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Quick Facts

Medium Of InstructionsMode Of LearningMode Of Delivery
EnglishSelf StudyVideo and Text Based

Courses and Certificate Fees

Fees InformationsCertificate AvailabilityCertificate Providing Authority
INR 2436yesCoursera

The Syllabus

Videos
  • 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
Readings
  • 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
Practice Exercises
  • 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

Videos
  • 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
Readings
  • 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
Practice Exercises
  • 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

Videos
  • 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)
Readings
  • 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
Practice Exercises
  • 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

Videos
  • 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
Readings
  • 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
Practice Exercises
  • 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

Videos
  • 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
Readings
  • 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
Practice Exercises
  • 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

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