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Start instantly and learn at your own schedule.

#### Approx. 44 hours to complete

Suggested: 11 hours/week...

#### English

Subtitles: English

#### 100% online

Start instantly and learn at your own schedule.

#### Approx. 44 hours to complete

Suggested: 11 hours/week...

#### English

Subtitles: English

### Syllabus - What you will learn from this course

Week
1
8 hours to complete

## Precalculus (Setting the scene)

10 videos (Total 109 min), 8 readings, 9 quizzes
10 videos
Real line, decimals and significant figures15m
The Theorem of Pythagoras and properties of the square root of 211m
Algebraic expressions, surds and approximations10m
Equations and inequalities17m
Sign diagrams, solution sets and intervals (Part 1)10m
Sign diagrams, solution sets and intervals (Part 2)10m
Coordinate systems8m
Distance and absolute value5m
Lines and circles in the plane14m
Notes: Real line, decimals and significant figures20m
Notes: The Theorem of Pythagoras and properties of the square root of 220m
Notes: Algebraic expressions, surds and approximations20m
Notes: Equations and inequalities20m
Notes: Sign diagrams, solution sets and intervals20m
Notes: Coordinate systems20m
Notes: Distance and absolute value20m
Notes: Lines and circles in the plane20m
9 practice exercises
Real line, decimals and significant figures20m
The Theorem of Pythagoras and properties of the square root of 220m
Algebraic expressions, surds and approximations20m
Equations and inequalities20m
Sign diagrams, solution sets and intervals20m
Coordinate systems20m
Distance and absolute value20m
Lines and circles in the plane20m
Module 1 quiz1h
Week
2
11 hours to complete

## Functions (Useful and important repertoire)

13 videos (Total 142 min), 12 readings, 13 quizzes
13 videos
Functions as rules, with domain, range and graph11m
Polynomial and power functions13m
Composite functions7m
Inverse functions12m
The exponential function13m
The logarithmic function8m
Exponential growth and decay13m
Sine, cosine and tangent9m
The unit circle and trigonometry16m
Inverse circular functions11m
Notes: Functions as rules, with domain, range and graph20m
Notes: Polynomial and power functions20m
Notes: Composite functions20m
Notes: Inverse functions20m
Notes: The exponential function20m
Notes: The logarithmic function15m
Notes: Exponential growth and decay20m
Notes: Sine, cosine and tangent20m
Notes: The unit circle and trigonometry20m
Notes: Inverse circular functions20m
13 practice exercises
Functions as rules, with domain, range and graph20m
Polynomial and power functions20m
Composite functions20m
Inverse functions20m
The exponential function20m
The logarithmic function20m
Exponential growth and decay20m
Sine, cosine and tangent20m
The unit circle and trigonometry20m
Inverse circular functions20m
Module 2 quiz1h
Week
3
10 hours to complete

## Introducing the differential calculus

12 videos (Total 132 min), 10 readings, 11 quizzes
12 videos
Slopes and average rates of change10m
Displacement, velocity and acceleration11m
Tangent lines and secants10m
Different kinds of limits12m
Limit laws15m
Limits and continuity9m
The derivative as a limit10m
Finding derivatives from first principles14m
Leibniz notation14m
Differentials and applications (Part 1)13m
Differentials and applications (Part 2)7m
Notes: Slopes and average rates of change20m
Notes: Displacement, velocity and acceleration20m
Notes: Tangent lines and secants20m
Notes: Different kinds of limits20m
Notes: Limit laws20m
Notes: Limits and continuity20m
Notes: The derivative as a limit20m
Notes: Finding derivatives from first principles20m
Notes: Leibniz notation20m
Notes: Differentials and applications20m
11 practice exercises
Slopes and average rates of change20m
Displacement, velocity and acceleration20m
Tangent lines and secants20m
Different kinds of limits20m
Limit laws20m
Limits and continuity20m
The derivative as a limit20m
Finding derivatives from first principles20m
Leibniz notation20m
Differentials and applications20m
Module 3 quiz1h
Week
4
12 hours to complete

## Properties and applications of the derivative

14 videos (Total 155 min), 13 readings, 14 quizzes
14 videos
Increasing and decreasing functions11m
Sign diagrams12m
Maxima and minima12m
Concavity and inflections10m
Curve sketching16m
The Chain Rule9m
Applications of the Chain Rule14m
The Product Rule8m
Applications of the Product Rule9m
The Quotient Rule8m
Application of the Quotient Rule10m
Optimisation12m
The Second Derivative Test16m
Notes: Increasing and decreasing funtions20m
Notes: Sign diagrams20m
Notes: Maxima and minima20m
Notes: Concavity and inflections20m
Notes: Curve sketching20m
Notes: The Chain Rule20m
Notes: Applications of the Chain Rule20m
Notes: The Product Rule20m
Notes: Applications of the Product Rule20m
Notes: The Quotient Rule20m
Notes: Application of the Quotient Rule20m
Notes: Optimisation20m
Notes: The Second Derivative Test20m
14 practice exercises
Increasing and decreasing functions20m
Sign diagrams20m
Maxima and minima20m
Concavity and inflections20m
Curve sketching20m
The Chain Rule20m
Applications of the Chain Rule20m
The Product Rule20m
Applications of the Product Rule20m
The Quotient Rule20m
Application of the Quotient Rule20m
Optimisation20m
The Second Derivative Test20m
Module 4 quiz1h
4.8
68 Reviews

## 33%

got a tangible career benefit from this course

### Top reviews from Introduction to Calculus

By AMJul 25th 2019

This professor explained all topics covered in a year long calculus class in the span of five weeks. I highly recommend taking this course either to learn calculus or for a review.

By MAMar 29th 2019

its a very interesting course and i really want to learn this so thanks coursera community and specially the speaker for providing such a wonderful and handy knowledge and notes.

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