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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
Periodic Functions
Lorenz Attractor: Multiple particles
Woven
Monkey typing Shakespeare's complete works
Cube of a Binomial - Volume Model
Discover Resources
C2 Transformations 1
Pompe_animation
Virtual Fish-tank - Independent Events
Euler's Line
circumcenter
Discover Topics
Logarithm
Set Theory
Sequences and Series
Sine
Fractions