Michigan MATH 115: Calculus I
MATH 115 is Michigan's first-semester calculus course, covering limits, derivatives, and an introduction to integration, required across engineering, science, and economics tracks. It's taught in small sections but standardized across the department, with uniform team-written exams for everyone.
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Build my MATH 115 study planWhat makes it hard
Michigan calculus is famous for conceptual, multi-step exam problems — you can't pass on memorized derivative rules alone. The uniform exams emphasize word problems, graphical reasoning, and explanation, and exam medians frequently land in the 60s-70s. Students coming off AP Calculus are often surprised by how different the style is.
What you'll cover
- • Limits and continuity
- • Derivatives and differentiation rules
- • Applications: optimization and related rates
- • Graphical and numerical reasoning
- • Introduction to the definite integral
The MATH 115 study guide
How to study for Michigan MATH 115, step by step.
- 1
Treat MATH 115 as a new course, not an AP repeat
Michigan's uniform exams test conceptual word problems and graphical reasoning, not the computation AP Calculus rewarded. Reset your study habits in week one instead of waiting for the first exam to do it for you.
- 2
Take web homework and team homework seriously
Team homework problems are deliberately harder than lecture examples and mirror the multi-step style of the uniform exams. Doing them honestly is exam prep, not busywork.
- 3
Work old uniform exams from the archive
Michigan's math department keeps past MATH 115 exams available, and they're the best predictor of what you'll face. Work them under timed conditions, ideally in the evening to match the uniform evening-exam slot.
- 4
Practice explaining why, not just what
The exams grade reasoning — write out the justification for each answer in full sentences when you practice. If you can't explain why an answer is true, you don't have the points yet.
- 5
Hand the pacing to Fennie
Upload your MATH 115 syllabus and Fennie's Daily Plans build a steady day-by-day schedule around the uniform exam dates, with quizzes and flashcards generated from your actual course materials so nothing piles up. Free to start.
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How Fennie helps with MATH 115
Upload your MATH 115 syllabus and Fennie's Daily Plans build a steady schedule around the uniform exam dates, with web homework and team homework slotted in so nothing piles up. Chat through the conceptual word problems Michigan loves — explaining your reasoning to Fennie is exactly the skill the exams grade — and quiz yourself before each midterm.
FAQ
Is MATH 115 at Michigan hard?
Harder than most students expect, even with AP Calc credit. The uniform exams test conceptual understanding and word problems rather than rote computation, and medians in the 60s-70s are normal. Treat it as a new course, not a repeat of high school calculus.
How do I pass MATH 115 at Michigan?
Do every web homework and team homework seriously, and practice old uniform exams — they're the best predictor of what you'll see. Focus on explaining why answers are true, since the exams grade reasoning, not just final answers.
Should I take MATH 115 or 116 with AP credit?
A 4 or 5 on AP Calc AB typically places you into MATH 116. Many students with AB credit still choose 115 for a stronger footing — but be aware the Michigan exam style is a step up either way, so the placement isn't a free A.
Pass MATH 115 with a plan, not a cram
Upload your MATH 115 materials and Fennie generates a Daily Plan paced to your deadline — plus chat, flashcards, and quizzes built from the actual course content.
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MATH 116 — Calculus II
MATH 116 covers integration techniques, applications of integrals, sequences and series, and Taylor series — the second course in Michigan's standardized calculus sequence. It feeds directly into engineering and physics requirements and uses the same uniform team-exam format as MATH 115.
MATH 214 — Applied Linear Algebra
MATH 214 is the applications-focused linear algebra course, covering systems of equations, matrix algebra, eigenvalues, orthogonality, and applications like least squares and dynamical systems. It's the standard linear algebra route for engineering students who don't need the proof-based MATH 217.
MATH 215 — Multivariable and Vector Calculus
MATH 215 covers calculus in three dimensions — partial derivatives, multiple integrals, and vector calculus through Green's, Stokes', and the Divergence theorems. It follows MATH 116 in the standard sequence and is required across engineering and physical science programs, with a computer lab component using MATLAB.
MATH 217 — Linear Algebra
MATH 217 is Michigan's proof-based linear algebra course — the same core material as MATH 214 plus rigorous proofs, abstract vector spaces, and linear transformations treated properly. It's required for the math major and is the standard transition course into theoretical upper-level mathematics.