Introduction to Advanced Calculus by Coursera
Skills you will learn!
Curriculum
28 Topics
Welcome and introduction to Week 1
Differential Calculus Revision (a)
Differential Calculus Revision (b)
The Mean Value Theorem (a)
The Mean Value Theorem (b)
L'Hopital's Rule and Rates of Growth (a)
L'Hopital's Rule and Rates of Growth (b)
The Intermediate Value Theorem (a)
The Intermediate Value Theorem (b)
Newton's Method (a)
Newton's Method (b)
Hyperbolic Functions (a)
Hyperbolic Functions (b)
How to navigate this MOOC
Overview of assessments and activities
Differential Calculus Revision
The Mean Value Theorem
L'Hopital's Rule and Rates of Growth
The Intermediate Value Theorem
Newton's Method
Hyperbolic Functions
Week 1 - Differentiation
Differential Calculus Revision
The Mean Value Theorem
L'Hopital's Rule and Rates of Growth
The Intermediate Value Theorem
Newton's Method
Hyperbolic Functions
36 Topics
Introduction to Week 2
Integral Calculus Review (a)
Integral Calculus Review (b)
Integration by Substitution Review
Early vs Late Transcendentals (a)
Early vs Late Transcendentals (b)
Integration by Parts
Integration by Parts - bonus video
Method of Partial Fractions (a)
Method of Partial Fractions (b)
Volumes and Surface Areas of Revolution (a)
Volumes and Surface Areas of Revolution (b)
Length of a Curve and Work (a)
Length of a Curve and Work (b)
Improper Integrals (a)
Improper Integrals (b)
Improper Integrals - bonus video
Integral Calculus Review
Integration by Substitution Review
Early vs Late Transcendentals
Integration by Parts
Bonus Video
Method of Partial Fractions
Volumes and Surface Areas of Revolution
Length of a Curve and Work
Improper Integrals
Bonus Video notes
Week 2 - Integration
Integral Calculus Review
Integration by Substitution Review
Early vs Late Transcendentals
Integration by Parts
Method of Partial Fractions
Volumes and Surface Areas of Revolution
Length of a Curve and Work
Improper Integrals
16 Topics
Introduction to Week 3
Sequences (a)
Sequences (b)
Geometric and Harmonic Series (a)
Geometric and Harmonic Series (b)
Tests for Convergence (a)
Tests for Convergence (b)
Series Representations of Functions (a)
Series Representations of Functions (b)
Taylor and Maclaurin Polynomials (a)
Taylor and Maclaurin Polynomials (b)
Sequences
Geometric and Harmonic Series
Tests for Convergence
Series Representations of Functions
Taylor and Maclaurin Polynomials
29 Topics
Week 3 - Series Representations of Functions
Sequences
Geometric and Harmonic Series
Tests for Convergence
Series Representations of Functions
Taylor and Maclaurin Polynomials
Introduction to Week 4
Separable Differential Equations (a)
Separable Differential Equations (b)
Equilibrium Solutions
First Order Linear Differential Equations (a)
First Order Linear Differential Equations (b)
Second Order Linear Differential Equations With Constant Coefficients (a)
Second Order Linear Differential Equations With Constant Coefficients (b)
Introduction to Simultaneous Differential Equations
Using the Matrix Exponential to Solve Differential Equations (part 1)
Using the Matrix Exponential to Solve Differential Equations (part 2)
Separable Differential Equations
Equilibrium Solutions
First Order Linear Differential Equations
Second Order Linear Differential Equations With Constant Coefficients
Introduction to Simultaneous Differential Equations
Using the Matrix Exponential to Solve Differential Equations
Week 4 - Introduction to Differential Equations
Separable Differential Equations
Equilibrium Solutions
First Order Linear Differential Equations
Second Order Linear Differential Equations With Constant Coefficients
Introduction to Simultaneous Differential Equations
Introduction to Advanced Calculus
Related Calculus Courses
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