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Mark Moodie, Ph.D.
Spring 2025
Fall 2024
Course Materials
Lectures in Calculus: Part One (Presentation Slides)
L1 Welcome to Calculus
L2 Review: Functions and their Graphs
L3 Rates of Change and Limits
L4 Continuous Functions and the Definition of a Limit
L5 Introduction to Derivatives
L6 More Derivative Patterns
L7 Further Properties of Derivatives
L8 Introduction to Integration
L9 The Fundamental Theorem of Calculus
Review Problems 1: L1 - L4
Review Problems 2: L5 - L7
Review Problems 3: L8 - L9
Lectures in Calculus: Part Two (Presentation Slides)
L9 Review: The Fundamental Theorem of Calculus
L10 Antidifferentiation of Elementary Functions
L11 Antidifferentiation Strategies and Techniques
L12 More Antidifferentiation Techniques and Applications
L13 Integral Calculus with Polar and Parametric Curves
L14 Numerical Sequences and Series
L15 Absolute Convergence and Power Series
L16 Power Series and Polynomial Approximations
Lectures In Calculus: Part Three
L17 Introduction to Euclidean Spaces
L18 Scalar-Valued Functions, Linear Maps, and Matrices
L19 Functions on Euclidean Spaces
L20 Differential Calculus in Euclidean Space
L21 Further Aspects of Differentiation
L22 Analytic Descriptions of Motion, Area, and Volume
L23 Riemann Integration in Two Dimensions
L24 More Integration Theory and Applications
L25 Green's Theorem and the Divergence Theorems
Precalculus Function Theory (Presentation Slides)
Functions and their Graphs
Polynomial, Rational, and Inverse Functions
Exponential and Logarithmic Functions
College Algebra Lecture Notes (Full Textbook)
Precalculus Math Lecture Notes (Full Textbook)
Notes for a First Course in Linear Algebra
Reading Assignments
Shaded Triangles Within Squares
Exponentiation with Real Exponents
Applications of Calculus to Probability
Rigid Motions of Ellipses, Hyperbolas, Parabolas
Asymptotic Growth Rates of Exponential and Logarithmic Functions
Mathematics at San Jac
AMATYC SML Competition
A Timeline of Mathematics
TRIUMPHS Student Projects and Mini Projects
Contact Information
Biography
Resume/CV
Mark Moodie, Ph.D.
Spring 2025
Fall 2024
Course Materials
Lectures in Calculus: Part One (Presentation Slides)
L1 Welcome to Calculus
L2 Review: Functions and their Graphs
L3 Rates of Change and Limits
L4 Continuous Functions and the Definition of a Limit
L5 Introduction to Derivatives
L6 More Derivative Patterns
L7 Further Properties of Derivatives
L8 Introduction to Integration
L9 The Fundamental Theorem of Calculus
Review Problems 1: L1 - L4
Review Problems 2: L5 - L7
Review Problems 3: L8 - L9
Lectures in Calculus: Part Two (Presentation Slides)
L9 Review: The Fundamental Theorem of Calculus
L10 Antidifferentiation of Elementary Functions
L11 Antidifferentiation Strategies and Techniques
L12 More Antidifferentiation Techniques and Applications
L13 Integral Calculus with Polar and Parametric Curves
L14 Numerical Sequences and Series
L15 Absolute Convergence and Power Series
L16 Power Series and Polynomial Approximations
Lectures In Calculus: Part Three
L17 Introduction to Euclidean Spaces
L18 Scalar-Valued Functions, Linear Maps, and Matrices
L19 Functions on Euclidean Spaces
L20 Differential Calculus in Euclidean Space
L21 Further Aspects of Differentiation
L22 Analytic Descriptions of Motion, Area, and Volume
L23 Riemann Integration in Two Dimensions
L24 More Integration Theory and Applications
L25 Green's Theorem and the Divergence Theorems
Precalculus Function Theory (Presentation Slides)
Functions and their Graphs
Polynomial, Rational, and Inverse Functions
Exponential and Logarithmic Functions
College Algebra Lecture Notes (Full Textbook)
Precalculus Math Lecture Notes (Full Textbook)
Notes for a First Course in Linear Algebra
Reading Assignments
Shaded Triangles Within Squares
Exponentiation with Real Exponents
Applications of Calculus to Probability
Rigid Motions of Ellipses, Hyperbolas, Parabolas
Asymptotic Growth Rates of Exponential and Logarithmic Functions
Mathematics at San Jac
AMATYC SML Competition
A Timeline of Mathematics
TRIUMPHS Student Projects and Mini Projects
Contact Information
Biography
Resume/CV
More
Spring 2025
Fall 2024
Course Materials
Lectures in Calculus: Part One (Presentation Slides)
L1 Welcome to Calculus
L2 Review: Functions and their Graphs
L3 Rates of Change and Limits
L4 Continuous Functions and the Definition of a Limit
L5 Introduction to Derivatives
L6 More Derivative Patterns
L7 Further Properties of Derivatives
L8 Introduction to Integration
L9 The Fundamental Theorem of Calculus
Review Problems 1: L1 - L4
Review Problems 2: L5 - L7
Review Problems 3: L8 - L9
Lectures in Calculus: Part Two (Presentation Slides)
L9 Review: The Fundamental Theorem of Calculus
L10 Antidifferentiation of Elementary Functions
L11 Antidifferentiation Strategies and Techniques
L12 More Antidifferentiation Techniques and Applications
L13 Integral Calculus with Polar and Parametric Curves
L14 Numerical Sequences and Series
L15 Absolute Convergence and Power Series
L16 Power Series and Polynomial Approximations
Lectures In Calculus: Part Three
L17 Introduction to Euclidean Spaces
L18 Scalar-Valued Functions, Linear Maps, and Matrices
L19 Functions on Euclidean Spaces
L20 Differential Calculus in Euclidean Space
L21 Further Aspects of Differentiation
L22 Analytic Descriptions of Motion, Area, and Volume
L23 Riemann Integration in Two Dimensions
L24 More Integration Theory and Applications
L25 Green's Theorem and the Divergence Theorems
Precalculus Function Theory (Presentation Slides)
Functions and their Graphs
Polynomial, Rational, and Inverse Functions
Exponential and Logarithmic Functions
College Algebra Lecture Notes (Full Textbook)
Precalculus Math Lecture Notes (Full Textbook)
Notes for a First Course in Linear Algebra
Reading Assignments
Shaded Triangles Within Squares
Exponentiation with Real Exponents
Applications of Calculus to Probability
Rigid Motions of Ellipses, Hyperbolas, Parabolas
Asymptotic Growth Rates of Exponential and Logarithmic Functions
Mathematics at San Jac
AMATYC SML Competition
A Timeline of Mathematics
TRIUMPHS Student Projects and Mini Projects
Contact Information
Biography
Resume/CV
Further Properties of Derivatives
L7-Further Properties of Derivatives.pdf
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L7-Further Properties of Derivatives.pdf