Careers360 Logo
Browse by Stream
Search Colleges, Exams, Schools & more
Interested in this College?
Get updates on Eligibility, Admission, Placements Fees Structure
Compare

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

Instructors

Articles

Similar College

Similar Courses

Geometric Algorithms

EIT Digital via  Coursera

Months 3Free

Single Variable Calculus

University of Pennsylvania, Philadelphia via  Coursera

Months 3Free

Data Science Math Skills

Duke University, Durham via  Coursera

Months 5Free
View All Courses

More Courses by The University of Sydney, Sydney

eHealth More than just an electronic record

The University of Sydney, Sydney via  Coursera

Months 3Free

The Place of Music in 21st Century Education

The University of Sydney, Sydney via  Coursera

Months 3Free
View All Courses

Explore on Careers360

Download Careers360 App
All this at the convenience of your phone

  • Regular Exam Updates

  • Best College Recommendations

  • College & Rank predictors

  • Detailed Books and Sample Papers

  • Question and Answers

Scan and download the app

OR

Back to top