Maths Bridging Course - Algebra, Trigonometry and Calculus.
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This course is designed to have you ready and prepared to study mathematics, science or engineering at university. It follows a carefully crafted sequence of lessons that build upon each other. It starts at working with integers and finishes with integral calculus and covers all the major topics that you will need. You will be able to work through the course form start to finish or jump in with the topics that you need to brush up on.
The majority of the tutorial videos are no more then 10 minutes saving you time. All modules have a single A4 concept map which summarise all the key information for you saving you time.
Taking this course will ensure you are ready for university and will put you in a great position to achieve your goals. You will have access to all learning videos topic summary’s and checks of understanding.
This course will ensure you have the foundational mathematics knowledge to thrive at University. You will cover must know techniques of factorisation, simplifying and working with a variety of number types and foundational topics such as number, logarithmic laws, algebra and linear equations. You will then progress onto more advanced topics such as advanced algebra, trigonometry, functions, transformations, differentiation and integration.
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2Positive and negative numbersVideo lesson
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3Order of operationsVideo lesson
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4Introduction to fractions and adding and subtractingVideo lesson
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5Decimals and percentagesVideo lesson
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6Rounding DecimalsVideo lesson
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7Rational and irrational numbersVideo lesson
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8Introduction to surds and simplifying surdsVideo lesson
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9Simplifying SurdsVideo lesson
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18TrianglesVideo lesson
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19Pythagoras theoremVideo lesson
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20TrigonometryVideo lesson
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21The sine ruleVideo lesson
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22Solving triangles with the sine ruleVideo lesson
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23The cosine rule - Calculating side lengthVideo lesson
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24The cosine rule - Calculating angleVideo lesson
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25Measuring anglesVideo lesson
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26Measuring angles in radiansVideo lesson
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27Converting radians to degreesVideo lesson
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28Two special trianglesVideo lesson
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29Introduction to algebraVideo lesson
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30Introduction to Algebra - LanguageVideo lesson
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31Introduction to algebra - Operations with like TermsVideo lesson
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32Commutive, associative and distributive lawVideo lesson
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33Expanding brackets or 'parentheses'Video lesson
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34Expanding brackets special casesVideo lesson
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35FactorizingVideo lesson
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36Factorizing expressionsVideo lesson
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37Factorizing quadraticsVideo lesson
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38Factorizing quadratics exampleVideo lesson
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39Multiplying and dividing algebraic fractionsVideo lesson
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40Adding and subtracting algebraic fractionsVideo lesson
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41Introduction to linear equationsVideo lesson
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42Solving linear equationsVideo lesson
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43Cross multiply techniqueVideo lesson
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44Rearranging FormulaVideo lesson
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45Solving quadratics by factorizingVideo lesson
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46Solving by quadratic formulaVideo lesson
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47Solving log equationsVideo lesson
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48Solving Indicial equations (Part 1)Video lesson
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49Solving Indicial equations (Part 2)Video lesson
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50Exponential growth and decayVideo lesson
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51Solving trigonometric equationsVideo lesson
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52More trigonometric equationsVideo lesson
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53Other trigonometric equationsVideo lesson
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61QuadraticsVideo lesson
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62The discriminantVideo lesson
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63linear transformationsVideo lesson
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64Transformation of quadraticsVideo lesson
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65The Absolute functionVideo lesson
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66Hybrid (Piecewise) functionsVideo lesson
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67Inverse functionsVideo lesson
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68Graphs of exponential and logarithmic functionsVideo lesson
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69Composite functionsVideo lesson
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70The unit circleVideo lesson
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71Sine, cosine and tangent of angles in any quadrantVideo lesson
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72Examples of sin cos tanVideo lesson
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73Graphs of sine and cosine trig functionsVideo lesson
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74Phase shiftVideo lesson
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75Changing amplitude and period of sine and cosine functionsVideo lesson
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76Vertical shift and putting it all the transformations togetherVideo lesson
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77Transformations of sine and cosine functions worked examplesVideo lesson
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78LimitsVideo lesson
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79Continuous functionsVideo lesson
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80Rate and instantaneous rateVideo lesson
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81Derivative from 'first principles' or 'by the definition'Video lesson
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82Table of Derivatives Part 1Video lesson
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83Examples of derivativesVideo lesson
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84Graph of function vs its derivativeVideo lesson
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85Nature of turning pointsVideo lesson
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86Equations of tangents to curvesVideo lesson
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87Greatest and least value of a functionVideo lesson

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