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Calculus
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1. 1 Functions
- Transforming single variable functions
- HW 1
- Approximating cos with a polynomial
- piecewise function transformation
- 1.3 Ex 11
- 1.4 Ex 2
- 11.4 Ex 3
- e^x is cool
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2. 2 Limits & Derivatives
- 2.1 Ex 1 Rock Falling changed
- 2.3 Epsilon-delta definition of limit y=3x-2
- 2.1 Ex 3
- 2.1 Ex 4 Tangent line fail
- 2.1 Ex 5
- 2.2 limits and technology
- 2.2 Weird limit graphs
- Act 2: Epsilon-delta definition of limit y=2x-1
- Epsilon-delta definition of limit sin(1/x)
- 2.5 Squeeze theorem
- 2.6 Ex 1
- 2.6 Ex 2
- 2.6 Ex 4
- 2.6 Ex 5
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3. 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
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4. 6 Applications of Integration
- 6.1 Ex 1 Sphere cross sections
- Shell vs Washer
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5. 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
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6. 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
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7. 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
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8. 10 Sequences and Series
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9. 11 Vectors and the Geometry of Space
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10. 12 Vector Functions
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11. 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
- 13.2 Ex 3
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12. 14 Multiple Integrals
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13. 15 Vector Calculus
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Calculus
Dr. Ian Lundholm, Aug 20, 2019

A companion to our text at Milligan University for calculus 1-3
Table of Contents
- 1 Functions
- Transforming single variable functions
- HW 1
- Approximating cos with a polynomial
- piecewise function transformation
- 1.3 Ex 11
- 1.4 Ex 2
- 11.4 Ex 3
- e^x is cool
- 2 Limits & Derivatives
- 2.1 Ex 1 Rock Falling changed
- 2.3 Epsilon-delta definition of limit y=3x-2
- 2.1 Ex 3
- 2.1 Ex 4 Tangent line fail
- 2.1 Ex 5
- 2.2 limits and technology
- 2.2 Weird limit graphs
- Act 2: Epsilon-delta definition of limit y=2x-1
- Epsilon-delta definition of limit sin(1/x)
- 2.5 Squeeze theorem
- 2.6 Ex 1
- 2.6 Ex 2
- 2.6 Ex 4
- 2.6 Ex 5
- 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
- 10 Sequences and Series
- 11 Vectors and the Geometry of Space
- 12 Vector Functions
- 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
- 13.2 Ex 3
- 14 Multiple Integrals
- 15 Vector Calculus
2 Limits & Derivatives
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1. 2.1 Ex 1 Rock Falling changed
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2. 2.3 Epsilon-delta definition of limit y=3x-2
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3. 2.1 Ex 3
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4. 2.1 Ex 4 Tangent line fail
-
5. 2.1 Ex 5
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6. 2.2 limits and technology
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7. 2.2 Weird limit graphs
-
8. Act 2: Epsilon-delta definition of limit y=2x-1
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9. Epsilon-delta definition of limit sin(1/x)
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10. 2.5 Squeeze theorem
-
11. 2.6 Ex 1
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12. 2.6 Ex 2
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13. 2.6 Ex 4
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14. 2.6 Ex 5
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