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MATH 221:Algebra

 Polar coordinates; conic sections. Complex numbers: algebra, Argand diagram,  roots of unity.  Algebra of matrices and determinants, linear transformations. Transformations of the complex plane. Coordinate geometry in 3 dimensions. Vector...

MATH 124:Mechanics

In this course we deal with the calculus involved with motion. Kinematics deals with the study of motion without reference to the cause of the motion. So we first study kinematics and then we add the ingredient of the cause of the motion, force. So, we study...

MATH 123:Vectors and Geometry

 Vectors may be used very neatly to prove several theorems of geometry. This course is about applying  vector operations and the method of mathematical proof (of MATH 121) to geometric problems. The areas of study include:vector operations with...

MATH 122:Calculus I

Calculus is the mathematics of change and motion. This course develops the mathematics of change and the course MATH124 will explicitly develop the mathematics of motion. In this course we address: limits and continuity of real valued functions of a single...

MATH 121: Algebra and Trigonometry

Logic and concept of mathematical proof. Sequences and series. Set theory. Indices, logarithms and the algebra of surds. Concept of a function.Trigonometric functions, their inverses, their graphs, circular measure and trigonometric identities. Vector algebra...

*MATH 450:Differential equations II

Classification of second order partial differential equations. Legendre’s equation/polynomial. Gamma function and Bessel equation. Laplace transforms/equations. Fourier series. Boundary value problems. Application to heat conduction, vibrating strings...

*MATH 440:Abstract Algebra II

Finite groups. Sylow theorems and simple groups. Composition series and Jordan-Holder theorem. Direct and semi-direct products. Abelian groups, torsion, torsion-free and mixed abelian groups. Finitely generated group and subgroups. P-groups, nilpotent groups...

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