CALCULUS Book 2: 

Sections 01 / 02 of our 

GCE Advanced course: (year 14).

• The Exponential Function 
• The Natural Logarithmic Function: y = lnx 
• Composite Functions: the chain rule: connected rates of change 
• Ttigonometric Functions
• Differentiation of a Product/Quotient: worked examples
• Differentiation of Implicit Functions: worked examples
• Differentiation of Parametric Functions: worked examples
• Differentiation of Exponential Functions
• Exercises followed by fully worked answers

• Trigonometric Functions: sin x, cos x and tan x 
• Integration by Substitution / Parts: worked examples 
• Partial Fractions: linear factors / repeated factors in denominator; use of partial fractions in integration 
• Numerical Integration: trapezium rule; mid-ordinate rule; Simpson rule 
• Volume of Solid of Revolution
• Differential Equations: separation of variables; law of cooling; first/second order equations; auxiliary quadratic equation; particular integral (P.I.); complementary function (C.F.); arbitrary constant
• Practice Questions with fully worked answers