Credit Units: 3
LECTURER; MR DARAMOLA OLUMUYIWA MOSES ND,HND, NISLT, B.SC IN VIEW., E-MAIL; email@example.com, Department of Allied Health & Biological Sciences, College of Health Sciences
Students should be able to use these Mathematical skills in their various fields. This course aims at strengthening the capacity of the students in the field of Mathematical analysis.s
LECTURE THEME FOR MTH121ANDMTH111; This course incl ude the following lecture theme;
A. VECTOR, GEOMETRY AND DYNAMICS; Types of vectors; point line and relative vectors. Geometrical representation of vectors in 1-3 dimensions, nAddition of vectors and multiplicatiosn by a scalar, Components of vectors in 1-3 dimensions ; Directioncosineproduct of two vectos, linear independence of vectors- Point of division of a line, Scalar and vector products of two vectors . Simple application of 2 dimensional co-ordinate geometry; Straight lines. Anglle between two lines. Distance between points. Equations of circle, properties of parabola .ellipses, hyperbola, straight lines and planes in spaces; direction cosines; angle between lines; and between lines and planes; distance of a point from a plane, distance between two skewed lines.
b.CALCULUS; definitions, use of DELTA –process, formulae for sum,product and quotient, the chainrule, differentiation of derivatives including Simple algebraic, and trigonometric functions.
B. ALGEBRA AND TRIGONOMETRY; Real numbers system; simple definition of integral, rational and irrational numbers. The principles of mathematical induction. Real sequence and series theory of quadratic equations .Simple inequality. Absolute values and trianglinary es inequality , identities,partial fraction, Set and subet, union, intersection, Compliments. Properties of some binary operations of sets distributive, closure, associative, commutative laws with examples, Relations in a set equivalence relation. Properties of set functions and inverse set functions .Permutation and combinations.Binomial theorems of any index ,Circular measures , Trigonometry,trigometrical functions. Radian measure, periodicity of circular functions. Addition formulae and other basic identities. M addition and factor formulae.Complex numbers; algebra of complex numbers, the argand diagram, De Moivre’s theorem, n-th rooth of unity, Logarithm of numbers, Applications of the laws of Logaritms.
C .METHODS OF INSTRUCTIONS;
Method of course Assessment;Evaluation will be carried out in accordance with the University policy . The Lecturer will present a written course outline with specifiic evaluation Criteria at the beginning of the semester, Evaluation will be based on the following;
Class work and test 20
Semester Examination 70
Pre-requisite courses; None
Cases and Presentations; NILL
Co-requisite course ; Basic mathematics MTH111/O11
Recommended Reference materials;
Text Book; Pure Mathematics For advance level Student
Further Mathematics project by M,R. Tuttuh-Adegun and D , God’s Power Adegoke.
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