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CU Boulder
Applied Mathematics
4 credits

CU Boulder APPM 1360: Calculus 2 for Engineers

APPM 1360 continues the engineering calculus sequence — integration techniques and applications, improper integrals, and infinite series through Taylor's theorem. CU Boulder engineering students widely consider it the harder half of the first-year pair.

Fennie is independent and not affiliated with University of Colorado Boulder. This is an unofficial study guide.

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What makes it hard

Two separate walls: integration technique selection is a pattern-recognition skill that only volume builds, and the series unit is conceptually unlike everything before it — convergence reasoning instead of computation. Students who scraped through 1350 on shaky fundamentals usually meet the harder wall here at full engineering pace.

What you'll cover

  • Techniques of integration
  • Applications of the definite integral
  • Improper integrals
  • Sequences and series
  • Convergence tests
  • Taylor's theorem and power series

The APPM 1360 study guide

How to study for CU Boulder APPM 1360, step by step.

  1. 1

    Do mixed integral sets from the first week

    Knowing whether an integral wants substitution, parts, or partial fractions is APPM 1360's first exam skill. Topic-sorted homework can't build it — only large volumes of mixed practice can.

  2. 2

    Keep differentiation and algebra warm

    Integration punishes weak APPM 1350 skills twice as hard. A short weekly refresher on derivatives and algebraic manipulation stops old gaps from resurfacing inside new problems.

  3. 3

    Start the series unit before the course does

    Convergence reasoning is a conceptual leap that needs more sittings than computation ever did. Read ahead before the unit opens — at engineering pace, learning it in real time is the standard way students drown.

  4. 4

    Build a convergence-test decision chart

    One page: each test, its conditions, the series shapes it handles. Practice classifying series rapidly with the chart, then without — exams grade the choice of test as much as the execution.

  5. 5

    Simulate the timed exams before each one

    Mixed integrals plus series questions under real time limits, no notes. The curved common exams are built to break untimed-homework confidence, so rehearse the actual event.

  6. 6

    Build the reps on a Fennie Daily Plan

    Upload the APPM 1360 syllabus and Fennie schedules daily mixed-technique practice paced to exams, with the series unit given extra runway and quizzes generated from your actual course content. Free to start.

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How Fennie helps with APPM 1360

Fennie's Daily Plans build APPM 1360's pattern-recognition reps — daily mixed integrals paced to the exam dates, with the series unit started early by design. Chat through which convergence test applies and why, the exact decision skill the series questions grade.

FAQ

Is APPM 1360 harder than APPM 1350?

Most CU Boulder engineering students say yes. Technique selection requires volume-built pattern recognition, and the series unit is a conceptual leap that catches even students who handled 1350 comfortably — all at the same compressed pace.

How do I study for APPM 1360 exams?

Large mixed integral sets so technique choice becomes automatic, plus a convergence-test decision chart you practice with and then without. Then simulate the timed exam — the curve punishes accurate-but-slow as hard as wrong.

Why is the series unit in APPM 1360 so hard?

It's the first calculus topic that's more logic than computation: proving whether infinite sums converge using a toolkit of tests with specific conditions. It inverts how most students studied until now, which is why it rewards an early start.

Pass APPM 1360 with a plan, not a cram

Upload your APPM 1360 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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