OUTCOME 3 - SINUSOIDAL AND VECTOR FUNCTIONS

TUTORIAL 1 - SINUSOIDAL FUNCTIONS Compound Angles Products and Sums Changing Sin to Cos and Cos to Sin Inverse Functions Sinusoidal Functions Hyperbolic Functions

TUTORIAL 2 - SINUSOIDAL WAVES Sinusoidal Functions Mechanical Examples Electrical Examples Complex Waveforms

TUTORIAL 2 - VECTOR FUNCTIONS Notation and Basic Rules The Unit Vector Vector Addition and Subtraction Resolution of Vectors 3 Dimensional Vectors

 OUTCOME 4 - CALCULUS

TUTORIAL 1 - DIFFERENTIATION Differential Coefficients Diff. of Polynomials Hgher Order Differentials Diff. of Quotients Diff. of Products Diff. of Logarithms Diff. of Exponentials Diff. of Circular Functions Diff. of Inverse Circular Functions Diff. of Hyperbolic Functions Diff. of Inverse Hyperbolic Functions

TUTORIAL 2 - MAXIMA AND MINIMA Turning Points Points of Inflection Test for Max or Min

TUTORIAL 3 - INTEGRATION Finding Areas Integrating Polynomials Integrating Logarithmic and Exponential Expressions Integrating Trigonometrical Expressions Integration by Substitution Integrating by Parts

SOLUTIONS TO SELFASSESSMENT EXERCISES