 1,173 letter grades, 3.34 average GPA, 48% A’s, 12 sections
Bars show the selected term. Short lines show all terms combined.
Grade counts
| Grade | Students | Share | All terms |
|---|---|---|---|
| A | 567 | 48.3% | 49.0% |
| A− | 152 | 13.0% | 9.1% |
| B+ | 99 | 8.4% | 7.4% |
| B | 83 | 7.1% | 10.3% |
| B− | 74 | 6.3% | 5.0% |
| C+ | 51 | 4.3% | 4.0% |
| C | 49 | 4.2% | 5.9% |
| C− | 39 | 3.3% | 2.6% |
| D+ | 14 | 1.2% | 1.1% |
| D | 13 | 1.1% | 1.9% |
| D− | 9 | 0.8% | 0.6% |
| F | 23 | 2.0% | 3.2% |
| Q, W, CR, and others | 110 | Not in the average | |
How have grades changed?
UT’s grade reports show 32 terms from Fall 2015 to Summer 2026 (11 falls, 11 springs, and 10 summers).
Grades by term
| Term | Sections | Letter grades | Average GPA | A’s |
|---|---|---|---|---|
| Summer 2026 | 1 | 61 | 3.50 | 68.9% |
| Spring 2026 | 12 | 1,173 | 3.34 | 48.3% |
| Fall 2025 | 11 | 1,134 | 3.40 | 55.6% |
| Summer 2025 | 1 | 81 | 3.83 | 82.7% |
| Spring 2025 | 12 | 1,192 | 3.70 | 74.5% |
| Fall 2024 | 10 | 1,049 | 3.45 | 58.9% |
| Summer 2024 | 1 | 112 | 3.54 | 61.6% |
| Spring 2024 | 10 | 1,011 | 3.45 | 65.5% |
| Fall 2023 | 9 | 945 | 3.25 | 50.3% |
| Summer 2023 | 1 | 233 | 3.97 | 96.6% |
| Spring 2023 | 9 | 959 | 3.37 | 58.6% |
| Fall 2022 | 9 | 880 | 3.25 | 53.6% |
| Summer 2022 | 1 | 232 | 3.90 | 89.2% |
| Spring 2022 | 10 | 854 | 3.45 | 64.1% |
| Fall 2021 | 9 | 754 | 3.27 | 51.1% |
| Summer 2021 | 1 | 223 | 3.96 | 94.2% |
| Spring 2021 | 8 | 636 | 3.69 | 66.8% |
| Fall 2020 | 7 | 643 | 3.30 | 44.0% |
| Spring 2020 | 8 | 715 | 3.81 | 77.6% |
| Fall 2019 | 9 | 864 | 2.73 | 21.5% |
| Summer 2019 | 1 | 54 | 2.03 | 14.8% |
| Spring 2019 | 9 | 888 | 3.05 | 36.0% |
| Fall 2018 | 11 | 788 | 2.86 | 32.0% |
| Summer 2018 | 1 | 28 | 2.54 | 10.7% |
| Spring 2018 | 11 | 908 | 3.13 | 37.1% |
| Fall 2017 | 10 | 1,064 | 3.07 | 28.0% |
| Summer 2017 | 1 | 53 | 2.94 | 43.4% |
| Spring 2017 | 9 | 867 | 3.13 | 34.6% |
| Fall 2016 | 9 | 887 | 2.89 | 25.4% |
| Summer 2016 | 1 | 35 | 3.40 | 62.9% |
| Spring 2016 | 9 | 867 | 3.03 | 30.2% |
| Fall 2015 | 9 | 919 | 2.86 | 23.4% |
What’s M 427J about?
Ordinary differential equations, introduction to vector spaces, linear operators and eigenvalues, systems of linear differential equations, introduction to partial differential equations and Fourier series. Mathematics 427J and 427K may not both be counted. Five lecture hours a week for one semester.
Prepare for class
- Differential equations
- Eigenvalues
- Linear systems
- Fourier series
Review · Review derivatives of exponentials and matrix multiplication.
Self-check · Does y = 3e^(2t) solve y′ = 2y?
Show the answer
Yes. Its derivative is 6e^(2t), which equals twice y.
Instructor evaluations
UT posts its course evaluation results as one public list per term. Open a term and look for M 427J in it: Spring 2026 · Fall 2025 · Summer 2025 · Spring 2025.
UT’s CES ratings search · Results before Fall 2022 · Syllabi and evaluations for M 427J
The guide links UT’s own results and copies no numbers.
What comes before and after?
Courses named by UT
Leads to
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Sources
The Spring 2027 listing comes from UT’s printed schedule, checked November 9, 2026.
Class details come from UT’s Mathematics catalog page, 2026–27 edition, checked October 27, 2026. Match requirements to your own catalog and degree plan.
Grades come from UT’s grade dashboard, updated October 27, 2026. UT leaves out some small classes to protect students’ privacy.
Each letter grade counts once. A− has its own bar. Subject averages cover the same subject, level, and term, including this class. How the averages are calculated.