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MATH101 Full Semester Notes – University Level Math

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This document is a comprehensive study guide for MATH101 (College Algebra). It includes detailed explanations of core concepts such as linear and quadratic equations, inequalities, functions, graphing, and logarithms. The notes are organized by topic and include examples and step-by-step problem solutions, making it perfect for midterm and final exam preparation. Ideal for first-year university students or anyone reviewing foundational math.

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Harvard University
Course
MATH101








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Institution
Harvard University
Course
MATH101
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Uploaded on
May 17, 2025
Number of pages
1
Written in
2024/2025
Type
Class notes
Professor(s)
Prof. sarah johnson
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All classes

Subjects

  • math101
  • algebra
  • math
  • mathematics

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MATH101 - Essential Math Concepts: Algebra, Functions & Exam Shortcuts


1. Algebra Basics
Understand expressions, equations, and how to solve for unknowns.

Key tip: Always isolate the variable on one side.


2. Functions & Graphs
Know how to interpret linear, quadratic, and exponential functions.

Graph behavior matters: increasing vs. decreasing, intercepts, etc.


3. Exam Shortcuts
Memorize key identities and formulas: a^2 - b^2 = (a-b)(a+b), etc.

Practice solving problems without full steps under time pressure.


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