Refresher Course in Mathematics

Refresher Course in Mathematics

Course modules

General information

General information
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General information 109534    
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    Introduction (text+video) Introduction (text+video)
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  • Quiz
    Diagnostic Quiz Diagnostic Quiz
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  • External URL
    Misprint Emergency Hotline Misprint Emergency Hotline
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1: Geometry & Trigonometry

1: Geometry & Trigonometry
Prerequisites: General information
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1: Geometry & Trigonometry 109525    
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    1.0: Introduction (video) 1.0: Introduction (video)
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  • Page
    1.1: Geometric facts about triangles 1.1: Geometric facts about triangles
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    1.2: Geometric facts about circles 1.2: Geometric facts about circles
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    1.3: A first look at trigonometry 1.3: A first look at trigonometry
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  • Quiz
    1.4: Geometry Quiz 1.4: Geometry Quiz
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  • Quiz
    1.5 Quick survey 1.5 Quick survey
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2: Sets & Numbers

2: Sets & Numbers
Prerequisites: 1: Geometry & Trigonometry
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2: Sets & Numbers 109530    
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    2.0: Introduction (video) 2.0: Introduction (video)
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  • Page
    2.1: Notation for sets 2.1: Notation for sets
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    2.2: Some vocabulary related to sets 2.2: Some vocabulary related to sets
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    2.3: An overview of numbers 2.3: An overview of numbers
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  • Quiz
    2.4: Sets and Numbers Quiz 2.4: Sets and Numbers Quiz
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  • Quiz
    2.5 Quick survey 2.5 Quick survey
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3: Arithmetic

3: Arithmetic
Prerequisites: 2: Sets & Numbers
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3: Arithmetic 113217    
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    3.0: Introduction (video) 3.0: Introduction (video)
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    3.1: Products and fractions 3.1: Products and fractions
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    3.2: Powers and roots 3.2: Powers and roots
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  • Quiz
    3.3: Arithmetic Quiz 3.3: Arithmetic Quiz
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  • Quiz
    3.4 Quick survey 3.4 Quick survey
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4: Algebra

4: Algebra
Prerequisites: 3: Arithmetic
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4: Algebra 109526    
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    4.0: Introduction (video) 4.0: Introduction (video)
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    4.1: How to solve equations 4.1: How to solve equations
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    4.2: How to solve inequalities 4.2: How to solve inequalities
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    4.3: Polynomials & factorisation 4.3: Polynomials & factorisation
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  • Quiz
    4.4: Algebra Quiz 4.4: Algebra Quiz
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  • Quiz
    4.5 Quick survey 4.5 Quick survey
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5: Functions I

5: Functions I
Prerequisites: 4: Algebra
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5: Functions I 109527    
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    5.0: Introduction (video) 5.0: Introduction (video)
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    5.1: Basic properties of functions 5.1: Basic properties of functions
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    5.2: Dilations, translations and inverse functions 5.2: Dilations, translations and inverse functions
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    5.3: Straight lines, the absolute value function and semi-circles 5.3: Straight lines, the absolute value function and semi-circles
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    5.4: Rational functions and asymptotes 5.4: Rational functions and asymptotes
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  • Quiz
    5.5: Functions I Quiz (part 1 of 2) 5.5: Functions I Quiz (part 1 of 2)
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  • Quiz
    5.6: Functions I Quiz (part 2 of 2) 5.6: Functions I Quiz (part 2 of 2)
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  • Quiz
    5.7 Quick survey 5.7 Quick survey
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6: Functions II

6: Functions II
Prerequisites: 5: Functions I
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6: Functions II 109531    
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    6.0: Introduction (video) 6.0: Introduction (video)
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    6.1: Exponential functions & logarithms 6.1: Exponential functions & logarithms
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    6.2: Trigonometric functions 6.2: Trigonometric functions
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    6.3: A look at inverse trigonometric functions 6.3: A look at inverse trigonometric functions
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  • Quiz
    6.4: Functions II Quiz (part 1 of 2) 6.4: Functions II Quiz (part 1 of 2)
    Score at least 3.5 Must score at least 3.5 to complete this module item Scored at least 3.5 Module item has been completed by scoring at least 3.5 View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark completed Must mark this module item done in order to complete Marked completed Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
  • Quiz
    6.5: Functions II Quiz (part 2 of 2) 6.5: Functions II Quiz (part 2 of 2)
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  • Quiz
    6.6 Quick survey 6.6 Quick survey
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7: Complex Numbers

