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Outline
Mathematical Foundations
Functions
Differentiation
Integration
Vectors
Complex numbers
Mathematical Foundations
Author:
Juan Carlos Ponce Campuzano
Topic:
Calculus
,
Vectors
Supplementary material for Mathematical Foundations (MATH1050) University of Queensland
Table of Contents
Functions
Real functions
Domain and range of real functions
Representation of real functions
Solving inequalities
Exponential and logarithmic functions
Solving inequalities
A mathematical model (gravity and water)
Differentiation
Relationship between a function and its derivative
Mathematical optimization: Building a rectangular pen
Box problem (right square prism)
Cylinder container
Integration
Riemann sums for continuous functions
Riemann sums
Vectors
Relative velocity: Boat problem
Inclined plane forces
Addition of vectors
Scalar multiplication
Dynamic Frenet-Serret frame
Complex numbers
Roots of a complex number
Next
Real functions
New Resources
Fractals: The Pythagoras tree
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seo tool
Derivative and Differential - A Geometric Point of View
Discover Resources
Point Slope Form Exploration
Angle Bisector of a Triangle Trial
Average velocity
met_ant
Discover Topics
Scatter Plot
Circle
Combinatorics
Mathematics
Parametric Curves
