C3

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=C3 Topic List= Download and print the two sheets. One is a list of topics which you should use to review your __#|learning__ regularly and the other is for you to record your assessments results. Keep both in your __#|folder__.

=C3 Solomon Worksheets= __#|Please__ __#|follow the__ link to get the C3 Solomon Worksheets

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=C3 Revision workbooks= You can download the workbooks below to practice past exam questions per topic. There are three workbooks, differentiation, trigonometry and the last one is for the __#|rest__ of the topics (algebra, functions, transformations logartihms and numerical methods.







=C3 Video tutorials= F**unctions** || Notation Domain and Range Combining Functions Inverse Functions and Logarithms || The Exponential Function ex Natural __[|Log]__ Functions Modulus Functions [|Exam Questions]
 * **Chapter 1**
 * Algbraic fractions** || Rational expressions
 * [|Simplifying]
 * [|Addition and subtraction] || [|Exam Questions] ||
 * **Chapter 2**
 * [|f(x) notation]
 * [|Domain and Range 1]
 * [|Domain and Range 2]
 * [|Combination of functions]
 * Examples : [|1] | [|2]
 * [|The inverse of a function]
 * Examples : [| 1] | [| 2] | [|3]
 * [|Graphical relationship between f(x) and its inverse]
 * Examples : [|1] | [|2] || [|Exam Questions] ||
 * **Chapter 3**
 * Exponential**
 * [|Exponential function (ex )]
 * Sketching graphs [|1] | [|2] | [|3]
 * [|The natural logarithmic function, ln x] ||  ||
 * **Chapter 4**
 * Numerical methods** || Solution of Equations by:
 * [|Graphical methods]
 * [|Change of sign]
 * [|Iteration]
 * [|How it works] || [|Exam Questions] ||
 * **Chapter 5**
 * Transformation and Modulus** || Transformations of Graphs (Revision of C1 work)
 * [|Translations y = f(x ± a ) and y= f(x)± a]
 * [|Reflections y = - f(x) and y = f(-x)]
 * [|Stretches y = a f(x)]
 * [|Stretches y = f (ax)]
 * [|The modulus function]
 * [|Graph y=|f(x)|]
 * [|Graph y=f(|x|)]
 * Modulus Equations
 * [|Equations 1]
 * [|Equations 2]
 * [|Equations 3]
 * Modulus Inequalities
 * [|Inequalities 1]
 * [|Inequalities 2]
 * [|Inequalities 3] || Transformations of Graphs

Modulus Functions [|Exam Questions] || Inverse __[|trig]__. functions Identities
 * **Chapter 6**
 * Trigonometry** || Secant, Cosecant and Cotangent
 * [|Definitions of Secant, cosecant and cotangent]
 * [|graphs]
 * [|arcsin x]
 * [|arccos x]
 * [|arctan x]
 * Examples : [| 1] | [| 2] | [| 3]
 * Pythagorean type: sin²x + cos²x ≡1 ; 1 + tan²x ≡ sec²x ; 1 + cot²x ≡ cosec²x
 * [|Introduction and Proof]
 * Examples : [|1] | [|2] | [|3] | [|4] | [|5] | [|6] | [|7] | [|8]


 * Addition type: sin(A±B), cos(A±B) and tan(A±B)
 * [|Addition Formulae (compound angles)]
 * Using the formulae to get exact values:Examples : [|1] | [|2]
 * Proving identities :Examples : [|1] | [|2]

Equations using:
 * Double angle type for sin2A, cos2A and tan2A
 * [|Double angle formulae] Examples : [| 1] | [| 2] | [|3]
 * Half angles
 * [|Half angles (1)]
 * [|Half angles (2)]
 * Factor Formulae
 * [|Factor Formulae (1)]
 * [|Factor Formulae (2)]
 * [|Factor Formulae (3)]
 * A cos x ± B sin x and A sin x ± B cos x type
 * [|A cos x ± B sin x and A sin x ± B cos x]
 * the identities : sin²x + cos²x ≡1 ; 1 + tan²x ≡ sec²x ; 1 + cot²x ≡ cosec²x: Examples: [|1] | [|2] | [|3]

The Chain Rule The Product Rule The Quotient Rule A Special Result
 * the identities for sin2A, cos2A and tan2A Examples: [|1] | [|2] | [|3] || [|Exam Questions] ||
 * **Further trigonometry** || * the identities for A cos x ± B sin x and A sin x ± B cos x
 * Examples : [|1 and 2] || [|Exam Questions] ||
 * **Chapter 8**
 * Differentiations** || Using the Formula __#|Book__
 * [|exponential function ex, natural log ln x and trig types sin x, cos x, tan x]
 * [%5En/tutorial1.php|The chain rule]]
 * [%5En/tutorial1.php|polynomial to a rational power types]]
 * [|exponential types]
 * [| natural log types]
 * [|trigonometric types (1)]
 * [|trigonometric types (2)]
 * [|The product rule]
 * [|The quotient rule]
 * [|example]
 * [|Using the result dy/dx = 1 ÷ dx/dy] || Miscellaneous Exam Practice
 * [|Methods]
 * [|Applications - tangents, normals and stationary points]
 * [|Exponential Rates of change] ||

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