7: Complex Numbers
Prerequisites: 6: Functions II
  • Complete all items
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7: Complex Numbers 109528    
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    7.0: Introduction (video) 7.0: Introduction (video)
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    7.1: Cartesian form 7.1: Cartesian form
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    7.2: Polar form 7.2: Polar form
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    7.3 Complex roots and the complex exponential 7.3 Complex roots and the complex exponential
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  • Quiz
    7.4: Complex Numbers Quiz 7.4: Complex Numbers Quiz
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  • Quiz
    7.5 Quick survey 7.5 Quick survey
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8: Differential Calculus I

8: Differential Calculus I
Prerequisites: 7: Complex Numbers
  • Complete all items
Module completed Module in progress Module locked
8: Differential Calculus I 109529    
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    8.0: Introduction (video) 8.0: Introduction (video)
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    8.1: Limits 8.1: Limits
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    8.2: The derivative 8.2: The derivative
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  • Quiz
    8.3: Differential Calculus I Quiz (part 1 of 2) 8.3: Differential Calculus I Quiz (part 1 of 2)
    Score at least 3.5 Must score at least 3.5 to complete this module item Scored at least 3.5 Module item has been completed by scoring at least 3.5 View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark completed Must mark this module item done in order to complete Marked completed Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
  • Quiz
    8.4: Differential Calculus I Quiz (part 2 of 2) 8.4: Differential Calculus I Quiz (part 2 of 2)
    Score at least 3.5 Must score at least 3.5 to complete this module item Scored at least 3.5 Module item has been completed by scoring at least 3.5 View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark completed Must mark this module item done in order to complete Marked completed Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete
  • Quiz
    8.5 Quick survey 8.5 Quick survey
    Score at least   Must score at least   to complete this module item Scored at least   Module item has been completed by scoring at least   View Must view in order to complete this module item Viewed Module item has been viewed and is complete Mark completed Must mark this module item done in order to complete Marked completed Module item marked as done and is complete Contribute Must contribute to this module item to complete it Contributed Contributed to this module item and is complete Submit Must submit this module item to complete it Submitted Module item submitted and is complete

9: Differential Calculus II

9: Differential Calculus II
Prerequisites: 8: Differential Calculus I
  • Complete all items
Module completed Module in progress Module locked
9: Differential Calculus II 109532    
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    9.0: Introduction (video) 9.0: Introduction (video)
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    9.1: Using the derivative to study functions 9.1: Using the derivative to study functions
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    9.2: Using the second derivative to study functions 9.2: Using the second derivative to study functions
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  • Quiz
    9.3: Differential Calculus II Quiz 9.3: Differential Calculus II Quiz
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    9.4 Quick survey 9.4 Quick survey
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10: Integral Calculus

10: Integral Calculus
Prerequisites: 9: Differential Calculus II
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10: Integral Calculus 109533    
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    10.0: Introduction (video) 10.0: Introduction (video)
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    10.1: Primitive functions 10.1: Primitive functions
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    10.2: Differential equations 10.2: Differential equations
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    10.3: The definite integral 10.3: The definite integral
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  • Quiz
    10.4: Integral Calculus Quiz (part 1 of 2) 10.4: Integral Calculus Quiz (part 1 of 2)
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  • Quiz
    10.5: Integral Calculus Quiz (part 2 of 2) 10.5: Integral Calculus Quiz (part 2 of 2)
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    10.6 Quick survey 10.6 Quick survey
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Epilogue

Epilogue
Prerequisites: 10: Integral Calculus
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Epilogue 113464    
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    Course survey Course survey
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