Mathematics 1st Year

1. ALGEBRA	a. Functions
	b. Mathematical Induction
2. VECTOR ALGEBRA	a. Addition of Vectors
	b. Scalar (Dot) Product of Two Vectors
	c. Vector Product of Two Vectors
	d. Triple Product and Product of Four Vectors
3. TRIGONOMETRY	a. Trigonometric Functions
	b. Compound Angles
	c. Multiple and Sub Multiple Angles
	d. Transformations
	e. Periodicity, Variation and Graphs
	f. Trigonometric Equations
	g. Inverse Trigonometric Functions
	h. Hyperbolic Functions
	i. Properties of Triangles
	j. Heights and Distances
	k. Complex Numbers
	l. De Moivere's Theorem and Trigonometric Expansions
4. CO-ORDINATE GEOMETRY	a. Co-ordinate System
	b. Locus
	c. Change of Axes
	d. Straight Lines
	e. Pair of Straight Lines
	f. Three-dimensional Geometry
	g. Direction Ratios and Direction Cosines
	h. Planes
5. CALCULUS	a. Limits
	b. Continuity
	c. Derivatives
	d. Approximations and Small Errors
	e. Rate of Change
	f. Tangent and Normal
	g. Maxima and Minima
	h. Partial Differentiation