Embry-Riddle (ERAU) MATH 112 Help & Answers

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MATH 112 Embry-Riddle Help: Applied Calculus for Aviation

Derivatives, integrals, and optimization — all with aviation applications that actually matter for your career. MATH 112 is where ERAU students discover whether calculus clicks or crashes. We’re here to make sure you land safely.

Quick Answer: What is MATH 112?

MATH 112 Applied Calculus for Aviation is a 3-credit course covering differentiation and integration with real aviation applications. You’ll use MyMathLab for homework, Canvas for CIN discussions, and Respondus for proctored exams. The textbook is Washington & Evans (same as MATH 111), covering Chapters 23-26.

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Course Overview: What MATH 112 Covers

MATH 112 Applied Calculus for Aviation is the second half of Embry-Riddle’s aviation mathematics sequence. Where MATH 111 built your foundation in algebra, functions, and trigonometry, MATH 112 introduces the calculus concepts that explain how things change — velocity, acceleration, optimization, and accumulation.

The course is specifically designed for aviation students, which means every concept connects to real applications: calculating the braking distance of an aircraft, optimizing fuel consumption, analyzing the trajectory of a rocket, or determining the force on rotating turbine blades. This isn’t abstract math — it’s the mathematics that underlies flight.

Derivative as tangent line slope visualization

The derivative represents the slope of the tangent line — the instantaneous rate of change at any point.

You’ll use the same textbook from MATH 111 — Washington and Evans, Basic Technical Mathematics with Calculus (11th edition) — but now you’re diving into Chapters 23-26, the calculus portion. MyMathLab remains your homework platform, and Canvas handles discussions, turn-in assignments, and proctored exams via Respondus LockDown Browser.

Core Topics in MATH 112

Limits & Continuity

Foundation for understanding instantaneous change

Differentiation Rules

Power, product, quotient, and chain rules

Motion Equations

Position, velocity, and acceleration relationships

Optimization

Finding maximum and minimum values

Definite Integrals

Calculating area and accumulated quantities

Numerical Integration

Trapezoidal rule approximations

Module-by-Module Breakdown

MATH 112 runs for 9 weeks with a midterm around Week 5 and a cumulative final in Week 9. Each module builds on the previous one, so falling behind early creates compounding problems later. Here’s what you’ll encounter:

Module Topics Key Assignments
Module 1 Limits and Continuity MML HW, Intro Discussion
Module 2 Derivatives: Definition, Power Rule, Tangent Lines MML HW, CIN Discussion (Centrifugal Force)
Module 3 Product Rule, Quotient Rule MML HW, Turn-In Assignment
Module 4 Chain Rule, Higher-Order Derivatives MML HW, CIN Discussion (Rocket Trajectory)
Module 5 Midterm Exam, Curve Sketching Proctored Midterm (Respondus)
Module 6 Optimization: Maximum and Minimum Values MML HW, CIN Discussion (Min/Max Task)
Module 7 Antiderivatives, Indefinite Integrals MML HW, Turn-In Assignment
Module 8 Definite Integrals, Trapezoidal Rule MML HW, CIN Discussion (Area Problems)
Module 9 Area Between Curves, Final Exam Proctored Final (Respondus), CIN Application

Relationship between position, velocity, and acceleration graphs

Position, velocity, and acceleration are connected through differentiation — velocity is the derivative of position, acceleration is the derivative of velocity.

Why MATH 112 Challenges Aviation Students

MATH 112 has a reputation among ERAU Worldwide students. The jump from pre-calculus to calculus isn’t just about learning new rules — it requires a fundamentally different way of thinking about change and accumulation. Here’s where students typically struggle:

Chain Rule Complexity

The chain rule is conceptually simple but applying it to composite functions (especially with trigonometric and exponential components from MATH 111) requires recognizing nested structures that many students miss.

Word Problem Translation

Aviation-themed problems require translating physical scenarios (centrifugal force, drag equations, braking distance) into mathematical expressions before you can even start the calculus.

Optimization Setup

Module 6 optimization problems require setting up the function to optimize, taking the derivative, solving for critical points, and verifying max/min — a multi-step process where errors compound.

Integration as Reverse Differentiation

After weeks of learning differentiation rules, students must now think backwards. Recognizing which rule produced a given function requires pattern matching that takes practice.

Time Pressure for Military Students

Many ERAU Worldwide students are active-duty military or working professionals. The 9-week compressed format, combined with deployments and shift work, makes consistent study challenging.

How We Help With MATH 112

We’ve helped hundreds of students navigate MATH 112’s specific challenges. Here’s how our support works:

1

MyMathLab Homework Completion

We work through your MML assignments with full solutions. You get the completion credit while seeing exactly how each problem is solved — useful for exam prep.

