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Outline
Calculus
1 Functions
2 Limits & Derivatives
3 Differentiation
6 Applications of Integration
7 Techniques of Integration
8 Differential Equations
9 Parametric Equations and Polar Coordinates
13 Partial Derivatives
Calculus
Author:
Dr. Ian Lundholm
Topic:
Calculus
A companion to our text at Milligan University for calculus 1-3
Table of Contents
1 Functions
Transforming single variable functions
HW 1
2 Limits & Derivatives
2.1 Ex 1 Rock Falling (change this)
2.1 Ex 3 Tangent line
2.1 Ex 4 Tangent line fail
2.1 Ex 5
2.2 limits and technology
2.3 Epsilon-delta definition of limit y=3x-2
Act 2: Epsilon-delta definition of limit y=2x-1
3 Differentiation
Act 4 211 interactive
3.4 Chain rule
3.4 Chain rule (video)
Act 5 211 Interactive
HW 5
Activity 6
3.9 dy vs delta y
3.9 #59 differentials
6 Applications of Integration
6.1 Ex 1 Sphere cross sections
Shell vs Washer
7 Techniques of Integration
Copy of Numerical Integration
Copy of Visual Comparison of Simpson's Rule and Trapezium Rule
7.7 Ex 1
7.7 Ex 2
7.7 Ex 3
7.7 Ex 8
7.7 Ex 9
Act 3
8 Differential Equations
8.1 Ex1
8.1 Ex2
8.1 Ex3
8.1 Ex3 with fun colors
8.1 Ex4
8.3 Ex 1
Copy of Euler Method Explore
9 Parametric Equations and Polar Coordinates
9.1 Parametric Equations
9.1 Ex 4 Cycloid
9.1 Francois
9.2 #71 Cycloid with tangent, normal
13 Partial Derivatives
13.1 Ex 7
13.1 Ex 6
13.1 Ex 4
13.1 Ex 3
13.1 Ex 1, 2, 5
13.4 Cylinder change with t
Next
Transforming single variable functions
New Resources
Poorly Drawn Parallelograms 3
Variation Theory Parallelogram Proofs
Average Rate of Change: Graph a Function (1)
Dissections by Guillermo Bautista
Shadow of a Cube (v2)
Discover Resources
動く長方形
Angles at the circumference, and Angles in the centre
TCsKG Taks 3.2
Right Triangle Properties
Ordaz,Sandra. Introduction Geogebra Project
Discover Topics
Numbers
Pyramid
Line Segment
Exponent
Circumcircle or Circumscribed Circle