MATH 216 - Study guides, Class notes & Summaries

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MATH 216 - Midterm revision Exam Questions and answers
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13

November 2025

2025/2026

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MATH 216 - Midterm revision Exam Questions and answers What is direct proof? Imagine you're trying to show something is true. In a direct proof, you start with what you know is true and logically follow steps to show that the thing you're trying to prove is also true. It's like walking directly from point A to point B without any detours. What is proof by contradiction?
DrJOHNJAMES
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MATH 216 Premid-Midterm Exam Questions and answers
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9

November 2025

2025/2026

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MATH 216 Premid-Midterm Exam Questions and answers set - It is a well-collection of distinct objects. elements or the members of the set - The object in a set are called? x ∈ A y ∉ A - If x is an element of the set A we write __________, whereas _______ means y is not an element of A. Empty set - It is a set which contains no elements and is denoted by ɸ. ℕ - the set of all non-negative integers
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Math 216 Midterm #2 Exam Questions and answers
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2

November 2025

2025/2026

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Math 216 Midterm #2 Exam Questions and answers general homogenous solution second order linear equations - 1. guess homogenous solution = e^λt 2. plug into equation 3. 2 roots: c1e^λt +c2e^λt 4. 1 root: c1e^λt +c2*t*e^λt 5. imaginary roots: a+- bi -> e^λt(c1cos(5t)+c2sin(5t)) method of undetermined coefficients - 1. solve non-homogenous 2. guess that xp(t) has same form of f(t), with coefficients
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MATH 216 Midterm Review Exam Questions and answers
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1

November 2025

2025/2026

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MATH 216 Midterm Review Exam Questions and answers phase amplitude form x= c₁cos(βt)+c₂sin(βt) = Acos(βt-δ), A=√(c₁²+c₂²), if c₁ ≥ 0, δ=arctan(c₂/c₁). Otherwise, δ=arctan(c₂/c₁)+π overdamped D>0 critically damped
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Math 216 Midterm #1 Exam Questions and answers
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2

November 2025

2025/2026

A+
Math 216 Midterm #1 Exam Questions and answers equilibrium solution where slope = 0 limit of the solution stability of an equilibrium solution STABLE- solutions on both sides go to equilibrium solution ( -> <-) SEMI-STABLE- one side goes towards equilibrium the other away ( -> ->) UNSTABLE- both sides move away from equilibirum ( <- ->) *solve this by looking at the slope for <solution and >solution
DrJOHNJAMES
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Exam (elaborations)

Math 215 Midterm Exam Questions and answers
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8

November 2025

2025/2026

A+
Math 215 Midterm Exam Questions and answers Statistics - science of collecting, analyzing, presenting and interpreting data, as well as making decisions based on such analyses descriptive statistics - methods for organizing, displaying and describing data using tables, graphs and summary measures data set - whole set of numbers representing information element - subject or object about which information is collected
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