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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
Identifying Sine, Cosine, Tangent Ratios in Right Triangles (Quick)
Slopes of Perpendicular Lines
Exploring Number of Squares on the Diagonal of a Rectangle
Rectangular Cross Sections
Equilateral Triangle Cross Sections
Discover Resources
Task Sketches
Pre-Calculus
EqDiff_Ordre2_4
Untitled
LR4-03-XT2 (Investigate perpendicular lines)
Discover Topics
Dilation
Fractal Geometry
Logarithmic Functions
Arithmetic Mean
Real Numbers