2

CIN Discussion Solutions

Your custom identification number makes your problems unique. We apply your CIN digits to the problem template and provide complete solutions formatted for Canvas submission.

3

Turn-In Assignments with MathType

Some modules require Word documents with properly formatted equations. We create professional documents using MathType that meet ERAU formatting standards.

4

Exam Preparation Resources

While you’ll take proctored exams yourself, we prepare you with topic summaries, practice problems, and the conceptual understanding you need to perform on test day.

Optimization showing maximum and minimum points on a curve

Optimization problems find where derivatives equal zero — the critical points where functions reach their maximum or minimum values.

Mastering CIN Discussion Problems

CIN (Custom Identification Number) problems are a distinctive feature of ERAU math courses. Each student receives a unique 5-digit number, and problem variables are determined by those digits. For example, if your CIN is 24639, your problem might use a = 2, b = 4, c = 6, d = 3, e = 9.

This system prevents copying but creates additional complexity — you can’t just find someone else’s solution online because your numbers are different. Here are the typical CIN discussion themes in MATH 112:

Common CIN Discussion Topics

  • Module 2: Centrifugal force on turbine blades — find instantaneous rate of change as velocity increases
  • Module 4: Rocket trajectory — find where the tangent line intersects the target
  • Module 6: Min/Max task — optimize parking, fencing, box dimensions, or fuel consumption
  • Module 8: Area problems — evaluate definite integrals with your custom bounds
  • Module 9: Application CIN — comprehensive problem combining multiple calculus concepts

When you send us your CIN, we substitute your specific digits into the problem template and provide complete, step-by-step solutions. This ensures your submission is both unique and correct.

Definite integral representing area under a curve

The definite integral calculates the exact area under a curve between two bounds — used in aviation for distance, work, and accumulation problems.

Midterm and Final Exam Preparation

MATH 112 exams are proctored using Respondus LockDown Browser with webcam monitoring. The midterm covers Modules 1-4 (limits through chain rule), while the final is cumulative with emphasis on Modules 6-9 (optimization through integration).

Since you must take these exams yourself, our role shifts to preparation. We ensure you understand the concepts through your homework solutions, provide targeted practice on common exam problem types, and clarify any confusion before test day.

Exam Day Checklist

  • Download and test Respondus LockDown Browser before exam day
  • Ensure your webcam and microphone are working
  • Have your scientific/graphing calculator ready (TI-83/84 recommended)
  • Clear your workspace — no notes, phones, or secondary devices
  • Stable internet connection is essential throughout
  • Review MML Study Plan for personalized practice based on homework performance

Riemann sum approximation with rectangles under a curve

The trapezoidal rule approximates integrals using trapezoids — a numerical method you’ll apply in Module 8.

Related ERAU Courses

MATH 112 is part of a larger ecosystem of Embry-Riddle mathematics and science courses. Here’s how it connects:

Frequently Asked Questions

What topics are covered in ERAU MATH 112?

MATH 112 covers differentiation and integration of algebraic functions with aviation applications. Topics include limits, derivatives (power rule, chain rule, product/quotient rules), optimization problems, definite integrals, area calculations, and motion equations for velocity and acceleration.

What platform does MATH 112 use for homework?

MATH 112 uses Pearson MyMathLab (MyLab Math) for homework assignments and practice problems. The course also uses Canvas for discussions, turn-in assignments, and grade management.

What textbook is required for MATH 112?

MATH 112 uses Basic Technical Mathematics with Calculus by Washington and Evans (11th edition, 2018). This is the same textbook used in MATH 111, with MATH 112 covering Chapters 23-26 on calculus topics.

What are CIN problems in MATH 112?

CIN (Custom Identification Number) problems are personalized discussion assignments where each student applies their unique 5-digit number to customize problem variables. This ensures every student works with different numbers while solving the same type of aviation-themed calculus problem.

Is MATH 112 harder than MATH 111?

MATH 112 builds directly on MATH 111 and introduces calculus concepts. While some students find derivatives intuitive, integration and optimization problems require stronger algebraic skills. The aviation applications (trajectory, braking distance, force optimization) add real-world complexity.

Are MATH 112 exams proctored?

Yes, MATH 112 midterm and final exams are typically proctored using Respondus LockDown Browser with webcam monitoring through Canvas. Students must complete exams in a secure testing environment.

What calculator is allowed in MATH 112?

A scientific or graphing calculator is required for MATH 112. The TI-83 or TI-84 is commonly recommended. Graphing calculators are particularly helpful for visualizing derivatives and verifying integration results.

How does MATH 112 relate to other ERAU math courses?

MATH 112 is the direct continuation of MATH 111. Together they form the complete aviation mathematics sequence. Students who need more rigorous calculus (engineering majors) would take MATH 241/242 instead. MATH 112 satisfies the calculus requirement for Professional Aeronautics and related programs.

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