Blog 2 — Dr. Anna Harris

Calculus Chapter 1

Chapter 1 Jupyter Notebook (PDF)

1.1 A Preview of Calculus.pdf

1.2 Finding Limits Graphically and Numerically.pdf

1.3.1 Evaluating Limits Analytically.pdf

1.3.2 Strategies for finding Limits.pdf

1.4.1 Continuity and One-Sided Limits.pdf

1.4.2 Continuity and One-Sided Limits (Cont).pdf

1.5 Infinite Limits.pdf

Jupyter Notebook (ipynb)

1.1 A Preview of Calculus.ipynb

1.2 Finding Limits Graphically and Numerically.ipynb

1.3.1 Evaluating Limits Analytically.ipynb

1.3.2 Strategies for finding Limits.ipynb

1.4.1 Continuity and One-Sided Limits.ipynb

1.4.2 Continuity and One-Sided Limits (Cont).ipynb

1.5 Infinite Limits.ipynb

Calculus Chapter 2

Chapter 2 Jupyter Notebook (PDF)

2.1 The Derivative and the Tangent Line Problem.pdf

2.2.1 Basic Differentiation Rules.pdf

2.2.2 Rates of Change.pdf

2.3 Product and Quotient Rules and Higher-Order Derivatives. pdf

2.4 The Chain Rule.pdf

2.5 Implicit Differentiation.pdf

2.6 Related Rates.pdf

Summary of Differentiation Rules.pdf

Jupyter Notebook (ipynb)

2.1 The Derivative and the Tangent Line Problem.ipynb

2.2.1 Basic Differentiation Rules.ipynb

2.2.2 Rates of Change.ipynb

2.3 Product and Quotient Rules and Higher-Order Derivatives. ipynb

2.4 The Chain Rule.ipynb

2.5 Implicit Differentiation.ipynb

2.6 Related Rates.ipynb

Calculus Chapter 3

Chapter 3 Jupyter Notebook (PDF)

3.1 Extrema on an Interval.pdf

3.2 Rolle's Theorem and the Mean Value Theorem.pdf

3.3 Increasing and Decreasing Functions and the First Derivative Test.pdf

3.4 Concavity and the Second Derivative Test.pdf

3.5 Limits at Infinity.pdf

3.6 Summary of Curve Sketching.pdf

Jupyter Notebook (ipynb)

3.1 Extrema on an Interval.ipynb

3.2 Rolle's Theorem and the Mean Value Theorem.ipynb

3.3 Increasing and Decreasing Functions and the First Derivative Test.ipynb

3.4 Concavity and the Second Derivative Test.ipynb

3.5 Limits at Infinity.ipynb

3.6 Summary of Curve Sketching.ipynb

Calculus Chapter 4

Chapter 4 Jupyter Notebook (PDF)

4.1 Antiderivatives and Indefinite Integration.pdf

4.2.1 Area/Sigma Notation.pdf

4.2.2 Area/Area of a Plane region.pdf

4.2.3 Area/Limit Definition.pdf

4.3.1 Riemann Sums and Definite Integrals.pdf

4.3.2 Properties of Definite Integrals.pdf

4.4.1 The Fundamental Theorem of Calculus/Lesson 1.pdf

4.4.2 The Fundamental Theorem of Calculus/Lesson 2.pdf

4.5.1 Integration by Substitution/Lesson 1.pdf

4.5.1 Integration by Substitution/Lesson 2.pdf

Jupyter Notebook (ipynb)

4.1 Antiderivatives and Indefinite Integration.ipynb

4.2.1 Area/Sigma Notation.ipynb

4.2.2 Area/Area of a Plane region.ipynb

4.2.3 Area/Limit Definition.ipynb

4.3.1 Riemann Sums and Definite Integrals.ipynb

4.3.2 Properties of Definite Integrals.ipynb

4.4.1 The Fundamental Theorem of Calculus/Lesson 1.ipynb

4.4.2 The Fundamental Theorem of Calculus/Lesson 2.ipynb

4.5.1 Integration by Substitution/Lesson 1.ipynb

4.5.1 Integration by Substitution/Lesson 2.ipynb

Calculus Chapter 5

Calculus 2