Introduction to Calculus by Coursera
Skills you will learn!
Curriculum
27 Topics
Welcome and introduction to Module 1
Real line decimals and significant figures
The Theorem of Pythagoras and properties of the square root of 2
Algebraic expressions surds and approximations
Equations and inequalities
Sign diagrams solution sets and intervals (Part 1)
Sign diagrams solution sets and intervals (Part 2)
Coordinate systems
Distance and absolute value
Lines and circles in the plane
Notes: Real line decimals and significant figures
Notes: The Theorem of Pythagoras and properties of the square root of 2
Notes: Algebraic expressions surds and approximations
Notes: Equations and inequalities
Notes: Sign diagrams solution sets and intervals
Notes: Coordinate systems
Notes: Distance and absolute value
Notes: Lines and circles in the plane
Real line decimals and significant figures
The Theorem of Pythagoras and properties of the square root of 2
Algebraic expressions surds and approximations
Equations and inequalities
Sign diagrams solution sets and intervals
Coordinate systems
Distance and absolute value
Lines and circles in the plane
Module 1 quiz
38 Topics
Introduction to Module 2
Parabolas and quadratics
The quadratic formula
Functions as rules with domain range and graph
Polynomial and power functions
Composite functions
Inverse functions
The exponential function
The logarithmic function
Exponential growth and decay
Sine cosine and tangent
The unit circle and trigonometry
Inverse circular functions
Notes: Parabolas and quadratics
Notes: The quadratic formula
Notes: Functions as rules with domain range and graph
Notes: Polynomial and power functions
Notes: Composite functions
Notes: Inverse functions
Notes: The exponential function
Notes: The logarithmic function
Notes: Exponential growth and decay
Notes: Sine cosine and tangent
Notes: The unit circle and trigonometry
Notes: Inverse circular functions
Parabolas and quadratics
The quadratic formula
Functions as rules with domain range and graph
Polynomial and power functions
Composite functions
Inverse functions
The exponential function
The logarithmic function
Exponential growth and decay
Sine cosine and tangent
The unit circle and trigonometry
Inverse circular functions
Module 2 quiz
33 Topics
Introduction to Module 3
Slopes and average rates of change
Displacement velocity and acceleration
Tangent lines and secants
Different kinds of limits
Limit laws
Limits and continuity
The derivative as a limit
Finding derivatives from first principles
Leibniz notation
Differentials and applications (Part 1)
Differentials and applications (Part 2)
Notes: Slopes and average rates of change
Notes: Displacement velocity and acceleration
Notes: Tangent lines and secants
Notes: Different kinds of limits
Notes: Limit laws
Notes: Limits and continuity
Notes: The derivative as a limit
Notes: Finding derivatives from first principles
Notes: Leibniz notation
Notes: Differentials and applications
Slopes and average rates of change
Displacement velocity and acceleration
Tangent lines and secants
Different kinds of limits
Limit laws
Limits and continuity
The derivative as a limit
Finding derivatives from first principles
Leibniz notation
Differentials and applications
Module 3 quiz
41 Topics
Introduction to Module 4
Increasing and decreasing functions
Sign diagrams
Maxima and minima
Concavity and inflections
Curve sketching
The Chain Rule
Applications of the Chain Rule
The Product Rule
Applications of the Product Rule
The Quotient Rule
Application of the Quotient Rule
Optimisation
The Second Derivative Test
Notes: Increasing and decreasing functions
Notes: Sign diagrams
Notes: Maxima and minima
Notes: Concavity and inflections
Notes: Curve sketching
Notes: The Chain Rule
Notes: Applications of the Chain Rule
Notes: The Product Rule
Notes: Applications of the Product Rule
Notes: The Quotient Rule
Notes: Application of the Quotient Rule
Notes: Optimisation
Notes: The Second Derivative Test
Increasing and decreasing functions
Sign diagrams
Maxima and minima
Concavity and inflections
Curve sketching
The Chain Rule
Applications of the Chain Rule
The Product Rule
Applications of the Product Rule
The Quotient Rule
Application of the Quotient Rule
Optimisation
The Second Derivative Test
Module 4 quiz
33 Topics
Introduction to Module 5
Inferring displacement from velocity
Areas bounded by curves
Riemann sums and definite integrals
The Fundamental Theorem of Calculus and indefinite integrals
Connection between areas and derivatives (Part 1)
Connection between areas and derivatives (Part 2)
Integration by substitution (Part 1)
Integration by substitution (Part 2)
Odd and even functions (Part 1)
Odd and even functions (Part 2)
The logistic function (Part 1)
The logistic function (Part 2)
The escape velocity of a rocket
Notes: Inferring displacement from velocity
Notes: Areas bounded by curves
Notes: Riemann sums and definite integrals
Notes: The Fundamental Theorem of Calculus and indefinite integrals
Notes: Connection between areas and derivatives
Notes: Integration by substitution
Notes: Odd and even functions
Notes: The logistic function
Notes: The escape velocity of a rocket
Formula Sheet
Inferring displacement from velocity
Areas bounded by curves
Riemann sums and definite integrals
The Fundamental Theorem of Calculus and indefinite integrals
Connection between areas and derivatives
Integration by substitution
Odd and even functions
The logistic function
Module 5 quiz
Introduction to Calculus
Related Calculus Courses
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